diff --git "a/data/dm_maths/full_data_2/10900_11255.jsonl" "b/data/dm_maths/full_data_2/10900_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10900_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the third derivative of 1784480*c**3*v + 501*c**2*v + 2*c**2 wrt c?\nAnswer: 10706880*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(704) + sqrt(704)*-1)*5 + -4*(sqrt(704) - (sqrt(704) + sqrt(704) + 2 + sqrt(704)) - sqrt(704))))**2.\nAnswer: 24576*sqrt(11) + 1623040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 48.8, 2, 7, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6176 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 at least -707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.65 and 0.3?\nAnswer: 0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 7*j = -5*w - 10*j + 175, -4*w = -6*j - 140 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((576\/(-4))\/2)\/(50\/(-75)) is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 3fb4?\nAnswer: 3fb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1220 - -10?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.06 + -0.06. What is the closest to x in -3\/2, -2\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -239\/418 - -1\/38. Which is the closest to 0.01? (a) h (b) -2\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2037, -5, 243 in decreasing order.\nAnswer: 2037, 243, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1481450, -5925781, -13332992, -23703077, -37036030, -53331845, -72590516?\n\"Answer: p**3 - 1481446*p**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*6\/36*(-2)\/(-24).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 2*p**2 + 3*p - 1. Let l be w(2). Let j = 7 - l. Let t(b) = -j + 6 + b + 0. Determine t(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2168 - 152*s**2 - 2168)*(-423 - 409 + 817)*(5 + 4*s - 5) to the form k*s**3 + d*s**2 + x*s + w and give k.\nAnswer: 9120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85 + -65. Let h be -2 - 15\/(-3) - 75\/t. Let k = 3 + -1. What is the second biggest value in h, 1\/2, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-13 - 6) - (1 + 3)) + (-27500)\/2508?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)\/x*x\/x**(1\/2))**(-1\/4)\/((((x\/(x\/x**(-2)))\/x)\/x)**(-3\/19))**(-3\/10) assuming x is positive.\nAnswer: x**(1569\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 17. Suppose y = 5*v + 20, -z + 2*v - 222 = 4*z. Let m = z - -53. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -2*g - g, 4 = 2*g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o + 44. Let n be s(14). Solve n*r = -r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 7 + 3, -5*h + 5*w - 20 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10*208\/(-1440) + 10\/(-6). Let v = 41.9 + -40. Which is the third biggest value? (a) v (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 5*j + 3. Let r(i) = i**3 + i**2 - 5*i + 4. Let c(a) = 4*q(a) - 3*r(a). Let d(y) = -y**2 + y. Calculate -3*c(n) - 15*d(n).\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 + 20. Calculate t(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10149 and 357.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/3)\/(22\/(4*21\/14))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 3. Let j be v(-3). Suppose -i + r - 4 = -0*r, -2*i + r - 4 = j. Suppose -z = -i*z - 2. Sort -0.1, z, 2\/3 in decreasing order.\nAnswer: z, 2\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 6 in ascending order.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334617836?\nAnswer: 2, 7, 11950637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 644*x - 1904. Determine v(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 881102 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 216.61452485 + 1440471.38642515. Let r = 1440652 - x. Let b = 36 + r. Round b to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145461 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2)**(-30)*s**(3\/8)*s**(1\/7))**(10\/7) assuming s is positive.\nAnswer: s**(-16655\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(-6))\/(2\/(-4)))\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 132 = 6*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 52\/5 (c) -2\/11 (d) -5 (e) -0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 828225512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 + 2 - 3*m + 2*m**4 + 5*m**2 - m**2 in the form v + u*m**3 + s*m + q*m**2 + a*m**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7929*b**4*f - 5*b**3*f + b**2*f + 507*b**2 - 2*b wrt b?\nAnswer: -190296*b*f - 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*s = 71*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, s: 6, l: 5, o: 4}. What is prob of sequence lho?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d - 2. Let n be v(-2). List the prime factors of ((-118)\/n)\/(1\/(-4)).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 39. Let t be 2\/a - 4\/22. Suppose 2*z = -t*z + 22. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.485 - 62.485. Let n = 62.2 + h. What is the nearest to -3 in 3, -4, n, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 4*f**3\/3 + 4*f**2 + f. Find the first derivative of a(u) wrt u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2201003 (base 4) to base 12\nAnswer: 5b6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 30 - 108. Suppose 0*h + 23 = h. Calculate the highest common factor of t and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25631 and 797259?\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98789473619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 381, 766, 1151?\n\"Answer: 385*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + n - 10. Determine m(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 466? (a) 0.2 (b) 1\/7 (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 425 - 150. Suppose -5*t - 5*y = -140, -t + 2*y + 69 = 2*t. Calculate the highest common factor of v and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -185, -369, -553, -737?\n\"Answer: -184*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 316 and 1817.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -419 and -4?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2. Let l(a) = a**2 - 8*a - 1. Let k be 14\/35*(2 + (-1)\/(-2)). Let d(q) = k*l(q) + 4*i(q). Factor d(o).\nAnswer: -(o + 1)*(7*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91182630 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -20648 at least as big as -20653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s. Let k(b) = b. Let z(t) = -3*t. Let v(p) = -5*k(p) - 2*z(p). Let j(i) = -4*o(i) - 5*v(i). Let y(n) = -2*n**2. Give y(j(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29.518 - 29.118. Let m = 5\/29 + 13\/261. Is c at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 11:14 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u + 34*u = 2*z + 2171, -2*z = 3*u - 1309. What is the greatest common factor of 45 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1830)\/(-450) - (-2)\/(-30). Solve 24 = a*f - 4*x, 5*f - 12 = 4*x + 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2575\/19 or -137?\nAnswer: -2575\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10))\/((-3135)\/4125)?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**2 - g + 1. Let a be z(-1). Suppose w + a*w - 8 = 0. What is the nearest to w in 2\/9, -0.3, 2\/11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 44.5. Let r = y - 9.86. Let v = r - 4.64. Sort 3\/8, -2, 5\/3, v in increasing order.\nAnswer: v, -2, 3\/8, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17.56634l?\nAnswer: 17566.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3376 divided by -16\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7819185, 7819181, 7819177, 7819173, 7819169?\nAnswer: 7819165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 45 = 2*q. Let o be ((-6)\/9*-159)\/((-126)\/175). Let d = 147 + o. Sort -0.1, d, q.\nAnswer: d, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**4 - v**2 - 2*v - 1. Let o(u) = -u**5 - 62*u**4 + 94*u**2 - 6*u - 3. Let t(c) = -o(c) + 3*r(c). What is the third derivative of t(m) wrt m?\nAnswer: 60*m**2 + 1560*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*w + 368*w - 1749 = 0 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 74, 111?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*a**3 + 10 - 10 + (3*a**2 - a**2 - 4*a**2)*(0*a - 3*a + a))*(-a + 3*a - 6*a) as z*a**4 + f*a**3 + i*a + c + x*a**2 and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 14) in base 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5\/5 + 36*g**4 - 566*g**3\/5 - 144*g**2 + 2232*g\/5 = 0.\nAnswer: -93, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -176094372*o - 534384. Let z(y) = 14829*y + 45. Calculate -5*c(g) - 59376*z(g).\nAnswer: -14844*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c + 145 = -7*c. Let d(k) = 874*k - 133. Let p(j) = 4 - 33*j - 1 + 2. Let y(n) = c*d(n) + 133*p(n). Let t(z) = -2*z**2. Calculate y(t(i)).\nAnswer: 38*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 15 + 3 = -v, 2*v + 2*q - 24 = 0. Let l be (-1)\/(-4) + (-15)\/(-4). Suppose 48 - v = l*a. Calculate the remainder when 16 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b - 5. Suppose -5*i = -4*r - 80, -2*i = 2*i - 2*r - 58. Calculate the smallest common multiple of p(-8) and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 4*a + 0*a)*(6*a + 2*a - 5*a) + (-1 + 0 - 5)*(4 - a**2 - 4).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.046 * 181.6.\nAnswer: 8.3536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**2 - o**2 - 3*o**2 + (-o - 3*o - 4*o)*(2*o - 3*o + 3*o) to w + c*o + m*o**2 and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - 7*x + x - 6*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/80 and -47\/28.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35492?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 394*t + 1978. Determine k(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1404992.\nAnswer: 2, 29, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119 by 3632.\nAnswer: 119\/3632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 - 49. Suppose 4*i = -2*c - c - 64, 5*i = -2*c - 38. Let n = c + 31. What is the highest common divisor of n and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8647)\/(-201)*(-2)\/8. Let w = -21\/268 + n. Find the common denominator of 35\/11 and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -3 + 3*i - 1\/3*i**3 - 2*i**2. Let t(l) = l**2 + l - 1. Give g(o) + 3*t(o).\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018534833 to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1240400 + 403?\nAnswer: 1241303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -8 + 18. Calculate the remainder when 67 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16643 (base 7) to base 9.\nAnswer: 6505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*p = 365*p - 12058 + 2874 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -59*p + 599. Let w be m(7). Calculate the highest common divisor of w and 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111010101001100111 - -1?\nAnswer: -100111010101001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(475)*2 + 2)*1 - (-3*(sqrt(475) + 1)*-1*-3)**2.\nAnswer: -38554 - 840*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 12:47 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21780*r**2 - 44344608*r + 112858371136\/5 = 0. Calculate r.\nAnswer: 167972\/165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7496362, 7496354, 7496346, 7496338, 7496330, 7496322?\nAnswer: 7496314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/35)\/((-88)\/(-110))*2\/1\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*2*sqrt(2299) + -1*(-1 + sqrt(2299)))*-5)**2 + -2 + -2.\nAnswer: -6600*sqrt(19) + 2069196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 227 in -1\/6, 11, -11, 0.1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-15))\/((-82)\/615)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 4*x + 20, 4 + 7 = 4*a - x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 4*c**2 + 5*c - 3. Let h be r(5). Let i = 111489 + -111470. What is the greatest common divisor of h and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -15 + 39. Suppose 11*c - v = 7*c. Let z(u) = -2*u**2 - 5*u**2 + u + 0*u. Let p(g) = -3*g**2. Determine c*z(a) - 5*p(a).\nAnswer: a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38275?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 1, -31, -87, -173?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (137 - 42*p - 137)*(4 - 6 + 13).\nAnswer: -462*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/9, -0.00136, -2\/17, -0.5, -4, 0.08, 5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29\/7 - -30\/7. Solve 0*t**3 + 2\/7*t**4 - 2\/7*t**2 + 1\/7*t + 0 - m*t**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*j + 62, f - 5*j = -4*f + 280. What is the greatest common divisor of f and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1343129 from 0.291.\nAnswer: 1343129.291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1 - (5 + -9 + 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 + 14*c + 4. Let t(g) = 12*g**2 + 56*g + 13. Let p(v) = 9*j(v) - 2*t(v). Determine p(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 105\/(-12) - (-1)\/(-4). Let u(h) be the first derivative of -h**3\/3 - 9*h**2\/2 - 4*h - 289. Determine u(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/33 and 36\/18119?\nAnswer: 597927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 3*a**2 - a**2 + 0*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2241 divided by 249\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -6, -1, 0.5, 51?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 35*q**2 + 4*q - 3. Is b(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by -1?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.022 - 0.022. What is the third smallest value in j, 1\/5, 0.5, 2\/19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349 = -28*p + 519. What is the highest common factor of 713 and p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 5*x + 14. Let h be d(-7). What is the closest to -1\/3 in -0.3, -4, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2056 = 3*c + 5*d, -3*c + 606 + 1490 = -5*d. What is the remainder when c is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g - 1. Let y be j(-2). Suppose 546 - 136 = 5*t + y*i, -2*i = -3*t + 266. Suppose 4*s - 3*s = 2, 3*m - 5*s = t. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 2:06 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 0*y + 110\/3*y**3 - 9*y**5 + 0*y**2 - 112 + 0*y**4. What is the third derivative of f(q) wrt q?\nAnswer: -1080*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*o + 6325 - 6100 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.71752 meters in millimeters?\nAnswer: 66717.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 248832 and 399168.\nAnswer: 19160064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/3)\/(35\/(-42))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 525167494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2916225 is divided by 31697.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*t - 42 = -239*t - 2*b, 2*t - 4*b = -36 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10566\/54 - (-4)\/(-6). What is the greatest common factor of 75 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 8. What is k(-30)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s - 20 = 0. Suppose -88 = -4*g - 3*u, 3*g - s*u - 1 - 36 = 0. What is the remainder when 94 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-160)\/104*182\/(-35). Solve -2*r + 28 = -5*z, r + 6*z - 7*z - g = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 320 + -1003?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 917197223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 2\/13 (c) -0.4 (d) -3\/4 (e) 422\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*q = -4449, 4*q = w + 161 - 2398. Suppose -z = -3*r + w - 744, -z + 3 = 0. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -4 (c) 1.06 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*u + 84, u - 4*l + 82 = -u. Suppose 96 = 27*w - 66. Calculate the remainder when 57 is divided by w\/27 + (-665)\/u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**6\/75 - t**5\/25 + 2*t**3\/15 - t**2\/5 - 3*t - 1. Let x(a) be the first derivative of h(a). Factor x(o).\nAnswer: 2*(o - 1)**3*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16255 + -71242\/5. Let i = 1995 - l. Calculate the common denominator of i and 38\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 + -121. Suppose 0*y - 4*y + 36 = 0. Suppose -3*l + y = 5*s, 4*s - 6 = -2*l + 2*s. Put -3, l, n in descending order.\nAnswer: l, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8136085, -8136082, -8136077, -8136070, -8136061?\nAnswer: -8136050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*(-8)\/84 - (-621)\/7.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -2446?\nAnswer: 2441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 m, 1 c, and 1 k when four letters picked without replacement from {m: 5, a: 1, n: 9, k: 2, c: 1}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 72 = 52 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -4 + 4 - 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 2*v = 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + r = -83, -3*d + 209 = -5*r + 146. What is the nearest to -2\/9 in d, 0, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, p: 1, e: 2}. Give prob of sequence ep.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32258*v**4 - 13173*v**2.\nAnswer: 774192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/21 - 10\/(-35)) + (-52)\/(-65)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11\/6 (b) -174 (c) 0.2 (d) -0.02 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-62)\/10 - -6) + (-72)\/(-210). Which is smaller: -3\/5 or c?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxmxrxmxmmrxtrxxxmm. Give prob of picking 1 x, 2 r, and 1 t.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -42, -83, -124?\n\"Answer: -41*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 12*a**3 + 12*a**2 + 33*a - 38. Calculate s(-4).\nAnswer: -746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 2435175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243\/540*(-15)\/18.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - 1) + 90\/10. Solve -13 = o + 2*y, 5*y + 2 = 3*o - a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06+99886614177\nAnswer: 99886614177.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10896 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 6. Let k(x) = x - 5. Calculate k(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/14 and -81\/20902.\nAnswer: 20902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(l**2 - 2*l + 2*l)*(4*l + 0*l - 2*l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 968 and 8?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.08 and -0.02328722334.\nAnswer: -0.10328722334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 90*s + 1455. Let a = 101 + -69. What is the remainder when q(-71) is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 517351495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-3 + 3) - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/(-630))\/(36\/(-300)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f + 12. Let j(d) = d**3 - 3*d**2 + d + 4. Let v be j(4). Let l be (-2)\/f*v\/16. What is the closest to -0.1 in 1\/7, l, 0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2176 - 2165. Let m(z) = -z**3 + 11*z**2 + 10*z - 103. Determine m(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-71)\/(-71))\/(6\/42).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/2 of a decade?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 46.1. Let r = q + -1.1. Which is the nearest to 2? (a) r (b) 0.1 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 3*o. Let d(a) = -a**2 - 4. Let s be d(o). Sort -5, s, 2.\nAnswer: -5, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 5, 8, -6 in decreasing order.\nAnswer: 8, 5, 3, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5630697*y**2. Let x(q) = -q. What is x(z(o))?\nAnswer: -5630697*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7, 39, 101, 199, 339, 527, 769, 1071?\n\"Answer: w**3 + 9*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 = 5*s, -5*s + 0*s = -10. Let v be 11\/k*(7 + -5). Calculate the highest common divisor of 44 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-52)\/(-9) + 1\/(9\/2). Is (((-14920)\/6)\/(-10))\/(o\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373161 is divided by 92?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 52 + 1527787?\nAnswer: 1527850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 3*s - 39, -41 = -3*y - 3*s + 2*s. Suppose -20 + y = -2*l. Calculate the remainder when 15 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1183 and 637?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 131302364 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 562930*n**2. Let o(z) = 29*z. What is o(v(w))?\nAnswer: 16324970*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25482 + 280320\/11. Find the common denominator of -63\/1445 and z.\nAnswer: 15895","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-44)*(-15 - 1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477547687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157802054.\nAnswer: 2, 1451, 54377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-6)*(64 + -66).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*p + r - 5, -3*p + 35 = 4*r. Let h be 45 - 0\/((-3)\/1). What is the highest common factor of h and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 25 = -5*s. Suppose p = 3*v - 24, 3*v + 32 = s*v - 4*p. Calculate the common denominator of -1 - 218\/24 - (7 - v) and 43\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -82*i**3 + 1543*i**2 - 53009*i\/8 + 33033\/4 = 0.\nAnswer: 11\/4, 546\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -17. Suppose 5*h + 2 + 23 = g. Let a(n) = n**3 + 6*n**2 + 4*n - 4. Let m be a(h). Are 1 and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 10*o = 9*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**2 - 7480479*o + 74060408?\nAnswer: 2*o - 7480479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000246800149 rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1\/5 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.4 - 6. Let m = -24\/19 - -259\/190. Which is the third smallest value? (a) 1\/5 (b) m (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 9. Suppose g = -4*c + 26 + 25, 2*c + 5*g = 21. Let f be ((-11)\/(-5) - 2)\/(c\/26). Sort n, -2\/5, f in descending order.\nAnswer: n, f, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120 + -107 - -39) + -163?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (-53 - -36) + 9 + -1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -377 + 382. Solve 5*v = 10*v + k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Suppose -4*x - 16 + 4 = r. Let p(m) = 2*m**2 + 3*m - 3. Is p(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15029*d**2 - 3 - 3*d**3 + 2*d - 2*d**4 + 14982*d**2 + 0*d + 3*d**3 - 2*d**3 to p*d**2 + x*d + r*d**3 + l*d**4 + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffq when three letters picked without replacement from tiqffitqifiqftiiq?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 4\/3 (c) -1 (d) -2\/79 (e) 4\/7 (f) 2\/219\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10411 and -251.\nAnswer: 2613161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*x - 16, -5*k - 201 = -5*x - 21. Which is smaller: x or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18502102*l**4 + 140168862*l?\nAnswer: -222025224*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -56\/3*i - 18 - 2\/3*i**2 = 0. What is i?\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2989019088.\nAnswer: 2, 3, 11, 373, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 182\/33 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-15)*j*(j**(-1\/4)\/j*j)\/j assuming j is positive.\nAnswer: j**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2)\/(-3) - (-8)\/24. Let h = -3 + 4. Let v be (2 - 3 - -1)\/h. What is the closest to x in -1\/9, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/3))**(-11))**(-2\/75) assuming x is positive.\nAnswer: x**(44\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*s + 131 = -95 - 294 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 94. What is the units digit of m(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -197.9 - -197.89999963896. Round i to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 717 and 67159?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 3)*(804 + 680 - 332)*(0 - 2*q**2 + 0) to the form d*q**2 + i*q + o and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 + 6876*g - 3435*g - 43 - 6*g**2 + 4*g**2 - 3439*g to q + n*g**2 + o*g + y*g**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(11) + sqrt(539))**2 - (sqrt(110) + (sqrt(110) - (sqrt(110) + 4*sqrt(110) + sqrt(110) - sqrt(110))))\/sqrt(10)) + -3.\nAnswer: 3*sqrt(11) + 697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 116*m - 225*m + 110*m - 10 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1319 = 9*n - 4919. Let k be (n\/65 - 2) + -4. What is the smallest value in 51, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -163.3, -0.7, -1\/5, -2\/47, 0.1, 1?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 6205109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132454 = -5*r + 3*y - 46486, 5*y + 17176 = r. Is r a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 - 111*s. Let n(v) = -90056*v. Calculate n(m(j)).\nAnswer: -270168*j**2 + 9996216*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2109*z - 2022*z - 3 + 4)*(45*z - 325*z - 57*z) to f*z + w*z**2 + u and give f.\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2717 and -37\/78.\nAnswer: 16302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = m - 5. What are the prime factors of (-4)\/m + (-40)\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 511850 and 330600?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3 - 31*c**2 - 43375*c - 5*c**3 - 5 + 2 + 42150*c wrt c?\nAnswer: -30*c - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 1. Let t be x(4). Suppose 0 = -t*l - 0*l + 130. Calculate the greatest common factor of l and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3011082 to the nearest integer?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*g + 35, -6*g = -g + x + 25. Let f(n) = n + 7. What is the units digit of f(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 6*b**2 + 2. Let q be u(6). Suppose -5*k = -r - 195 - 10, 2*k - 82 = -q*r. Let a = k - 23. What is the remainder when 35 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59736398.1 - -399?\nAnswer: 59736797.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 69\/5 - 8\/10. Suppose 6*t - 43 = -s. Solve 0*n**3 - n**3 - 5*n**2 - 2*n - t*n**2 + 7*n**2 = 0 for n.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1159 is divided by 68?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 17*u**2 - 64*u - 10. What is p(5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555*c + 433*c + 2318 = 0 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*m + 5*g, 3*m + 12 = 6*m - g. Which is the smallest value? (a) -4 (b) 2\/19 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*b + 12 = 0, 52 = 2*k - 3*b + 7. What is the smallest common multiple of k and (-35)\/(-28)*32 + -13?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (-1 - (-62)\/(-2)). Let n = -60 - x. Let u = 88\/3 + n. Is 0.3 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 54, 524, 1812, 4326, 8474, 14664, 23304, 34802?\n\"Answer: 68*s**3 + s**2 - 9*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 e when two letters picked without replacement from {e: 19, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-228)\/(-120) - (-6)\/(-4). Let r be 1\/(7\/4 - 2). Which is the biggest value? (a) d (b) r (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrrrrxr. Give prob of picking 2 r.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 28801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37\/3 in 0.6, 2, 12?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -150639175963 minus 67?\nAnswer: -150639176030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11173 is divided by 308.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, j: 13, r: 2}. Give prob of picking 1 j and 1 w.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5705601711?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 79 + 36\/7*w**4 - 24\/7*w**2 + 12\/5*w**5 + 0*w + 5\/14*w**6 + 16\/7*w**3. Factor y(a).\nAnswer: 3*a*(a + 2)**3*(5*a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = -0*w, -5*w = 2*h - 23. Suppose h*p = -2 + 10. Suppose -p + 3 = c. Calculate the smallest common multiple of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46530 divided by -18\nAnswer: -2585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000047844 rounded to six decimal places?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/463 in -1\/2, -2\/3, 85?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6024283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22217*k + 7410*k + 7418*k = -7412*k + 1863 for k.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from qeoogdccoeodqg.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = 19*b - 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2593 or 1568217\/605?\nAnswer: 2593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -8.03. Let l = 0.33 + q. Let b = l - 5.3. What is the closest to -2\/7 in -3\/2, b, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 638561 and 231.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 35*d + 75. Let m(a) = a**2 - 103*a - 226. Let u(r) = 8*h(r) + 3*m(r). Calculate the smallest common multiple of 261 and u(12).\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -193466 + 193466 + a**2. Let g(l) = -l + 178. Give g(j(o)).\nAnswer: -o**2 + 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 - 63*o**2 + 34*o + 12. Let a be q(31). Calculate the greatest common divisor of 168 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 413 - 365. Calculate the greatest common divisor of j and 1068.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*f = 163*f + 5*c + 518980, -10 = -2*c. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144095.\nAnswer: 3, 5, 89, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 836399 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -47*d + 40*d. Suppose -j = -0*j + d*q - 22, 0 = 5*j + 3*q - 25. Find the third derivative of -28*x**j - x**2 - 3*x**5 - 14*x**4 + 14*x**4 wrt x.\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6720 and 525.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/3)\/((-80)\/9000). Let a be 353\/(5 + (-1497)\/z). What is a rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*x**2 - 19*x**2 - 5*x**4 + 15*x**4 wrt x.\nAnswer: 240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(539))**2 - (sqrt(11) + sqrt(44)\/sqrt(4) + -5 + sqrt(11)) - (-1 + ((sqrt(1331) + (sqrt(1331) - 1*sqrt(1331)*3))**2 - sqrt(1331))))*3.\nAnswer: -2358 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + i = -19, -3*i = 3*f - 5*i + 14. What is the units digit of (-69)\/(-5) + f\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266193 - 161513 = -2*o. Let v = -16858 - o. Let r = 83711 + v. Round r to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -7*y**2 + 8. Let u = 20 - 14. Let w(a) = -u*a - 2*a + 6*a**2 + 8*a - 9. Let k(h) = -3*m(h) - 4*w(h). Determine r so that k(r) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c. Let y = 43 - 41. Suppose 2*j - q - 6 = -y*q, 4*j - 2*q = 20. Let t(h) = -6*h**2 - j*h**2 + h**2. Give t(d(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o**3 + 3*o - 3. Let u(p) = 17*p**3 + 5*p - 5. Give -6*u(q) + 10*x(q).\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.3? (a) 0.1 (b) 3\/8 (c) -3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3143, 12589, 28331, 50369, 78703, 113333?\nAnswer: 154259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, 26, 4 in descending order.\nAnswer: 26, 4, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*g + 12 = 2*g, 3*s - 3*g = 21. Suppose -122 = -s*x + 4*c + 31, -5*x = -2*c - 149. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 + 177*i**2 + 92*i + 354. What is w(-88)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96167\/234090 - 4\/1445. Find the common denominator of i and -29\/54.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u - 30 = 2*s, -5 = u + 2*s. Let w(z) = z**3 - 2*z + 13. Let x be w(0). Suppose 5*r + 4 = -4*g - x, 0 = -r - u. Solve g = -n - 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1 + (-6)\/(-3)*629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvyy. Give prob of sequence yyv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 6*g = 9, -3*c - 2*g = -1294 + 1281 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*t + 137*t + 45*t + 5497 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3264)\/(-85) + (-12)\/5 + 2 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4514, 24012, 76962, 180098, 350154?\n\"Answer: 2789*a**3 - 8*a**2 - a + 1734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + 0*u + u - u + u + 2*u + (0*u - u + 0*u)*(-1 + 2 - 3) - 6*u + 4*u + 0*u + 2*u + u - 2*u + (0 - 1 + 3)*(2 - 2 - 2*u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from xxnxxnnnnxnx.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 424, 423, 424, 427, 432?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 712050473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1012*-0.3\nAnswer: 303.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 12, -3, 2\/9, 0.07, 1\/10, -18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 856 - 53686*k - 856 + 53686*k + 507*k**3.\nAnswer: 507*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 5*d + 2575. Let u = -357 - d. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (6 + 29) - -42.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*j + 32382 = 32830 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 2*f + 2*f)*(-2*f + f - f) + (3*f - f - f)*(-1188 + 50*f + 1188).\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.825 - -0.125. Let w = d + 6.700884. What is w rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 5*f - 5*a - 40 = 0, 3*f - 5*a - 16 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3640700 divided by 245.\nAnswer: -14860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23647 is divided by 114.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, f: 1, y: 1, s: 7}. Give prob of sequence yjj.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/3 + 11452*l\/3 - 150904.\nAnswer: 4*(l - 39)*(l + 2902)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*i**3 - 2*i**2*q**2 - 43*i**2*q + 2*i*q**2 + 447*i*q - 2*q**2 wrt i?\nAnswer: -48*i - 4*q**2 - 86*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 384.948mg to kilograms.\nAnswer: 0.000384948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 9*x**2 - 53*x**2 - 42*x**2 + 5.\nAnswer: -104*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4743 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2152 - -298. Suppose i = -a + 6*a. Let t = a - 21. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001105994738 to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 + 10885?\nAnswer: 1089c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/26 - (-18)\/117. Which is the third biggest value? (a) h (b) 1 (c) -1\/11 (d) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-2)\/4*-2. Let x be (-5)\/7*(-1)\/((-40)\/24). Which is greater: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-9*d - 10*d + 14*d) + 2*d + 0*d + 2*d - 3 + 41*d - 40*d + 10 + (-3*d + 4*d + d)*(-2 + 0 + 4).\nAnswer: 14*d + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, 16, 35, 60?\n\"Answer: 3*a**2 + 4*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/145268 and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**5\/20 - y**4\/12 + y**3\/6 + y**2\/2 + 7*y - 3. Let b(l) be the first derivative of r(l). Factor b(i).\nAnswer: -(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 19477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 666 and 1887?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1212 by 6.\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 202133302201 (base 4) in base 16?\nAnswer: 89fca1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 193 in -0.2, 292, 2?\nAnswer: 292","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22.4 + -21. Let d = r - 1.2. Let y(t) = t**3 - 4*t**2 - t + 1. Let q be y(4). Which is the nearest to d? (a) -5 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/897 and 10\/21.\nAnswer: 6279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37525*i**3*q + 179664*i**3 - 329*i*q + 112*i - 2*q wrt q?\nAnswer: -37525*i**3 - 329*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 9*l. Let v(b) = -6*b**2 + 46*b - 1. Let u(x) = -2*v(x) + 11*z(x). Determine u(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -97340, -194632, -291878, -389078, -486232?\n\"Answer: 23*r**2 - 97361*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 10:34 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31775 (base 10) in base 6?\nAnswer: 403035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34982 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.8 - 2.2. Let a = s - -15. Sort -1, 5, a in descending order.\nAnswer: a, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88\/11*((-10)\/(-4))\/((-112)\/(-8))\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 5023868?\nAnswer: 5023863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 12:46 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 281?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2064 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 8) to base 16\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 r when three letters picked without replacement from {r: 12, t: 6}?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (6 + 2)) + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 9*z**5\/20 - z**4\/6 + z**2\/2 - 9*z. Let n be d(1). Solve 2*c + 0*c = n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(156) - (sqrt(156) - (sqrt(156) - (sqrt(156)*1 - sqrt(156)) - sqrt(156)))) + sqrt(156))\/sqrt(6))\/((4*sqrt(20))\/sqrt(10)).\nAnswer: -3 + sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50.9 - -50.899977068. Round f to seven decimal places.\nAnswer: -0.0000229","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -192*a**3 - 65*a**2\/2 - 517. What is the second derivative of h(u) wrt u?\nAnswer: -1152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2723 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7*r - 16 = 0, 12 = 4*w + r. Suppose -w*k - 5*q = -0*k + 32, 4*k - 5*q = -4. Let f be -3*((-16)\/k - 2). Which is bigger: f or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/5, 50, 136, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21304 is divided by 746?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 26896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -5*h - 8, 8*l - 240 = -h - 258 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8*g**2 - 26*g + 1. Let k = 39 + -41. Calculate the least common multiple of i(k) and 11.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gaaaaggggagg.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3476449516?\nAnswer: 2, 869112379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, n: 4, x: 4}. Give prob of picking 1 x and 2 r.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n = -25*n - 60. Suppose 8*k - n*k + 404 = 0. Does 35 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 28*b + 5 - 2.\nAnswer: 28*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u + 18. Let j be n(-4). What is the third biggest value in -2.2, -0.5, -4\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -2)\/(-2 - 6). Let z(f) = f**3 - 8*f**2 + 6*f + 8. Let u be z(7). Is u != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 9:40 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/28 - 5\/28. Let y = 0 - 0.5. Let q be 26\/(-28) + (-1)\/(-2). What is the smallest value in y, q, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 3*w**2 - 67*w - 203. Let p be t(-3). Let g be 0 - (0 - 10\/6). Which is the biggest value? (a) g (b) -3 (c) -0.1 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 + 55. Let c(y) = -y + 1. Let s(z) = -9*z + 3. Let j(q) = 3*c(q) - s(q). Give j(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10.59447006 from 0.03.\nAnswer: -10.56447006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/2)*y*y*y\/y**9*y)\/((y\/(y*(y*y**(1\/4))\/y*y))\/(y\/y**(-2\/19))))**(-8\/7) assuming y is positive.\nAnswer: y**(174\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-603)\/(-45) - (-4)\/(-10). Let k be w\/((-10)\/(-6) - 2). Let y = 60 - k. What is the greatest common factor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 8:59 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 466d82 (base 16) to base 5\nAnswer: 2140144204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 86479*j**2 - 8*j**3 - 2*j - 86574*j**2 - 3418 + 6*j**3 wrt j?\nAnswer: -6*j**2 - 190*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5038 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 2:46 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*i + 77975 = 71925 for i.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664*q = -937*q - 18696 - 11723 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/3)\/(-2)*2. Suppose -b - 4*b + 3*b - f*b**2 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 4. Suppose -5*p + 3*d + 18 = -16, 4*p - w*d = 29. Let v(x) = -x**2 + 6*x + 4. What is the units digit of v(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/132 + 17\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 14. Let v(r) = -r**2 - 6*r - 3. Let c be v(j). Find the third derivative of 84*g**6 + c*g**2 + 2*g - 2*g - 89*g**6 wrt g.\nAnswer: -600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -7336\nAnswer: 36680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -433.03 + 433. Suppose 3*p - 2*p - 1 = 0. Which is smaller: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -413614 and -0.048.\nAnswer: 19853.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:28 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 1706 - 1646. Let m(f) = -7*f + 8. Let x be m(-6). What is the highest common factor of n and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34659321211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*m - 4*m = 0. Let p be (m + -3)*4\/(-3). Suppose -c - 2*k + p*k + 93 = 0, 4*k = -12. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 42. Suppose 0 = -k*n + 10, 4*n - 47 = f - 4*f. Calculate the greatest common divisor of f and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-8)*-12*(-5)\/45.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 151 - 148. What is the remainder when 21\/63 + c\/(9\/38) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -33. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -176541, -176461, -176381, -176301, -176221, -176141?\n\"Answer: 80*d - 176621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -3 + (-3 - 11) + -11.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30294825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/((-36)\/(-468)*13)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -35, -0.241, -1\/14, -1?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8924 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, r: 1, a: 1, z: 6}. What is prob of sequence af?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*k**4 + 3*k**3 - k**3 + 12*k**4 + 3 - 112*k + 33*k**2 - k**3 - 35*k**2 to b*k + x*k**4 + y + z*k**2 + l*k**3 and give b.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 601 + -565. Suppose -33*m = -21*m - v. Solve m*f - 19 = -2*f - 3*j, -4*f + 2*j + 24 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6127346.\nAnswer: 2, 3063673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 625185 and 21050?\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(15))\/(-5*sqrt(20)).\nAnswer: -6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a = 2*s - 20, 5*s - 50 = -5*a. Let i be (6\/5 + 0)\/((-4)\/s). What are the prime factors of i*(2196\/(-81))\/((-2)\/(-3))?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -100110111?\nAnswer: -100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (25 - 9) + -13 - (-3 - -10) - -43.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -9. Suppose 383 = f + 3*n + 68, 0 = n + j. What is f rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllp when four letters picked without replacement from {p: 6, l: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-16)\/(-6) - 16\/(-12). What is the hundreds digit of 1005\/20*(6 - k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.3 - -9.299999594. What is t rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -578598, -578846, -579094?\nAnswer: -579342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2716.6 - 2716.4. Which is the nearest to 93? (a) y (b) 2\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/18)\/(2\/(60\/(-35)))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 148233404 to the power of 1\/2, to the nearest integer?\nAnswer: 12175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l + 117 - 3*l - 4*l + (4*l + 3*l - 5*l)*(1 + 2 - 2).\nAnswer: l + 117","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006725 is divided by 143813.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -997 from -0.2.\nAnswer: 996.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -497 divided by 129?\nAnswer: -497\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24783630031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9417 and -1.54801.\nAnswer: 14577.61017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 4:36 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by 7.\nAnswer: 62\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by (0\/5 + (-12)\/(-15))*45.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 137, 58, -91, -334, -695, -1198?\nAnswer: -1867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*m - 1441 + 4696 = 0 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 1 = 5*i. Let g(p) = 463*p**3 - 6*p**2 - 6*p - 5. Let y be g(i). What is y rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*m**3 - 95965*m**2 + 416306 with respect to m.\nAnswer: -24*m**2 - 191930*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4277 - -4277. Solve i = 3*c - 3, -k - c + 4 = -0*c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 69110673 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -257482577, -257482576, -257482575?\n\"Answer: o - 257482578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**6\/360 + 7*m**5\/120 - 13*m**3\/3 - 21. Let b(t) be the third derivative of w(t). Determine d so that b(d) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**5 - 19161978*j**4 + 40797946204920*j**3 - 28954465613365445088*j**2 + 57908768035099366272*j.\nAnswer: 3*j*(j - 2129108)**3*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 h when three letters picked without replacement from mmmh.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 5) to base 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.75, -5\/4, 3.8, 5?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001742573 rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*t - 313*t = 503 + 193 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -819*b + 474*b - 12765 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1897 + -1178. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5, 34, 65, 98, 133, 170, 209?\n\"Answer: l**2 + 26*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + t**2 - 4*t**2)*(9*t - 15*t - 16*t)*(t - 5*t + 2*t)*(-3 + 1 + 3).\nAnswer: -44*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 24*q - 17. Let r be m(-23). Suppose 13*s - r*s - 161 = 0. What is the remainder when 91 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a779 (base 16) in base 15?\nAnswer: 221c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*v + 372*v - 168*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m - 6. Let c be d(-4). Suppose -c*p + 6 = -p - 2*a, -8 = 4*a. List the prime factors of 60\/p*(-1)\/(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2342*x + 21. Let w be p(1). Let z = 3300 + w. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -58*f + 3. Let o(z) = -117*z + 7. Let c(a) = 2*o(a) - 5*v(a). Let d(j) = -6*j - 38. Let p be d(-7). Is c(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(80))\/(sqrt(80)\/sqrt(72)) - (0 + 5 + (1 + sqrt(8)\/sqrt(4))**2).\nAnswer: -38*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 127337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**3 - 9\/8*l**4 + 0*l - 19*l**2 + 0. Is u(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76847 divided by -69.\nAnswer: -76847\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*h - 8 + 103 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 5*t - 21*t - 1 + 2 in the form i*t + z and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11117 + -11095. Calculate the remainder when 726 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15531435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 77 - -959?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**2*h))\/(h**(-7\/6)\/h)*h**(4\/7)\/((h*h**(-6)*h)\/h))**(2\/63) assuming h is positive.\nAnswer: h**(241\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 99 = -3*n. What is the remainder when 75\/2*(-8)\/(-10) is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o + 7. Let z(m) = m + 3. Let s(j) = 3*p(j) - 5*z(j). Let t be s(2). Solve -t*r + 6*r = -4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = -30 - 0. What is the tens digit of (2 + v - -75)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-12 - -10 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + n**2 - 2*n**2)*(-2 + 8 - 2)*(-2 + 1 - 1).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0671 + -0.9329. What is the nearest to x in 2, -1\/9, -14?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/1372*28*(-8)\/4)\/((-30)\/189). Suppose -a - 12\/5*p**2 + 33\/5*p - 3\/5*p**3 = 0. Calculate p.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m**2 + 7*m**2 + 5*m**2 + 5*m**2 - 2*m**2 - 1 + 2 + (m + 1 - 1)*(-m + 17*m - 4*m) to b*m + t*m**2 + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 382932 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10583063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/7 - 216*a\/7 + 3146\/7.\nAnswer: -2*(a - 13)*(a + 121)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**6\/120 + h**4\/24 - 4*h**3\/3 + 3*h**2\/2 + 23. Let a(w) be the third derivative of l(w). What is a(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 + 5*r**3 - 1710*r**2 + 1722*r**2 + r**3 - 4*r**3 - 2*r as u*r**3 + w + v*r**2 + c*r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 + 103. Suppose -23*o + 81 = -y*o. Find the first derivative of 17*b - 20*b + o + 30*b wrt b.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 - 11*k - 5. Let v(g) = g**2 - g + 1. Let m(h) = l(h) - 4*v(h). Let r be m(-5). What is the highest common divisor of 8 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49017436 and 14748?\nAnswer: 4916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)\/x)**(-3\/5))**(22\/9) assuming x is positive.\nAnswer: x**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-11) + (-15)\/(-220))*4\/(-6)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -78082, -156140, -234198, -312256, -390314?\n\"Answer: -78058*q - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 522 + -242?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 809046 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 90?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 - 359 - 4*f**2 + 150 as r*f**2 + m*f + g and give g.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-180)\/(-2025)*45\/10. Suppose 0 = 4*v + 2 - 10. Which is the closest to n? (a) -2\/17 (b) v (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0*(-4)\/16)\/(-186 + 184). Sort -3\/2, 5, -0.4, 0.22, h.\nAnswer: -3\/2, -0.4, h, 0.22, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9848 - -9926. Calculate the greatest common divisor of j and 390.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 21*u = 1944. What is the highest common factor of u and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(1\/17)\/c)\/c)\/c)**(3\/8) assuming c is positive.\nAnswer: c**(-75\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.497737 hours to days.\nAnswer: 0.479072375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u - 8*u - 4*u + (-5 + 4 - 1)*(3*u + 0*u - 2*u))*(0*u + 0*u - 4*u) as k*u**2 + r + c*u and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 23, -740 in decreasing order.\nAnswer: 23, 17, -740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Let s(r) = 3*r - 3*r - r**j + 0*r. Let y(w) = 2*w. Give y(s(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -11*k + 7*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 150*d**2 + 2*d + 2. Let f(j) = 3*j + 2. What is c(f(q))?\nAnswer: 1350*q**2 + 1806*q + 606","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 241? (a) -5 (b) 2\/9 (c) 1558 (d) -0.5 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2080 - -561. Let o = 1444.3 + t. Let k = 74.6999627 + o. Round k to 6 decimal places.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.121224 - -87409.\nAnswer: 87408.878776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 6\/7*v**5 + 4\/7*v - 6\/7*v**2 + 0 - 6\/7*v**3.\nAnswer: -2*v*(v - 1)**3*(3*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 - -94. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -v - 0*p + 5*p, -5*p - 18 = -2*v. Suppose -10131804 = -v*u + 308196. What is u rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0) + -15 - (38 + -17 - -3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((6\/(-2))\/(-3)))\/((-8631)\/(-97818))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 153. Let b = 76.9 - o. Let a = -6 + 4. Put 1, a, b in decreasing order.\nAnswer: 1, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.51 - 191.99. Let h = c + 199. What is the fourth biggest value in h, -2, 0.4, 2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 235.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50\/7 - -464\/63. What is the closest to 0.2 in -2\/13, 2\/21, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60910998?\nAnswer: 2, 3, 19, 534307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 228, 311, 476, 741, 1124, 1643, 2316?\nAnswer: 3161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5423227, -10846453, -16269679, -21692905?\nAnswer: -27116131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**5 - 10656*z**4 + 224618*z**3 - 213960*z**2 = 0.\nAnswer: -5349, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -0.2 (c) 3 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25381407?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**3 - 144*l**2 - 28*l - 28. Let n be p(29). Let r(z) = -z + 1. Let h(u) = 6*u - 3. Determine n*h(j) + 5*r(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -2. Suppose b - 3 = -2*w + 5*w, 0 = 4*w. Suppose 6*y - 11 = 3*y + 4*p, b*y - 10 = 5*p. Calculate the greatest common divisor of y and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-238)\/(-102))\/(1\/(-36)*-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.066 in 0, -1, -2\/39, 2\/27?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**7\/1260 + h**4\/6 - h. Let x(b) be the third derivative of t(b). Let u(m) = -2*m. Calculate x(u(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3637009 and 9?\nAnswer: 32733081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341 (base 7) in base 3?\nAnswer: 201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 + -53 - (8 - (6 + (-5 - -7)))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 761 a factor of 206544532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -8*o - 2. Let v(w) = -19*w - 4. Let s(g) = -7*n(g) + 3*v(g). Let i(k) = -20. Let l(m) = -i(m) - 5*s(m). Calculate l(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 894 (b) 3\/580 (c) -44 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/4368 and -13\/116268.\nAnswer: 42321552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3042, -6553, -10548, -15027?\nAnswer: -19990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(2\/3))*n**(-6))**(1\/2) assuming n is positive.\nAnswer: n**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.7 - 23.9?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y - 4. Let w be ((-24)\/16)\/(12\/16). Let s be (1 - (-6 - w)) + -3. Calculate v(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411123345?\nAnswer: 3, 5, 97, 282559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - c + 97 - 116, -3*c = -4*y + 24. Solve 2*a = 2*x + 8, 3*a + y*x = 2*x - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327 - 179 = -26*c - 168 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.04 and -531211.\nAnswer: -531211.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31725?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -20*g - 32. Let n(i) = 7*i + 11. Let s(f) = -6*k(f) - 17*n(f). List the prime factors of s(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-two fifths of a micrometer?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -4\/25 (c) -5 (d) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08149 - -0.17742. Let p = 1.997 + -1.9. Let v = b - p. Round v to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.36115\nAnswer: 0.036115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92231968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 5. Let n(x) = -x**2 - 5*x - 2. Let t be n(h). Find the second derivative of -t*v**4 - 4*v**5 + 2*v**5 + 4*v**4 + 3*v wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12 - -16) + (-38)\/(-2) + 2. Let c be 6\/(-2) - -2 - -1. Solve 5*n = -c*n + z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -12*r**2 + 2132*r - 1167. Calculate x(178).\nAnswer: -1879","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 220.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 565 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -7. Let i(n) be the first derivative of 1\/3*n**3 + s*n - 1 - 1\/2*n**2. Find the second derivative of i(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 3 + -154)*1. Let g = l + 258. Does 36 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732661 is divided by 348.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1560)\/(-280) + 2*10\/(-4). Sort 3\/5, u, -5, -0.4, -1 in decreasing order.\nAnswer: 3\/5, u, -0.4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + 1*sqrt(1425) + sqrt(1425) + sqrt(1425))\/sqrt(3).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.73594 + -16.\nAnswer: -28.73594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2\/7 (c) -5 (d) -3 (e) -0.4 (f) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(2736) + (-2 + sqrt(2736) + -2 - sqrt(2736) - sqrt(2736)))**2 - -5*-5*(-2*sqrt(133)*-3)\/sqrt(7).\nAnswer: -150*sqrt(19) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 85, 11, -63, -131, -187?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/101?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 21988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8484 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-3 + 1 + 1)*(-5*c + 15*c + 2*c).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/2*164\/410\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -6*c. Suppose 3*w + 24 = -0*o + 5*o, w + o = c. Let h be (1\/w)\/((-5)\/45). Solve -9 - h = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i + 75 = -5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 i when four letters picked without replacement from mmmiimmm?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3007053 is divided by 184?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a + 42. Calculate c(13).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a7 (base 12) in base 11?\nAnswer: a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r = -26*r - 63. Let i(p) = -p**2 + 50. Let x be i(r). Let n(z) = -1. Let o be (-16)\/9 - (-6)\/(-27). Let f(q) = -2*q - 3. Give o*n(d) + x*f(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6*w + 3*i + 5, -2*w = -4*i + 10. Let v(t) = 2*t - 7. What is v(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 6*u**2 + 9*u - 5. Let n be -1 + (-2 + 11 - 1). Is 5 a factor of f(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 5*d - 3, -4*m + 1 = d + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2100977*g**3 + 16277270 wrt g?\nAnswer: -6302931*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -11*y + 22. Give d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + n - 3*n = 32, -2*l = 2*n - 16. What is the remainder when l is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 - -48. Let n = 13 + q. Let w = 14 + n. What is the remainder when 13 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*q*v**2*y**3 + 7*q*v**2*y**2 + 66*q*v**2 - 2*q*v*y + 3*y wrt y?\nAnswer: 72*q*v**2*y + 14*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4*r + 20 = 0, -3*z - r = -5*z - 1. What is the biggest value in -4\/9, z, -1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*d**3*s**2 + 17*d**3*s + 44*d*s**2 + 3*d - s**2 wrt d.\nAnswer: 516*d*s**2 + 102*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000530912233 to seven decimal places.\nAnswer: 0.0000531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 6 + 10 - 16 - 91*y in the form z + r*y and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 18984 = 111*o. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2080 divided by 16?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j**2 + 5*j**2 + 9*j**2 + j**2 - 7 with respect to j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2940191 to 3 decimal places.\nAnswer: -0.294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7535538.\nAnswer: 2, 3, 139547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1747, 3478, 5175, 6820, 8395, 9882, 11263, 12520?\n\"Answer: -3*l**3 + l**2 + 1749*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 342*b - 839. Give u(3).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 112, -0.2, 5\/4, -237?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 5*u = 3*u + 6, -11 = a + 3*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -263 + -1?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.478 - 73.\nAnswer: -73.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90984751.\nAnswer: 11, 13, 636257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -346*x + 351*x - 170 = 0. Solve 38*m - x*m - 12 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from {x: 4, p: 2, r: 1, k: 1, u: 10}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.749556 millennia?\nAnswer: 6749.556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3045638132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*w - 4. Suppose -5*k + 3*r - 23 = 29, -w*k - 41 = -3*r. What are the prime factors of 9 + -7 - k\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 47402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) -4 (c) 1.7 (d) -2 (e) 1 (f) -4.72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-11 + 15)*(-2)\/60. What is the smallest value in i, -0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -77, -58, 3, 2, 0, -3 in decreasing order.\nAnswer: 3, 2, 0, -3, -58, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3778.667406 rounded to the nearest ten?\nAnswer: -3780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from {p: 2, g: 5, y: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161026 is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -155, -445, -901, -1523, -2311, -3265?\n\"Answer: -83*m**2 - 41*m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5628 - 14427 = 226*n - 799*n for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14593 - -14724. What is the second smallest value in g, 7, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*t + 8*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25974 or 26083?\nAnswer: 25974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**9)\/y*y)\/y)\/y*y\/((y*y*(y\/((y*(y\/((y*y*y**1)\/y))\/y)\/y))\/y)\/y))\/(y**(-1\/6))**(-2\/13) assuming y is positive.\nAnswer: y**(-469\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2323*i = 1366*i + 3226*i + 27660 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 + 8*l**2 + 8*l**2 - 24*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 74\/14 - 10\/35. Suppose -u*v - 255 = -j, -5*v - 166 = -2*j + 89. Let b = v + 51. Solve 5*t - 4*h - 21 = 0, b*t + h = 2*t - 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4\/3 + 16*t**2 + 128*t\/3 + 32 = 0. What is t?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -14. What is the closest to 2\/3 in q, -0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 - 1 - 3*j + 2*j - 2*j**2 + (2*j**2 - 6 + 6)*(0 + 1 - 3) + 0*j**2 - 10*j**2 - 2*j**2.\nAnswer: -20*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 4:34 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*u**2 - 17*u**2 + 5*u**2 - 2*u + u**4 - u**3 as x*u**2 + y + c*u**4 + n*u + d*u**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 257.5 - 283. Let d = 20.5 + v. What is the biggest value in -1\/2, 0, -0.02, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 12:51 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -173542 * -0.001.\nAnswer: 173.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348031 plus 13.893?\nAnswer: 1348044.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.16 (b) -127 (c) -0.5 (d) -33 (e) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 17280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 7. Let w be f(7). Sort 5, w, 2 in ascending order.\nAnswer: w, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-3 - -7)) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19749, -19891, -20029, -20163?\n\"Answer: 2*u**2 - 148*u - 19603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1637 + -1634. Solve 0 = 5*l + 2*r + 10, -x*l + 6 = -6*l - r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*v - 2. Let n(y) = y + 1. Let p(x) = -7 + x + 27*x**2 + 6*x - 26*x**2. Let f be p(-8). Let j(t) = -t**2 + 2*t + 2. Give f*j(w) + v*n(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-684)\/95)\/12)\/((-7)\/((-70)\/(-204))).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1561254, -3122494, -4683732, -6244968?\n\"Answer: u**2 - 1561243*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19197, 76307, 171491, 304749, 476081?\n\"Answer: 19037*t**2 - t + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x - 5*x + 2*x. Let h(i) = 0 + 0 - i + 0. Determine h(g(f)).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvj when three letters picked without replacement from {j: 2, v: 1, h: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6677*t - u - 55 = -6679*t, 0 = -2*t + 3*u + 149 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 27 = 15*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 10*c**2 + 2. Let j = 19 - 41. Let q = 12 + j. Let z be u(q). Solve -2*o = -o - z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 149 = 137 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 4*i + 3. Let v(x) = x**2 - 5*x + 4. Let b = -15 + 11. Suppose -4*a = -3*o + 5 + 6, -5*a - 20 = -5*o. Calculate b*v(y) + o*g(y).\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 59, 0.14, -38, -1\/3, 5\/3, -5\/4?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.5 and -40481.\nAnswer: 425050.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-146 - -86) + 3 + 38?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 1:48 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*k**2 - 251*k**2 + 679*k**2 - 217*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 32 = 5*m. Calculate the highest common factor of m and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18591 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 228228.\nAnswer: 912912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Let t(p) = -p**2 + 12*p. Let h(j) = 6*l(j) - t(j). Let s(i) = -13*i + 18*i + 30*i. Calculate h(s(b)).\nAnswer: 1225*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43340369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 25*i**4 - 12*i**2 + 64*i**4 + 4*i**5 - 27*i**4 - 8*i.\nAnswer: 4*i*(i - 1)*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -544, -2168, -4872, -8656?\nAnswer: -13520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 3, -0.5, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -28824847.\nAnswer: 28824846.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25932563.\nAnswer: 25932563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1344 and 1792?\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - -181345?\nAnswer: 18135b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 486527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1067120 * -3.\nAnswer: 3201360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.24 - 0.5. What is w rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -1 - 4*5\/(-180). Which is smaller: i or 9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 1 + 3 + 1 - 3 + (0 + 0 + 3)*(4 - 1 - 4))*(-56 - 14*i + 56).\nAnswer: 84*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4781700 a multiple of 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*w + 14, -3*w = -3*p + 2*w - 31. Let k be -6*3\/(-12)*p. Let q be -1 + k*(0 + -2). Solve d - 3*d - 4*l + 20 = 0, -3*d + q*l - 25 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*s - 64, -3*i - 19 = -2*s - 0*s. Suppose -3*r - s = -2. Is -3 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139.137891036 take away 44?\nAnswer: -183.137891036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2 (c) 96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**2 + 3*i**2 - i**2 + (i**2 + 2 - 2)*(0 + 4 - 6) - 2*i**2 - 2*i + 2*i - i + i + 2*i**2 + (-i**2 + 4*i**2 - i**2)*(-5 - 2 + 3).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*d = 16, -4*d + 4 = 4*g - 0*d. Let p be ((-4)\/(-3))\/(g\/(-12)). Let k(n) = -n**2 - 5*n - 3. Let z be k(-3). Solve z*v - 8 - p = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 345.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750919431 a multiple of 11900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33, -158, -365, -654?\n\"Answer: -41*w**2 - 2*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/(((-2)\/6)\/1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z - 168 = -44*z. Calculate the remainder when z is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and 1.7?\nAnswer: 30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 40 = 4*t - 9*t, -32 = -5*t - 3*l. Let j = t - -4. Solve 28 = 4*y + j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23972 - -62393. Does 82 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 - -8.5. Let a = p - 5. Let y be 5\/25*(2 + 16\/12). What is the biggest value in -3, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:33 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*f + 18. Suppose 20 = 4*o, r - 3*r - 2*o = -f. List the prime factors of 3 + (0 - r)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 47, 72?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -5, -7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from {j: 2, n: 1, q: 1, d: 1, c: 1, w: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52321514 is divided by 447.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*d - 2*d**4 + 2*d**3 - 4*d + 37*d**2 - 37*d**2 as j*d**3 + l*d**4 + c*d**2 + f*d + q and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-17)\/y*y**(9\/4)\/y)**(-7\/6) assuming y is positive.\nAnswer: y**(469\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6577761009.\nAnswer: 3, 31, 2887, 24499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 8:49 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 753917.3 hours to minutes.\nAnswer: 45235038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -2787.\nAnswer: 557.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1571 + -1557. Do i and 208\/15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 * 0.57766.\nAnswer: -23.68406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15088720?\nAnswer: 2, 5, 188609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2863278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5 = m, 2*m + 0*m - j = 5. Suppose m = v + 2*v - 9. Let a(y) = -4*y**2 - 4*y**3 - 5*y**3 + 8*y**v + 4*y. What is a(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**4\/7 - 8*p**3\/7 - 24*p**2\/7 - 32*p\/7 + 29. Factor m(n).\nAnswer: -4*(n + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.053 and 290.9.\nAnswer: 290.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*a = -148*a - 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -60119 divided by -299\nAnswer: 60119\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 23*b - 93. Calculate o(15).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186794591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-2) - (18 - 1128\/24 - -18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13403*0.08.\nAnswer: -1072.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25793\/2 - -333337\/26. Let z = t + 76. What is the biggest value in 0.1, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyy when three letters picked without replacement from {n: 1, y: 2, r: 1, i: 2, g: 1, p: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18882\/(-363) + (1109 - 1057)\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {i: 4, g: 8, u: 4, b: 3}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 12:58 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -84, -185, -300, -429?\n\"Answer: -7*r**2 - 80*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*d**3 - 5)*(-9*d + d - 4*d) + d**4 - 4*d**3 + 4*d**3 + 2 + 2*d**4 - 2.\nAnswer: 27*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-3*(5 - 6). Suppose -22 = l*n - 259. List the prime factors of n.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 7*j - 6. Let f = 12 + -6. Let x be v(f). Calculate the greatest common divisor of x and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -15, -6 in descending order.\nAnswer: -4, -5, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 - 0 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 271079558 to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k*(k*k**(1\/9))\/k)*k*k**(-8)*(k*k*k**(-1\/2)\/k)**(3\/14) assuming k is positive.\nAnswer: k**(-1513\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + -24 + 19 + 12 + 2.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*f + 1, 2*f + 4 = 2*j - 22. Let i be 6\/(j - 5)*5. Solve d + 24 = -i*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6073, 12168, 18293, 24448, 30633, 36848?\n\"Answer: 15*p**2 + 6050*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = f + 4*f - 3, -3*k + 15 = f. Suppose 0 = -0*l + f*l. Which is the smallest value? (a) l (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -562*g**4 - 13*g**3 + 13*g + 17. Let p(s) = 281*s**4 + 6*s**3 - 6*s - 9. Let q(x) = -6*o(x) - 13*p(x). What is the first derivative of q(v) wrt v?\nAnswer: -1124*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/50 and -43\/10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 274379 and 44954.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 75*(9 + 9) - 0. What is the greatest common factor of p and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13997?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 g, and 1 s when three letters picked without replacement from tfhfhtgfhnfgftfhhsn.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6216.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/10)\/(2\/16). Suppose -3*w + l*w = 3. Let t = w + 10. What is the remainder when 36 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 9:43 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 3*i - 8, 213*i - 20 = 208*i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 416 and 10.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -17*x + 10. Let f(v) = -8*v + 5. Let d(z) = -9*f(z) + 4*n(z). Differentiate d(s) wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 466.55326383 - -10.44676707. Let r = t + -477. What is r rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 9:38 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + q - 26, -2*q = 3*g - 0 - 31. Let n(p) = -4*p**3 - 4*p**2 + 10*p - 3. Let v be n(g). Let r = v + 3332. Is r 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 1557301727?\nAnswer: 36583, 42569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-26)\/(-4) - 4)*2. Let h be -1*s*(-54)\/(-45). Let x = -11 - h. Let a(g) = -g**2 - 5*g - 2. Calculate a(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-13)*w**(-12)*(w*w\/w**(-3))**(-40) assuming w is positive.\nAnswer: w**(-225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 158508045 - 5?\nAnswer: 158508040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9693 - 4808 - 4893 - 2*u.\nAnswer: -2*u - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*m**5 - 85*m**4 - 20*m**3.\nAnswer: -5*m**3*(m + 4)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3 - 0, -2*v + 32 = -4*r. Let f be -2 - ((-2)\/(-1) + 0). Calculate the least common multiple of f\/(-16) - 31\/(-4) and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 985.58 + -977. Let d = 8.6 - j. Let g = -0.08 - d. What is the closest to g in 3\/8, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426 = -4*t - 3*v, -45*t = -47*t - 4*v + 198. Calculate the remainder when 192 is divided by t.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**2 + 2*v + 1. Let u(m) = -9*m**2 + 4*m + 1. Let z(t) = -7*l(t) + 3*u(t). Suppose 2*r - 4 = 2. Determine z(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7242, 14485, 21726, 28965, 36202, 43437?\nAnswer: 50670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 65737 and 296.3.\nAnswer: 19477873.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -863 and 19057?\nAnswer: 19920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 < 4194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201203 - 11?\nAnswer: -201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 335 - 321. Let z = 252 - f. What is the highest common divisor of z and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38654 divided by -77.\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 57960 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -2 + 306\/(-119).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**5 + 2138*f**3 + 3*f**2 + 935*f wrt f?\nAnswer: -60*f**2 + 12828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2473649 and 13031.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3*v - 34, 0*g - 3*g = -4*v - 82. Let q be (-8)\/(-44) - (-2350)\/g - 3. Calculate the greatest common factor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*1\/(-12)*-4. Put -1, t, -2 in decreasing order.\nAnswer: t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*t - 5*h, -4*t - t = h - 38. Suppose 4*k = -u + 21, 4*u + 23 = 4*k + t. Let w = -163.3 + 163. What is the smallest value in u, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2. Suppose -5312 = 32*c - 40*c. Let a(d) = -641*d**2 + 1180*d**2 - c*d**2. Give u(a(s)).\nAnswer: -31250*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)\/(k\/k**2))\/(k*k**(-3\/8)*k*k*(k\/(k*k**(2\/9)))\/k)*((((k*k*k*k\/k**(-1\/4))\/k)\/k)**(-20))**(10\/3) assuming k is positive.\nAnswer: k**(-11261\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 27*r**2 - 15*r**2 - 9*r**2 - 41*r**3 - 2. Let b be l(-1). Suppose 180 + b = 3*m. List the prime factors of m.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i**(-41))\/i))\/(i\/((i*i**(6\/7))\/i)))\/((i*i*i\/(i**25*i*i))\/(i*i**(-4\/7))) assuming i is positive.\nAnswer: i**(464\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 19.4. Let a = -86.55 + 86.9481. Let p = a - z. What is p rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112 - 65. Suppose -5*i - 5 = 0, -m + 4*i - i = -v. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.77857 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/((j\/j**0)\/j*j))\/j)**38\/((j*j**(2\/3)*j)\/j**(-9)))\/((j\/(j**(1\/3)\/j))**(-11\/6)*(j*j**(-2)\/j)**(1\/25)) assuming j is positive.\nAnswer: j**(-20939\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 457 + -456.7. What is the closest to -1\/2 in 0.5, -3\/8, l, -64?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - u)*(-u + 2*u - 3*u)*(-296 + 221 + 197) + 5*u**2 - 5*u**2 - 6*u**2 as m*u + f + n*u**2 and give n.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-1275)\/(-16830))\/(5\/12)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/12*(-45)\/(-20). Suppose -19 = -5*k + t, d*t - t = 2*k - 14. Let -2*q**4 + 0 + 2*q**2 - 4\/5*q + 4\/5*q**k = 0. Calculate q.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -37 and -355364.\nAnswer: -355401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbo when three letters picked without replacement from zbozb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 3 + 4 + 3*g**5 + (g**2 + 0*g**2 - 2*g**2)*(3*g**3 - g**3 - g**3).\nAnswer: 2*g**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 5201*h - 5198*h - 73, 98*t - 4*h - 2822 = 0 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 + -0.056. Let b = -0.0339787 + y. What is b rounded to six decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsiikspcc. What is prob of picking 1 i and 1 p?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 0*t + 2*t - 85, 0 = 5*g + 3*t - 140. Let r(f) = f**2 + 2*f + 3. Let x be r(-3). Solve 0 = -x*k + k + g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27503490673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**11\/(f\/f**(-1\/10)*f) assuming f is positive.\nAnswer: f**(89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 31 (b) -2 (c) 34878\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 6*p**2 + 7*p + 3. Let i be s(-7). Suppose i*b - 5 = g + 3*g, -b = -5*g + 2. What are the prime factors of 2\/b - 111\/(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*h - 55*h + 24 = -104*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327 = 35*g + 187 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, o: 3}. Give prob of sequence ou.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 521 divide 158346430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1292 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 771*x**3 + 2*x**2 - 5*x + 1. Is a(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-114)\/(-152))\/(3\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 8*m - 4. What is a(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -32.56.\nAnswer: -65.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*m - 0*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7045 and 109505.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.42 + 2.58. Sort w, 94, -2\/9, 2 in ascending order.\nAnswer: -2\/9, 2, w, 94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 32605159640.\nAnswer: 32605159639.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -107b8 (base 14) in base 11?\nAnswer: -28019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s - 11*s + 14*s**2 + 2*s.\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.9 and -0.5.\nAnswer: -4.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1370 - 1409) + (-1 - -52).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-8))\/((f\/f**(-11\/3))\/f))\/((f*f*f\/(f*f**(-1\/30))*f)\/(f*f**(-5\/11))) assuming f is positive.\nAnswer: f**(-1337\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1243 (base 8) in base 15?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*1*5 + -3 + -3*(0 + sqrt(19)))*-4.\nAnswer: -208*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2138*r + 4149*r + 0 + 6 - 2126*r as i*r + m and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 + k**2 - 3*k + 3. Let g(h) = -h**2 - h + 1. Give -a(c) + 3*g(c).\nAnswer: 2*c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(452\/(-148) - -3) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*i - 418 - 3503 = -141. What is the highest common factor of i and 672?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2006865 + 18086360. Let h = g - 29693225. What is h rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496459947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + u. Suppose -1 = 11*s - 12. Give k(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**7*(s*s\/(s\/(s**(1\/2)*s)))\/s*s**2*s**(-1\/13) assuming s is positive.\nAnswer: s**(271\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4211027 or 4211024?\nAnswer: 4211027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*f - 153. Let o = f - 17. Let r = o - -11. What is the highest common factor of r and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -0.2, 2712420 in ascending order.\nAnswer: -14, -0.2, 2712420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 522.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y - 9. Suppose -3*h + 45 = -3*k, -3*h + 35 = -4*k + 2*k. Let m be c(k). Suppose m - 217 = -4*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 3*o - 5, 0*f = -2*f + 5*o - 29 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 44 = -64. Suppose v*z = 21*z. Suppose -f - g = -z*f + 196, 2*g + 980 = -5*f. Round f to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 105 = 25*f. Solve -j - f*j - 2*z = -16, -5*j + 17 = z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 9:19 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - 53 - 13 = -4*i, -4*i = 4*n + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 4*z**2 - 13*z - 3. Let w be v(-6). Suppose -4*d + d = -9, m = -w*d + 11. Suppose -m*t = -0 - 10. Let h(l) = l**2 - 8*l + 3. Give h(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1761549?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 3*m - 2. Let x be t(-4). Let c = 31 - x. Let z = 130 - c. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(612))*6*1)**2 - (6*sqrt(425) + sqrt(17)*1*5).\nAnswer: 829*sqrt(17) + 22176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 315*(-208)\/72072*(-110)\/(-2).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 913036?\nAnswer: -913031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a microsecond in nanoseconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**6\/120 + c**5\/20 - c**4\/24 - c**3\/3 + 8*c**2. Let f(g) = -3*g**2 + 3*g - 2. Let d be f(1). Give x(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 15. Let g be t(-13). Is ((-5)\/(-10))\/(1 + g)*-1222 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184\/40 + -1 + -4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 12) in base 8?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*m + 306 = 205*m. Let s be m\/(-68) - 166\/(-8). Which is bigger: 19 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -1865?\nAnswer: -559.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 274664 and 481.\nAnswer: 10162568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 - -2113a?\nAnswer: 21129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53.977160048 + 3.977159628. Let w = -50 - h. What is w rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52475.\nAnswer: 5, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxzzzznzzzzxnzz. Give prob of picking 2 x and 1 z.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8678*m**3 - 4 - 8955*m**3 + 4 + 17636*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2185 = -18629*b + 18724*b for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/545 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 14\/(-7)) + (1 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxu when three letters picked without replacement from {x: 1, u: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**5 - 84*d**4 + 2032*d**3 - 10032*d**2 - 28880*d = 0.\nAnswer: -2, 0, 10, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 divided by 601?\nAnswer: 252\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -709*c + 663*c + 1058 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 4:48 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 926 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*l**3 - 55*l**3 + 21*l**3 - 2 + 13*l**3 - 10*l**4 as f + k*l**4 + w*l + j*l**3 + t*l**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -5\/12*n**4 + 3*n + 0 + 5\/3*n**3 + 15\/2*n**2. Factor g(y).\nAnswer: -5*(y - 3)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5\/7)\/(v*v*v**(-7\/2)*v)*v\/((v\/((v*v*v\/(v\/(v**(-1\/4)*v))*v)\/v))\/v*v)*v*(v*v*(v*(v*v**(1\/15))\/v)\/v*v)\/v*v)**31 assuming v is positive.\nAnswer: v**(85963\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 + 1 + 6*g**2 + 2*g + g**4 + g**4 - 4*g**2 to the form w + f*g**4 + s*g**3 + v*g**2 + j*g and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 332 = -f + 346, -2*z = -5*f - 350. Suppose 0 = 3*q - 2*d - z, 56 = 3*q - 3*d - 112. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 14*f**3\/3 + 221. Let x(c) = -2*c**2. Determine x(z(a)).\nAnswer: -392*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r - 6. Let g be v(2). Suppose -5*t = -5*o - g, -2*o + 16 = 5*t - 5*o. Solve c + 14 = -t*n - 10, -n + c - 6 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 2*k**2 + 2*k. Let q(m) = m**2 - m. Let c be q(2). What is r(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from ktkkkktttitkttt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -122124 (base 5) to base 2\nAnswer: -1001000111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4800, -4818, -4838, -4860?\nAnswer: -4884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 28*i - 22. Let j(y) = -14*y**2. What is q(j(b))?\nAnswer: -392*b**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-81))\/(1\/(-3)). Let d = 11\/108 + k. Let t be (-25)\/(-30)*15\/(-2) - -6. What is the closest to 2\/3 in d, 0.01, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50246 (base 11) to base 4\nAnswer: -101330121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Calculate the remainder when 14 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76384)\/(-1848)*9\/(-12)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39\/74 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -2.5. Let z be (-2)\/(((-21)\/(-6))\/(-7)). Let l = -0.093 - 0.207. What is the nearest to l in 4\/7, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 - -8.6. Let n = -0.14 + 8.34. Let y = k - n. Which is the second smallest value? (a) y (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*r = -14, -2*r - 10 = -4*k + 8. Suppose -k*u + 4 = -2*u. Suppose a - 33 = 5*n, 0 = -5*a - u*n + 30. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2902154 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 25889.\nAnswer: -6\/25889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16229\/6 + 2721. Suppose 5*i + 26 + 1 = 2*a, 2*a + 4*i = 0. Find the common denominator of p and (a\/45)\/((-4)\/745).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.6939 times -0.104\nAnswer: 1.0081656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 - 47. Suppose w + 5 = 2*h - b, 0 = -5*w - 25. What is the greatest common divisor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19422 by -13.\nAnswer: 1494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-8))\/((-34)\/((-10880)\/48))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 70 = 5*s + 2*i, 5*s + 54 = -i. Let t be (-1)\/4*(-5)\/s. Is t at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 180885396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2448) - (-1 + sqrt(2448) + -1) - sqrt(2448)) + 1 - -2*(-4 + (sqrt(2448) - 1*sqrt(2448)) + sqrt(2448))) + 2)**2.\nAnswer: -72*sqrt(17) + 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 11*d = -56. Suppose -6*s + d = -2*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*f + 59*f = 865 + 35. Let w(n) = -10*n - 5. Let t be w(-5). Let k be 18\/t*74\/4. Which is bigger: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - 2*l - 2. Let k(u) = 2*u**2 - 2*u - 2. Let m(r) = 4*i(r) - 3*k(r). Let a(d) = 4*d + 1 - 5*d + 2*d + 0. Calculate 2*a(w) + m(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1898\/31317)\/((-1)\/3)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 1 - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 + (4 - (3 + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(72) + 0 + -1 + sqrt(72) + 3 - ((-1 + sqrt(72))*-4 + sqrt(72) - (5 + (sqrt(72) + (sqrt(72) + -1 - sqrt(72)))**2))).\nAnswer: 18*sqrt(2) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = -u + 3*u, -2*u - 2*a = 2. Solve 5*q = -u*y + 4 + 8, 3*q - 12 = 3*y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1262516666?\nAnswer: 2, 631258333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 352242*w - 355888 wrt w.\nAnswer: 352242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209 - -342 - ((27 - -19) + -10).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 212 = -5*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 13*l**5\/60 + 7*l**4\/8 - 14*l**2. What is the second derivative of v(o) wrt o?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**2 - 4*i**2 + 4*i**5 + (0*i**4 + 4*i**4 - 5*i**4)*(3*i + 2*i - 4*i) - 83*i**5 + 79*i**5 - 75*i**5.\nAnswer: -76*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-41)\/(2460\/16).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -5*j + 3*j + 54, -3*t + 20 = -5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 170, -5, -1 in increasing order.\nAnswer: -5, -1, 2\/5, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -4138.5872?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 4*y + 1. Let m = -2 + 6. Let f be q(m). Let t = f - -4. Is 6 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3002?\nAnswer: 2, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 772 and 61181?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -25*j**2 + 9042*j + 2894. Determine h(362).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 524098 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144465*k - 17 - 13154*k + 17.\nAnswer: 131311*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2268 = -41243*s + 41381*s - 8340 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -26.44 and 17.2?\nAnswer: 43.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5312 + 95659\/18. Let b = k - -203\/45. Calculate the common denominator of -25\/12 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 7*p + 7. Suppose -8*s + 10*s + 16 = 0. Let j be n(s). Which is greater: j or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = -32*r + 3*r + 8*r. Suppose -2*x + 23 + 34 = 3*v, 2*v + 2*x = 40. Suppose -4*g + 11 = -2*g + d, d = -4*g + v. Solve -g*p + 6 = -r*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 18 (c) 1\/5 (d) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 12:45 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24589, 98914, 222971, 396760, 620281, 893534?\nAnswer: 1216519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*m**2 + 3*m**2 - 23*m**2 + m**2.\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmrisrmmsrsirgsrss. What is prob of sequence rig?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 3*m = j + 8*j - 3*j + 1, -j + 4*m = -7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 169 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 16 = b + 3*b, 5*b + 25 = 0. Solve 3*g - 5*g = -4*f - j, -3*f + 2*g - 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30649 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -790 + 790. Solve a = 57*m - 53*m - 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - -0.3. Suppose 2*r - 3*r - 2*h = 0, -2*r - 1 = 3*h. What is the third biggest value in r, 3\/7, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-14)\/5 - (-3 + 57\/18) and -7\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7248491.2 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4718 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4252689077.\nAnswer: 7, 13, 17, 499, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-1 - (1 + 3))) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.86 + 65.86. What is the third smallest value in 3, 0.06, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7670, 15336, 23002, 30668, 38334, 46000?\n\"Answer: 7666*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Suppose 2*v - 2*a = 0, -5*v + 18 = q*a - a. Suppose -12 = -v*p - p. Solve 3*m - 2*u = 0, -u - p = -2*u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 9:55 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2222890535+-0.5\nAnswer: -2222890535.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10452877 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1 (b) -1 (c) 171 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (7 + -8 - (-1 + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 2*l + 2*l = 0. Suppose l = 2*q - 4*j - 190, -5*q = -4*j - 0*j - 445. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-8 + 3)) + -1 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2914468219?\nAnswer: 13, 17, 131, 100669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.42789 nanoseconds to seconds.\nAnswer: 0.00000008842789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/7))\/(l*l\/l**(2\/5)))\/((l*l**(-2\/3))\/l*(l\/((l\/(l\/l**(1\/4)*l))\/l))\/l)*l**(3\/10)*l**(-1\/3)*(l**(-2)\/l*l*l)**(-37) assuming l is positive.\nAnswer: l**(14939\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -747 and 5142.\nAnswer: -3841074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202774152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 668, 2693, 6064, 10775, 16820?\n\"Answer: -w**3 + 679*w**2 - 5*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u + 3*u - 4*u)*(-3*u**3 + 0*u**3 + 4*u**3) - 10*u**4 + u**2 + 2*u**4 + 0*u**2 in the form k*u**3 + o*u**2 + v*u + a + z*u**4 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -340 - -1059. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -636 - -824. Is 2\/9 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4 - 24462*t + 24410*t + 0 - 4. Calculate u(1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*m - 0. Which is smaller: 3\/16 or m?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-788544)\/(-23199) - (-24)\/2508?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 - -114.51. Let v = w - -0.4. Let d = -0.21 + v. Which is the closest to 1? (a) -0.4 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -579190099 + 276590099. Round r to the nearest 1000000.\nAnswer: -303000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11144200 + 10?\nAnswer: -11144140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 7*g**3 - 16 - 22 - 18.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (3 + sqrt(1539) + 0 + 5)*-1 + -1)**2.\nAnswer: 234*sqrt(19) + 1708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 176293020 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1119399.\nAnswer: -4\/1119399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 12*a**2 + 9*a**2 + a**2)*(4*a + 7*a + a)*(-4 + 11 + 2)*(2 - 1 - 2).\nAnswer: 216*a**3 - 3456*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0, 323, -5, 5 in decreasing order.\nAnswer: 323, 5, 0, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 1613*q + 705*q - 10 + 197*q + 13 + 2124*q. Let p(i) = 2*i**2. Calculate p(x(d)).\nAnswer: 43040642*d**2 + 55668*d + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g - 8 = 0. What is the smallest common multiple of g and (30\/7)\/(15\/70)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from {t: 1, v: 9, g: 1, q: 2}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnnlsbsdrsls. What is prob of sequence rn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/136488 and -27\/10340.\nAnswer: 682440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1513*w + 1508. Give d(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14472 and 348.\nAnswer: 419688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 611.2637 rounded to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. Let l = h + 4. Let x(d) = -2*d**2 + 18*d + 2. What is the lowest common multiple of x(9) and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2 - 12. Let o be (w\/4)\/(2\/4). Let l(d) = o*d - 2*d**2 - 3*d + 3*d + 4 - 3*d. What is l(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -5*z - 9*q + 1153, -5*q = -4*z + 905. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -6*z, -5*o - 4300000 = 3*z. What is o rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1170*j**3*z**3 - 15*j**2*z**3 + 6*j**2 wrt j.\nAnswer: -7020*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 8 = 8. Is 2 a factor of (16\/10)\/(4\/60 + h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**10\/u)*u)*u)\/u**25)**(-2\/79) assuming u is positive.\nAnswer: u**(32\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3500 and 3750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1161 in -0.2, 6, 5, 0.08, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7856.6085 rounded to zero dps?\nAnswer: -7857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 - 4 = -5*p - 5*t, t + 23 = p. Let a be (-48)\/p*9\/2. What is the units digit of (-1036)\/a - 1\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kks when three letters picked without replacement from wkskkswssskk.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/408 and -25\/544?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-4 - (-15)\/6). Calculate the remainder when (-18)\/27 - (-164)\/c is divided by (1*(-29)\/3)\/((-28)\/84).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -82 - 15*2\/5. Let d = k - -126. Calculate the greatest common divisor of 171 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + -1 + 5 + 7. Solve 8*q - 4*q + 32 = g*f, 3*f - 9 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 422594075*t**4 - 188378220 with respect to t.\nAnswer: 1690376300*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4034*h + 8095. Give k(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 2*v + 7*d + 33 = -2*v, 45 - 8 = 5*v - 3*d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 15 = -p, 16 = 5*p - 9*p. What is the common denominator of 49\/8 and (v\/1980)\/((-1)\/38)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c + 2*c**3 - 4*c + 0*c - 2*c**3 + 0*c + (2*c - 1 + 1)*(0*c + 0*c - 2*c**2) + 25*c**3 + 11 - 11 + 22*c**3 - 26329*c + 26329*c - 3.\nAnswer: 43*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26299803 is divided by 6345?\nAnswer: 6123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyw when three letters picked without replacement from yqkyyqyqywyqwwyywyy.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 - 1476*k**3 - 243756*k**2 - 15303168*k - 322486272.\nAnswer: -3*(k + 54)**2*(k + 192)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 133357013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/163 and 17\/10.\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-60))\/((-16)\/(-64))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146 + -145. Solve 4 + r = -5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 88775609061.\nAnswer: 88775609064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3061000 rounded to the nearest one hundred thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5284135300 to the nearest integer?\nAnswer: 1742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 2*b - 77 - 46)*(262 - 262 - 9*b)*(1 + 4 - 3).\nAnswer: 36*b**2 + 2556*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 4*q**2 - 2*q - 5. Suppose o + 5*f = -9, o + 3*f + 4 = -3. Let w be d(o). Suppose -9 - 3 = -w*y. What is the least common multiple of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u**2 - 44 - 9 + 3*u**2 + 53.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436 is divided by 35?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 6:43 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1505080 < -1505079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34189 is divided by 10167?\nAnswer: 3688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 1\/4, 2, 8, 0.162, 5\/54, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 304140 - 110?\nAnswer: 304030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6201774881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20837 - 20608.47. Round i to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -20*q**2 + 78*q - 235. Give l(3).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -11514298.\nAnswer: -11514298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 7) to base 3\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 804 by -2.\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 1829*s + 1415*s - 4 + 1 as p*s + y and give p.\nAnswer: 3244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -972*p + 70 = -986*p. What is the biggest value in 0.1, p, 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + -69. Let y = 108 + b. Solve y*g = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8948, -9567, -10176, -10769, -11340, -11883, -12392?\n\"Answer: x**3 - x**2 - 623*x - 8325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (23 + (-14 - 10) - -18).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.4, 22\/19, 1\/3, -1, -5?\nAnswer: 22\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -132306 divided by 105\nAnswer: -44102\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 a factor of 53386145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/11)*z**(-2\/5)\/z)\/((z**(-4\/3)\/z*z*z)\/z)**33 assuming z is positive.\nAnswer: z**(2328\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490003059?\nAnswer: 3, 7, 13, 47, 38189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3 + 0 - 4 - 1. Let f = 19 - 14. Suppose 2*t + f = -1. Let j(k) = k**2 - 3. What is t*l(n) + 2*j(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -231*x + 478*x + 141*x + 386*x + 468*x in the form v*x + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from ybbnynbyyyjybyjynbn?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**4 - 3*v**4 + 4*v**4)*(4 - 3 + 5) + (-5*v + 3*v + 0*v)*(-3*v**3 + 2*v**3 + 3*v**3) - 15*v**2 - 68*v**4 + 15*v**2.\nAnswer: -78*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4739*r - 61589. Calculate o(13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1913 - 1918. Let d = 2 + -1.5. Put d, 5, 2\/7, p in ascending order.\nAnswer: p, 2\/7, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1049*l**2 - 30. Let c(f) = 6*f. Determine y(c(b)).\nAnswer: -37764*b**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0161624 to four decimal places.\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, -7, 48.\nAnswer: -7, 48, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + -14. List the prime factors of (33\/44)\/((-1)\/y).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*o + 5 = 42, p + 4 = 3*o. Suppose 0 = -5*h + 4*i + 78, p*h + 0*h + i = 93. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2272634703?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3704.2 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.095 - 0.047. Let f = i - 3.048. Let h = 12 - 7. Sort h, 2\/11, f in ascending order.\nAnswer: f, 2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21\/(-5))\/(127\/(-2540)). What is the highest common factor of 651 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (84*c + 62*c + 307*c)*(3 + 1 - 5)*(7 - 7 - 6*c) as o*c**2 + l + g*c and give o.\nAnswer: 2718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34\/15*a**4 + 32\/3*a + 128\/15 - 2\/15*a**5 - 94\/15*a**2 - 158\/15*a**3 = 0. What is a?\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) 4 (c) -20\/129 (d) 2\/3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (210\/28)\/(-15)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2*m = -7*m - 1, 4*f - 4*m = -4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 take away 2767052358?\nAnswer: -2767052294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/15 + 66\/15. Suppose 0 = 4*g - r - 7. Suppose g*d - 10 = 29. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2*v + 0*v)*(36*v + 35 - 35).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 673331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290795\/1805 + 4\/(-38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -22. Let n be (-9)\/10 - (-2)\/5. Which is the closest to -3? (a) -2\/13 (b) m (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2.07. Let r(m) = -2*m**2 - 5*m + 56. Let n be r(-13). Let p = n + 869\/4. Which is smaller: d or p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p. Let m(f) = -31*f - 1. Give m(a(y)).\nAnswer: -31*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45.082 - -45. Let u = -0.08200079 - r. Round u to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p*u*y**2 + p*u + p*y**2 + 33000*p + 16*u*y**2 + 5*u*y + 5509*y**2 wrt y.\nAnswer: -4*p*u + 2*p + 32*u + 11018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74774 and 117502.\nAnswer: 822514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 122. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (11 - 3 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1073 = -2*m + 5*i, -109 = -m - 3*i + 444. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -314442*g**3 - 95525?\nAnswer: -943326*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217956 is divided by 108978?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -11*p + 3 - 3. Let t(j) = 11*j - 24. Let k(c) = 3*c - 8. Let m(u) = 12*k(u) - 4*t(u). Determine m(n(o)).\nAnswer: 88*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-12) + (-1353)\/(-12). Let r = -63 + g. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2\/5 - 68377*x\/5 + 17094\/5.\nAnswer: (x - 17094)*(4*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12\/95, 1102, -0.5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/89 and -67\/247064?\nAnswer: 247064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inn when three letters picked without replacement from {i: 4, n: 7}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7980511 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518 is divided by 275.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 12*i + 7. Let b be l(-11). Sort b, -5, -17 in ascending order.\nAnswer: -17, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + -3 + 7)*21. What is the greatest common factor of 84 and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37571988 by 5.\nAnswer: 37571988\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/40380 and 19\/140.\nAnswer: 282660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5503 (base 6) in base 13?\nAnswer: -762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 7:01 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -108, -169, -234, -303, -376, -453?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*l + 8534 = -16*l - 41*l - 61*l for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3, 2 in increasing order.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 0.17587, 203, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463412*p**3 - 776086 + 776086.\nAnswer: 463412*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**9\/504 + 19*i**5\/60 + 40*i**2. Find the third derivative of o(k) wrt k.\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 317 = -4*r - 281, 0 = 2*c - 3*r + 27 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*v + 5*x, -2*v = -4*v - 4*x + 14. Suppose -18 = -5*w - v. Calculate the remainder when w is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5072 = -16*t + 20*t. Suppose 2*q + 126 = 2*d + 634, 5*q - 4*d - t = 0. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*u - 15*u + 497. Solve -10 = -u*b + 9*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 minus -16581620056?\nAnswer: 16581620072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + u**2 + 4*u + 2. Let t be b(0). Suppose 0 = t*l - 5*o, 2*l + 5*o - 6 = 14. Find the third derivative of i**2 + 27*i**l - 15*i**5 + i**2 wrt i.\nAnswer: 720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 15*b = 56. Suppose -25 + 165 = b*u. Let f = 313 + -133. What is the greatest common factor of f and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 969936 and 121242.\nAnswer: 969936","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**3 - 3*x**2 + 1. Calculate k(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, d: 1, l: 1, q: 1, y: 1, w: 2}. Give prob of sequence wql.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 7*l = -9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-6 + 3 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + g - 31 + 5.\nAnswer: g - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (927\/6798)\/((-4)\/8)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -31, -58, -105, -178, -283?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/((-3)\/(3\/(-2))). Suppose -j*v + 4*w - 4 = 0, -2*w + w = 5*v - 13. Let x(n) = -4*n + n**3 + 0*n**3 - 1 - n**2 + v*n**2. Give x(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 6, 129\/5, -264?\nAnswer: 129\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + -1 + (-19 - -14) + 10?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 + -51. Sort 5, y, 2 in decreasing order.\nAnswer: y, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x - 41877. Let s(t) = 7*t**2. What is h(s(c))?\nAnswer: -28*c**2 - 41877","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11740\/55781 or 1?\nAnswer: -11740\/55781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - 36 - (-20 + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*z + 3 - 14 = 0, 20 = 4*z. Suppose -5*p = -5*i + 120, 127 = 5*i - 3*p + 7. Let s be -2*(-4)\/(i\/(-9)). Sort h, s, -5 in ascending order.\nAnswer: -5, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + -2 + 2 + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5306681?\nAnswer: 19, 29, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 1\/3*r**3 + 1\/2*r**2 - 2 - 2*r. Calculate the remainder when 38 is divided by m(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(8208) + (sqrt(8208)*-1 - sqrt(8208)) + sqrt(8208) - sqrt(8208) - (sqrt(57) + sqrt(513))*2)\/(1*sqrt(3)*2*-2).\nAnswer: -5 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262, 259, 256?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -10*j + 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391363\/123 < 11313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.84098t in micrograms?\nAnswer: 64840980000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-10 + -2 + -8 + 8 - 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 5*v**2 - 8*v + 5. Let p be q(6). Let a = 29 - 173\/6. Let t = -10954 + 10951. Put t, a, 4, p in decreasing order.\nAnswer: 4, a, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 - 359 - (-2 - 16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25664\/25 or 1028?\nAnswer: 1028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 379990442?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8*y**3 + 39*y + 238. What are the prime factors of k(-6)?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**3 - 5*v**2 - 5*v - 10. Give j(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8 (b) 1915425 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 139 + 3 = 0. Let i be 7 - ((-88)\/(-220))\/((-1)\/75). Let p = t - i. Put p, 5, 2\/9, -35 in decreasing order.\nAnswer: 5, 2\/9, p, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -84 + 215112?\nAnswer: 215017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-13)*n\/n**(-1\/5)*n**(4\/21)\/(n\/n**21*n) assuming n is positive.\nAnswer: n**(776\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15095 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + p - 138. Let k be z(0). Let t = k + 207. What are the prime factors of t?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/(sqrt(42)\/sqrt(6)))\/(-2*(sqrt(10) + -3*sqrt(10))) + -5 + sqrt(352)\/((sqrt(99) + 2*sqrt(99) + sqrt(99) - sqrt(99))\/sqrt(9)))**2.\nAnswer: -95*sqrt(2)\/6 + 2161\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - 2*t**2 + 205 + 291 + 4*t**2 + 0*t**2.\nAnswer: t**2 + 496","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 360\/1014527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-344838)\/576030 - ((-24)\/(-10) - 3). Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d**(-2)\/d)))\/d*d)\/(d*d**(-1\/10)))**18 assuming d is positive.\nAnswer: d**(-351\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 4:36 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((100\/(-90))\/(-5))\/(8\/18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**7\/840 + b**6\/48 + 17*b**5\/240 + b**4\/12 - 2*b**2 - 1. Factor k(c).\nAnswer: c*(c + 1)**2*(c + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 8*c - 508. What is the highest common divisor of 168 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**5\/20 + x**4\/2 + 2*x**2 + x + 2. Give z(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(23 - 2664\/117)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((3*sqrt(51)\/sqrt(3))**2 + (sqrt(153) + -1)**2).\nAnswer: -6*sqrt(17) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 475\/190*18\/5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-126)*7 + (-49)\/(-3). Suppose 0 = -12*a + y*a + 20. Let h(m) = m**2 + 9*m + 1. Determine h(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -11525211?\nAnswer: 1\/3841737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 7:56 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**2\/2 - 5*m + 40. Let s(u) = 2*u - 14. Let c be (-1*2)\/(8\/(-16)). Suppose 3 = -v, -f - c*v + 2 = 6. Give f*z(t) - 3*s(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q - 66. Let a be i(12). Suppose a*b - 49 = -13. Suppose -s = -2*w + 8, -7*w - 4*s - b = -2*w. Solve 2*x + 8 = w*k, -x = -3*x - 2*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 5 = -2*r - 3*o, -10 = -2*r - 2*o. Suppose 4*h + 18 = 5*f - 0*f, -f + r*h + 10 = 0. Solve -18 = f*a - 7*v + 3*v, -a + v - 6 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/5 - 48*l\/5 + 88\/5 = 0. What is l?\nAnswer: 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5746 and 204782.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 7432153?\nAnswer: -14864306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 22*j - 17. Let m be h(6). Suppose 7*z + m = 444. Calculate the remainder when z is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115432896 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 0 + 1\/2*o**3 + 0*o**2 - 2*o. Let w(d) be the third derivative of d**5\/60 + 480*d**2. Give w(f(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(-10\/9)*j)))\/j**(2\/59) assuming j is positive.\nAnswer: j**(-77\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33638, 33642, 33646, 33650?\n\"Answer: 4*k + 33634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14169771 to the power of 1\/2, to the nearest integer?\nAnswer: 3764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1185 = 30*x - 109*x. Solve x*y + 62 = -13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 9. What is the third biggest value in -2\/11, 4, a, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165 + 284 - 119 - 2*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54128059 is divided by 27063976?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (5 - 9 - -1) - (1 - 8)) + 28.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t - 55 = 0. Let m = -9 - t. Suppose m + 19 = 3*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -731, -2654, -5873, -10400, -16247?\nAnswer: -23426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 - 132*a**2 - 252*a + 262. Calculate j(-64).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7383.33us?\nAnswer: 0.000002050925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 150\/(-125)*10\/(-3). Solve -2*x + 14 = -o*l, 5*l - x - 10 = -4*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = t. Let k be 4\/6 - 140\/(-15). Let w be (-1 - 1)*2\/k. Sort w, -0.1, t in decreasing order.\nAnswer: -0.1, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2 = 2*f - 8, -3*f + r + 16 = 0. Suppose -o - 3*o + 1588 = f*h, 5*h + 1226 = 3*o. List the prime factors of o.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + -25 + 25 - -17 - 2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgvlf. Give prob of sequence vgh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (2\/5 + (21364\/(-60) - 3))*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 1 + 4*t**3 - 5*t**3 to the form g*t**3 + m*t**2 + f*t + d and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - ((-12 - 8) + 8)) + 5 - 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -108, -177, -256, -345, -444?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*n + 27*n + g - 3, 0 = 3*n + g + 17 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03 + 0.11. Let s = 39357 - 39356.5. What is the second smallest value in s, -1, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 8*h + 13*h = 0, 4*o - 5*h = 0. Let c(r) = r**2 + 6*r + 5. Let z be c(-5). Suppose z = -2*k + j + 3, -5*k + 17 + 18 = 3*j. Solve -p + o = k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -925 or 2\/5?\nAnswer: -925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 104*t**2 - 4. Let l(m) = -78*m**2 + 3. Give 5*l(z) + 4*w(z).\nAnswer: 26*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssssrrrsssssrsss. What is prob of picking 1 s and 2 r?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 51512*i - 31018?\nAnswer: 51512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-414)\/(-368)*(-2)\/(-9)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + (-2)\/2 + 2. Suppose -u + p = 2*u. Suppose 3*y = 5*l - 0*y + 16, 0 = -4*l + u*y - 12. Is l greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20182001?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001111111011100110000 (base 2) in base 16?\nAnswer: -27f730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3159, -483, -2\/13?\nAnswer: -3159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + 1 + (-2624 - -2435) + 57 + -1\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00110139 to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 6*a + 4*a - 4 + 10*a. Let w be z(7). Suppose w*y + 0*y = -12. Sort 4\/7, y, 1\/6 in descending order.\nAnswer: 4\/7, 1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*r + 125 - 61 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -239 + 232 + 2*g + 2*g to y*g + z and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42a (base 15) to base 10.\nAnswer: -940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -36. Let u(h) = -h**2 + 2*h + 155. List the prime factors of u(a).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4093*s**2 - 10*s. Let a(l) = 2*l. Calculate a(u(z)).\nAnswer: -8186*z**2 - 20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335*o - 140*o = -391*o + 7728 for o.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9412 is divided by 3122?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 193 + -88. Let a(i) = -i**3 + 15*i**2 + 128*i - 24. What is the remainder when g is divided by a(21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 24*j**2 + 65*j - 236. Give c(-27).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459 a factor of 2195105673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + p + 0 = -5, v - 3*p + 5 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 48091 = -d + 11*b, 2*d - 96130 = -3*b. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*m**5 - 86*m + 85*m - 2*m**5 - 8*m**3 + 3*m**3 - 12*m**2 wrt m?\nAnswer: -420*m**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -1. Let x = 0.6 + p. Let t = 0.8 - -2.2. Which is the third smallest value? (a) x (b) t (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 25 = -2*m, -m + 0*f = 2*f - 10. Suppose m = -4*v + 2*v + 4. Solve 0 + 0*o - 2\/7*o**v + 2\/7*o**3 = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + sqrt(396) + -2 + -2*(2 + sqrt(396))*-2.\nAnswer: 3 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14563649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1117 - 1795 = 182*q for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 6*y - 2*y)*(-2 - 4 + 19) + 55*y + 31*y - 11*y in the form t*y + b and give t.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -335 divided by -87\nAnswer: 335\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-1*(sqrt(300) + 1) + sqrt(300)) + ((sqrt(300) - (sqrt(300) + sqrt(300)*-1))*4 - (-5 + sqrt(300) + (sqrt(300) - -1*sqrt(300)))))*-6)**2.\nAnswer: 1440*sqrt(3) + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**(-7\/2)\/s)\/s)**(-39) assuming s is positive.\nAnswer: s**(351\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 24\/359353?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(((-12)\/(-45))\/(-2)). Is i < 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-7)\/2)\/7*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v)**(-11)\/((v*v*v\/v**(-3))\/v**5) assuming v is positive.\nAnswer: v**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5. Let o(f) = f - 4. Let h(y) = 4*o(y) + 3*s(y). Let c be h(1). What is the smallest common multiple of c - (-2)\/(-2 - -3) and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -4, 3\/29, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 + 0*a**3 + 83*a - 83*a.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/9)\/(6\/(-54)). Suppose -2*n + 10 = -p*w, -3*w + 0*n + 1 = 5*n. Let x = -27 - -23. What is the second smallest value in x, w, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33137?\nAnswer: 13, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (33\/(-5))\/((-84)\/560). Suppose 4 = 4*p, -4*p = -4*c - c + 51. Calculate the highest common factor of c and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + ab4d01?\nAnswer: ab4d0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 494909 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i - 62. Let d be m(-36). Let s(f) = -f**3 + 11*f**2 - 10*f + 4. Let w be s(d). Solve 32 = -w*v - n + 9, -v = n + 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 33*l**2 - l + 3 + 4*l - 35*l**2. Calculate g(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 13 = p - 3*z, -1 = 2*p - z. Solve -2*a - p*a + 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1121 - 2551. Round b to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**4\/2 - 470*q**3\/3 - 473*q**2 - 474*q - 723. Factor h(i).\nAnswer: 2*(i - 237)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 + (37 - 2)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 126\/8*(-8)\/(-3). Suppose 5*q - p = 2*q - 3*j, 2*q - 16 = 4*j. Let o be 380002\/(-4) - (-6)\/q. What is o rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 2*a - 46, -4*p = -5*p - a + 14. What is the greatest common factor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-474)\/16*(-12)\/36 and 63\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from ooooxooksoooomooomo.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 134 and 469.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -629469792 divided by -72.\nAnswer: 8742636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/2 and -47\/3616091.\nAnswer: 7232182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 211 - 206. Let p = 60 - 57. Suppose r = -5*v - 1, -v = p*v - 2*r + 12. Sort k, 3, 2, v in decreasing order.\nAnswer: k, 3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42093 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(2*(sqrt(3) + sqrt(18)\/sqrt(6))).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 19*y + 30. Let h be x(-9). Suppose 0 = 7*f - h - 181. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + sqrt(1008)) + -2 + sqrt(21)\/(sqrt(12) - sqrt(3)) + sqrt(7) + -2 + sqrt(343) + -3)**2.\nAnswer: 702*sqrt(7) + 5272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3071624?\nAnswer: 3071624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g + 112 - 936 = -165 + 307 for g.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*o. Let t be o\/(-2) + (-18)\/(-27). Sort -0.4, 2\/9, t.\nAnswer: -0.4, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -25*l**2 - 24*l - 377. Let v(w) = -28*w**2 - 26*w - 378. Let c(k) = -7*j(k) + 6*v(k). Differentiate c(y) with respect to y.\nAnswer: 14*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3375 and 7595550?\nAnswer: 113933250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 - 9.66. Let p = g - -10. Put -0.4, 0.1, p in increasing order.\nAnswer: -0.4, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + v - 7*v)*(4*v - 5*v + 3*v) + (-29*v - 59*v + 35*v + (3*v + v - 3*v)*(1 + 1 - 4))*(2 - v - 2).\nAnswer: 51*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -20, 28*j = 24*j - l + 9. Let r be (1*2)\/(-5 + 3). Suppose i + 3*i = 8. Sort r, i, j in descending order.\nAnswer: i, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 8*k**3 + 5*k**2 - 6*k. Let l be u(9). Suppose -4*d = -l - 558. Round d to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 532, 708, 884, 1060, 1236, 1412?\n\"Answer: 176*z + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**4 - 572*y**3 - 27636*y**2 - 468308*y - 830584 = 0.\nAnswer: -47, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from {c: 1, a: 3, k: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3670 = -14814. Suppose -6*r + 7*r + h = x, 5*r = h + 23093. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t\/((t\/(t\/(t*(t\/(t**(-7\/5)*t))\/t)))\/t)))\/t)\/t**(2\/11))\/(t**(-1))**(1\/49))\/((t**(-6)\/t**(-2\/7))\/(t**(-6)*t**3\/t)) assuming t is positive.\nAnswer: t**(2568\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 569936 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.3, 0.123, -5864 in descending order.\nAnswer: 0.123, -0.3, -5, -5864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 385*c + 135 = -389*c, 2*c + 75 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76020166?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.5251666 millimeters?\nAnswer: 0.0005251666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 1:50 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5847, -11701, -17569, -23457, -29371, -35317?\n\"Answer: -d**3 - d**2 - 5844*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/52 + (3 - (-154)\/(-40)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1562.974 + 1553. Let x = 9.86 + 0.14. Let s = x + q. What is s rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(4*(sqrt(44)\/sqrt(4) + sqrt(11))))\/(sqrt(36)\/(sqrt(90)\/(sqrt(20)\/sqrt(2)))).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/84*(-16)\/((-576)\/(-6)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbgwwbwggbmdj. What is prob of picking 1 d and 1 b?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 3768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + i - 3*t + 16 = 0, 4*i + 4*t = 8. Put 6, i, 1 in ascending order.\nAnswer: 1, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24090135 is divided by 1108.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*(-6)\/(-1). Let x be 14\/24 + 1\/k. Let v = 3785.4 - 3785. What is the fourth biggest value in -1\/7, v, x, 7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 2. Let i be w(1). Let l(j) = j**3 - 5*j**2 + 3*j + 1. Calculate l(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6950? (a) 0.5 (b) 2 (c) -0.4 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l**2 - 6*l**2 - 5*l**2 - 5*l**2 - l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((1\/1)\/((-43)\/86))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 + 115. Let g(m) = -m**3 - 8*m**2 - 13*m + 5. Let k be g(-5). Let x(n) = n**3 + 4*n**2 - 9*n - 4. What is the remainder when p is divided by x(k)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69280 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 26\/3*x**3 + 0*x**2 + 10*x - 11. What is the first derivative of w(h) wrt h?\nAnswer: 52*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 1\/10*a**5 - 13*a**2 + 0*a**6 + 16\/105*a**7 + 0*a**4 + 0*a + 0*a**3 + 0. Find the third derivative of g(k) wrt k.\nAnswer: 768*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 4*s + 7*s)*(-3*s - s**2 + 3*s)*((-3 + 3 - 2*s)*(3*s + s - 5*s) + 3*s**2 - 4*s**2 + 0*s**2 - s**2 - 5*s**2 + 4*s**2).\nAnswer: 4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 46*w - 2421 = -2448. Find t, given that -w - 1\/2*t + 1\/2*t**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 262718 and 102?\nAnswer: 788154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k - k**4 - 38*k**3 + 40*k**3 - 2 - 7*k as w*k**4 + r*k**2 + g + y*k**3 + z*k and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a66 (base 12) to base 11.\nAnswer: 157a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -13*u**2 - 54*u - 2. Let s be g(-4). Let d(f) = 24*f - 166. Let c be d(7). Calculate the greatest common divisor of c and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -112, -126, -156, -208?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668240 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 3*u = -5*c - 73 - 1 + 1, 3*c + 42 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 704275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 45.14214 minutes?\nAnswer: 2708.5284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-19 - (-8 - -2))*-75.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25117468?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11, -3024, 4, 7, 21 in descending order.\nAnswer: 21, 7, 4, 3, -11, -3024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 11:50 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -33185096.01 less than -0.1?\nAnswer: 33185095.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o + 2*o + 0*o)*((2*o**2 + o**2 - o**2)*(3 - 4 + 0) + 4080*o**2 + 4728*o**2 - 11721*o**2) as r*o + h + g*o**3 + k*o**2 and give g.\nAnswer: -14575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/343550 and 107\/2404850?\nAnswer: 2404850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 681, 1381, 2131, 2955, 3877?\nAnswer: 4921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 + 2*s**3 - 7*s**3 - s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(1\/3)\/y*y)\/y)**(10\/7) assuming y is positive.\nAnswer: y**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.082 + -0.102. Let q = -1.03 + c. What is the closest to -1\/4 in 3\/8, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -324a91 (base 12) in base 2?\nAnswer: -11000010011100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 49\/(-2)*((-109)\/(-55) + -2). Let s = y - 1\/22. Factor 6\/5 - s*n**2 + 4\/5*n.\nAnswer: -2*(n - 3)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 1e04c?\nAnswer: -1e04e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137005\/8 + 17145. Is 18 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22736 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 979b + -1c?\nAnswer: 977f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7487549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*s + 83*s - 41*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45412160 + 26?\nAnswer: 45412216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4918993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15333 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 268?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16854 and 16536.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 565a0 (base 11) to base 2\nAnswer: 10011111111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**3 + 28 + 0*w - 26 + w)*(-w + 3*w - 3*w).\nAnswer: -5*w**4 - w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18494092 or 18494093?\nAnswer: 18494093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (272 + 2*z**3 - 202 - 156 - 2*z**2)*(2 + 3 - 3) + (-3*z + 0*z + 2*z)*(0*z**2 + 0*z**2 - z**2).\nAnswer: 5*z**3 - 4*z**2 - 172","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1852 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -9 + 11 + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 2 - 1 - (-45 + 30)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-12) - 23\/(-6). What is the tens digit of 6\/y*(-5 - -169)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 309 = 3*d, -2*d + 2*r - 185 = -3*r. Suppose g + 65 = -4*z, 5*g + 3*z = 4*z - 220. Let i = g - d. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406091895.\nAnswer: 3, 5, 11, 2461163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**5\/20 - g**4\/4 - 5*g**3\/12 - g**2\/4 - 29. Factor b(f).\nAnswer: -f*(f + 1)**2*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**6\/120 + 5*r**4\/24 + 5*r**3\/6 + 590*r**2. Let j be (-3 - -1) + 28\/4. Let s(t) = t + 1. What is j*s(n) - i(n)?\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12907 + -12906. Which is the closest to y? (a) -5\/6 (b) -5 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -1.10614.\nAnswer: 0.442456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 3. Suppose -3*b = -7*b - 5*f - 9, 2*b - 4*f - 28 = 0. Let t = 7 - b. Solve 4*y - 3*q = 1, 0 = -t*y + m*q + 4 + 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1220 + 21302240?\nAnswer: 21301020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21062753773 + 3*k**2 - 21062753774 - 8*k**2.\nAnswer: -5*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - 50 - (5 + 1 + -8) - -157 - 9?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-42)\/(-3))\/(5012\/(-1074)))\/(-111).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 1:57 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - -0.3. Let t = -21.175 + 20.675. What is the nearest to g in 0, -1\/3, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -110*h**3 - 3*h + 11. Let y = 1 + -4. Let d be r(y). What is d rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 134381 and -0.3.\nAnswer: -40314.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 953613811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (46 + (6 - (5 - -1))).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132070 - -132066. Let u(b) = 12*b + 39. Let p(z) = 6*z + 19. Let j(s) = 5*p(s) - 3*u(s). Give j(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -17*d**3\/6 + 26*d. Let r(h) = -h**2 - 11*h. Let n(x) = x**2 + 6*x. Let s(v) = 11*n(v) + 6*r(v). Calculate s(a(g)).\nAnswer: 1445*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4}. What is prob of sequence tt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 + 70.00000876. Round d to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*n = -90*n + 3*m + 608009, 2*m - 607994 = -2*n. What is n rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**6\/35 - 59*z**5\/140 - 69*z**4\/56 - 9*z**3\/7 + 7717*z**2. Factor h(i).\nAnswer: -3*(i + 1)*(i + 6)*(8*i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*p - 423 = 0, 3*p + 1433 = 5*k - 647. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12808, 51178, 115120, 204628, 319696, 460318, 626488, 818200?\n\"Answer: -q**3 + 12792*q**2 + q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 3 - 3 + (4 - 3 - 3)*(-3*n + 2*n + 3*n) - n - n + 3*n + n - 2*n + 3*n + 5*n - 6*n + 2*n + 2.\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323046635?\nAnswer: 5, 64609327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/9)\/(4*3\/72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 1252?\nAnswer: 1252.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -205 + 195.94. Round o to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 8*d = 88. Find the common denominator of 4\/23 and ((2 - -33) + 7)\/((-66)\/d).\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43)\/(-774)*-4*6\/(-16)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 + -2 - (8 - 6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30429 and 343.\nAnswer: 213003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9039253, 18078531, 27117809, 36157087?\n\"Answer: 9039278*k - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 5*k**4\/12 + 435*k**3 + 340605*k**2\/2 - 8*k - 12. Let x(m) = 0. What is m?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 145, -0.089, 5\/4, 2\/5 in increasing order.\nAnswer: -0.2, -0.089, 2\/5, 5\/4, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -1167.\nAnswer: 8\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 7:48 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 31537, 31534, 31531, 31528, 31525?\n\"Answer: -3*w + 31540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -508 - -508.00000211. Round v to seven decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18318556 is divided by 9159278?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.538 and 0.95661589068?\nAnswer: 0.41861589068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -32. Suppose g = -4, f = 5*y - g - 9. Suppose x = 5*i + 559, -x = -y*x - 2*i + 559. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-2)\/(-4)*-2. Let q = -866 - -863. Let u be (-1)\/q*81*(-16)\/(-24). Solve 3*p = 2*o + 3, d = -2*o - o - 3*p + u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -117*x**2 + 63*x**2 + 55*x**2. Let c(v) = -61*v**2. Calculate s(c(h)).\nAnswer: 3721*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1306951, -2614089, -3921227?\n\"Answer: -1307138*t + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 641 divided by -21\nAnswer: -641\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdrdrsbsdvbvrst. What is prob of picking 2 s, 1 d, and 1 r?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*-11*(-357)\/(-1122).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 76 + 43*b - 76 + 2 + 2*b - 2 + (-5 + 5 - 1)*(-2 - 2*b + 2) - 2*b + b + 3*b + 49 - 49 + 8*b - 3*b + 3*b - b.\nAnswer: 56*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146 (base 16) to base 2.\nAnswer: 101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 5. Let y = w + 3. Let b = y - -3. Sort -4\/3, -1, b in ascending order.\nAnswer: -4\/3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1934 divided by -1\nAnswer: 1934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 = -0*i. Suppose -4*s + p + 3 = -i, 4*p = 3*s - 3. Is (49\/14)\/(s\/46) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 6*o - 15. Suppose -14 = -3*w + o*l + 39, 37 = 2*w - 5*l. Calculate the lowest common multiple of (-808)\/(-5) + 18\/45 and w.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-135)*2*-1)\/(4\/40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664779 is divided by 1042?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 23 = 5. Solve k*w = 4*n + 4, 5*n = -3*w - 5 - 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 + 7*h + 5. Let s = 13 - 10. Suppose -s*v + 35 = a - 6*a, -5*a - 35 = 3*v. Is x(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9654 is divided by 210.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 76*b**2 + 10*b. Let s(d) = 15*d**2 - 14*d + 7. Let v(g) = -17*g**2 + 16*g - 8. Let j(i) = -8*s(i) - 7*v(i). What is w(j(a))?\nAnswer: 76*a**4 - 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = 226 - 1. Solve -4*k + v = 17, 0 = -5*k - 5*v - 5 + c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s**2 + 3*s - 4. Let a be c(1). Suppose 0 = a*o - 7*o + 6. Let w(v) = 6*v**3 + 4*v**2 - 5. What are the prime factors of w(o)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100222 (base 3) in base 16?\nAnswer: 10d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425 and 500?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3837467317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**7\/105 + s**5\/15 - s**3\/3 + 9*s**2. Factor d(w).\nAnswer: -2*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 9 = 3. Suppose r + p - 5 = 0, j*r + 0*p = 5*p - 25. Suppose r = 6*v + 19 - 43. Solve v*w = 3 + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/114 - (-42)\/(-38)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**5\/20 - 5*h**4\/3 + 3*h**3\/2 - 13*h**2\/2 - 30*h - 2. What is the tens digit of m(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 l when three letters picked without replacement from lczlzclzlz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4119 + 4155 = -18*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*sqrt(17) - (sqrt(204)*-4)\/sqrt(12).\nAnswer: -26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.28*-408911\nAnswer: 114495.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 697 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -132*o - 6373. What is j(-48)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -15*s. Let t(h) = 125*h + 4. Let z(k) = -8*r(k) - t(k). Let u(x) = -2*x + 9. Let v be u(7). What is z(v)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**4\/36 - t**3\/18 + 9*t. Determine p so that o(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 5 - 3 + 0 + 1 + (-2 - 3 + 6)*(-4 + 3 + 3) - 5 + 1 + 2)*(a + a - a) + 0*a + 6*a - 4*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, -5, -60 in increasing order.\nAnswer: -60, -5, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -23 + 162 + 4*1?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -492*b*x**2 - 39*b*x - 5532*b + 3*x**2 - 41 wrt x?\nAnswer: -984*b*x - 39*b + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k - 1. Let f(v) = 13*v + 64. Let p be f(-5). Let l be (p\/3)\/((13 + -14)\/(-18)). Let b(i) = 4*i - 1. What is l*b(c) + 5*q(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 - 28*s. Let t(b) = b - 188. Determine q(t(i)).\nAnswer: 3*i**2 - 1156*i + 111296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**3 - 21*r**2 - 16*r + 15. Let c(b) = -b**3 + 4*b**2 + 3*b - 3. Let x(i) = -11*c(i) - 2*m(i). Is x(2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 528015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + (sqrt(1872) + (-2*sqrt(1872)*5 - sqrt(1872)) - (-1 + -1*sqrt(1872) - sqrt(1872)))**2 + 1).\nAnswer: -599040 + 960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + a + 4. Let l be d(0). Suppose l*i + 0 = 12. Is (-3 - (-9)\/i) + 1049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11030552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5752186 and 55?\nAnswer: 28760930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/80 of a millisecond?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.279? (a) -0.1 (b) -2\/133 (c) 1\/4 (d) -4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7088, -8182, -9276, -10370, -11464?\n\"Answer: -1094*m - 5994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c*c**(-2\/11))\/c)*c*c**15*c*c assuming c is positive.\nAnswer: c**(211\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/4 and (-4)\/(-3)*693\/1974.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 - 20754 + 41505 - k**3 + k - 20751.\nAnswer: -4*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)*x*x*(x\/x**8)\/x)\/(x\/((x\/x**(-1\/3))\/x))**17 assuming x is positive.\nAnswer: x**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, k: 1, w: 1, u: 2, i: 4}. Give prob of picking 1 i, 1 p, and 2 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 36756590?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16.99411+-0.0444\nAnswer: 16.94971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*d - 118400 = 0, -22362 = -m + 5*d + 7271. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3.553623m?\nAnswer: 355.3623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 8) + 6 - 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/7*k + 0 + 8\/7*k**3 - 20\/7*k**2 + 20\/7*k**4 = 0 for k.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43261 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172494 divided by 57498.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(sqrt(14)\/sqrt(2)))\/(-2*sqrt(360) - sqrt(360)) + 4.\nAnswer: -sqrt(5)\/18 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 348, -10625, 2\/5?\nAnswer: 348","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/12*(-4)\/(7 + -3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39235 + 764.89389.\nAnswer: 39999.89389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -11. Which is greater: 3 or y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1088 divide 75672576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/5, -67 in descending order.\nAnswer: 5, -3\/5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (13\/(-3))\/(22\/33). Are -7 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1537, 4206, 9949?\n\"Answer: 5743*y - 7280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -8448094?\nAnswer: 42240470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 35 + 75 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*z + 115 = 0, 0 = 3*v + 5*z - 9 - 166. Suppose 2*a + 2 = -5*w, -3*a + 3*w - 2 = -5*a. Suppose -226 = -a*b + v. List the prime factors of b.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 11:32 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1302, -3858, -8118, -14082, -21750, -31122?\n\"Answer: -852*p**2 - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20421522 + -1?\nAnswer: -20421523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -561055*l**6 - l**2 + 70601*l wrt l.\nAnswer: -67326600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 6*r = 236 - 126 - 115, 0 = -a - 4*r + 1 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -79*y + 8. Let z(l) = 145*l - 15. Determine -11*a(u) - 6*z(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -36 - ((-13772)\/396 - 2)\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, z: 1}. What is prob of sequence za?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 7\/4, -0.12, 4 in ascending order.\nAnswer: -1\/3, -0.12, 7\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1842088266.\nAnswer: 2, 3, 19, 43, 125261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-6))\/((-2)\/21). Suppose -156 + 51 = -7*i. Suppose 2*q + 5*u + 4 = -8, 0 = -4*q - 2*u + 8. Solve q*g + i = o*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -26 + (-1 + 4 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 179280909 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 13*y**2 + 2*y + 19. Let h be n(-13). Let r = h - -10. What is the units digit of 4\/((-3)\/(-18)*r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -1. Suppose -2 - m = -t. Factor -2\/3*b**t + 0 + 2\/3*b**3 + 2\/3*b**4 - 2\/3*b**2 + 0*b.\nAnswer: -2*b**2*(b - 1)**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54613.32 centuries to decades.\nAnswer: 546133.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 366830 and 2017565.\nAnswer: 4035130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 3*v - 14, -26*v - 440056 = -3*m - 440218 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 235 = 68*j. What is the remainder when 250 is divided by 3\/(-4)*(j - 2632\/24)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most as big as -59\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15233216?\nAnswer: 2, 238019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -326, -327, -328, -329?\n\"Answer: -m - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 982056601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 2*y = -5*y - 20, -5*j + 2*y = j - 5*j - 37 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13615056803 and -153.\nAnswer: 13615056650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 4*d + 3. Let b be h(4). Suppose 8 = j + b*a, -5*j - 5*a + 0*a + 30 = 0. Let g = 3 + 17. Calculate the highest common factor of j and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -1 - 4\/(-18). Let m be (-4)\/46*(2 - 3). What is the nearest to -0.1 in -3\/2, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 8:57 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 87 = -2*t. What is the remainder when t is divided by (-64)\/(-6) - 18\/27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 815*y**2 + 1075*y**2 - 1399*y**2 + 254*y**2 - 2*y + 0*y to the form f + b*y + j*y**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.01*0.89564\nAnswer: 0.9045964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 6*d**2 - 23*d + 15. Let l be r(9). Suppose -k + 38 = 2*o - 0*k, 3*k = -3*o + l. What is the greatest common divisor of o and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y - 3*y + 2*y)*(-385 + 159 + 54)*(-2*y + 5 - 5) to j*y + h + q*y**2 and give q.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10330 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 787243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 2808?\nAnswer: 19656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = n - 1, -10 = -4*d + n + 3. Let x = 1 + d. Solve -2*r + 11 = -z, r = -4*z - x*r + 16 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*v + 141*v = 4325. Let c(p) = -26*p**2 - p - 2. Let f be c(-2). Let m = f + v. Is 23 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m - 7. Suppose -2*h = -5*s - 41, h = -2*s + 9 + 7. What is the remainder when m is divided by 76\/h + 2\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-131618.\nAnswer: -6580.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292273424 divided by 54981?\nAnswer: 23504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a micrometer in nanometers?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-5))\/((-444)\/(-1073)*(-2)\/(-8)*-1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -215.5 + 227. Let u = -11.6 + y. What is the second smallest value in u, 0.4, -21?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 d, and 1 e when three letters picked without replacement from tdredessdsdeddr.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 62958516.63.\nAnswer: 62958513.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3077454 (base 10) to base 9\nAnswer: 5710423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 0, -23*k - 3*y - 99 = 31*k - 51*k for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -825 in -0.2, 1\/7, 0.3, 98?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + 2*g**2 - 5*g**2 + (-2*g + g + 2*g)*(4 - g - 4) - g**2 - 1 + 1 + (1 + 2 - 9)*(-4*g**2 + 4*g**2 + g**2).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5 = -2*w, -d + 10 = 4*d - 3*w. Suppose -4*k + 5605 + 5351 = 0. Suppose 16*m = d*m + k. What is the remainder when m is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.8492625 and -1.6?\nAnswer: 5.4492625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21017 is divided by 320.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 134 in 4, -5, 102, 0?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -212*j**4\/9 + 808*j**3\/3 + 388*j**2\/3 - 26960*j\/9 + 3696 = 0?\nAnswer: -189\/53, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v**2 + 11*v - 5. Let f(y) be the first derivative of -63 - 2*y - 2\/3*y**3 + 2*y**2. What is -11*f(h) + 4*t(h)?\nAnswer: 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 18*k - 19*k - 1419, 3*j = -5*k + 2148. Is 32 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 - -52f?\nAnswer: 51d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5163.1 + -5163. Suppose -3*c + 6*c - 21 = -3*n, n + 1 = c. Let r be (c\/5)\/((-4)\/20). What is the smallest value in r, 3, o, -0.03?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 39*q + 200. Give b(33).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*s + 4*s - 108. Solve s = l - 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s - 7. Let q(p) = p - 3. Let v = -10 - -8. Calculate v*t(z) + 5*q(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*a - r, -3*r - r + 12 = 4*a. Let d be 42\/9 + (-4)\/a. Suppose -5*h + 67 = 5*v + 5687, v = -d. What is h rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 11 = -5*m + j, -2*j = -3*m - 8. Let t be m\/(-2398)*1934334\/408. Let l = t - -3\/7412. Calculate the common denominator of l and -67\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3454146388 + 0.0006\nAnswer: -3454146387.9994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 38511 = 4*h, 5*h - 6*h = 3*k - 9644. Let w = h + -3146. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -5. Suppose -4*d + 2*d + 2*i = -68, 0 = m*d - i - 121. Is 29 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 4*f**2 - 4*f + 1. Let l be o(-3). Suppose 3*w - 24 = -4*n, -n = -l*w + 12 + 1. Suppose n*r - 6 = 2*r. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 3. Let b(m) = 7*m**3 - m**2 + m. Let y be b(k). Suppose 4*r = -y + 23. Put -4, r, 5 in ascending order.\nAnswer: -4, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyouxx. What is prob of sequence yx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4)*6 + 1. Suppose 5*r = -3*h - 731, l*h - 3*r = -208 - 786. Let t be (-1)\/4 - h\/(-4). What is t rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124 - 121. Solve -5*x - 4*s - 1 = 10, -u*x + 2*s - 11 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45 - -124?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.6075 times 17.1\nAnswer: 10.38825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 20, 0, -4, -1 in increasing order.\nAnswer: -4, -1, 0, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10795 divided by -5.\nAnswer: 2159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 271 + -263. Let i be ((-33)\/(-1) - 9) + k. Solve 0 = 3*c + 5*c - i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1089*q - 409*q**2 + 1089*q + (-6*q + 2*q + 2*q)*(-q - 3*q + 2*q).\nAnswer: -405*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6332 divided by -6.\nAnswer: 3166\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**2 - 2. Let k(w) = -w**2 - 1. Let y(t) = f(t) + 3*k(t). What is the first derivative of y(l) wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**2 + i + 1. Let c be x(-1). Suppose -c*j - 81 + 376 = 0. Suppose -3*s = -j - 40. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 30\/493, -8, -1, -15, -0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 425 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x + 496 = 23*x. Let z = 138 + x. Let j be (-2)\/(-11) + 240\/z. Is -2 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, r: 2, v: 1, u: 1, w: 2}. What is prob of picking 1 u and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4660)\/(-70) + (-4)\/7.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13561.2 and 0.\nAnswer: -13561.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*f**3 + 107*f**2 + 116*f**2 + 152*f**2 - 28*f**2 wrt f?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**3 + o**2 - o - 12. Let a(k) = 2*k**3 - k**2 - 1. What is 3*a(l) - r(l)?\nAnswer: 2*l**3 - 4*l**2 + l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127004, -254034, -381046, -508034, -634992?\nAnswer: -761914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 167*b - 42.\nAnswer: 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = -568. What is the tens digit of 14\/(-35) + w\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7800516 to the nearest 10000.\nAnswer: -7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 182.803374 rounded to one dp?\nAnswer: 182.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 w when three letters picked without replacement from vvwwgeggg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11705, -23410, -35115, -46820?\n\"Answer: -11705*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23830460 divided by 145?\nAnswer: -164348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33, 31, 29, 27, 25?\n\"Answer: -2*q + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76507655 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: List the prime factors of 4385172.\nAnswer: 2, 3, 11, 139, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186, -184, -182, -180, -178, -176?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 1:03 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -9, 35, 113, 231?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(28\/7))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*u**6 - 2674*u**4 - u**2 - 2716*u**4 + 286*u + 8143*u**4 - 2703*u**4 wrt u?\nAnswer: 1440*u**3 + 1200*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (2\/(-1) - -3). Suppose 5*d - z*m - 389 = -92, 3*d + 2*m = 191. Let l = -35 + d. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -8*w**3 + 4*w**2 - 10*w + 6. What is k(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/(-50))\/(2\/10). Let p(b) = -2*b - u + 0 + 2*b - 2*b. Calculate p(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1781 + 954. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*f - 17 = 2*f, -5*n + 5*f + 10 = 0. Does 6 divide -36*n*2\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242557883921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267030717.\nAnswer: 3, 229, 388691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 720 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*j = 48, 2*r - 17 = -2*j - 1. Let c = r + 16. Solve 2*d - 2*g - 8 = 0, 3*d + 0*g + c = -5*g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -23*k**2 + 76*k - 88. Determine f(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/9)\/t)\/t*t**(2\/3)*t*t**(-4)\/t*t**(2\/3)*t)\/((t*(t*t\/t**0*t)\/t)\/t*t*t*t\/(t\/t**(-3)*t)*(t**(1\/4)\/t)**(-5)) assuming t is positive.\nAnswer: t**(-263\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1071\/(-2142))\/(5\/4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -89, 9, 4, 5 in descending order.\nAnswer: 9, 5, 4, 1, 0, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 21*i + 50*i = 2727. Calculate the remainder when 686 is divided by i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1. Let o(f) = -4*f**2 + 8. Let g = -23 - -8. Let j = 16 + g. Determine j*o(y) - 8*m(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.2, 3\/5, 3\/61, 1\/3?\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41644 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4785 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 98 + 33 = 0. Let k = 13 - t. Solve -2*s - 5*r + 14 = k, r = -5*s - 14 + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-3\/7)\/q)\/q*q*q\/q**(2\/17))\/(q**(-4)\/q**(-1)))\/(q*q**2*q**(3\/8)*q**(-3\/2)*(q\/q**(-2\/3)*q)\/q) assuming q is positive.\nAnswer: q**(-3107\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 265.441438 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 681201 times -0.4?\nAnswer: -272480.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -275.8 + 293. Sort d, -2\/5, 0.4, 0.3 in ascending order.\nAnswer: -2\/5, 0.3, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1654*g**4 + 3120*g**2 wrt g.\nAnswer: 39696*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 16*p**2 - 4*p - 24. Calculate m(-16).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/222 and ((-5)\/(-96))\/(94\/(-376)).\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/330?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9*d. Let p(z) = 1464*z**2 + 39*z. Give p(k(t)).\nAnswer: 118584*t**2 + 351*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 21*l**3 + 4 + 15*l**3 - 31*l**3 - 4*l + 4*l to the form y*l**2 + a*l**3 + h + b*l and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -3, -210, -2 in decreasing order.\nAnswer: 3, -2, -3, -4, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -898.2.\nAnswer: 898.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d - 16. Let v be c(9). Suppose -2*h - s = 11, v*h - s + 1 = -0*s. Do -3 and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2948119, 2948115, 2948115, 2948119, 2948127, 2948139?\n\"Answer: 2*p**2 - 10*p + 2948127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*c = 20. Let l(n) = -68195*n - 3. Let y be l(c). Let m = 201978 + y. What is m rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 5. Let g(u) = -3*u - 2*u + 7*u - 3. Let j be g(4). Let a be v(j). What is the closest to a in 0.3, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -15924*h - 4. Let y be n(4). What is y rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 5 + 1 + 0. Which is the closest to 0? (a) 0.05 (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 - (5 - (-411)\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021 (base 4) to base 3.\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9776700 divided by 391068.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -n + 5*k - 445, 5*n = 4*k + 445. Suppose 0 = -2*z - 93 - 11. Let a = z + n. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 - -1154. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182147?\nAnswer: 7, 26021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(5\/3)\/w*w)\/w**(-1))\/(w**3*w*w*w**3) assuming w is positive.\nAnswer: w**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 296969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2465 + -1541. List the prime factors of x.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 3, 0.5, -1127272?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**(1\/19))**(-2\/63) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -24, -31, -38, -45?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/13? (a) -257.4 (b) -3\/7 (c) 17 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2556 + 2524. Which is the second smallest value? (a) -2\/7 (b) m (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 4602*f**2 + 306000*f - 5162696.\nAnswer: 2*(f - 2233)*(f - 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*w - 9*w - 46*w.\nAnswer: -33*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/(h\/(h**(-1\/5)\/h)))\/h)*h**(1\/6))\/(h**(7\/3)\/(h\/((h\/(h*h**6*h))\/h))))**(-2\/11) assuming h is positive.\nAnswer: h**(-301\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148837 is divided by 130?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 33364 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 10:10 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*u - 222 = 7*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3115 and 476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 60158?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 482621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 15ce3092?\nAnswer: 15ce308d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**3\/3 + 3*x**2\/2 + 2*x - 3. Let n be s(4). Which is smaller: n or -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -238 + 155. Let w = z - -80. What is the nearest to 0.1 in 0, w, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 60 in 4, 13, -5\/171?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92974070?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -385, -781, -1193, -1627, -2089, -2585?\n\"Answer: -u**3 - 2*u**2 - 383*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnwnnnn. Give prob of sequence nwnn.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 17*n**2 - 255*n + 20. What is f(11)?\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1438 (base 11) to base 3\nAnswer: 2112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 39047*p**2 + 4*p - 5. Let l be i(-6). Let j = l + -435663. What is j rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**4\/4 + 6*f**3 - 27*f**2\/2 - 45*f + 16. Is j(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1409952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -75181, -150797, -226395, -301975, -377537, -453081?\n\"Answer: 9*h**2 - 75643*h + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - t**2 - t - 1. Let s(k) be the second derivative of -k**5\/5 + k**4\/4 + k**3\/2 + 3*k**2\/2 + 3371*k. What is s(u) + 3*y(u)?\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m + m**2 + 0 + 19 - 18. Let r(t) = -t - 2. Let o be r(-6). What is a(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.17 - -0.83. Let k(j) = -2*j**2 + 3*j - 4. Let n be k(-5). Let r = -133\/2 - n. Which is the third smallest value? (a) 2\/11 (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1612759573.1 rounded to the nearest one million?\nAnswer: -1613000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -133*d*q**3 + 11581*d*q**2 + 1027739073*d + 3*q wrt q?\nAnswer: -399*d*q**2 + 23162*d*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert f51dc (base 16) to base 4.\nAnswer: 3311013130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z = -85 - 91. Let q(t) be the third derivative of -t**6\/120 - 2*t**5\/15 - 7*t**4\/24 + 4*t**3\/3 - t**2. Does 4 divide q(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (13*1)\/((-12)\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 11*p + 14. Let l be f(10). Suppose -4*j + 3 = -9. Suppose v + j*m = 14, 5*v - m = 3*m - 6. Solve -2*s + 2 = 0, -s = -v*n + l + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -28*b + 14. Let q(t) be the second derivative of 19*t**3\/2 - 29*t**2\/2 + 18*t. Let c(f) = 2*q(f) + 5*x(f). What is the tens digit of c(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5235 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a - 2*a - 3*a)*(-4 + 5 + 1) - a - 3*a + 2*a + 1418*a - 159 + 475 - 161 - 161 in the form d + c*a and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56202, -112365, -168466, -224475, -280362, -336097?\nAnswer: -391650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/7 + 192*v\/7 + 3072\/7.\nAnswer: 3*(v + 32)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -322123 (base 5) to base 3\nAnswer: -112222012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -2, -1 in descending order.\nAnswer: 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317*l + 15 = -320*l. Let o(h) = -5*h + 1. Let u be o(2). Let f = l - u. Solve 0 = -f*k + k + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**2 + 640*d - 636 = 0.\nAnswer: 1, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 21*m**3 + m**2 - 3*m - 1. Let r(d) = 22*d**3 + 2*d**2 - 2*d + 3. Give -2*b(k) + 3*r(k).\nAnswer: 24*k**3 + 4*k**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 67, -5, 2 in descending order.\nAnswer: 67, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, n: 3, c: 5, x: 1, m: 1}. What is prob of picking 1 g, 1 m, and 2 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (608\/24)\/((-1)\/(-6)). Suppose 4*c = 4*l + n, c + c - 61 = -3*l. Suppose 2*v + 3*v = c. Solve -5*m = 18 + v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6459, -24100, -53501, -94662, -147583?\n\"Answer: -5880*n**2 - n - 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.774 and -0.666.\nAnswer: 5.843484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 24 = -3*n, -n - 32*h + 37*h + 22 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -3*k - m, -14*k = -35*m + 30*m - 393 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 3:13 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 3, 3\/4, 1\/131, -3 in descending order.\nAnswer: 3, 3\/4, 0.01, 1\/131, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - -0.3. Let l be 2\/(-7) - 48\/126. Sort m, l, 0, -2.5 in decreasing order.\nAnswer: m, 0, l, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 8*b - 6. Suppose 2*g - 11 = 3. Determine q(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1303 - 123210?\nAnswer: -121301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/15 (b) -8 (c) 2 (d) -3\/7 (e) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + sqrt(567) + -1 + 4)**2 - (2*(sqrt(567) + 1 + 5) + -4).\nAnswer: 306*sqrt(7) + 1801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -65765 times -150.4\nAnswer: 9891056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/3596 and -31\/1422.\nAnswer: 2556756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 10 - 3 - 10\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -20. Suppose -10 = 5*n + x*z + 8, 0 = n - 3*z - 10. Let r be n\/6 + (-3)\/(-9). Solve 3*i - i + 8 = r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -36. Let r = a - -7. Suppose -56 = -3*z - 4*t + 187, z = r*t + 68. List the prime factors of z.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/t**(4\/9))*t)*t)**(-2\/13)*t**2*t*t**(-5))**(16\/5) assuming t is positive.\nAnswer: t**(-3904\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4))**(-12) assuming s is positive.\nAnswer: s**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-132)*11*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1415 - 1182 = -27*g - 1630 for g.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**2 - 41*m**5 + 32*m**5 + 4*m**2 wrt m.\nAnswer: -540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**11)\/h)\/h)**18*(h**5)**39 assuming h is positive.\nAnswer: h**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -28?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {p: 1, m: 2, y: 2, q: 1, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 48926232.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 225, 415, 605, 795, 985, 1175?\n\"Answer: 190*f + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - k - 4, -2*k = 4*i - 8*i + 8. Which is the second biggest value? (a) -28 (b) 4 (c) i (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -66*u + 1771 wrt u?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19534236*i**2 + 79665018*i wrt i?\nAnswer: -39068472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1 (c) -10 (d) 50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06764 - 33676828909.\nAnswer: -33676828908.93236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)\/(h**(2\/3)*h))**(-6\/13)\/(((h\/(h*h**(-6)*h))\/h**(-5))\/(h**(-1)\/h)**(-13\/2)) assuming h is positive.\nAnswer: h**(55\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1674554617, -1674554616, -1674554615, -1674554614, -1674554613, -1674554612?\nAnswer: -1674554611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2 - 57*m + 472. Calculate l(9).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f - 225. Determine w(33).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2. Let c(q) = 3*q + 972. Give v(c(x)).\nAnswer: 9*x**2 + 5832*x + 944784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -1028*c + 103. List the prime factors of j(-2).\nAnswer: 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/5, 38\/7, 0.4, -453?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 683401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 8 = -3. Let c = -356 - -365. What is the lowest common multiple of l and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -125 - -81. Let g = y - -23. Calculate the remainder when (-825)\/g + 2\/(-7) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 291504196?\nAnswer: -291504195.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11439917213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0946681 to 3 dps.\nAnswer: -0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2 - 11*f**2 - 8*f - 3 + 0 - 2. Let u be x(-1). Sort -4, u, 0, -2 in increasing order.\nAnswer: u, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1269 * 19\nAnswer: -24111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/25)\/o*o*o\/(o\/(((o**0\/o)\/o)\/o)))\/(o\/(o*(o*o**(2\/7)\/o*o*o)\/o))**(-1\/11))**(8\/5) assuming o is positive.\nAnswer: o**(-49232\/9625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 695 divide 2013943200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 42*i**2 - 11*i**3 - 42*i**2 + 2*i + 1. Let o be u(-1). Let d be (-2)\/5*o\/17. Is d equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15856203*h**2 + 55176*h + 48.\nAnswer: 3*(2299*h + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-720)\/(-1760)*16\/(-6).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1279750?\nAnswer: 2, 5, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91937\/16 + 5740. Let v = 4951\/5 + -29281\/30. Calculate the common denominator of j and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1453 by 304.\nAnswer: 1453\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 449.\nAnswer: 21\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 445181801 a multiple of 470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28\/11 in 9, 5, 6\/59, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2325429 at most as big as -2325397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - 7*f + 81. Let x(o) = -4*o**2 + 12*o - 160. What is -6*x(g) - 11*y(g)?\nAnswer: 2*g**2 + 5*g + 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from {i: 1, z: 1, h: 1, d: 4, e: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x + 3*x + 2*x + (20 + 6 + 17)*(2*x - 3*x + 3*x).\nAnswer: 85*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 430875 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3311508 is divided by 34139?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04226 + 2.13686. Round t to 1 decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/3 + 1)\/((-718)\/(-1077)). Solve -5 + 0 = -o, 0 = u*g + 3*o + 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-3\/2))\/g**(-11))\/(g**(-2\/15))**7 assuming g is positive.\nAnswer: g**(433\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a - 6a?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**2 + 2 + h**2 + h + 5*h**2. Let z be t(-3). Suppose 3*d = -5*l + z + 549, 5*d = 3*l + 1067. What are the prime factors of d?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353031834.\nAnswer: 2, 3, 53, 269, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -21*d**2 - 3003*d + 15. Let w(k) = -10*k**2 - 1503*k + 7. Let c(t) = 7*b(t) - 15*w(t). Factor c(r).\nAnswer: 3*r*(r + 508)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 2*h**2 + 2*h. Let z be k(3). Let a be ((-1038)\/15)\/(z\/15). Find the common denominator of -21\/22 and 2\/7 + a\/(-84).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/56 and 11\/3136?\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 12 = -4*v - 10, 2*t = 2*v + 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 5*b = 3 - 7 + 16, 18*a + 3*b - 129 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 3*d - 2*q - 13, 2*d + 2*q + 8 = 0. Let a be -21*(8\/(-6) - -1). Solve -4*k + a + d = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i**(2\/5)\/i)*i*i*i**(1\/7))\/((i*i\/(i*i*i**(-1\/4)\/i*i*i*i))\/i**(1\/4))*((i*(i*i**(-7)\/i*i)\/i*i*i*i*i)\/(i*i\/i**14))**(-2\/37) assuming i is positive.\nAnswer: i**(8032\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34056 and 137?\nAnswer: 4665672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-2)\/2*(-3)\/15\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13467914 and 101.048?\nAnswer: 13468015.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 0 + 1\/6*w**3 + w + 1\/40*w**5 - 1\/12*w**4 + 0*w**2 - 1\/360*w**6. Let b(y) be the second derivative of l(y). Factor b(v).\nAnswer: -(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000101100110001111001 - 0?\nAnswer: 101000101100110001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2903 - 2903.5. Put -0.2, n, 0.089, -2 in ascending order.\nAnswer: -2, n, -0.2, 0.089","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -230 - -230.3. Which is the nearest to -15? (a) -0.3 (b) o (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q - 3. Let u be o(2). Let y(n) = 5*n**2 - 19*n - 8. Let c(d) = -d**2 + d. Let g(t) = 6*c(t) + y(t). What is the tens digit of g(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + l - 34 = 0, -5061*l + 5056*l - 125 = 24*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -201790\/23 + 8775. Let q = 1191\/230 + w. Find the common denominator of q and -115\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 240 = 33. Let d(l) = l**3 - 8*l**2 - 7*l + 13. Give d(o).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 5 - 2*z + 3 - 4 + 10. Let w be r(0). Let y(m) = m**2 + 3*m + 6. Let h be y(-5). What is the highest common factor of h and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.1 - 1.1. Put 4, -1\/8, q in increasing order.\nAnswer: -1\/8, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 99\/(-5) - 2\/10. Let b be (-7 - -1)\/(6\/32). Let u = y - b. What is the remainder when u is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -129491805*x + 71181585 wrt x?\nAnswer: -129491805","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -4818846\nAnswer: -4818846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/283626 and 5\/2023649.\nAnswer: 254979774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = t + 3*p, 35*p - 10 = 5*t + 32*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 81 = -2*o. Let z(r) be the first derivative of r**3\/3 + 3*r**2\/2 - r + 4. Let w be z(-4). What is the greatest common factor of w and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -3 (b) -4\/3 (c) 5\/121 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 133 - 132. Suppose 3*t - 25 + v = 0. Let w = -2 - -4. What is the lowest common multiple of t and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -0.88565?\nAnswer: -4.11435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18776801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 - -28760?\nAnswer: 28772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 924.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 7*o**2 + 4. Suppose -y + 4 = -3. Calculate the smallest common multiple of 6 and q(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7025 and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 466 + -1272. List the prime factors of o\/(-10) - ((-378)\/(-30) + -13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65520 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 24, 41, 64?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 v, and 1 a when four letters picked without replacement from avvjapvpvaj.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 2558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7879073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**2 + k**2 + k**2 + (4*k**2 - 4*k**2 + 2*k**2)*(-2 - 7 - 1) to i*k + p + g*k**2 and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 149418185 to the power of 1\/3, to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3640.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 123*d**2 - 22. Let x(l) = -28*l. Determine w(x(v)).\nAnswer: 96432*v**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -14. Which is the third smallest value? (a) -0.5 (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**5 - 3*x**3 + 1918*x**2 + 102819*x - 1.\nAnswer: 40*x**3 - 18*x + 3836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 170 (b) -3 (c) -0.1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**3*f*u + 106026*d**3*f - d**3*u + 7*d**3 + d**2*f*u + 4*d**2 - 16833*d*f*u - 2*d*u - 8*d - f*u wrt d.\nAnswer: -6*f*u + 636156*f - 6*u + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2577*b**3 - 3644 + 3644 + (6*b - 2*b - 2*b)*(-4*b**2 + b**2 + b**2) to the form q*b**2 + a*b + d + o*b**3 and give o.\nAnswer: 2573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321*z + 5491 = -22436. What is the nearest to -2 in z, -3, -1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 + 0 + 0 + 506480*k.\nAnswer: 7*k**2 + 506480*k","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 36*n**3 - 1045*n**2 + 22*n + 199. Calculate l(29).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.966 + -0.034. What is the nearest to 0 in -0.5, j, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*r - 2*r - 6, 5*y - 5*r = 30. Solve f = -y*f - 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, w: 7}. Give prob of picking 2 w.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + t - 11 = 0, z - 10 = -0*z - 2*t. Let o(p) = -3*p + 2. Let s(y) = 3*y - 2. What is z*s(d) + 3*o(d)?\nAnswer: 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 7*r**2 - 8*r - 7. Let s be n(-8). Let q = -1 - s. Suppose 4*w - q*w + 6 = 0. Are 3 and w nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 174, 372, 606, 894, 1254, 1704?\n\"Answer: 3*y**3 + 177*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 443, -331, -1133, -1957, -2797, -3647, -4501?\n\"Answer: h**3 - 20*h**2 - 721*h + 1183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35763817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 1, 4, -0.3, -25 in increasing order.\nAnswer: -25, -0.3, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, q: 1}. What is prob of sequence qz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28348248*u**3 - 58*u**2 - 86554*u wrt u.\nAnswer: -170089488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 7*a - 4. Let m(g) = -g**2 - 1. Determine 5*m(f) - z(f).\nAnswer: -4*f**2 - 7*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -15, 4, -1, -39, -3 in decreasing order.\nAnswer: 4, -1, -2, -3, -15, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 2*s + 2310. Suppose 0 = -p - a + s + 614, -1978 = -2*p + 3*a. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -8*w - 10. Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5944170.\nAnswer: 2, 3, 5, 198139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 301*t**5\/20 + 1271*t**4\/24 + 6461*t**2. Find the second derivative of j(p) wrt p.\nAnswer: 1806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3*q - 8. Suppose -q*y + 21 = 5. Solve -29 = 3*g - 4*z, -g = -y*g + 5*z - 34 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u - 71 + 36 - 12)*(5*u**2 - 2*u**2 - 4*u**2 + (u - 2*u + 0*u)*(-4*u + 4*u + u)) to x*u**2 + p*u + q*u**3 + s and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = 22*i - 22260. Suppose -4*q - 4*y - 185 = 1111, 4*y - 993 = 3*q. Let k = q + i. Is k 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 9:02 AM and 6:53 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*(sqrt(120) + (sqrt(120) - -2*sqrt(120))))\/sqrt(12))\/(-5*sqrt(48)\/sqrt(6))*-5.\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*d + 177*d = -24426. Does 69 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79194 and 804?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -6691042?\nAnswer: -53528336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4909?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.0456 + -12.9964. Let h = p - -14. Round h to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -19\/23.\nAnswer: -19\/23, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*sqrt(99)*-3 - sqrt(99))\/(sqrt(9) - (sqrt(9) + sqrt(9) + sqrt(9) + sqrt(99)\/(sqrt(11) + sqrt(33)\/sqrt(3))))*-2*-4.\nAnswer: 64*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 25 = -2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (2*sqrt(3087))\/((sqrt(90)\/sqrt(2))\/sqrt(5)))**2.\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 695, 3, 1, 5 in increasing order.\nAnswer: 1, 3, 5, 695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r + 16. Let m be (-9)\/(-6)*(r + -2). Suppose 3*x = m + 33. What is the smallest common multiple of x and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6022?\nAnswer: 2, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 3*k - 27. Give w(-8).\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 54*r**2 + 430*r - 105. Give y(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 13) in base 2?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyh when three letters picked without replacement from fhfwyps?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k - 2 + 2)*(561 + 568 + 3*k - 1123) + (-4*k + 2*k + 3*k)*(2*k - 3*k + 3*k) + 0*k**2 + 2*k**2 + 0*k**2 in the form p*k**2 + m + s*k and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, g: 15}. What is prob of sequence wgww?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.43947569794 and -0.0436.\nAnswer: 0.39587569794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5101 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 + 1578 - 28*x**2 - 400*x - 64*x.\nAnswer: -25*x**2 - 464*x + 1578","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 3*m + 34 = 0, -4*m - 2892942 = 3*z - 2892997 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42289?\nAnswer: 13, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 - 4 - 3*w**2 - 9*w**2 + 4 in the form x + n*w**2 + p*w and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -223 + 232. Let c(a) = -2*a + u*a - 10*a. Suppose 0 = 3*d + 2*r + 1, -2*d = -r - 4 - 0. Determine c(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*d = -260*d - 446 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -222414764, -444829527, -667244290, -889659053, -1112073816, -1334488579?\n\"Answer: -222414763*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (1 + 0 - 4) - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (33*96\/1320)\/((-12)\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-54))\/((-5)\/(-135))*(-10)\/(-32).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255?\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -659, -660, -661, -662, -663, -664?\nAnswer: -665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -388685, -388693, -388705, -388721, -388741, -388765?\n\"Answer: -2*q**2 - 2*q - 388681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3336, -3329, -3318, -3303, -3284, -3261, -3234?\n\"Answer: 2*g**2 + g - 3339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76 - -67 - (-1 + (5 - 3) + -4 + 34).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 133, 74, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -405800 > -405805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -104. Suppose 23*q - 24*q + d = 0. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183887 is divided by 3535.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258665 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3\/2, 3, -1\/5.\nAnswer: -3\/2, -1\/5, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 7*q + 5*a + 38, 4*a + 28 = -3*q. Let o be (16\/q)\/((-10)\/(-3)). What is the third smallest value in o, -4, -2, -1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.12 - 0.88. Let z = -13.19 + 0.19. Is m != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -3, 1\/2, 0.2, -17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6793496l in millilitres?\nAnswer: 679.3496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 17 - 64 = -39 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -42*((-20)\/8 + 2). Suppose -4*o + 3*d + 18 = 0, -1 = -4*o + 5*d + q. Let w(m) = 4*m**2 + 3 - 3 - o*m**2. Let v(x) = 6*x**2. Determine v(w(g)).\nAnswer: 6*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 1252, -25, 5, 2 in ascending order.\nAnswer: -25, -4, -2, 2, 5, 1252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/7 + 750758*f**2\/7 - 1501522*f\/7 + 750762\/7.\nAnswer: 2*(f - 1)**2*(f + 375381)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 - -78. Let x = 1.3 - -2.7. Put 1\/4, k, x in descending order.\nAnswer: x, k, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 486 (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12159842 and 10755.\nAnswer: 547192890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 63*b**5\/20 - 55*b**4\/12 - 121*b - 130. Let k(q) be the first derivative of s(q). Find the third derivative of k(y) wrt y.\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10.33405 and 0.01.\nAnswer: 10.34405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 36, 172145 in increasing order.\nAnswer: 2, 7, 36, 172145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -458535 divided by -35.\nAnswer: 13101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a. Let r(n) = 13*n**2 - 35103*n + 2. Give r(k(d)).\nAnswer: 208*d**2 - 140412*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a - -8a2c?\nAnswer: 8a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389 - 451 = -14*r. Let t(q) = 56*q + r*q + 42*q**2 - 116*q. Let j(x) = -x**2 + x - x. Calculate j(t(d)).\nAnswer: -1764*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l - 2. What is the smallest common multiple of h(-1) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 45 = -4*d, 5*r + 8*d - 30 = 7*d. Suppose 1284 = r*n - 61. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*c*i*o - 3*c*o - 55*c - 2*i*o + 7414*i + 5*o + 2 wrt i.\nAnswer: 6*c*o - 2*o + 7414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 91 = 23*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 2*m**2 - 3*m + 8. What is f(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqvvqxwqwvzq. What is prob of picking 1 v and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -33. Suppose 4*y - f*q - 544 = 0, 5*q = q. What is the greatest common divisor of y and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**6\/120 + 2*o**3\/3 - 2. Let u(b) be the third derivative of m(b). Let i(w) = 17*w. Calculate u(i(r)).\nAnswer: -867*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2018 + -1958. Solve 0 = 5*x - 40 + d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30854 is divided by 77?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -575*k + 757. Calculate p(6).\nAnswer: -2693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -2 (b) 1908 (c) 2\/43 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 9*b**2 + 8*b + 12. Let y be h(9). Let w be -3*((-42)\/(-9))\/(-1). What is the highest common factor of y and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**5\/9 + 7304*h**4\/9 - 7118332*h**3\/9 + 1431359152*h**2\/9 = 0.\nAnswer: -2572, 0, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -36. Let z be (-12)\/d + -2 - 38\/(-10). Determine x so that 1\/2 + 1\/2*x - 1\/2*x**z - 1\/2*x**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 724182\/55704 - (-8)\/(80\/(-130)). Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, l: 5}. Give prob of sequence jj.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*z**2 - 106\/5 + 42*z.\nAnswer: 2*(z + 53)*(2*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfgkfsss. What is prob of sequence ksfs?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -881 + 877. Put k, -126, -3, -5 in increasing order.\nAnswer: -126, -5, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 10106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 12*g**3 + 5*g**2 - 6*g + 8. Let p be y(4). What is the third derivative of -832*k**3 - 37*k**6 + 42*k**2 + p*k**3 wrt k?\nAnswer: -4440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 5*u + 8. Let y be a(7). Let w(j) be the third derivative of 2*j**2 + 1\/60*j**5 + 0 + 1\/4*j**4 + 0*j + j**3. Calculate w(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4 + 4, -2*i = 5*y - 126. Let o = 68 - i. Suppose -2*t = 4*q - 8, -3*t = -q - 6 - 27. Calculate the greatest common factor of o and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 6:24 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 176 = 2*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyggyyyyyyyyyyyyyg. What is prob of picking 2 y and 2 g?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/20 and (1 - (-24832)\/40)\/86 + -7.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1*(1 + sqrt(1584)) + sqrt(1584)*-2 + 3)**2 + -4 + (sqrt(704) + 0)*-3)*-4.\nAnswer: -38304 + 2880*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3131221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 36. Let d be 5\/15 - i\/(-6). Suppose -5*m + 3543 = 4*o, d*o + 2*m = 1281 + 491. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.1, 1\/354, -0.2, 217.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**6\/20 + 9*l**5\/20 + 11*l**4\/8 + 3*l**3\/2 + 8*l. Factor t(w).\nAnswer: 3*w*(w + 1)*(w + 2)*(w + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26300937 is divided by 443.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -252 and 0.14.\nAnswer: -251.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 9. Let v = u + 7. What is the smallest common multiple of v and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + (-28)\/(-2 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 5. Let u(d) = d**3 - d**2 + 1. Let p(x) = 5*x**3 - 3*x**2 - 2*x + 6. Let w(g) = -p(g) + 6*u(g). Let j be w(2). Give b(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*k + 226 = 5*m, -m + 4*k + 13*k + 20 = -6*k + 22*k for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305363901*t - 305363901*t + 2*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17671, 1, 4 in increasing order.\nAnswer: 1, 4, 17671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1049, -3081, -6467, -11207, -17301, -24749?\n\"Answer: -677*i**2 - i - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 586*i - 2187*i = 59237 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2745?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5 and -0.03.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(3*sqrt(32) - sqrt(8) - sqrt(8)) + ((sqrt(33)\/sqrt(3) - sqrt(11)) + -4 - (2*sqrt(132))\/sqrt(12)).\nAnswer: -7*sqrt(11)\/4 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/15)\/p**5)**(-2\/7))**(9\/7) assuming p is positive.\nAnswer: p**(438\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-27)\/10*24825\/(-10940). Let g = 4482 + -2451655\/547. Let t = m + g. What is the common denominator of 43\/7 and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-24)*m*m*m**(-4\/5)*m**0*(m*m**(3\/10)*m**(-1\/3)\/m*m*m)**(-2\/23) assuming m is positive.\nAnswer: m**(1727\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-3)\/12 - (-3573)\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780.7701 weeks in minutes?\nAnswer: 7870162.608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.2 + 9.2. Which is the nearest to n? (a) -0.1 (b) 3 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 30)*(3*o - o + 0*o)*(1 + 1 - 1) in the form k*o + s and give k.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45782 and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45\/(-10)*(-80)\/3.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 286 + -284. Let w(t) be the third derivative of -1\/40*t**5 + 0*t + 0 + 0*t**3 + 3*t**h - 1\/40*t**6 + 1\/16*t**4. Factor w(x).\nAnswer: -3*x*(x + 1)*(2*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23737 = -10854*a + 1790*a - 4612 + 17131 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 3\/20, 245, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1091, 1092, 1105, 1136, 1191, 1276?\nAnswer: 1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*g**3*w - 4*g**3 - 6576*g**2*w + 46748*g wrt w?\nAnswer: 8*g**3 - 6576*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 214 (base 5) to base 12\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/3 + 77587*x\/3 + 77588\/3 = 0. What is x?\nAnswer: -1, 77588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157329.\nAnswer: 3, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 29*y - 2*y**3 - 2*y**2 + 46*y**4 - 95*y**4 + 48*y**4 as k*y**2 + u*y**3 + r + b*y + x*y**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s**3 + 9*s**3 + 6*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 6. Let x(h) = h**2 + 3*h + 1. Let p be x(o). Let n = 17 - p. Solve 0 = 4*k + 4*f - n, -4*k - f + 6 = f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, a: 3, n: 4, h: 1, u: 4}. Give prob of picking 1 w and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 6*j**2 - 7*j - 2. Is m(-6) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27488, -27272, -27056?\nAnswer: -26840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3320916 days in hours?\nAnswer: 7.9701984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**3 - 16194*h**2 + 32409*h + 48600 = 0.\nAnswer: -5400, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5335575551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (-3 + -1 - -14). Let n(o) = -3 + 4 - 4*o + 0*o. Let w be 5\/4*(-18 - -22). Let i(h) = 3*h - 1. Calculate t*i(d) + w*n(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 31. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -81*c. Let l(r) = 61*r - 2. Determine z(l(x)).\nAnswer: -4941*x + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 7. Let b = o - 5. Let l = -944 + 943.5. Sort -5, b, l in descending order.\nAnswer: b, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -44276*j + 265974. Calculate y(6).\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -56165 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27721 <= 27718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*n - n, 0 = 3*b - 5*n - 8. Suppose -4*w + 13 = b. Does 4\/3 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49\/12570 - -56727773\/163410. Let i = z + -347. Let y be (-4)\/6 - (-3)\/(-9). Is i smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 + 4454*n**2 + 76274*n - 381. Calculate i(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 9, 13*m + 2*y = 10*m + 222. Let v be (-54)\/243 + m\/18. Let i = 10 - 4. Solve 0 = -v*j + j - i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -17. Suppose 3*k - j*k = 8, 0 = -2*c - 4*k - 38. Let g = c - -21. What is the remainder when 27 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-2 - -1) - (-1 + 14). Let w be (-2)\/2 + -2*8\/t. Which is the closest to -0.3? (a) w (b) -2\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = -28*m + 164. Let u = -1 + 1. Solve p + 17 = 3*v, m*v - 18 + u = -p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**3 + 4*f**3 + 5*f**3 + (f**2 - 3*f**2 + f**2)*(4 - 4 + 1)*(3*f - 2*f - 4*f) to the form c*f**2 + a*f**3 + l + h*f and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 762?\nAnswer: 5\/762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134574527?\nAnswer: 179, 751813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.2 (b) -2\/73 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 - 90 = -4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4 - 238*o**3 + 1455*o**2 - 2196*o = 0. Calculate o.\nAnswer: -244, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849 is divided by 401.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -377*f**2 + 6*f + 6. Let b(y) = -2*y. Give b(s(j)).\nAnswer: 754*j**2 - 12*j - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 170*y - 39*y + 10*y to p*y + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 316\/5 + -63. Let k = -95 - -93. What is the closest to k in p, 3, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-8))\/(14\/(-28))*6\/1659.\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/6 + (-887060)\/(-204680). Which is greater: 1\/3 or i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17818 and 15649640?\nAnswer: 923328760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110982 + 130512 = -310*v for v.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 45*b + 70. What is the tens digit of y(39)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -3. Let y(r) = -r**2 + r + 1. Let j be y(2). Sort a, j, -4.\nAnswer: -4, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3053120 (base 6) to base 3.\nAnswer: -21110211210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1773\/14 - -1779\/14. Solve 0 + 24\/7*q - t*q**2 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from veutuevemu.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -1, 0, 6, 276 in decreasing order.\nAnswer: 276, 6, 0, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 10 = 11*j - 7*j, -s + 16 = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 39386*g**3 + 30693*g**3.\nAnswer: 70079*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1743029 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -105120 (base 6) in base 10?\nAnswer: -8904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-20) - 2\/(-8). Let g be 18\/(-40) + 2\/8. Put -4, s, g in decreasing order.\nAnswer: s, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*f - 288 = 79*f - 46*f. Sort f, 88, -4, 2, 0 in decreasing order.\nAnswer: 88, 2, 0, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 plus -29136.9789?\nAnswer: -29117.9789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*c - 32 = 5*c, -d - 5*c - 24 = 0. What is the hundreds digit of d\/(-22) - -28*(-160)\/(-44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 4)\/(-2) - -69. Suppose 2*o = 3*i + 35, 0 = -4*o + 4*i + 60. Calculate the highest common divisor of o and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - 1904\/(-252))\/(5\/12). Factor 0*w**3 + 2\/3*w**5 + r*w**4 + 0 - 4\/3*w**2 - 2\/3*w.\nAnswer: 2*w*(w - 1)*(w + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbddbbddbbdbdddbdb?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 11. Let k be 4 - f*2*-3. What is the highest common divisor of 40 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2402561555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4535491, 4535493, 4535495, 4535497, 4535499, 4535501?\nAnswer: 4535503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34374 is divided by 699.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1432487 millilitres?\nAnswer: 0.0001432487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -y + 2*w - 1, 4*w = -4*y - 12. What is the second smallest value in 1, 29, 2, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0559845 and 743.656.\nAnswer: 743.7119845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173379, 346950, 520715, 694674, 868827, 1043174?\nAnswer: 1217715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**3\/3 - 11*i**2\/2 + i + 196. Calculate u(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1129009667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*q - q + 57*q + 25)*(-1 - 2 + 4).\nAnswer: 138*q + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 55?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6102287, -6102276, -6102265, -6102254?\n\"Answer: 11*h - 6102298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-7)*b)\/(b*b\/(b\/(((((b\/(b**(2\/5)\/b))\/b*b)\/b)\/b*b)\/b))))**(-41)\/((b**(2\/3))**(-8\/5)*(b\/(b*b**(-4)\/b))\/b**1) assuming b is positive.\nAnswer: b**(803\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i = -s + 13, -4*s + 69 = 5*i. Let u(y) = -y + 48. Let o be u(0). Calculate the highest common divisor of o and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 221*v**5 + 11947*v wrt v?\nAnswer: 4420*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 5:07 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-7 + (3 + -7 - -7))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1334687316?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**2\/7 + 44*v\/7 - 240\/7 = 0. What is v?\nAnswer: -15, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4724 + 3019775987\nAnswer: 3019771263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 14. Suppose 5*n + 4*f - 14 = 44, t = 3*n + 4*f. Let o = n + -5. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/((-15)\/45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 898802*d**2 - 10*d - 43. Let a be r(-8). Let l be 2\/((-2)\/40*-4). Suppose -12476635 - a = l*f. What is f rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1139 and 306.\nAnswer: 348534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, q: 2, n: 1, c: 2}. Give prob of picking 1 z, 1 n, and 2 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3057469 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 + 98*g**2 + 423*g + 6319. Determine i(54).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6411?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-961)\/(-6324) - ((-602)\/42 - -14)\/(-1 + -1)?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*u = 139, -189*h + 50 = -188*h + 3*u. What is the remainder when h is divided by (-109)\/(-4) + 1\/(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (120\/90*(-13)\/(-4))\/(((-598)\/390)\/(-23))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24436 (base 14) to base 10.\nAnswer: 88640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 5*s - 10, s - 20 = -g - 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/9 + 2\/(-6). Let z(b) = 4*b**2 + 1. Let s be z(c). Let m = 14 + 21. Calculate the greatest common divisor of s and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1333 - -1522.9. Let b = x - 171. Round b to 0 dps.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j + 1. Let r(g) = -1. Let p(k) = -c(k) + 4*r(k). Let v(t) = -5*t - 9. Let w(b) = 7*p(b) - 4*v(b). Calculate w(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/114)\/(20\/18). Let y = o - -1591\/190. Calculate the common denominator of y and (-2)\/(-7) - (-281)\/70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -4 - (-7 - 4)) + -9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 3*o + 9. Suppose 7*s - 6*s = o. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -592, -611, -668, -781, -968, -1247, -1636?\nAnswer: -2153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4 - 11486*a**3 - 43972236*a**2 - 56093908066*a + 56137891789 = 0. Calculate a.\nAnswer: -3829, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -7. Let c(p) = -77*p + 8. Let k be c(3). Let v = k + 227. Solve 4*d + 10 = 2*a, -9 = -d + v*d - m*a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - t - t - 3*t - t + 3*t - 4 + 4 + 2*t + (1 + 2 - 4)*(-3*t + 0*t + 4*t) + 0 - 2*t + 0 + 2 + 3*t - 2.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 3774667?\nAnswer: -377466a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.1, 2\/11, -31.\nAnswer: -31, -3, -0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/2 - 33*y**3\/2 + 449*y**2\/2 - 1515*y\/2 + 550.\nAnswer: -(y - 5)**2*(y - 1)*(y + 44)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45714 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-2))\/(153\/204). Solve -2*h - 3*u = -12 - 2, -24 = -5*h - n*u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w + 7*w - 12*w**2)*(-27*w - 12*w**2 + 27*w).\nAnswer: 144*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50 + -26 - -55) + (4 - -1 - 0) + 2.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29\/5 of a tonne?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/2 and (-6)\/9 - 196\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1015 at least 14\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98956, -98806, -98658, -98512, -98368, -98226, -98086?\nAnswer: -97948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7405767*h*i**3 + 2*i**3 + i**2 + 51193*i wrt h.\nAnswer: -7405767*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 2560.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 299337 to the power of 1\/2, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -508675 greater than 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3485090, 3485097, 3485106, 3485117, 3485130, 3485145, 3485162?\nAnswer: 3485181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715 = 146*g + 1299 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**3 + 1\/4*w**4 + 112*w - 170 + 0*w**2. Differentiate t(z) with respect to z.\nAnswer: 3*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 11507*w + 11. Let n(a) = 3*a. Determine r(n(p)).\nAnswer: 34521*p + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24589729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 20*s - 6*s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001295007 rounded to 5 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 12*n**2 - 17*n - 36. Let w be z(17). Calculate the greatest common divisor of w and 392.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 11*i + 4. Let m be q(3). Let x = 188\/3 + -62. Which is the smallest value? (a) 0.5 (b) x (c) m (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/45693726 and 32\/39?\nAnswer: 45693726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 19*a**2 + 416*a. What is s(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 11591 = -5*o, 2*i - 7018 = -3*o - 1217. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 12 = 2*x. Is (-1137)\/x - (-15)\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 463\/2 - 231. Let p(v) be the third derivative of 0*v - 2\/35*v**7 - 1\/8*v**6 - 4*v**2 + t*v**3 + 0 + 3\/20*v**5 + 5\/8*v**4. Solve p(g) = 0 for g.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**2)\/k)**(-27) assuming k is positive.\nAnswer: k**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*b, -15 = -3*b + 5*h + 4. Let y be (-6)\/6*(b + -1). Let m be 4\/(-14) + y\/(-7). Let a(w) = -w**2 + 7. Give a(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4597, -18295, -41123, -73075, -114145, -164327, -223615, -292003?\n\"Answer: s**3 - 4571*s**2 + 8*s - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - w**2)*(198 + 518*w - 65 - 509*w) as k + n*w**2 + q*w**3 + p*w and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-9)*(-1)\/(-6). Let r be (-46)\/(-115) + 2\/20. Let v = 7248 - 7248.1. What is the closest to r in 2, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 4:04 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-22)\/77*-7)\/(4\/10). Solve 2*s - 3 = 2*v - 5, 4*v - l = 3*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (5 - 6) - -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/240*-10*-3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d - 8*d**3 - 4*d + (-3*d + d - 4*d)*(-5*d**2 + 4*d**2 - d**2) to f*d + w + r*d**2 + c*d**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0*s + s)*(25 - 25 + 7*s**2) + (0 + 0 + 4*s**2)*(-s + 4*s + 3*s).\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -62*a + 12. Let k be u(-4). Let m(p) = -p**2 + 7*p - 3. Let z be m(5). Let v = z + k. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 - -0.1. Let i = -102.3 + 70. Let r = 32.5 + i. What is the biggest value in q, -0.4, -4\/7, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and (1656\/(-15))\/(((-138)\/(-45))\/(-23)).\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -720 and -721 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2189 + -449. Suppose -2*p + 6*p = -5*o + v, -1044 = -3*o + p. Suppose -a = -3*k - 263, 4*k + o = -2*a + 6*a. What is k rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80*l**5 + 644*l**4 + 4*l - 31180 wrt l.\nAnswer: -1600*l**3 + 7728*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2. Let n(d) = d**2 + 7*d + 12. Let y be n(-6). Suppose -4*w + 2 + y = 0. Let o(j) = 12 - 12 + w*j + 5*j. Calculate l(o(v)).\nAnswer: 98*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 12) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34*q*s**2 - 4*q + 1781*s**2 + 2*s + 1 wrt q?\nAnswer: -34*s**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, l: 1, j: 2, k: 1}. Give prob of sequence sjlk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 7)*(3*g**2 + 2*g**2 - 3*g**2)*(-2*g + 4*g - g) - 56*g - 32*g**3 + 56*g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + ((sqrt(76) - 1*sqrt(76)) + sqrt(76))*5)\/(-4*sqrt(4)*-2) + -3)**2.\nAnswer: -9*sqrt(19)\/2 + 315\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u - 33. Let i be g(-7). Let k = 0 + 5. Let r(l) = -3*l + k - 3 - 4 + 11 - l**i. Calculate r(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - v - 3. Let w be g(-1). What is the tens digit of (-136)\/(-34) + 267 + w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/((3650\/1050)\/73)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/387 and (-1)\/((-36)\/(-1190))*(-26)\/(-910)*-5.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -223, -1\/31, -0.1, 2\/7, 1.\nAnswer: -223, -0.1, -1\/31, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*sqrt(66))\/((sqrt(3) + sqrt(12))*1))\/(5*-1*sqrt(275)*3).\nAnswer: -4*sqrt(2)\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 649549506 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**2 + 3*x - 2. Let f be w(4). Let u be (-328)\/(-6) + 36\/(-54). Let l = u + f. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - -70. Suppose i = -2*h - 0*h + 18, -4*h - i = -c. What is the least common multiple of h and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56\/(-14) + ((-34)\/493 - (-3610)\/203). Determine p so that 52\/7*p + b + 2\/7*p**2 = 0.\nAnswer: -24, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 300. Suppose -266 = 4*c - t. Let b(z) = -z**3 - z**2 - z + 1. Give b(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1025 divided by 1025.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34\/7? (a) -0.3 (b) -8 (c) -3\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*g + 4. Solve -5*b - g*y = -14, 3*y = -2*b + 4*y + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/17)\/(119\/(-34)))\/(63\/(-588)*2)?\nAnswer: 24\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -131, -132, -133, -134, -135?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 times 71.5?\nAnswer: 200.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2279 and 275501?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**5 - 43\/2*n**2 + 0 + 7*n + 1\/6*n**3 + 0*n**4. What is the second derivative of t(q) wrt q?\nAnswer: 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3081 + 3091 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21700341193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 79*s = -64 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/4 - 35*f**3\/2 - 1469*f**2\/4 - 2108*f - 2883.\nAnswer: -(f + 2)*(f + 6)*(f + 31)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70226634 and 8.\nAnswer: 280906536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-35)\/14)\/((-4)\/184). Let a be (w\/(-46))\/((-1)\/(-30)). Which is smaller: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814 not equal to 821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 243 - 241.89. Let n = 1.11 - l. Which is the third smallest value? (a) 3 (b) 6 (c) 0.1 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2\/17 (b) 0 (c) 2 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 492108 (base 10) to base 14.\nAnswer: cb4a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19074328 and 2812?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -6 - -3*(-12)\/18. Let i be u\/(-6)*(-4 - 101\/(-26)). What is the closest to 4 in i, 1.6, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619618 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4866 - 5146 = 70*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 12*i - 9*i - 2, 0 = 4*i + l - 3. Let p = -7 + 2. Let z be (i + p)*15\/(-20). Solve -z*o - 1 - 2 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3293913 divided by 1553?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133664296 is divided by 26732859?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 63*g**5\/4 - g**3\/3 + 355*g**2 - 317*g. What is the first derivative of h(j) wrt j?\nAnswer: 945*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -227*v - 718. What are the prime factors of f(-43)?\nAnswer: 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v + 3. Let q be w(-2). Let k be 3\/((-2)\/(42\/q)). Solve -k = -3*i + 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/21*6 + 5\/(-35). Is r < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35.4 - 35. Which is the third biggest value? (a) -0.5 (b) o (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 57 + 27. Let v be -2 + 1 + 5 + (u - -669). Suppose -4*x = -v + 103. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/((-288)\/(-315))*(-24)\/(-15)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39905, -159631, -359181, -638561, -997777, -1436835, -1955741, -2554501?\nAnswer: -3233121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15943 + 6603. What is s rounded to the nearest one hundred?\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-270)\/42 - (-30)\/70. Is 17549 - (4\/o)\/(6\/18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(70)\/sqrt(7)))\/(2*sqrt(4)\/sqrt(2)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 4 - 4)*(-26 - 124 - 63 + 32).\nAnswer: -181*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4483 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3777 rounded to 2 decimal places?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*u + 5*m, m + 13 = -2*u + 6*m. Let t be 1\/u - 893\/(-342). What is the closest to 2 in t, -0.9, -3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263592*p - 790864*p + 263590*p + 263679*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*h**3 + 76*h**3 - 23*h**3 - 20*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2346*u**3 - 3*u**2 - 1505*u wrt u.\nAnswer: -14076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-6)*((-3402)\/(-4760) + (-21)\/28)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 8*t**2 + 5*t + 9. Let f be l(-7). Suppose 4*k = x - 15, -5*x - 3*k + 29 + f = 0. Calculate the highest common divisor of x and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 + 11)*(1\/(-3) - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.57928 litres to millilitres.\nAnswer: 1579.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**3 + 9*f**2 - 3*f - 1. Let r be m(-3). Solve a + 2*v + r = 2*a, -2*v = -2*a + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighth of a milligram in micrograms?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -12, 6, 60, 162, 324?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*q + 5*q - 2*q)*(0*q + 2*q - 4*q)*(0 + 0 + 2).\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 750 and 650?\nAnswer: 9750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372217.\nAnswer: 31, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**6\/120 - x**5\/15 - 5*x**4\/24 - x**3\/2 - 6*x**2. Determine p(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 45782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154)\/sqrt(112) + sqrt(22) - sqrt(22)) + sqrt(22) + sqrt(242)\/(sqrt(11)*-2))\/(-4*3*sqrt(704)).\nAnswer: -sqrt(2)\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l + 5. Let z(m) = -3*m + 4. Let x = -16 - -7. Let a = x - -5. Give a*u(s) + 5*z(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -962*d + 87. Is m(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r**(-1\/3)))**47*r\/(r*r*r\/(r*r**4*r)*r)*r*r**(1\/10))\/((r*r\/(((r*r\/r**3)\/r)\/r))\/r*r*r*r*r**(-2\/9))**(-1\/17) assuming r is positive.\nAnswer: r**(102763\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 586113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2338*p**4*v - 9*p**4 + 9*p**3*v + p**3 + 8*p**2*v - 10564*p*v wrt p.\nAnswer: 56112*p*v - 216*p + 54*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107 - 152. Let j = 49 + u. Find the first derivative of 17 + 2*n**4 - 5*n**j - n**4 + 8 wrt n.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83898*j**6 + 86016*j**2 wrt j.\nAnswer: -10067760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 89780*c - 628443. Give o(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4664 - 0.1\nAnswer: 4663.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -3\/171743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 330a96 (base 12) in base 6?\nAnswer: 25211110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 1. Let d = -0.01 - 0.39. Put 0.5, d, v in descending order.\nAnswer: v, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1173)\/(-161)*4\/(-6))\/(5*(-8)\/(-280))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*a - 5039985 = 0, 2*u - 5040003 = -0*u - a. What is u rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*w, -5*d = -0*d + 4*w - 1617. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26785, 53565, 80345, 107125?\n\"Answer: 26780*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*v - 14*v - 29*v - 36*v + 187*v - 25*v.\nAnswer: 58*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2934, 2928, 2908, 2868, 2802, 2704, 2568?\nAnswer: 2388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 q when four letters picked without replacement from xxqxqxqqxxxxxqqq?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1377) + (sqrt(1377) - (1 + sqrt(1377))*1) + -4 + sqrt(1377) + 1 + sqrt(1377) + sqrt(1377)) + 4)**2.\nAnswer: -5760*sqrt(17) + 352912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**2 + 13*d - 4456. Let z(v) = v - 6. Give -4*h(s) - 7*z(s).\nAnswer: s - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -5)*((-153)\/36)\/(-17). Factor 1\/4*r**3 - i*r + 0*r**2 + 0.\nAnswer: r*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -1, -2, 5, 26, 67, 134, 233?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -4 + 14 - (-1 - 7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -g - 19, -60*g - 5*d - 28 = -58*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**5 - 60*v**4 + 3195*v**3 + 52490*v**2 + 91800*v = 0 for v.\nAnswer: -20, -17, -2, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 3 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 791 divided by 1015.\nAnswer: 113\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 162821, 326746, 490673, 654602?\n\"Answer: m**2 + 163922*m - 1102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5020 (base 8) to base 6\nAnswer: 15532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3678.172 plus -24?\nAnswer: 3654.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 1, -5\/19, -251?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 14*n + 4. Calculate x(-4).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -41, -3, -1\/4, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 1. Let s(d) = -2*d**3 - d**2. Let n = -3 - -3. Suppose -4*v = i - 7*v + 2, i - 4*v + 3 = n. Let q be s(i). What is l(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.01 (b) -621 (c) -0.5 (d) 0.5 (e) -2 (f) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, f: 1, z: 2}. What is prob of picking 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 103662447 a multiple of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/13 + 2444686*p**2\/13 + 57466904704*p + 5229368539136\/13 = 0. Calculate p.\nAnswer: -611168, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 - -297. Suppose 0*n - m = -5*n. Suppose 5*d - 250 = 4*z, -4*d + 206 - n = 3*z. List the prime factors of d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17479551, 17479550, 17479549, 17479548, 17479547?\nAnswer: 17479546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 11877 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2429828649.\nAnswer: 3, 17, 43, 369331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 6. Let f(z) = -8*z**2 - z - 1. Let s be f(-1). Let x be i(s). Let a(h) = h**2 - 3*h**2 - h**2 + x*h**2. Let b(q) = 5*q**2. What is b(a(k))?\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/11 in -11\/5, 287, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14616087 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000001 (base 2) in base 8?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 948*n**2 + 2. Let u(i) = 2*i. Determine f(u(q)).\nAnswer: 3792*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 6373431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*o - 14*o**2 - 17*o**2 + 23*o + 29*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 11851*x + 450362. What is h(-38)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w*w**(-2\/11)*w)\/w*w*w\/w**(-2\/11))\/(w**(-1\/2)\/w)**(-2\/45))\/((w*w**(-1\/2))**(-10\/9)\/((w*w*w*w**(-4)\/w)\/w**6)) assuming w is positive.\nAnswer: w**(-113\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*f + 5, 2*q + 25 = 4*f + 3*q. Let n be ((-6)\/(-20))\/((-3)\/(-4)). Let g = -63 - -62.6. Which is the biggest value? (a) f (b) n (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((2 - 2) + -71)*1*-1. Suppose 55*t = 56*t - v. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 12 + 1\/4*b**2 + 1\/6*b**3 + 0*b. Determine l, given that t(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {z: 5, g: 1, a: 2, o: 5, n: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 160448714 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((7\/((-875)\/50))\/((-18)\/10))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 - (3 - -6)) + (-1 - -28). Let s be 16\/l - ((-254)\/6 + 0). Suppose 35*c + 1368 = s*c. Is 26 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 532 and 236362?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 - -1 - -55 - 2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**3 - 4070*o**2 - 612955*o - 608880 = 0. Calculate o.\nAnswer: -129, -1, 944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**9\/1512 - j**5\/60 + j**3\/2 + j**2. Let y(z) be the first derivative of q(z). What is the second derivative of y(m) wrt m?\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5564546157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -52, -2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -47178334 + -0.07813\nAnswer: -47178334.07813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 4*x + 35 = 3*c + 8, 0 = -5*x for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 198*a**2*b**3*g**2 + 148*a**2*b**2*g - a**2*b*s + 62*a*b**3*g**2*s - 7*b**3*g - g - 5*s wrt g.\nAnswer: 396*a**2*b**3 + 124*a*b**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -29. Suppose 2*w + 5*q - 56 = 0, -2*q + b*q = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + -19. Let i = 30.28 + r. Let l = i - -0.02. Which is the second smallest value? (a) -0.7 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4)*n*n**(1\/2))\/(((n*n**(1\/4)\/n)\/n*n)\/(n*n*n**0*n)))\/((((n**(-5)\/n)\/n)\/(n*n\/n**(-4)))\/(n**(1\/9)\/n*n\/(n**6*n))) assuming n is positive.\nAnswer: n**(229\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 760?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**12\/n*n**1 assuming n is positive.\nAnswer: n**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 3168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 447096.\nAnswer: -223548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15454 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -66055395 take away 5973?\nAnswer: -66061368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f*s**2 - 11*f*s - 209*f + 29038861*s**2 + 953*s + 1 wrt s.\nAnswer: 2*f + 58077722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 times -19?\nAnswer: -1596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11011083 (base 10) to base 8\nAnswer: -52002013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Let i = 2 + s. What is the second biggest value in 2\/13, i, 1\/9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3204 - -6050. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -t, 4 + 9 = l - 3*t. Let w(b) = -b**2 - 5*b + 2. Let k be (-2)\/((-5)\/((-50)\/4)). Let f be w(k). Calculate the highest common factor of f and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-3 - -2)*1. Let t(b) = 8*b + 6. Let v(h) be the first derivative of -h**2\/2 - h + 7251. Calculate s*t(k) + 5*v(k).\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*r + 111*r = -25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/114*(-2877)\/(-685)*(-60)\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**5\/60 - r**4\/24 - r**3\/6 - r**2 + 1. Let o(t) be the second derivative of h(t). Let l = 267378 - 267379. Give o(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 10:41 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06 and 0.202.\nAnswer: 0.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = 3*p - 21. Let n be (-90)\/27*p\/10. Let l(j) = 2*j**2 - 2*j - 3. Let b be l(-2). Do b and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvvbbbbv. Give prob of picking 2 v and 1 b.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 302427 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*k + 2 = -t, 5*k = -5*t + 15. Suppose 4*v + t = -3*m, -2*m - 5*v = 2 + 1. Put 3, -5, m in increasing order.\nAnswer: -5, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**7\/630 - 17*n**5\/60 + 8*n**2. Let z(b) be the third derivative of d(b). Let x(r) = -2*r**2. What is x(z(l))?\nAnswer: -128*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 5*j - 2190, 0 = -5*g + 3*j - 1745 - 435. What is the units digit of (-1)\/(2166\/g - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*k**2 + 48*k**3 - 74*k**2 + 140*k**2.\nAnswer: 48*k**3 + 121*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -1\/23 (b) 1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -6 (b) 9\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 384248268*a**3*s**2 - a**3*s - 769*a*s**2 - 9*s**2 - 3230 wrt a.\nAnswer: 2305489608*a*s**2 - 6*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nalx when four letters picked without replacement from aanlanxaalnxxan.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-222)*36\/(-12)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12*8\/(-8 - 8). Put 2, 4, m, -2 in decreasing order.\nAnswer: m, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45745 (base 12) to base 14\nAnswer: -25a97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*n + a = 88*n, -2*a = -n - 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/4)\/((-3)\/66). Suppose -5*b = -h + 5. Suppose b = t - 8. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (31276 + 12593 - 1496)*(-2 - 2*p + 2) in the form y*p + s and give y.\nAnswer: -84746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1175, -1171, -1165, -1157, -1147, -1135?\n\"Answer: r**2 + r - 1177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -161\/215 - -32\/215. Which is the third biggest value? (a) 5\/4 (b) -0.3 (c) 2.3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60392 - 301959\/5. Let u = -0.09 - 0.04. Sort v, -0.5, u in increasing order.\nAnswer: -0.5, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1321 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 5*q = -175. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/22013490 and -39\/116?\nAnswer: 1276782420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16500*(-10)\/(-45))\/((-1)\/3171). Round b to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-16)*24\/(-4)*-2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {n: 2, w: 1, v: 1, z: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**3\/3 + 4*j**2 + 36*j + 14. Let u be y(10). Sort u, 1, 3 in decreasing order.\nAnswer: u, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -356, 2, 19, 5 in descending order.\nAnswer: 19, 5, 2, -2, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1986996 and 12463884?\nAnswer: 137102724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12807 and -8096.\nAnswer: 103685472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -141 + 142. Which is greater: t or -2\/81?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 218 - -4?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14613 and -1?\nAnswer: 14613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3290574 divided by 548429\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29119 - 18109. Is 54 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 2*j - j - 2. Let c be m(-3). Suppose y + 0*y = c. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*4*((-198)\/(-12))\/11. Suppose 0 = 2*m - 7*m + 3*t - 86, 3*t + 42 = -3*m. Let y = 26 - m. Calculate the highest common factor of q and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from {f: 1, k: 1, e: 7, o: 8}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6425*a**2*d**3 - a*d**2 + 281*a - 12189*d**3 + 36*d**2 + 2*d - 2 wrt a.\nAnswer: 12850*a*d**3 - d**2 + 281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 457410 a multiple of 474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*y**2 - 3 + 8*y**2 + 3.\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120276381?\nAnswer: 3, 37, 1083571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 490 = 11*i. Calculate the greatest common factor of 658 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 3*d**2 - 1. Let b be a(2). Calculate the remainder when b + 1 + (4 - -16) is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 29272376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007879 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 + 8*q. Let d be n(-4). Let l be (d\/10 + -1)\/((-1)\/(-5)). Solve 4*t + 3 = l*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65339 and 16046438?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*d = 36 - 36 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 12 + 43 = 0. Suppose 10*a + 2 = r*a. Suppose a*p - 2 = -0. Sort -5, -3, -1, p in decreasing order.\nAnswer: p, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 3, z: 7, y: 4, f: 4, k: 1}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7400 (base 8) in base 3?\nAnswer: 12021020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - h**3 + 0*h**3)*(177*h - 37*h + 43*h).\nAnswer: 183*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.09999981 + -1.1. What is t rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1. Let b(d) = -d + 7. Let n(t) = -3*b(t) + 15*u(t). Calculate n(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 10*a**2 - 10*a**2 - 2*a + 4*a**3.\nAnswer: 2*a*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-195)\/(-15) + 115\/(-10). What is the nearest to -1 in -7, -0.09, 4, v?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1 - -3. Let o = -0.049 + -0.151. What is the nearest to n in -0.5, o, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 19*c - 158 = 0. What is the remainder when c is divided by 81?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4087428 is divided by 29619.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9444 and 365955?\nAnswer: 1463820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27 + 11 + 12*f - 2*f wrt f.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39765*a**2*j**5 + 56*a**2*j**3 + 6*a**2*j**2 - a**2 + 420526*a wrt j?\nAnswer: 2385900*a**2*j**2 + 336*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**5\/6 + 1397*t**4\/3 - 7*t**3\/2 - 29347*t**2\/3 - 27940*t\/3 = 0. What is t?\nAnswer: -2794, -4, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -13 + 0*o**2 - 3*o**2 + 2*o**2 - 2*o - 10*o. Let d = 1 - 11. Is p(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-24)*(648\/48 + -13).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -10*j**3\/3 + 2675. Let r(v) = -v + 6. Let w(h) = 2*h - 13. Let y(c) = 13*r(c) + 6*w(c). Calculate a(y(m)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 38 - 34 - (-1 - -4 - 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z + 16 = -13*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/455 + 544\/455. Factor 0 + 2\/5*l + 2\/5*l**4 + v*l**3 + 6\/5*l**2.\nAnswer: 2*l*(l + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178121 is divided by 778?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12357 + 12384. Calculate the remainder when 7909 is divided by l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from nhaaahaw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/51 and -73\/4.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 - 7*x + 7*x + 128660.\nAnswer: -4*x**3 + 128660","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 + -72.12. Let y = l + 72.0031. Let p = -0.001 - y. Round p to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18756*p + 22 + 5 - 18754*p.\nAnswer: 2*p + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/8*(1*-4)\/((-2769)\/(-5538)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24800, 49338, 73876, 98414, 122952?\nAnswer: 147490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 569. Let f(q) = 2*q**2 - 145*q. Calculate u(f(w)).\nAnswer: 2*w**2 - 145*w + 569","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 104 = -3*y + 15*y. Is -103\/23 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28469*u**3 - 29735*u**3 + 7*u**2 - 7*u**2 - 22798*u**3.\nAnswer: -81002*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12 - -23) + 3*-1. Let m = r - 4. Let v(w) = 2*w**2 - 7*w. Let g be v(m). Solve 2*i - 10 = g*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -472, -470, -466, -460, -452, -442, -430?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, 4, 0.256, -0.4, 0.3, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 78, 80, 82, 84?\n\"Answer: 2*n + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vqqvccvqq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7127*w + 601.\nAnswer: -7127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 15, 37 = -2*c + 3*w + 10. Let z be (-1023)\/(-55) + (c\/10 - -1). Calculate the highest common divisor of z and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one fifths of a meter?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -51\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 9 - 11 = 0. Calculate the highest common factor of 55 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 960862?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*5 - (-354)\/(-210)*-3. Let n(o) be the first derivative of 2\/7*o**2 + 9 + 2\/21*o**3 - 1\/7*o**4 + 0*o - r*o**5. Solve n(h) = 0 for h.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/2)\/2)\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3 = -g, g - 6*g + 63 = -c. Let r(m) = 8*m - 33. Calculate the remainder when r(g) is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from mptctmcccp?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 77850512 and 2?\nAnswer: 77850510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.712458 to the nearest integer.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287871, 575739, 863607?\nAnswer: 1151475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 4, -19, -52, -95, -148, -211?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 534 and 169203.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 - 400*u**2 - 413*u + 2218. Give i(201).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 267.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1597.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24391.\nAnswer: 24391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -108347 divided by -15?\nAnswer: 108347\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 1\/2, 8 in descending order.\nAnswer: 8, 1\/2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -145, 4 in descending order.\nAnswer: 4, -2, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a kilometer in meters?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -355.5 - -355. Let m be (-24)\/(-16) + (-3)\/(-2). Put m, -2, -0.3, y in decreasing order.\nAnswer: m, -0.3, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*(2 + sqrt(1216))**2.\nAnswer: -6100 - 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 78.8175 to the nearest integer.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42843*z - 1550 + 3037 - 1487 to s + p*z and give p.\nAnswer: -42843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 2. Let a be v(3). Suppose -26 = -5*w - 2*l, -2*w = -4*w + 5*l - 7. Put 0.2, w, a in descending order.\nAnswer: w, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.2 (b) -9 (c) -15 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x + 30*x + 20*x - 900 = 0. Solve 0 = -21*s + 31*s - x for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 29 + 205. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (19 - 18) + (-1 - -4). Suppose 0 = -5*p - 15, -6*v + m*v = -5*p - 55. Let d = 23 - 15. Calculate the greatest common factor of v and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/76500 and -173\/168?\nAnswer: 1071000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31179 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6794679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-2\/3))**(-24))**(-3\/47) assuming s is positive.\nAnswer: s**(192\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 0.2 (b) -76 (c) 26 (d) -0.3 (e) 10 (f) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*l**3 - 1 + 30*l - 252*l + 1.\nAnswer: 381*l**3 - 222*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 13\/30*w**6 + 0*w**5 - 17\/12*w**4 - w + 0*w**2 + 0*w**3 + 0. What is the third derivative of s(f) wrt f?\nAnswer: 312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5906?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = m. Suppose -r = r + m. Put r, 0.1, 0.2 in increasing order.\nAnswer: r, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 16 = g - 4*v, 3*g - 20 = -v. Let f(d) = -3*d + 1. Let u be f(-1). Suppose 27 = g*z - 2*z + 5*l, -4*l = -u*z + 36. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 700 = 7*n. What is n rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8531 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8766, -17513, -26246, -34959, -43646, -52301, -60918, -69491?\n\"Answer: s**3 + s**2 - 8757*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 1641*k**2 + 831024*k + 120619584.\nAnswer: (k + 249)*(k + 696)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26283 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2441 - -2440.9995572. What is b rounded to five decimal places?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8030, -15961, -23306, -29771, -35062?\nAnswer: -38885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -63, -136, -223, -318, -415, -508?\n\"Answer: h**3 - 16*h**2 - 12*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4636 and 32808728.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3574004 (base 8) in base 16?\nAnswer: -ef804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7566669 divided by -219\nAnswer: -34551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 29 + 18 + (-24160)\/512\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 5*r**2 + 7*r - 6. Let t be j(4). Suppose -3*x = -3*l - 9, -3*x + 5*x - 5*l = -t. Suppose -4*z + x + 33 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**2 + 2*n - 3. Suppose 3*z = 2*a - 0 - 2, 2*a + 2*z + 8 = 0. Let o(v) = v**2 - v + 1. Determine a*o(t) - f(t).\nAnswer: 3*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 + 184840*i\/3 + 184841\/3.\nAnswer: -(i - 184841)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64*o**2*w + 3*o**2 + 689*o*w - 3*o - 28475 with respect to w.\nAnswer: 64*o**2 + 689*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -49*m**3 + 3*m**2 + 3*m + 3. Let u(a) = 1617*a**3 - 98*a**2 + 159*a + 337*a - 594*a - 98. What is 98*r(d) + 3*u(d)?\nAnswer: 49*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140436?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 to the power of 1\/4, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u - 18 = 4*q, -4*u = 4*q - 52. Calculate the greatest common factor of 238 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109693595 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/10, -2, -11\/6, -1\/2, -3 in descending order.\nAnswer: 3\/10, -1\/2, -11\/6, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13314, 26629, 39944, 53259?\nAnswer: 66574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95777833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97168*j = -97174*j + 1764. What is the highest common factor of j and 966?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5247, 8096, 10945, 13794?\n\"Answer: 2849*u + 2398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 161\/(-98) + (7 - (-22)\/(-4))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, 185, 188, 183, 164, 125, 60?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 298*l - 582. Let t be w(2). Let z(u) = 5*u**2 + 6*u - 6. Let v = -6 - -10. Let g be z(v). What is the highest common divisor of g and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 1. Let d be a(1). Let p = 35 - d. Let v be (-2)\/(-5)*(-280)\/(-16). Calculate the highest common factor of p and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 110*i + 370*i + 5083 + 12197 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**2\/5 + 806*y\/5 + 3304 = 0.\nAnswer: -20, 826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 10*v + 9. What is d(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 29.44723?\nAnswer: -29.64723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -4. Let p = c - -4. Suppose -2*o + 2 = -p*o, g + o = 53. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3*z + 7 = 15, 2*f - 2*z + 10 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 - 28*v - 34*v + 88*v + 98.\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*s + 3*d + 19, -s - d = -25. Let a = s - 19. What is the hundreds digit of 1 + 129 + 0 + (a - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6567\/248 + 5\/248. Let k = -3566667\/28 + 127368. Let q = k + 75\/7. What is the common denominator of q and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 207045\/(-6450) - 3\/30*-1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 16) + (4 - (-2 + 6))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*((-2)\/(-4) + -1). Suppose y = -z - 3*w - 218 + 34, -5*z = 2*w + 959. Let l = -2 - z. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5\/3 - 19*x**4\/3 - 169*x**3 - 1793*x**2\/3 - 2146*x\/3 - 280 = 0.\nAnswer: -12, -2, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43626?\nAnswer: 2, 3, 11, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -670 + 45. Suppose 1785 = 10*j - w. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 65*f**7\/42 - 11*f**4\/6 - 68*f. Find the third derivative of z(s) wrt s.\nAnswer: 3900*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 852 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 4*x - 5*x - 8, -4*f = 4*x - 28. Suppose 0 = -7*y - f + 33. Solve -o + 5 = 3*b + 2, -y*b + 4 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*t - 12*t + 15. Let s(m) = -3*m**3 + m**2 + 4*m - 2. Let r(y) = y**3 - y**2 - 2*y + 1. Let a(i) = t*r(i) - 2*s(i). What is a(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -26. Let l = -12 + 12. Let p be 3*6*(-2)\/(-9). Solve l*m - k*m + 13 = 5*n, 3*n - 31 = p*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56, 50, 40, 26, 8, -14?\n\"Answer: -2*c**2 + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2. Let w(o) = -2*o**2. Let f(p) = -3*h(p) + 4*w(p). Let k(b) = -10*b - 13*b + 25*b. Give k(f(c)).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34 - -2 - (1 + -2 + 0). What is the second derivative of -8*d**4 - 26*d - 19*d**4 - 37*d**3 + p*d**3 wrt d?\nAnswer: -324*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/19 + 22\/57. Suppose 0 = -0*d - 3*d + 3. Which is greater: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202 divided by -1682\nAnswer: -101\/841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 1, 8174559.\nAnswer: -20, 1, 8174559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -1012*d**3 - 832. Let k(w) = -184*w**3 - 151. Let o(g) = -28*k(g) + 5*n(g). Differentiate o(r) with respect to r.\nAnswer: 276*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4*sqrt(252) + sqrt(252) + sqrt(252) + sqrt(252)) - sqrt(252) - sqrt(252) - sqrt(252))\/(sqrt(100) - (sqrt(100) - (sqrt(100)*6 - sqrt(100)))).\nAnswer: -21*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 14*h**2 + 14*h - 7. Let j be g(13). Sort j, -5, -1 in increasing order.\nAnswer: -5, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42367\/6 - 7077. Let t = 6756 - 364747\/54. Find the common denominator of t and x.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 - 224*j + 675*j**2 + 5 + 610*j**2 - 753*j wrt j?\nAnswer: 2570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109776659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (0 + -3 + 10). Put -5, r, -2 in increasing order.\nAnswer: r, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1216) + -3 + sqrt(1216))**2 + 4 + -4).\nAnswer: -480*sqrt(19) + 24365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 3*i**2 - 8*i - 4. Let z be b(-6). Let a be z\/(-24) - (-6)\/(-9). Solve -q - 6 = -a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -1000134?\nAnswer: -1000134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 458436020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, o: 5, e: 1, i: 3, l: 6, v: 1}. Give prob of sequence ieiw.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 18 = -2. Let j be (0 - 2) + 0\/u. Let h be 2 - j\/(-4)*4. Which is greater: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 + 2447482*p\/3 + 2447479.\nAnswer: (p + 3)*(p + 2447479)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(((-4)\/(-10))\/((-3003)\/715))?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2))**(-48)\/(j*j*j**(4\/5)*(j\/(j\/((j**(17\/5)*j)\/j*j)))\/j) assuming j is positive.\nAnswer: j**(449\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*p - 25, -2*p - 4*x = -0*p - 26. Let u be ((-24)\/p)\/(4\/(-10)). Let r = 710 - 710.3. Which is the second biggest value? (a) u (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 12. Let m = r - 5. Suppose -g = g - 5*y + 10, -m*y = 3*g - 10. Solve -i + 0*i = g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3509425, -7018803, -10528181?\nAnswer: -14037559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3294367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2667254 less than or equal to -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**2 + 33*c + 30. Let j be x(-26). Let o = -22\/115 - -1263\/230. Calculate the common denominator of o and (-3)\/10 - j\/(-360).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39214848017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -2 - 23 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(41*v + 540 - 540).\nAnswer: -41*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 35 - 131. Let k be (9 - 0)\/((-12)\/h). Let r be 34\/k + 2\/(-3). Sort -0.5, 0, r in ascending order.\nAnswer: -0.5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Solve -5*m + 2*u - 2 = -4, 5*m - 18 = -k*u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 88, 327, 808, 1615, 2832?\n\"Answer: 14*p**3 - 5*p**2 - 2*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(3\/(-696)*2). What is the first derivative of 80 + 57 + 22*r**4 - w wrt r?\nAnswer: 88*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 17 - (67 - (-27 - -57))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -166 + 165.96. Let c = -7.84 - -8. Let t = x - c. Is 1\/3 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 76 or -40\/21987?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 3 - (-31 - -27)) + 14\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 12 - 1 = -3*f, -2*f + 5 = -5*g. Suppose 5*b - 3*b + 901 = 3*h, 5*b = -f*h + 1485. Does 34 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, p: 2}. Give prob of picking 2 p and 1 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2205 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqjirhhr. Give prob of picking 2 r and 1 j.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 28 * 0.04\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -69, -103, -139, -177?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2514941 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8010, -14739, -21398, -27951, -34362, -40595?\n\"Answer: 6*d**3 - d**2 - 6768*d - 1247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*y - 33, 0 = w + 4*w - 4*y + 28. Calculate the common denominator of 2 - w\/(-24)*71\/8 and 56\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(27\/6)*(-2829)\/(-82)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580149 is divided by 3136.\nAnswer: 3125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1404411 or -1404415?\nAnswer: -1404415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35\/13 + -341\/117. Let h = -0.062 + 14.862. Let d = -15 + h. Which is the third smallest value? (a) 0.5 (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.687133087 rounded to four decimal places?\nAnswer: 1.6871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.8257722s in weeks?\nAnswer: 0.0001997780625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.785 and -30.866.\nAnswer: -32.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 371*j + 8258 + 5840 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -13\/603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25077, 48122, 71167, 94212, 117257?\nAnswer: 140302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45806*r**3 + 4*r**2 - 59*r + 4 wrt r.\nAnswer: 274836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18745)\/16300)\/(2\/(-40)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) 2\/111 (c) 3 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -276, -550, -824, -1098, -1372?\n\"Answer: -274*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 - 3. Let q(w) = -4*w**2 - w - 6. Let i(n) = 3*q(n) - 5*u(n). Let m(b) = -4*b**2 - 6*b - 5. Give -5*i(o) + 3*m(o).\nAnswer: -2*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 4:01 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10436 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67726.53 + 67676.26499. Let t = r + 0.00501. Let y = t - -51. Round y to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuqquuquuquuuuuuuu. Give prob of sequence qqqu.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 30 = 5*g - 8*s, -2*g = 3*s - 22. Let x = g - 4. Suppose -x*b = -3*a - 14, 3*b - b - 12 = 4*a. Is b less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16163\/14*(0 - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 5*h - 19. Let b be c(12). Suppose x = b + 18. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16 + 9 + 2*a**4 + 2*a**4 wrt a.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -353119, -706632, -1060143, -1413652, -1767159, -2120664, -2474167?\n\"Answer: h**2 - 353516*h + 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*z = -15. Suppose 32 - 137 = -z*l. Suppose -51 = -0*d - 3*d - 3*h, -25 = -2*d + h. Solve -3*o + l = 3*y - 3, -4*o + d = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 7*z**3\/3 + 8*z - 3. Let j(m) be the first derivative of b(m). Let i(l) = 0*l - 5*l + 3*l. What is i(j(k))?\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -8*r - 43 + 39, 0 = -4*h - 2*r - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (4 - (2 + -17781)) - -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 6:51 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (2 + -6 + (1 - -5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240838980.\nAnswer: 2, 3, 5, 23, 61, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-118 - (-32 + 12)) + 120\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 0*m + 8 - m - 4*m + 2*m.\nAnswer: -2*m + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -134, 1\/3, 7.4?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -46. Sort j, -4\/5, 2\/5 in increasing order.\nAnswer: j, -4\/5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*c**3 - 9\/7*c**4 + 0 + 0*c + 3\/7*c**5 + 0*c**2.\nAnswer: 3*c**3*(c - 2)*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) 0.3 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + 7*q + 9. Let d be z(-8). Which is the second smallest value? (a) -5 (b) 2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1794386 - 1794357.99983. Let y = 0.4 - -27.6. Let f = c - y. Round f to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 7) to base 2\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, -17, -52, -101, -164, -241?\n\"Answer: -7*r**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 142539, -3 in descending order.\nAnswer: 142539, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(0 + 4 + 3)*(-4*l + 4*l + 4*l).\nAnswer: -56*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3033 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*k + 40*k - 5*u + 2789 = 184*k, -3*u + 4 = k - u for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxzrrirziixr. Give prob of picking 1 x, 2 r, and 1 z.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + m + 1 + (4*m + 2*m - 4*m)*(-1 + 6 - 2) - 693*m - 11033 + 11033 in the form g*m + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 719 + -194. Suppose -u = -2*r - 3*r. List the prime factors of r.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14*((-3)\/(-2) + 26\/4). What is the highest common factor of 16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*(u*u*u*u**(-9))\/u*u)\/u**(-1\/4))\/(u**(-12)*u*u**(-1\/8)))**(-2\/7) assuming u is positive.\nAnswer: u**(-59\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -197 - -417. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 309 + -314. Which is the nearest to 1? (a) 1\/19 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101100101010000101100 + 11?\nAnswer: 1101100101010000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41188 and 1912708?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x**7\/x)*x))\/x**(-5))**(-6\/7)*(((x\/((x*x**6)\/x))\/x)\/(x\/(x\/(x\/(x\/(x*x\/(x*x*x**(1\/4))*x))*x*x*x))*x*x))\/((x\/x**1)\/x**0) assuming x is positive.\nAnswer: x**(-569\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, x: 2, y: 3}. What is prob of sequence xxy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30913*p**3 - 32034 wrt p.\nAnswer: -92739*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*z**2 + 226*z**2 - 43*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + r**3 + 0*r**3 + (-2*r + 2*r - 2*r)*(-3*r + r**2 + 3*r) + 10*r**3 - 4*r**3 + r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -544 in -3.25, -0.8, -1?\nAnswer: -3.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 15*r**2 - 2*r - 2. Let x(b) be the second derivative of -5*b**4\/2 + 5*b**3\/6 + 5*b**2\/2 - 11*b + 4. What is -5*t(l) - 2*x(l)?\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**3 - 390*w**2 - 7605*w + 7990 = 0.\nAnswer: -17, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2009 is divided by 1959?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/9 - 1232*k**3\/3 + 379456*k**2.\nAnswer: k**2*(k - 1848)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 14 = 2*b - l, -4*l - 8 = 0. Solve -4*m - b + 26 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53631 is divided by 4121.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4. Let r = 847 + -843. Solve 0*c - j = -r*c - 17, c - j + 8 = s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336 and 17724.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68 + -4 - (-157 + 117).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.128 and -7889.\nAnswer: -8898.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 1 - (-60 - (-19 - 40))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -29, 3\/12521?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*u - 95*u = 58840. Round u to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 620 - 728 = 167*g - 1778 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2. Let t = a + 3. Let r = 6 - t. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-2886)\/12*(-1 + 3). Let l = k + -289. Calculate the highest common factor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-54)*(3 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 5 = -5*d - 6*i, -2*d + 5*i = 33 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/4513 - -9021\/22565. Sort -1.3, u, 0.05 in decreasing order.\nAnswer: u, 0.05, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 106874 (b) 2\/11 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 19219*h - 3154*h + 20 - 11741*h.\nAnswer: -34114*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11668\/2405453 - -121933747798\/83587086297. Let a = x - -2\/3159. What is the common denominator of a and 39\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from rrssrkr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 951*a = 1063*a + 317 - 3789 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 780470884?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**5 + 699*q**4 + 4266*q**3 + 8580*q**2 + 5736*q.\nAnswer: -3*q*(q - 239)*(q + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x + 1. Let l(o) = -17*o + 2. Calculate 6*l(f) - 13*w(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/11)*q\/q**(14\/5))**(-12) assuming q is positive.\nAnswer: q**(1008\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**2 + 4*v**2 - 3*v**2 - 5*v**2 - v**2 + 11*v**2 + (0*v**2 + 3*v**2 - 4*v**2)*(-2 + 2 + 1) in the form w + c*v**2 + y*v and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1697, -3399, -5101, -6803, -8505?\n\"Answer: -1702*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a + 1. Let k = 5 + -5. Let w = k - 1. Calculate m(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 347, 779, 1383, 2159, 3107, 4227?\nAnswer: 5519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-5 + 2 - (14 + -8)) + 0\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7806736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m + 6. Let z = 58 - 56. Let y be r(z). Suppose 22*p - 27*p + 690 = y. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 5, 0.4, 400\/23, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 367 - 349.3. Round r to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*3\/(-12)*4. Let g = y + 16. Let x = -5 + g. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (4 - 16) + 0 + (2 - 8) + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-126)\/(-7))\/(-144))\/((-2)\/(-20)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000 (base 2) in base 10?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(5\/(15\/6)). Suppose v = 5*p + 31 - 216. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29974 and 32849363?\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/35 (b) -16 (c) 2 (d) 2317\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9054 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - g + 6*g + 3*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-22) + ((-26330)\/(-990) - 16) + -11.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18.6782 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + -3 - -14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 0, -1, 69, 840, 5 in decreasing order.\nAnswer: 840, 69, 5, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c0 - -5?\nAnswer: -5ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a minute in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -22. Suppose 0 = -7*u + h + 32. Suppose -2*g - 113 = -5*l - 19, l - 4*g = u. Calculate the remainder when 36 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 4090 = 18*r. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (26 + 64 + -38).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8\/5, 161, -160?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -381 - -250 - (-1 + -10 - -1) - (23 - 21)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 times -8.1\nAnswer: 1.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -2 in ascending order.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 984052 divided by -37?\nAnswer: -26596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*m + 188, -m + 2*m - 66 = 2*z. What is the lowest common multiple of 2400 and m?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -2. Let t(k) = k**3 + 1. Suppose 5*x + 7 = -4*v, -2*x - 3*v - 5 = 2*x. Let c(z) = -7*z**3 - 2*z**2 - 2*z - 6. Determine a*t(l) + x*c(l).\nAnswer: -l**3 - 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -284 (b) 37 (c) -1 (d) -0.14 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8 + 0*q - q + 19. Let a be k(0). Suppose -a - 1 = -4*t. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 8:36 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -10*w + 1137. Let s = 212 - w. Suppose 8*t - s = -461. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*a - 43 - 77 = 0, -2*a = 4*h - 96. Let t be h\/28*1\/3. Let 0 - t*f**2 + 0*f = 0. What is f?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from fffbbfbffbffffffffff?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100000010 - -101?\nAnswer: -100011111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6812 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(99))**2 + sqrt(1331)*-6.\nAnswer: -84*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 0 + 5*g**2 - 4*g**2 - 2 - 4*g + 3*g. Let y(f) = -f**2 - 6*f - 6. Let l be y(-5). Give j(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c - c - c)*(367 - 367 - 21*c**3) - 4*c**2 - 4*c**2 - 3*c**4 + 11*c**2 in the form r*c + l + o*c**2 + q*c**4 + y*c**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*w = 75*w + 135 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1982 - -4872. List the prime factors of a.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -22*v**2. Let p(h) = -23*h. Give p(u(j)).\nAnswer: 506*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9091 + 0.869. Round b to 3 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 3*z = z - 1, y = -3*z + 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -36*v**2 - 2913*v + 269. Determine s(-81).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5}. What is prob of sequence mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -40. Put y, -5, 13 in descending order.\nAnswer: 13, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14103023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1140605, 1140607, 1140609, 1140611?\n\"Answer: 2*p + 1140603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 3. Let t = 202 + -199. Suppose -5*w - 66 + 69 = i, -w = t*i + 19. Determine l(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/7 and -44\/5971.\nAnswer: 5971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1088)\/252 - -7 - 33\/(-77)?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2 (c) -215 (d) 0.5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 4*u + 2*u)*(-1036*u**2 - 17356 + 17356) + (u**2 + 2 - 2)*(0*u + 0*u + 2*u).\nAnswer: 1038*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1860 and 12555?\nAnswer: 50220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 607?\nAnswer: 6\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 423478 or 423476?\nAnswer: 423478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 + (8 - ((-119)\/28)\/(-17)). Let y = 912\/7 + -130. Which is the nearest to 12? (a) 3 (b) y (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52305 + 20404?\nAnswer: 113113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 7. Suppose 10 = -0*w + m*w. Let o(f) = 10*f**2 - 10*f**w - 4*f**2. Let b(u) = 2*u. Give o(b(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 18*h + 22. Let w be j(19). Let k = -5 + 8. Solve -w*s - k*v + 7*v - 14 = 0, -10 = -5*v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4663.\nAnswer: 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 354107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 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: Solve -4*s + 2*x + 6 = 0, 5446*s - 10*x - 8 = 5448*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -121318, -121316, -121314?\n\"Answer: 2*b - 121320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 321307 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 5*k + k. Let l(v) = -17*v**2 + 17*v - 11. Let x(g) = 8*g**2 - 8*g + 5. Give k*x(h) + 6*l(h).\nAnswer: 2*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**2 - 26*p**2 - 422*p**3 + 16*p**2.\nAnswer: -422*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2912 is divided by 692.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1799597 (base 10) in base 2?\nAnswer: -110110111010110101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 215\/43074 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 479*q + 364*q + 0*q**3 + 133*q + 2*q**3 as w + o*q + z*q**3 + h*q**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -0.361\nAnswer: -5.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/4213, 1, -2\/13, 4\/5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*r + 21.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14293, -28589, -42909, -57265, -71669, -86133?\n\"Answer: -2*z**3 - 14282*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1760, -13185, -43908, -103577, -201840, -348345?\nAnswer: -552740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -473 + 5?\nAnswer: -46d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54443366 a multiple of 757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 + 52 - 15 + 66*s + 3*s to b + h*s and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 - -59. Let w = v + -41. Let o be (-132)\/w - (-9)\/15. Solve k = -0*k - o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/418356 and -163\/60.\nAnswer: 2091780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -21*r + 19*r + 5*r - 6*r. Let h(z) = -2. Let y(d) = d**2 - 1. Let w(c) = -2*h(c) + 4*y(c). Determine m(w(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 25 + 47 = 4*m, 4*d = -4*m + 12 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6255.4 + 6255. What is the third smallest value in -2\/577, w, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 19 + 221*o + 18*o**2 + 54*o**3 - 188*o - 53*o**3. Give c(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 36.65579t?\nAnswer: 36655790000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**5 + 120*v**4 - 246*v**3 + 124*v**2 = 0.\nAnswer: -62, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499*h - 856*h - 177*h + 506*h.\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001806808289 to seven decimal places.\nAnswer: 0.0018068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -333459 (base 11) to base 8\nAnswer: -2016241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8b - -134469?\nAnswer: 13439a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4683\/4 + 41891\/36. What is the common denominator of 223\/(-33) - (-112)\/14 and v?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*-2*(-2)\/(-4). Solve 0*q + 2*q + 2 = -4*l, -4*q + 3*l - 26 = z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2 = 10. Suppose y + z*h = 4*y + 3, 0 = -y - 4*h + 4. What is the nearest to y in 4, -2\/17, 2\/3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -41. Let y = z + -13. Let s = -0.7 + -0.3. Which is the closest to -2\/3? (a) y (b) s (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/84 and 1\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36165965 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 0 = -4*j - 2*c, c = 9*j - 24. Put j, 15, 19, 0 in ascending order.\nAnswer: 0, j, 15, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*u + 26534 = -97*u - 7566 for u.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 480 - 441. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 8. Determine o(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 8:19 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/8, -1\/4, 0.2, 0.1, 2 in increasing order.\nAnswer: -15\/8, -1\/4, 0.1, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98062 - 32692 - 21*c**2 - 32683 - 32687 + 23*c**2 + 63*c**2.\nAnswer: 65*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69.35922194433563 + 82120020.60077639566437. Let k = h + -82120091. Let x = k - -1.04. What is x rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -193*l + 208*l. Let z(f) = -6*f**3 - 2*f**2 - 2*f - 1. Let k be z(-1). Solve -4*o + l*v = -3*o + 5, 20 = -o + k*v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755843288?\nAnswer: 2, 739, 127849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.87226 rounded to 1 decimal place?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -435, -1109, -2151, -3495, -5075?\n\"Answer: 11*s**3 - 250*s**2 - s - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78 + 10 - 2*z**3 - 2*z - 7 + 3*z**3 to the form j + w*z + q*z**2 + b*z**3 and give j.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 221163?\nAnswer: 1548141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (13 - (-22585 + -11))\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 732 = -13*p. Let z = p + 185. Solve 2*o - z = -5*v, 1 + 0 = o for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484655268 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 487 + -471. What is the closest to -0.01 in 2\/5, 5\/2, i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2088 + -359. What is the highest common factor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (7 + 0) - 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -29*f**2 + 217*f - 27. What is h(8)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16502 and 9812?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97203\/1263301 + 2\/97177. Sort 1\/15, 2\/59, s, -2\/7 in ascending order.\nAnswer: -2\/7, s, 2\/59, 1\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 0*h - 12. Suppose 0 = 4*v + a - 17, -4 = -4*v + 2*a + 10. Let t = h + v. Are 1 and t non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*n = 16, 2*k - n = -2*k - 25. What is the tens digit of k + 58 - 8 - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/sqrt(6) + -5 + -4 + (sqrt(11) + 0 - sqrt(11)) + -1.\nAnswer: -10 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 570 and 5890?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 r when three letters picked without replacement from hhrhrrhrrhrh?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/5 + 14*a**2\/5 - 12*a = 0. What is a?\nAnswer: -10, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 13*z**3\/3 - 19*z**2 - 16. What is the second derivative of k(y) wrt y?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/2 and 109\/251640.\nAnswer: 251640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z**2 + 5*z - 5. Let l(d) = -d**3 + 8*d**2 - 16*d - 6. Let n be l(4). Let i(r) = 5*r**2 - 4*r + 4. Give n*k(c) - 7*i(c).\nAnswer: c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1237860)\/(-46))\/(-138) + 137.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -633, -4458, -14793, -34878, -67953?\n\"Answer: -540*v**3 - 15*v**2 - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 + 17*r + 4. Let w be s(5). Is (-4599)\/(-15) - w\/(-35) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -94? (a) -0.1 (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -245 (base 9) in base 14?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 0 (c) -5 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -8*s + 2084. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255 divided by 334?\nAnswer: -255\/334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.5 - 1.1. Let u = 3.6 - k. What is the smallest value in -0.5, -0.1, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*(x\/(x\/((x*x**0)\/x)))\/x)\/x))**43)**(-3)\/(((x*x*x**(-2\/7)*x)\/x)**19*x**5*x\/(x*x**(-2))) assuming x is positive.\nAnswer: x**(-2083\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/1375216 - -20856525779\/105891632. Let n = u + -1401\/7. Let o = 1150 - 2217\/2. Calculate the common denominator of o and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 2028530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -61*h**7\/42 + 2*h**5\/5 - 5*h**3\/6 - 331*h**2. What is the third derivative of r(f) wrt f?\nAnswer: -7320*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6378372\/(-137592) - 9\/14.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -44*u**2 - 3*u - 14. Let b(y) = -104*y**2 - 7*y - 27. Let q(x) = 3*b(x) - 7*o(x). Let r = 0 - 0. What is the tens digit of q(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + -503206?\nAnswer: -503173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -15\/13, 0?\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - u + 1. Let o(h) be the third derivative of -3*h**5\/20 + h**4\/6 - 2*h**3\/3 + 510*h**2. Calculate -4*d(x) - o(x).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q = -1295. Let z = 2515\/2 + q. Find the common denominator of z and -35\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -0.0510789.\nAnswer: 0.1489211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k**4 + 769821*k**3 - 8852268*k**2 + 15395097*k - 7312644 = 0. What is k?\nAnswer: 1, 19\/2, 128292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1\/8, -1, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2 + -5.2. Let l = 0.1 + -3.1. Put l, 2, t in decreasing order.\nAnswer: 2, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/67 or -402?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18911152 is divided by 16081.\nAnswer: 15977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 72 = -2*v. Let a be v\/(-42) + (-2)\/7. Let y(p) = p**2 - p - 3. Calculate y(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5 = b, 866*b - 867*b = -2*h + 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-11 + -7) - -2 - -25\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1815 by -11.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299 and 38272?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -13*y + 96. Calculate s(3).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6164467100 rounded to the nearest 100000?\nAnswer: -6164500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 68 + 61. Let v = 2 + f. Suppose -111 - v = -4*t. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5*s - 17*s = 22, 2*u - 15*u + 4*u = -4*u - 5*s - 15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 10*r - 20. Let g = 468 + -471. Let n be d(g). Solve 0 = 4*l - 3*u + 1, l + 2*u = -n + 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {n: 3, h: 17}.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64 - -4 - 1680\/28?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 603587695 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 174 by 1.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*24\/(-420)*-21.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 16\/17 (c) 2\/9 (d) 339 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**2*v*z**2 + 67313*q**2*v*z + q**2*z**2 + 42*q**2*z - 1085381*q*z**2 wrt z.\nAnswer: 2*q**2*v + 2*q**2 - 2170762*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 18\/5 of a millisecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = 4*f - 5 - 78, 605 = -5*f + 42*c - 9*c + 37*c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -599, -585, -551, -497, -423, -329, -215?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3.5. Let i be 12\/15*((-9)\/27 - 3). Do i and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**3 + 2*j**2 - 4*j. Let b(l) = -6*l**3 - 5*l**2 + 9*l. Let v(t) = t**3 - 7*t**2 + 3*t + 13. Let s be v(6). Calculate s*o(n) - 2*b(n).\nAnswer: -3*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b - b - 3*b - 9*b as n + z*b and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76209 by 25403.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d + 91. Let j be m(0). Let o = j - 63. Calculate the greatest common factor of o and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 10566776.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 303 and 84?\nAnswer: 8484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 432?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - f - 44 = -4*f, -3*r - 5*f = -30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -7, -5, 0, 130178?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-2*sqrt(11) - sqrt(11)) + 2)*1 - (5 + -1*sqrt(704)*-4))**2.\nAnswer: 76*sqrt(11) + 15885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5065704 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 113\/3. Let j = -0.8 + -2.2. Let m = -7 - -2. What is the closest to g in m, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + q - q + (-3*q + 2*q + 2*q)*(-q + 1 - 1) + 0*q**2 + 2*q**2 + 0*q**2 + (0 + 0 + 2*q**2)*(-5 + 4 - 9) + q**2 - 2*q**2 + 3*q**2 - q + q - 2*q**2.\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*g - 3*g. Suppose 0 = -2*m + 6 - 22. Let j = m + 13. Which is the biggest value? (a) g (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4516, 0.3, -62?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from {f: 1, s: 2, g: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/10)\/((-4)\/1160). Suppose q = i + 2*p + p, -2 = 2*p. Round i to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, c: 4, b: 4}. What is prob of sequence ucbu?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 7 + 3. Suppose 22 + 114 = h*o. Suppose 0*u = -4*u - 5*f + 31, -4*u = 2*f - o. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 3*q = -s, -s = 5*q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1404 and 1254825?\nAnswer: 5019300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-1 + 3))\/(-1). Suppose 2*q - 4*d - 1 = 23, 5*d + 21 = -2*q. Solve j = l + q*l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.682757782 rounded to two dps?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (237\/(-18))\/((-3)\/(-2)). Let v = 941\/18 + s. Find the common denominator of v and 215\/(-30) - (-1 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = 2 - 2. Let q(n) be the second derivative of -2\/5*n**5 + 0*n**2 + 8*n + c*n**4 + 5\/3*n**3 + 0. What is the second derivative of q(i) wrt i?\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-22))**(-18)*m**33*m**(1\/12))**(-2\/5) assuming m is positive.\nAnswer: m**(-5149\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 4*r - 5*r)*(5*r**2 - 5*r**2 + 5*r**3) + 2*r**3 - 2*r**3 + 2*r**4 to f*r**2 + b + y*r**4 + t*r**3 + k*r and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -88\nAnswer: 5\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(162\/(-4)) + 1626925\/(-148905)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252 and 868.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 37*k = 136 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 49*w**2 - 33*w - 115. Let m be c(-49). Suppose -5*v + m + 92 = r, 0 = -4*v + 4*r + 1280. What are the prime factors of v?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232453061 is divided by 15381.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*o + 31 - 1 = 0, -2*c = o - 5. Suppose 2*b - 4*b + 6 = 0. What is the third derivative of -3*m**c - 31*m**b - 2*m**2 + 31*m**3 wrt m?\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 7*f**2 + f + 8. Let j be (2 - (-1 + 2)) + -8. Let a be w(j). Let z = a - -15. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17992 and 208.\nAnswer: 35984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*j + 376*j + 396*j = 1269*j - 4410 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -a1798 (base 13) in base 15?\nAnswer: -5a9e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107499?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 4:58 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 2)*(-4*i - 4*i + 5*i) + (2 + 2 + 1)*(3*i - 9 + 9))*(-2 + 4 - 4).\nAnswer: -36*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -113554176 divided by -23776?\nAnswer: 4776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.23945 - -0.06\nAnswer: 1.29945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 37 + 3\/20*p**5 - 3\/2*p**2 + 3\/4*p**4 + 3\/4*p**3 - 3*p. What is h in d(h) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -15641?\nAnswer: 15642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111012022 (base 3) in base 15?\nAnswer: -1b2a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijfjf. What is prob of sequence jfj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*d + 2*r - 473, -5*r = d - 116. Calculate the highest common divisor of d and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaxxb. What is prob of sequence ab?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.3 in 0, -0.03, 4269?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/42*(0 + 2). Sort 4, -2, z in decreasing order.\nAnswer: 4, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/719637 and 49\/9835039.\nAnswer: 29505117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m - 38. Let w be c(5). Let q(f) = -f**2 - 2*f + 4. What is q(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in 4, 0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by (24480\/50)\/9 - 6\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*-6*((sqrt(80) + 1)*3 - (sqrt(80) - (sqrt(80) + sqrt(80)*1*-2 + sqrt(80))))*5)**2.\nAnswer: 2764800*sqrt(5) + 18950400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-4\/7)\/c)\/c*c)\/c*c**(-1\/9))**(-1\/19) assuming c is positive.\nAnswer: c**(169\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x + 31. Let p(s) = -s - 14. Let u(m) = 3*g(m) + 7*p(m). What is u(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 218 or -3798?\nAnswer: 218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((584\/60)\/(-73))\/(1\/(5\/(-1))). Let l(t) be the first derivative of -s*t**3 - 9\/5*t**2 + 4\/5*t + 7. Suppose l(u) = 0. Calculate u.\nAnswer: -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -0.5, -2 in increasing order.\nAnswer: -2, -0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -2\/7, -13.7, -0.3, -3?\nAnswer: -13.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3103829 is divided by 55.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 4 = -8*z + 6*z, 12 = -4*z + 4*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 405 = -12*l + 15*l, 0 = 3*l. What is the least common multiple of 24 and f?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u - 13. Calculate q(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*t**3\/7 + 1578*t**2 - 14752*t\/7 + 4920\/7.\nAnswer: 2*(t + 615)*(3*t - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 + 0*r**2 + 0*r**2 + 3*r**4 + 0*r**4 + 0*r**4 + (-r**2 - 54*r**3 - 25 + 23 + 7*r**3)*(-1628 + 1628 + 100*r).\nAnswer: -4696*r**4 - 100*r**3 - 200*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3672 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + (-1 + (sqrt(80) - sqrt(80)*-2) - sqrt(80)))*5)**2.\nAnswer: 1200*sqrt(5) + 8225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**7\/2520 + p**4\/4 - p. Let m(y) be the third derivative of s(y). Let f(h) = -h**2. Calculate m(f(u)).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, w: 2, o: 1}. Give prob of sequence qwo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -5. Suppose -12 = -q*l + 2*z, 2*l + 2*z - 1 = 1. Solve -l*o = -4*p + 14, 0*p + 3 = -5*o + 2*p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(832) + 3 - sqrt(832)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -51, 3, 14, 1.\nAnswer: -51, -5, 1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*h**2 + 16*h**3 - 47*h**2 - h + 95*h**2 to c*h**3 + p*h + i + x*h**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83840 - 4764145.\nAnswer: -4847985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 488 and -163?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -335*v**2 + 291*v + 20. Determine m(3).\nAnswer: -2122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-690)\/1035*9\/(-114)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/2*((-2)\/5)\/((-220)\/(-275)). Which is the second smallest value? (a) 42 (b) -6 (c) x (d) 1 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2. Suppose -2*b + 4*h = 0, 0 = h + 4*h - 5. Let g(c) = 2*c**2 + 4*c**2 + 0*c**b - 2*c**2. Give l(g(a)).\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-6)\/(-42)*-7)\/(1\/(-31))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 13275972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, d: 6, a: 5, l: 5}. What is prob of sequence lasa?\nAnswer: 5\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2023 (base 5) to base 3\nAnswer: -100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-1*2 + (-2*-2*sqrt(171) - sqrt(171)))\/((2*sqrt(72))\/(sqrt(242) - (sqrt(242) - -2*sqrt(242)))))**2.\nAnswer: 2299\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert c3223 (base 16) to base 3.\nAnswer: 1111121101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 299398.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31590 (base 16) to base 7.\nAnswer: 1501203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 731 greater than 731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9781*d - 34763?\nAnswer: 9781","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1407*s**3 - 235*s**2 + 4*s - 36. Let n(w) = w**2 + w - 9. Let i(k) = a(k) - 4*n(k). What is the third derivative of i(c) wrt c?\nAnswer: -8442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 114394 or 111314?\nAnswer: 111314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 606?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 19*o - 5. Let t be y(2). Suppose -t = -7*f - 5. Suppose 0*c - 5*k - 17 = -f*c, 0 = 3*c - 4*k - 13. What is the greatest common factor of 15 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127180, 254359, 381538, 508717, 635896, 763075?\nAnswer: 890254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25, -42, -45, -28, 15, 90, 203, 360?\n\"Answer: q**3 + q**2 - 27*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 22. Suppose h - 36 = 4*s, 0 = 5*s + 4 + 1. Calculate the greatest common divisor of i and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -75, 75, -64, 5?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-301)\/129*(-10)\/(-7))\/(-1)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -2 (b) 3 (c) -3 (d) 0 (e) 16702.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00056543 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.97? (a) 411.7 (b) 1\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 5*y**2 - 8*y + 459. Let w be a(0). Calculate the greatest common factor of 136 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 8*s**2 - 14*s - 4. What is the tens digit of o(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1299*f - 1288*f = -121 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 405 + -366. Suppose l - 19 = 2*w. Solve -3*q = -i + 4, -2*q - w = i + 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 6:52 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 265525 and 1.\nAnswer: 265526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8805 divided by 1761?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 1\/10, 4.4, -1\/8?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 473077 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25771\/123 - -629\/3. Which is the nearest to -2\/9? (a) 0.5 (b) 3 (c) 2\/9 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -9*u**2 + 820*u + 4072. Calculate s(-5).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 1315?\nAnswer: 7890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18526142*t - 9012834 wrt t?\nAnswer: 18526142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 2*a + 2132. Does 26 divide a\/(-12) - 5\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.039738 to four dps.\nAnswer: -0.0397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 206965.7 nanoseconds?\nAnswer: 0.2069657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.027257 millilitres?\nAnswer: 0.000027257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -831 - -1228. Let h = -398 + a. Which is smaller: h or -315?\nAnswer: -315","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 22*l - 24*l + 10650, 4*l = -2*r + 10654. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-595)\/(-14))\/17).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -224*a**2 - 634*a**2 - 195*a**2 + (-2*a - 2*a + 2*a)*(2*a + 0*a - 4*a) + 0*a**2 + 3*a**2 - a**2.\nAnswer: -1047*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrmr when four letters picked without replacement from mmrmrmmrmmr.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -20. Calculate the remainder when f is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14010215 a multiple of 1039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + u - 4*p - 25, -3*u + p = -15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2376*z**3 + 6*z**2 - 6*z + 6. Let r(d) = -73667*d**3 - 185*d**2 + 185*d - 185. Give -185*h(a) - 6*r(a).\nAnswer: 2442*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 5*h - 94. Let g be 4\/3*24\/2. Suppose -g = -23*i + 21*i. Calculate the remainder when h is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5324.52 + 5231. What is n rounded to 0 decimal places?\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 238 and 23062\/97 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -580, -579, -568, -541, -492, -415, -304?\n\"Answer: v**3 - v**2 - 3*v - 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6831)\/12144*5\/(675\/20)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p. Let v(c) = -2*c - 216088. Determine v(b(r)).\nAnswer: 10*r - 216088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 11*i**2\/2 + i - 22. Let c be x(1). Differentiate -21*d + 11 + c + 0 - 7 with respect to d.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**9\/84 - n**5\/12 + 3*n**2 + 5. Let s(b) be the second derivative of g(b). What is the third derivative of s(l) wrt l?\nAnswer: -720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284382?\nAnswer: 2, 3, 7, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1539 - 1506. Calculate the remainder when 155 is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 7*f**2 + f + 1. Let t = -42 - -44. Suppose -t*v - q + 8 = -3, -q = 4*v - 25. Let y be a(v). Solve b = 3*b - y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26590.98 and 2.\nAnswer: -53181.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t + 5. Let w(i) = 5*i**2 - 5*i + 3. Let m(j) = -4*j**2 + 4*j - 2. Let p(a) = 4*m(a) + 3*w(a). Let c(u) = 2*p(u) - z(u). Differentiate c(f) wrt f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(52) - sqrt(52))\/sqrt(4) - (sqrt(13) + 1)*3 - (-2*(sqrt(1872) + -1*sqrt(1872) + -2))**2.\nAnswer: -19 - 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/(((-12)\/288*16)\/(-10)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-56))\/(13\/26)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, 0.4 in descending order.\nAnswer: 3, 0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**3*p)*p))\/(p**(-1\/6)\/p)*p**(2\/15)\/(p**(1\/12)\/p) assuming p is positive.\nAnswer: p**(373\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2220339 is divided by 1872.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 + 65. Let g(b) = 7*b - 95. Let l(m) = 14*m - 188. Let a(n) = -5*g(n) + 3*l(n). Let u be a(12). Put 3, f, 2, u in decreasing order.\nAnswer: f, 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005600094 rounded to 6 decimal places?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9590 + -11133. Is j at least -1543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*d + 8*a - 20, 5*d + 3*a - 31 = 0. Suppose 7*x - 10 = 2*x. Let g = d - x. Which is smaller: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 331, 449, 627, 865, 1163, 1521, 1939?\nAnswer: 2417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 4) to base 10.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-49)*154\/44.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.782 + -4.782. Which is the closest to -1\/16? (a) 2 (b) v (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 - 47*a + 62. Let i be h(32). Is 60 a factor of i\/(-3)*24\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/12)\/((-4)\/(-16))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 + 1.1. Let c = -4 - -3.95. Let g = c + 0.15. What is the third smallest value in -4, b, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2. Let i(w) be the second derivative of 0*w**2 - 3*w + 0*w**3 + 0 + 1\/6*w**4. Give d(i(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 3:41 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.13 - 0.13. Let q = a - 5.0006. Round q to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70551 and 33?\nAnswer: 776061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1857718455.\nAnswer: 3, 5, 123847897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186 = r + 3*v - 168, -v - 22 = 3*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -332209.6211 to the nearest ten thousand.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -349 + 349. Is 6 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/531765 and 41\/195.\nAnswer: 531765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -2*d**7\/147 - 33*d**6\/35 - 97*d**5\/7 + 1177*d**4\/21 - 464*d**3\/7 - 2828*d**2. Find t, given that j(t) = 0.\nAnswer: -29, -12, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -24. Suppose t = 3*w + 6 + 11, 2*w + 8 = c. Solve -a = -t, a + 7 = d + 2*a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**5 - 4*k**4 + 48*k**3 - 32*k**2 - 160*k + 192.\nAnswer: -2*(k - 2)**3*(k + 2)*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 6*q + 4*k - 30, 4*k = 3*q + 14. Let y(z) = -z**3 + 4*z**2 - 6. Let h be y(q). Solve h*w - 4 = -0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1581 - -2854. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1664*v - 3332*v + 32*v**2 + 1668*v.\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/797 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1765389?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 + 60*l + 62*l - 122*l.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*g + 3*t - 10, -5*t - 5 = 5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -22. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10510032 (base 6) to base 7\nAnswer: 2502221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.036912 times 0.1\nAnswer: 0.1036912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/27 - 0)\/((-55)\/(-330)). Factor 6*h**2 - 2*h + b - 6*h**3.\nAnswer: -2*(3*h - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24378761?\nAnswer: 11, 103, 21517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134 by 44.\nAnswer: -67\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18493883767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15766638 and 685506?\nAnswer: 15766638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/7 - 12042*m**2\/7 + 96192*m\/7 - 192288\/7.\nAnswer: 3*(m - 4006)*(m - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3064, -3063, -3062, -3061, -3060, -3059?\n\"Answer: a - 3065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/4)\/(2\/(-24)). Suppose -3*y + 0*y - 3*t = 3, t = u*y - 9. Let v(c) = 8*c**2 - 4*c**y - 12*c**2 - c**2. Let i(o) = -2*o**2. Give v(i(q)).\nAnswer: -36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b - 3*b = 8*b. Let u(d) be the second derivative of -1\/50*d**5 + 0 + 0*d**2 + 1\/30*d**4 + b*d**3 - 3*d. Factor u(s).\nAnswer: -2*s**2*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1 = 21. Let k = 4 - d. Which is the nearest to k? (a) 1 (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2374*p - 16497 = 2797*p for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1646?\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b + 89. Let m = 11 - 4. Calculate the remainder when m is divided by x(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 14*c**5 - 13*c**2 + 15. Find the second derivative of l(n) wrt n.\nAnswer: 840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -517.0031.\nAnswer: -155.10093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (13 - 0)) + 5 + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(343) + -1 + -2 + sqrt(343)*2 + sqrt(343))*4 - ((sqrt(63) - (sqrt(7623) + sqrt(7623)*2 + sqrt(7623) + sqrt(7623) - sqrt(7623))) + -2)*1)**2.\nAnswer: -2892*sqrt(7) + 406603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/57)*y**(-17)*y*y*(y*y*y*y*y**(-3\/10)\/y)**(-1\/9) assuming y is positive.\nAnswer: y**(-8741\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/36*19\/((-608)\/576)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z + 27. Let t(n) = -6*n - 57. Let r(a) = 2*t(a) + 5*w(a). Calculate r(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -4*f - 11*o, -14*f + 5*o - 24 = -17*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 + 14 - 108) + 7.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3139, -1593, -47, 1499, 3045?\n\"Answer: 1546*d - 4685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 7*c - 7. Let h be 84\/8*(-2)\/(-3). Let i be z(h). Which is greater: i or -8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from issssbssbssxis. What is prob of sequence sbs?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.73 - 2.63. Is m < 146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f**2 - f**2 - 2*f**2 + (0*f + 0*f + f**2)*(-2 + 3 - 2) in the form q*f + v*f**2 + b and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.029, 527, -1\/7, -3, 137?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0140769 rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.06 - -13. Let t(y) = 2*y - 2. Let q be t(3). Let s = -9.9 + 10. Which is the nearest to s? (a) q (b) h (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(288)*2*-2*-2)**2 + (sqrt(4) + sqrt(12)\/sqrt(27))\/(sqrt(24)\/(sqrt(12)*-2) + sqrt(2) - sqrt(2)).\nAnswer: -8*sqrt(2)\/3 + 18428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 0 - 1\/16*a**4 + 26*a - 243\/2*a**2 - 9\/2*a**3. Factor b(p).\nAnswer: -3*(p + 18)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00062869 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166938.\nAnswer: 2, 3, 27823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7*a**2 + a + 1. Let u(q) = 12*q**2 - 2*q - 2. Let k(t) = -7*n(t) - 4*u(t). What is k(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 - 3)*(4*c + 3*c - 5*c) + 2 - 2 - c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.96 + -0.04. Let d = -2.5 - w. Let z = 0.5 - d. Is -0.1 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403092457 a multiple of 3836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 70. Let r be j(0). Suppose 0 = 2*i - r + 6. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.2, 4191, 4 in increasing order.\nAnswer: 0.2, 0.4, 4, 4191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21263 rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 75 (b) -3 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3046648 is divided by 5308?\nAnswer: 5164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 732773*v. Let u(h) = 17*h**2. Give x(u(b)).\nAnswer: 12457141*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/176 and -93\/21872?\nAnswer: 240592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 740925, 740929, 740933, 740937, 740941, 740945?\n\"Answer: 4*t + 740921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z + 2*z - 5*z)*(-6 + 3 - 5)*(-4 - 1 + 3) - 1 + 2*z + 1 + 5*z - 2*z - z + z + 0 + 0 + (-4 + 2*z + 4)*(1 + 0 + 1).\nAnswer: 41*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6*o**2 + o - 14. Let d(w) = 5*w**2 - 13. Let a(x) = 7*d(x) - 6*p(x). Let c be a(-5). Sort 3, c, 5 in increasing order.\nAnswer: c, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 189 = -2*f + 2*k, -f + 54 = 5*k. What is the greatest common factor of 26 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194509, -194510, -194511, -194512, -194513, -194514?\nAnswer: -194515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g + 4*r = 45, 5*r + 100 = 5*g. Suppose 8*o - g = 3*o. What is the remainder when 9 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456292.\nAnswer: 2, 114073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -41. Let n = l + -21.999974. Round n to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than or equal to -2.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 32\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - (0 - 2)\/(-2). Suppose 3 = -2*a - a. Calculate the smallest common multiple of a + f + -2 + 0 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*563.5555.\nAnswer: 2817.7775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 451 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6 - (10 - 53538\/18). Suppose -95*k - h = -101*k. List the prime factors of k.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -3371359.\nAnswer: 1\/3371359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5.206 + -431541\nAnswer: -431535.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 u, and 1 e when four letters picked without replacement from {v: 2, u: 5, e: 2, d: 9}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 divided by -99110?\nAnswer: -87\/99110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5\/2))**(-1\/13) assuming w is positive.\nAnswer: w**(5\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 11321, -0.3, 4, -2\/17, -3 in increasing order.\nAnswer: -3, -0.3, -2\/17, 0, 4, 11321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 27\/5536112?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24, 19, 136, 363, 736?\n\"Answer: 6*d**3 + d**2 - 2*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 37.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 - v**3 + 0*v**3 - 4*v**3 + 5*v**3 + 0*v**3 + (4*v**2 - 4*v**2 + v**2)*(v + 0 + 0) - 11*v**3 + 79*v**3 + 61*v**3.\nAnswer: 132*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 2, o: 1, d: 2, s: 1, r: 2}. What is prob of picking 1 w and 1 r?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*o - 105*o + 55*o + 5)*(-1 - 3 + 5).\nAnswer: -25*o + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -32\/7*z**2 - 8\/7*z + 0 - 10\/7*z**3 + 2*z**4 = 0.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -3\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*r + 8 = 0, 12 = 2*f + 2*r - r. What is the lowest common multiple of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5972 - -20657. List the prime factors of y.\nAnswer: 31, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, j: 2, n: 6, a: 1, f: 1}. Give prob of picking 1 f and 1 a.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -4. Is h equal to -0.28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 46 = 3*d + 4, 6 = d + 3*w. Suppose 4*v = -k - 0*k + d, 0 = 3*v + 3*k - 9. Let c be (2 + -4)*(-15)\/10. Solve v = c*q + 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378724.\nAnswer: 2, 73, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4 = -2. Suppose 2*j = 5*o + 6*j + 13, -5*o + m*j - 1 = 0. Let z be -1*o\/(3\/231). What is the highest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**8\/168 - 2*d**7\/35 + d**6\/5 - 4*d**5\/15 - 21*d**2\/2 - 8*d. Let n(q) be the first derivative of x(q). Factor n(g).\nAnswer: 2*g**2*(g - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 31*a**2 + 29*a - 93. Let m be y(-32). Suppose 22*s - 3*x = 24*s - 15, m*x + 3 = 4*s. Solve 8*i = s*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 13, c: 3}. What is prob of picking 1 b and 1 c?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8850 (b) -5 (c) -3\/8 (d) 149\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 9*i - 252 = 0. Let a be i\/(-12)*(-24)\/14. Let q(c) = -2*c**3 + 37*c**2 - 18*c + 10. Let n be q(a). Solve -n*h + 25 = -5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -82\/5 (b) -1\/4 (c) 5\/2 (d) -2.4 (e) 0.145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30397875 and 618.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 55.6042 * -9\nAnswer: -500.4378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -44, 94, 238, 358, 424, 406?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1437853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 9*g**2 + 8*g**2 - 7*g**2.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1414 - 38. Suppose 2*u = -4*a + x, -3*u + 334 = -2*a + 1030. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 10*v - 3*v - v as q*v + p and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3356302163 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 2*v + 15 + 23 - 9 + 7.\nAnswer: 2*v + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 263001 * -1.84\nAnswer: -483921.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -8. Let u = a + 3. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2)*(-k + 0*k + 2*k) - 9 + 9 + 4*k to the form l*k + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 585\/52)\/(11\/(-12) - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*x**3 + 81*x**2 + 21*x.\nAnswer: 3*x*(x + 1)*(20*x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i + 13*i + 109*i = 282. Factor 0 + 3\/7*d**4 + 0*d + 3\/7*d**5 - 3\/7*d**2 - 3\/7*d**i.\nAnswer: 3*d**2*(d - 1)*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 1. Let m be (-1 - h) + 16\/4. Let j be (112\/20)\/(m\/35). Calculate the greatest common factor of 28 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -22033 (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + -1.7. Suppose -5*m + 2*r - 5 - 5 = 0, 4*m + r = 5. Let n = 0.13 - -0.27. What is the nearest to 0 in m, z, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**4\/4 + a**3 + 3*a**2\/2 + 10*a. Factor d(n).\nAnswer: 3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 29203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 92*h**2 - 82*h + 1048. Determine w(-93).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x + 90*x - 101*x - 15*x**3 - 61*x**3.\nAnswer: -76*x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00027989817 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 115000352 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 651414656 to the power of 1\/4, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -414995 and -1.662.\nAnswer: -414996.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*l + 34. Suppose -2 = -l*q + 5*q. Let z = -501 + 502. Let t(u) = 2*u**2 - 2*u. Let x(j) = j. Determine q*x(i) + z*t(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 11:13 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/3, 0.4, 181, -21, 173 in ascending order.\nAnswer: -21, -1, -1\/3, 0.4, 173, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 157959765 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1678*w + 5 = -1673*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-9))\/((-1966)\/(-85521))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, g: 2, r: 2, v: 2}. What is prob of sequence nr?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/1*(-9)\/2. Let y(v) = v**2 + 7*v - 9. What are the prime factors of y(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228 and 516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 15. Let w be (42\/35)\/(t\/(-5)). Suppose -6*l + 2*a + 2 = -5*l, -16 = l + 4*a. Put 9, l, w in decreasing order.\nAnswer: 9, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -488969, 79, 3 in ascending order.\nAnswer: -488969, 3, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2208421, -2208422, -2208423, -2208424, -2208425, -2208426?\n\"Answer: -a - 2208420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -11.7. Which is the nearest to 1\/2? (a) 2 (b) z (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -1444.\nAnswer: 7220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 3*f - 56. Let t(s) be the first derivative of -s**2 + 0*s**3 + f + 3\/4*s**4 + 0*s. What is the second derivative of t(z) wrt z?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Suppose p*b = -b + 2. Suppose 36 = 6*g - b*g. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -2. Calculate the least common multiple of 20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, o: 5, f: 3, h: 3, z: 1, e: 1}. What is prob of picking 3 b?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39785 * 4.\nAnswer: 159140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26422 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 + (-11)\/33*-26. Let w(n) = 41*n - 4. Let c be w(-3). Is c equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - -13) + (0 - 1). Suppose -a*j + 6 + 4 = 0. Let d = 1 + 1. Solve -8 = d*q + j*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/9306 and -1\/1692.\nAnswer: 18612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - -12?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**2*s**2 + b**2*s - b**2 - 27*b*s**2 + 2*b*s - 319*s**2 - 4284 wrt s?\nAnswer: -2*b**2 - 54*b - 638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 9*c = -150. Suppose 4*d = 3*t - c, -4*t - 3*d + 122 = t. Suppose 0*a - 2*x + t = 3*a, 34 = 4*a - 2*x. Solve -a = -5*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25486.14 and -0.05.\nAnswer: -1274.307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.211 - -18.111. Let x = d - 18. What is the closest to 1 in x, -4\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - -96. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34923703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -472.98 + 473. What is the closest to 1 in -1\/10, -2, s, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 0. Calculate the greatest common factor of 144 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 4*v**2 - 6*v + 1. Suppose -5*c + 18 = -4*z, 4*c - 4*z - 12 + 0 = 0. Suppose -x - c + 1 = 0. What is p(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.43095 + 0.411029. Let r = -0.02 - x. Round r to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 207 and 108376?\nAnswer: 975384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {q: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385, 621, 1015, 1567, 2277, 3145?\nAnswer: 4171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.173613365 to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 7. Let y(x) = -x**2 + x. Let t(j) = 6*j**2 - 7*j. Suppose 32 = 3*i - 10. Calculate i*y(l) + p*t(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16029?\nAnswer: 3, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/65586723?\nAnswer: -2\/65586723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2324 + 2523. What is the remainder when g is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -36470323?\nAnswer: -36470325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31524 by -37.\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2629327 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 738 - 735. Solve 30 = -9*y + z*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531 = 115*s + 504 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {n: 10, z: 9}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z + 9 = 4*q, -12 = 4*q - 4*z. Let d(c) = q*c - 2*c + 3*c. Let h(o) be the first derivative of 2*o**3\/3 + 6. Give d(h(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/72 and -19\/1904.\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-1*-4*-3)\/((sqrt(4) - sqrt(36)*5) + sqrt(100)*2).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9140?\nAnswer: 2, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47561340 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3766465*w**2 + 1815540*w.\nAnswer: -7532930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1.9. Let p = -35.9 - -36.4. What is the third smallest value in v, -1\/5, -2\/3, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npc when three letters picked without replacement from {c: 1, p: 1, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3903*f**5 + 1409*f**4 - 24178069*f wrt f.\nAnswer: 78060*f**3 + 16908*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1530, 3043, 4530, 5997, 7450?\nAnswer: 8895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 7*x + 4*f + 8 - 16 = -10, 8*x + 4*f - 8 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**5 - 10150*a**4 - 5026460*a**3 + 128016130*a**2 + 744775265*a + 611742820 = 0 for a.\nAnswer: -1027, -4, -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -3*x + 68, -3*f - 2*x + 104 - 63 = 0 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 3*l - 366. Is 18\/81 - l\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5124 = -0*v + 2*v, -q = -v + 2571. Suppose -2*u + v = 5*l, 0 = l + 2*u - 201 - 311. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 361*b**3 + 198*b**2 - 119*b + 579563445?\nAnswer: 1083*b**2 + 396*b - 119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -11919790 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 342 = -5*p, -2*p = 2*p + 5*d + 282. Let s(q) = -5*q + 47. Let o be s(-14). Let i = o + p. Calculate the highest common divisor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 4648.\nAnswer: -1\/2324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 938246895 by -1468305.\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/7098 and -8\/72345.\nAnswer: 1880970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dppk when four letters picked without replacement from ckpkdpkpdpkpkpkpcdk.\nAnswer: 49\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/19 + 19386*v\/19 + 19388\/19.\nAnswer: -2*(v - 9694)*(v + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 9*u**2 + 77*u + 613. Give h(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c - 9*c + 3*c + 4*c + 1. Let d(l) = -38*l**3 + 12*l**2 - 10*l - 10. Let a(f) = d(f) + 10*o(f). What is the third derivative of a(y) wrt y?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 13*o - 24. Let w be z(15). Suppose 2*n - 3*l + 7*l + 20 = 0, 5*n + 10 = -2*l. Solve -m = -5, n = 3*c + m - 14 - w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343 + 228 = -52*v - 375. Suppose -5*r = -4*d - 54 + 12, -2*r = 3*d - 3. Put 2, v, r, 2\/11 in descending order.\nAnswer: r, 2, 2\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/6*(-2)\/60*-16\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 14 = b + 3, -4*b = 16 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11263?\nAnswer: 7, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 7:12 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120831493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = f + 5*h, 0 = -f - 3*h - 4 - 0. Let b(s) = f*s**2 - s**2 - 4*s + 2*s + 7*s + 1. What is b(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -6*o + 396. What are the prime factors of o?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, -2, -2\/13, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 18*s**2 + 14*s - 6. Let h be p(19). Let t = h - -144. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, l: 3, o: 5, s: 1, r: 3, z: 1}. Give prob of sequence doz.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003168205 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209 - 67 - 69 - 73 + 27*u.\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*q**2 + 848*q - 1408.\nAnswer: 4*(q + 44)*(5*q - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4\/3 + 40*n**3\/3 + 15*n**2 - 160*n\/3 - 164\/3 = 0. What is n?\nAnswer: -2, -1, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 27*c - 9. Let y(s) = -13*s + 6. Calculate 3*l(k) + 5*y(k).\nAnswer: 16*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -107 + 4*d**2 + 57 + 50 + 19*d as m + k*d**2 + s*d and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1258, -1, 1096 in ascending order.\nAnswer: -1, 1096, 1258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*b + 3*b**2 - 6*b + 2 - 59*b**2 - 9*b - 10*b to the form i*b**2 + x + m*b and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -109, -1?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osod when four letters picked without replacement from {o: 2, d: 3, s: 1, t: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a689 + -2?\nAnswer: a687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -13*f**2 - 9*f - 9. Let x be y(-6). Let m be 11\/(-33) - x\/54. Suppose m*q - 5 + 5*q**2 = 0. What is q?\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*u - k, 3*u - u = -3*k + 7. Suppose -b + s - 2 = -s, -2*b - u = -5*s. What is the smallest value in 1\/6, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 217 - 213. Suppose 0 = -3*c + 5*y - 161699995, 7 - 11 = o*y. What is c rounded to the nearest one million?\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15120106301.8 from -0.1.\nAnswer: 15120106301.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-10 - (2 - (8 + -13) - -1))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54915.5 centuries to years.\nAnswer: 5491550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -7*u**5\/3 - 313*u**4\/3 - 2948*u**3\/3 + 4228*u**2\/3 - 320*u = 0.\nAnswer: -30, -16, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2794578 is divided by 931525?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 3*b - 3*b. Solve 0 = 2*h - b*h + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4798?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 6*w - 8. Let x be q(5). Let c = -0.3 - -0.8. Put c, 2\/15, x in decreasing order.\nAnswer: c, 2\/15, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.844795 kilometers in meters?\nAnswer: 7844.795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5133 - 0.1133. Suppose 10*j + 17*j - 756 = 0. Which is the biggest value? (a) v (b) j (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1158.44 take away -30.3?\nAnswer: -1128.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(-4\/7))\/((k*(k\/k**(2\/11))\/k)\/k*k))\/((k*k*k*k**(-5)\/k)\/(k*k**(-2\/9)*k)))**(-43))**(-2\/25) assuming k is positive.\nAnswer: k**(329638\/17325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(8\/4 - 3). Let z(m) = 5*m**3 + 14*m - 2. Let l(c) = 6*c**3 + 16*c - 2. Let t(k) = -6*l(k) + 7*z(k). Calculate t(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85547143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 790 - 823. Let j be 0\/1 + (-231)\/o. Let d(w) = w**3 - 6*w**2 - 7*w + 2. Give d(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.306 + 32.294. Let y = 30 - c. Let f = -2.9 - y. Sort -1, f, 2 in decreasing order.\nAnswer: 2, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2*n - 106, -3*d - n - 4*n + 153 = 0. Let c(m) = 49*m - 7. Let a be c(3). What is the greatest common factor of a and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 372 and 105.\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 239984*y**3 + 7*y**2 - 38806*y wrt y.\nAnswer: 1439904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/72 and -109\/12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4)*(-32712)\/58 - 8*1. Solve -28*m = -63 - y for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - -9. Calculate the remainder when o is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (19 - 11 - 15)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*q + 128520 = 401*q. What is the highest common factor of 3960 and q?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36905 - -37040. Solve k = 4*a + 119 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 2*u**2 - 2*u)*(3*u - u + u) - 4*u**2 + 4*u**2 + 16*u**3 as t*u**3 + h*u + f + n*u**2 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-10 + 28 + -13).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*3 + 29\/9. Suppose -23 = -w + 5*z, -3*w - z = 1 + 10. Let t be (2 - 4) + 0 - w. What is the biggest value in i, -4, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101110100011001101010 (base 2) to base 6\nAnswer: 205350510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -410237 plus -0.9?\nAnswer: -410237.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(200)\/sqrt(5) - -1*(sqrt(40) - -1*sqrt(40)))\/(-5*sqrt(200) - 2*sqrt(8)*-3))**2 + -3.\nAnswer: -903\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28\/(-6)*72\/(-28). Let m = -8 + x. Factor 2*p**4 + 10*p**2 + 4*p**3 - p**3 + 5*p**3 + m*p.\nAnswer: 2*p*(p + 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0 + 196. Let f = -9 + a. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3208 = -23*k + 2312. Suppose -4*a = -p + k + 341, 0 = -5*p - a + 2821. List the prime factors of p.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 5:57 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010476247156 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94614 + 660354\/7. Let j = -7223\/28 - u. Find the common denominator of 7 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-3)*i*i\/i**(2\/91)*(i\/i**25)\/i**(-26) assuming i is positive.\nAnswer: i**(726\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 87. Let w(k) = 83*k - 22*k - 7*k**2 - 35*k - 26*k. Give b(w(i)).\nAnswer: 7*i**2 + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**2 + 248662072*w + 3864551628208324 = 0. Calculate w.\nAnswer: -31082759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.5, -116 in increasing order.\nAnswer: -116, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 - -1209. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**7*i)\/(i\/i**(-3\/17)) assuming i is positive.\nAnswer: i**(-105\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 5:33 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*h + 134*h + 2 - 75*h + h**2.\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 816*w**2 + 6532*w - 14. Give q(-8).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -216?\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 15 = -4*u, -5*u = -2*f - 1 - 14. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 7:37 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 5*s**2 + 6*s - 16. What is u(-7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 2266?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, -4, -0.09, 2, 0.6, -16 in decreasing order.\nAnswer: 2, 0.8, 0.6, -0.09, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 754 = -b - b. Let u = 184 + b. Let g = u + 295. Calculate the remainder when g is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000566775102 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -9*j**2 - 303*j - 922. Calculate b(-3).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 2*c - 1. Let r be ((-28)\/35)\/((-2)\/5). Calculate j(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**3 + o**2 - o + 3. Suppose -n - 17 = -d + 2*n, d + 3*n + 7 = 0. Let w be g(d). Is 14 a factor of (w\/1)\/4 + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2199085994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5281\/10 + -147503\/280. What is the common denominator of 4\/7 and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 divided by 2?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwqhqrqwqhrqwwwwwqhq. Give prob of sequence wwwh.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3009*b - 3005*b - 16 + 15 + 6016*b - 5.\nAnswer: 2*b - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-105) - (6 - 74\/7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10c1 - -3?\nAnswer: -10bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d - 7. Suppose 2*w = q - 16, 3*w + w + 4*q + 20 = 0. Let f(i) = -2*i + 5. Let r(j) = w*f(j) - 5*v(j). Let u(c) = c. Calculate u(r(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h**2 + 144*h + 291. What is the remainder when 99 is divided by u(-2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -401831?\nAnswer: 401832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 289433291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 654 - -971. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*i - 6*i - 6*i)*(1 - 1 - 3*i) + 3*i - 3*i - 24*i**2)*(-4*i**2 + 4*i**2 + 2*i**2).\nAnswer: -6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*y = 2419, -184 = -2*l - 3*y - 1399. Round l to the nearest 10.\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315dba (base 15) in base 6?\nAnswer: 122201421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-23)\/(-4) - 2\/(-8). Let x(j) = 8*j - 4. Let g(i) = -4*i + 2. Let q(k) = n*x(k) + 11*g(k). Let u(d) = 4*d - 2. Let h be u(1). Determine q(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -36.33 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23432 - 3512 = -24*h + 48*h. What is the remainder when h is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 2825152.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*l + 3*s - 13, -5*s - 3 = -2*l. Let q(d) be the first derivative of -d + 1\/4*d**l + 7\/2*d**2 - 7\/3*d**3 + 11. What is q(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0568190578 rounded to four dps?\nAnswer: 0.0568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 7:39 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 13. Let x = 65924\/3 + -21974. Which is the biggest value? (a) x (b) -2 (c) r (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -324, -249, -172, -93, -12, 71, 156?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 (base 4) in base 14?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858722469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 334, 358, 406, 478, 574?\nAnswer: 694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6395*s**5 + 56*s**2 + s + 16.\nAnswer: -383700*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -7. Suppose -5*a = -5*l - 60, 0*l + 2*l = -3*a - 9. Let u be (-235)\/(-45) + 2\/l. Solve 0 = -q*f + 25 - u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.04 - 0.04. Let g = k + -3. Let t = g - 2.999999. Round t to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, -1\/73, 4, 0.1, 3, 2.\nAnswer: -3, -1\/73, 0.1, 2, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36635535.\nAnswer: 3, 5, 139, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -181*f**3 - 21*f**5 + 11*f + 0*f**5 + 181*f**3 wrt f?\nAnswer: -420*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 36*c**2 + 74*c - 74. Let g be m(-38). Solve 0*o = g*a + 2*o - 6, -3*o = -3*a - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -268526*y**6 + 135*y**4 - y**3 - 41*y**2 - 9417*y - 267 wrt y?\nAnswer: -32223120*y**3 + 3240*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -183\/2 - -93. Let f(b) be the first derivative of n*b**2 + 1 - 5*b. Differentiate f(k) with respect to k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4412 and 333106.\nAnswer: 2206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6069*s**2*w + 6612*s**2 - 2*w wrt w.\nAnswer: 6069*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821 is divided by 325?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**2 - 3*m - 2. Let b be d(-1). Let j be 8\/b*(-50625)\/(-30). Round j to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*y, -o + y = -4*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 191*x + 3964734 - 3962633 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15597439 is divided by 4950?\nAnswer: 4939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 11*m)*(0*m**3 + m**3 + 0*m**3) + (-4*m + 7*m**2 + 4*m)*(0*m**2 - m**2 + 0*m**2).\nAnswer: -18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -2039a?\nAnswer: -2039b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*p**3*y - 2314*p**3 + 26006*y wrt p.\nAnswer: -12*p**2*y - 6942*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 420, -507, -2052, -4215, -6996, -10395?\n\"Answer: -309*c**2 + 729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*g*r**4 + 2*g*r**2 + 1756653*g*r - 6374*r**2 wrt r?\nAnswer: -336*g*r**2 + 4*g - 12748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*q. Let x(j) = j**3 - j - 2. Determine x(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*w - 2*j = -100*w - 618, 0 = 4*w + 5*j - 1236. Solve w = 32*p + 53 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 3*t**2 + 4*t - 4. Let o be k(3). Suppose -c + 2*s + o = 0, -2*c = -3*c - 4*s - 16. Let a = c + 3. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 936*j**2 - 26380*j + 171600.\nAnswer: 4*(j - 15)*(j - 11)*(j + 260)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11503 (base 9) to base 8.\nAnswer: -17022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1014989 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -97*b - 91*b + 31*b - 36*b - 518 wrt b.\nAnswer: -193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 309 - 287. Suppose -2*j = -4*c + h, -3*j - 10 - 2 = -3*c. What is the remainder when 31 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 0*v - 338. Suppose -158*k + v*k - 231 = 0. Solve -6*z = z + k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 159 + 160 + 160 + 64*x**2 - 478 + 3*x**3 - x**3 to the form f*x**2 + b*x + a*x**3 + c and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1083 and 2003189.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 11*r**4\/8 - 2*r**2 - 20*r. Let y(m) = 2 + 10 - m - 12. Determine t(y(n)).\nAnswer: -33*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/5 of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1438*q + 22363. What is w(-16)?\nAnswer: -645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 356\/18 + (-2)\/(-9). Solve -3*h + a = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 6*s - 5. Let u = 16 + -11. What is i(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 135?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*w = -315 - 87. Let l(c) be the third derivative of -w*c**2 + 0*c - 23\/60*c**5 + 0*c**3 + 0*c**4 + 0. Let r(x) = -2*x**2. Determine r(l(d)).\nAnswer: -1058*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2322475 (base 9) in base 4?\nAnswer: 10302121121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrt when three letters picked without replacement from {t: 3, r: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5799.9 and -1.364.\nAnswer: 7911.0636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1615?\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = o. Suppose 5*z = -0*z. Suppose y = -1, 1 = n + 3*y - z. Solve -n*q + o*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 222742 + -2450160\/11. Suppose 2*w = -2*w + p - 7, -2 = 3*w - 4*p. Let n be (-2 - 5\/w)*0. What is the closest to v in 0.3, 2, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5*z*z**(6\/11))\/((z\/(z**(-3)\/z*z))\/z*z**(-1\/4)))**(-32) assuming z is positive.\nAnswer: z**(-1336\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*((-65030)\/21)\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 - 57 - -179 - 99.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 0 - 53\/12*r**4 + 0*r**2 + 38*r + 0*r**5 - 1\/3*r**3 + 1\/14*r**7 - 4\/15*r**6. Find the third derivative of m(s) wrt s.\nAnswer: 180*s**2 - 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 1991080.\nAnswer: 5973240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7873*s**5 - 3*s**4*z + s**4 - 2456*s**2*z - 2*s*z + 7*z wrt s?\nAnswer: -472380*s**2 - 72*s*z + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/(3\/(-438)). Suppose 4*g = -5*x - y, -x - 5*g = -2*x - 3. Let i = x + 27. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w + 54. Let v be j(10). Solve -2 = 3*s + v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28923566789\/190342572 + 1245282\/8309. Let j = 1\/1909 + t. Find the common denominator of j and 41\/124.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + r - 10 = 0, r + 2 = 4*i + 3. Let x be i\/(-1)*-3*2. Differentiate -2*n**2 - 4 - 4 + x with respect to n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 671072?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (23 + -22)*(0 + 0). Suppose 9*h = -s*h + 27. Is (h + 791)*(21\/(-6) - -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627436 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 173162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -178 or -303?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15375 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1785 + 229 = 0. Let n = -534 + z. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*1.6542369.\nAnswer: 0.66169476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*f + 49*f - 2*r - 5 = 0, 4*r = 3*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + b + 1 = 0, 2*v + b - 126 = -121 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/51)\/((-10)\/85)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 206511 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 612.155218 and -14.161?\nAnswer: 626.316218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) -539 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -9. Let z be a\/15 + 68\/(-5). Let w = z + 26. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153691824 and 1320?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*g**4 - 643294*g**3 - 206935462*g wrt g.\nAnswer: -168*g**2 - 3859764*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 - p**4 - 976*p**3 - 971*p**3 + 1946*p**3 + 5 + 30*p - 6*p as r*p + i*p**4 + v*p**3 + q + a*p**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 150 - 111. Let i = 39.8 - j. What is the biggest value in i, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5284*s**3 - 5292*s**3 + 15867*s**3 - 5286*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 n, and 2 e when four letters picked without replacement from ieenemhhiihhihrh.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 657417?\nAnswer: 657425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*i + 9. Let c be 1 - -2 - (-4 + i). Let b(r) = 9*r - 6. Is 10 a factor of b(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -726, -727, -728, -729, -730?\nAnswer: -731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -369.3 and -7401.\nAnswer: 2733189.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2. Let g(j) = 19*j**2. Let h(b) = -39*b**2. Let a(s) = 9*g(s) + 4*h(s). Give c(a(p)).\nAnswer: 225*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -25. Let o(u) = u - 5. Let v be o(7). Suppose 3*m - 370 = v*n, n = 2*m - 0*n - 248. Calculate the greatest common factor of m and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, z: 2, b: 1, a: 4, y: 1, i: 1}. Give prob of picking 1 i, 1 b, and 2 z.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3110, 3178, 3280, 3410, 3562, 3730, 3908?\nAnswer: 4090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -9152740 to the nearest 10000.\nAnswer: -9150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 - 35*f + 76. Let d be n(4). Solve -q - 22*q - 69 = d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1743 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -31*u**2 + 299*u - 137. Calculate p(-4).\nAnswer: -1829","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 487 = -1790. List the prime factors of t.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1377*u = -4319*u + 123564 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q + 9. Let a(t) = 7*t + 1531. What is a(y) - 4*n(y)?\nAnswer: -y + 1495","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 - -92. Let y = 48 + z. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 138 + 64 = 24*p, -3*p = 5*h - 3*h - 34 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -129, -287, -447, -609, -773, -939, -1107?\n\"Answer: -p**2 - 155*p + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*a - 128. Let f = a + 78. Find the third derivative of 638*i**3 + 15*i**4 + 13*i**2 - 638*i**f wrt i.\nAnswer: 360*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -0.3. Let g = 3244 + -3250. Which is the second smallest value? (a) 1 (b) -0.4 (c) q (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 672849*l - 11 - 9 + 124*l**2 - 672849*l as n*l**2 + g*l + t and give n.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 88589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-991 + 484 - 735)*(2*x - 2*x + x**2) in the form i*x + n*x**2 + h and give n.\nAnswer: -1242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 125, 248, 413?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 3*n**2 + n + 1. Let t(o) = o**3 + 2*o**2 + o + 1. Suppose -5*c = -c + 8. Let g(y) = c*t(y) + 3*m(y). Calculate g(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -247*z + 243*z + 32 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + k)*(-5 + 1 + 5) + 17*k + 29*k - 54*k - 4.\nAnswer: -7*k - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffvf when four letters picked without replacement from ffffffvffffffffffffv.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from csszillssil.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - 7*u + 23. Let t be r(-17). Suppose -t = -47*p - 250. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1, -0.3, -10\/7, 5 in decreasing order.\nAnswer: 5, 1, 0.3, -0.3, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 502\/5? (a) 2\/5 (b) -1.43 (c) -0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/1830 and -2\/7625.\nAnswer: 45750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-105)\/28)\/(-5))\/(3\/1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*d - 35 = -74 - 285. Let m(o) = o + 18. Let s(x) = -1. Determine d*s(v) + m(v).\nAnswer: v + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**2 + 0 - 51*s + 1\/12*s**5 + 5\/24*s**4 - 10*s**3. Solve n(g) = 0 for g.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2 + 4*u - 3*u + 5*u**2 + 2*u - 7. Let j(h) = h**2 + h - 1. Let l be (-9)\/(324\/(-66)) + (-25)\/30. Determine l*q(r) - 4*j(r).\nAnswer: r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0517 or -8.098?\nAnswer: -0.0517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*a - 23 - 53. Solve -5*b - 26 = -q, 4*b - 4*q = a*b - 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/16 + -4 + 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = h - 2*d - 30, 3*h - 116 = -2*d. What is the common denominator of -2 - 75\/h - 0 and 107\/26?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 444890 and 510.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 27, -134242 in increasing order.\nAnswer: -134242, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -85\/23 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01078828 rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218, -439, -670, -911, -1162?\nAnswer: -1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(3\/17))\/((g\/g**(-5\/3))\/g*g))\/((g\/(g\/(g\/((g\/(g*g**27))\/g))))\/g*g**(21\/4)) assuming g is positive.\nAnswer: g**(-7087\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6\/5 - 37\/35. Suppose -10 = -3*q - 1. Let v be q\/9 + (-16)\/3. Which is the closest to 0.1? (a) -0.2 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (11 + 7\/(49\/(-9315432)))\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -15*w**5 + 85*w**4 + 65*w**3 - 465*w**2 - 710*w - 280 = 0.\nAnswer: -1, 4, 14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (240 - 240 - 432*v)*(-3*v + 7*v + 9*v).\nAnswer: -5616*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.05 - 11.55. What is the third biggest value in 237, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 1479?\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4176 divided by 261\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 977 = -1831. Let u = b + -207. Calculate the remainder when u is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 10) + 7772\/435 + 4*-2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**4\/8 + m**3\/6 + 32*m**2. Calculate k(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*f = 95*f - 18 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*r + 6024 = -281*r. Suppose 3*f = 5*s - 2271, -f + 4*s = -0*f + 764. Let d = r - f. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 = -1. Let i(d) = -1 + j + 2*d. Let o(n) = 10*n**2 - 12*n + 6. Let m(p) = 19*p**2 - 22*p + 11. Let c(k) = 6*m(k) - 11*o(k). Give i(c(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 91785 and -0.2?\nAnswer: -18357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 0*n + 0 + 0*n**3 - 6*n**2 + 5\/24*n**4. Let d(a) = -a. What is d(w(x))?\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*d = 134*d + 60. Factor -d*j**2 + 10*j + 14 + 7*j**2 - 19.\nAnswer: -5*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*g**4 - 27*g**4 - 2 + g**2 - 8*g**2 + g**2 + 6*g + 8*g**2 + g**3 in the form x*g**4 + w*g**2 + t + i*g + n*g**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 31*l**2 + 296*l + 904. Determine j(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**3 - 30315*l**2 - 78032376*l - 7286644656 = 0.\nAnswer: -5004, -97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 56040 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2347 + 3194. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 11, 4, -5 in descending order.\nAnswer: 11, 8, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from {f: 8, l: 3, n: 1, x: 6}?\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 331 + -205. Let d be 9\/12*336\/o. Solve -d = -c + s + 6, 0 = -2*c - 5*s - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + -1 + sqrt(19).\nAnswer: sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 8:31 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + v - 10 = -0*v, -2*v = 5*a - 18. Suppose -277 = -a*i - 125. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32c7 (base 16) in base 9?\nAnswer: 18743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 53 divided by 4\nAnswer: 53\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -3*k**2 + 1\/4*k**4 + 2*k**3 + 7*k - 5. Let x be j(-7). Solve -4 = -4*o - x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.41 + -2.5. Let r = 0.08992 + p. What is r rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 76? (a) 4 (b) 1 (c) -1\/2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -3*t + 5*n - 5, 0 = -t + n + 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 127 = 51*o - 54*o, -2*o = 4*y + 274. Sort y, 2, -5, 5 in descending order.\nAnswer: 5, 2, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.99996 + 8. Round h to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821805 a multiple of 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q**3 + 8*q**2 + 8*q + 5. Let x(c) = -6*c**3 + 11*c**2 + 9*c + 6. Determine 4*t(a) - 3*x(a).\nAnswer: -2*a**3 - a**2 + 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 416513 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -631 + -5?\nAnswer: -636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2286563 by -37.\nAnswer: -61799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4381561721 to the power of 1\/2, to the nearest integer?\nAnswer: 66193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**2 + 58430*y + 36214200 = 0.\nAnswer: -590, 12276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 15*w + 282. Let f(y) = -11*y - 212. Calculate 8*a(m) + 11*f(m).\nAnswer: -m - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 649 = 2*k, -1284 = -27*o + 29*o - 3*k. Let z = o - -807. Calculate the greatest common divisor of 378 and z.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 208684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37199.\nAnswer: 37199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = t + 10. Let g(l) = 5*l**2 + 18*l - 6. Let y be g(t). Suppose y + 3 = 4*r. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - j + 2. Give a(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 9*k - 6*k. Let s(v) = v**3 + 14*v**2 - v - 10. Let w be s(k). Suppose 5*j - 1 - 1 = 3*n, 2*n - w = -2*j. Solve 3 - n = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70971 = 17*w + 9720. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 + r**2 - r + 1. Let h(v) = -v**3 + 22*v**2 - 5*v + 2. What is 4*g(l) - h(l)?\nAnswer: 13*l**3 - 18*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w - 292 = -176 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + u**2 + 3*u + 4. Let y be t(3). Is (-1014)\/y + 12\/60 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 176, 21, 2, 93, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(252) + -4 + (-2*(sqrt(252)*-2 + sqrt(252)))**2)*-3 - (sqrt(252) - (-2*(4*sqrt(252))**2 + sqrt(252)) - ((-1 + sqrt(252) + sqrt(252))*5)**2).\nAnswer: -636*sqrt(7) + 14149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*t + 6098, 4*t + 30 = 18. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, m: 1, f: 1, v: 1, o: 1}. Give prob of sequence mh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1 = 5. Let a be ((-35)\/70)\/(-1 + 5\/4). Suppose 0 = -3*q - 5*y - 10, 0 = -5*q - y - 3 + 23. Put h, q, a, 3 in increasing order.\nAnswer: a, h, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5053.28160626 from -0.2.\nAnswer: -5053.48160626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05, -0.3, -4, -5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2074529333?\nAnswer: 71, 29218723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 19, 23, 27, 31?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 5*k = -85, -2*n - 3*k + 141 - 173 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 14231.534 to the nearest ten.\nAnswer: 14230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sls when three letters picked without replacement from {l: 6, s: 3, w: 5, f: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.39 + -0.66. Let m = 2.6 - k. Let h = 0.63 + m. Sort -6, h, -4 in descending order.\nAnswer: h, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + 4*t + 22*t**2 + 17*t**2 - 46*t**2 + 8*t**2 - 87 + 2*t**3 in the form a*t**3 + k + u*t + f*t**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (228 - 7*m + 226 - 449 - 5*m**2)*(3*m + 3*m - 3*m).\nAnswer: -15*m**3 - 21*m**2 + 15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 - 107 - 49)*(-136*t + 4 + 12 + 134*t) in the form o + w*t and give w.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/54, 3, -1\/27882?\nAnswer: -1\/27882","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r = -55. Let d(c) = c**2 - 5*c - 8. Let i be d(r). Suppose a = -a - 2*y + i, 45 = a + 5*y. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 1, -4 in ascending order.\nAnswer: -4, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 3*d + 2*d**4)*(151*d + 2622*d + 24*d).\nAnswer: 5594*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*g - 328, 246 = 2*g - 4*i + 100. Let u = g + -38. Let a = 65 - u. What is the remainder when a is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03132571 to 4 dps.\nAnswer: 0.0313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, f: 2, c: 2, h: 4, g: 1}. What is prob of sequence hckh?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - ((-6)\/8 - (-246)\/(-24)). Solve 10 = -3*z - 3*r + v*r, 0 = -5*z - r - 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 12*o**2 + o + 14. Let c be k(12). Let m = c - 19. Let q = m + 3. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from nttnntntttt.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7\/59 (b) -2\/5 (c) 3 (d) -0.2 (e) -12\/29 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 181 - 79*f - 364 + 131 wrt f.\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -v + g, 4*g - 3*g = -4*v - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4*n\/(n*n\/(n**(6\/5)*n))*(n\/n**1)**(-8\/7))\/((n**(1\/14)\/n*n**(-2\/9))\/(n*n**(1\/5)*n*n*n**(-2)*n)) assuming n is positive.\nAnswer: n**(5387\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**2*s + 4*q**2 + 17*q*s - 293*s - 4 wrt q.\nAnswer: 4*q*s + 8*q + 17*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-373)\/(-2)*(24 - 2) - 4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2*(6063\/756 - 8) and 14\/129.\nAnswer: 5418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 1013303113143?\nAnswer: -1013303113140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 47696, 47741, 47786, 47831, 47876, 47921?\n\"Answer: 45*n + 47651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 41. Put 0, j, -7 in ascending order.\nAnswer: -7, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-444 - 82 - 324)*(0*x + 4*x + 3*x) + (x + x - 4*x)*(2 + 2 - 2)*(-2 + 3 + 0).\nAnswer: -5954*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/5 and 89\/268.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010001110 + -10?\nAnswer: 110010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 244 - 224. Solve -y = -6*u + u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*f - 605 = -316 - 175 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + n. Suppose 4*m - 63 = 5*x, 3*x = 5*m - 28 - 41. Suppose m = 4*k - 4*w, -w + 2*w = 4*k - 6. Let i be t(k). Round i to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 43*q**2 - q + 38. What is the remainder when o(-43) is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**3\/5 + 19596924*j**2\/5 + 19596928*j\/5 = 0 for j.\nAnswer: -1, 0, 4899232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -11 (b) 2\/49 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1488 times 0.7\nAnswer: -1041.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14318 - -41456. Let y be (j\/(-3180))\/((-6)\/5). Let u = 134\/53 - y. Calculate the common denominator of 9\/20 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x + 2*x - x - 3 - 4*x. What is the remainder when p(4) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 981250 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21966379?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2259234 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404*b = -400*b - 132. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 + 7*m + 15. Let s = -21 + 10. Let q(h) = 2*h**2 - 7*h. Let x(i) = -6*i**2 + 32*i + 8. Let b(z) = -4*q(z) - x(z). Calculate s*b(v) - 6*u(v).\nAnswer: -2*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/52 and -81\/1378?\nAnswer: 2756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 12*b**2 - 13*b + 27. Let k be n(11). Suppose 10 = -k*d, -2*t - 2*d + 7*d = -22. Solve 3*l = -j - 6 - 4, -l + j = t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iill when four letters picked without replacement from {i: 10, l: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a factor of 3465450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 l when four letters picked without replacement from {x: 1, l: 7, r: 2, v: 3, i: 1, t: 4}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -227 (b) 1\/3 (c) -3 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1))**30*v\/v**(3\/2)*v**(1\/2))**16 assuming v is positive.\nAnswer: v**960","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5184 and 612.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + sqrt(153)*-1*-4 + 5 + (((sqrt(153) - 2*sqrt(153))*6 - sqrt(153)) + sqrt(153) - (-3 + sqrt(153)*3))))**2.\nAnswer: -5400*sqrt(17) + 138600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in 2, -1\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 45. Sort -1, w, 0.1, -2\/5 in decreasing order.\nAnswer: 0.1, w, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = m + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 3, 0.1, -3\/5011, -15\/7?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.068 in 4, -0.4, -0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1316046 divided by 1263.\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 5*i. Let w be b(-5). Suppose w = -5*q + 67 - 17. Let o be (1\/(-1))\/((-1)\/70). Calculate the greatest common factor of q and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-84))\/(18\/(-24)). Which is the biggest value? (a) g (b) -2\/3 (c) -1\/2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 60 = -y. Suppose -4*p + y = p. Suppose 0 = p*b - 3*b - 48. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 2. Let v(a) = 4*a + 3. Let l(z) = -3*m(z) + 2*v(z). Let o(j) = 15*j - 6*j + 4*j - 5*j. What is o(l(g))?\nAnswer: 40*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l - 1. Suppose 0*o = -5*o. Suppose o = z - 0*z. Suppose z = c - 6 - 0. Give r(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 22 = 2*q. Suppose -6*f + 7 = -71. Calculate the remainder when (2 - 1)\/(q\/253) is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 323 (base 4) to base 15\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) + sqrt(100)*-1)\/(6*sqrt(15)\/sqrt(3))*-4 + 1.\nAnswer: 1 + 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37315677*i**3 + 216*i**2 + 38813*i.\nAnswer: 223894062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x*x**(4\/13))\/x*x)\/x)**(-6\/13)*(x\/(x\/(x**(-15\/7)*x)))\/((x**(-16)*x)\/x))**(-2\/53) assuming x is positive.\nAnswer: x**(-33724\/62699)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 79428313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17173 and 903.\nAnswer: -15507219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 308 and 808423?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542 is divided by 337?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 614664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 6801?\nAnswer: 68010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 224055\/63 + 1 + -2. Let k = -3548 + h. Calculate the common denominator of (2\/3)\/(28\/(-162)) and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 0 + (-21)\/3. Is (-1)\/(((-6)\/(-898))\/q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + m - 1. Let l(p) = -25*p**2 - 7*p - 4. Let w(s) = -4*a(s) + l(s). What is the second derivative of w(b) wrt b?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9772474 and 5.\nAnswer: -48862370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8992 - -8987. Let m(x) be the second derivative of x**4\/12 + x**3 + 5*x**2\/2 + x. Give m(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42745 and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from {l: 3, i: 1, w: 2, p: 1, q: 2, g: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*p + 101*p + 20 = -5*n, 2*n = -p - 2 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 727202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 688 a factor of 867712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 111001101?\nAnswer: 111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -17 - ((29 - 25) + -60).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 35. Suppose 5*d + 0 = n. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 7:46 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.8, 0.264?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6*z + 5*m = 391, 2*z = -4*m + 260. Calculate the remainder when (z\/(-10))\/(-6 - 1422\/(-240)) is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 9:09 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 15*g = 48. Let n = -20 - g. Suppose -5*q = -4*x, n*q + 5*x + 8 = 49. Solve 19 = 5*r - 4*v, q*v + 11 = 2*r + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 405 + 409 - 808, 4*n + 78 = -3*m for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 8*j - 5. Let t(c) = -c - 1. Let o(f) = 6*t(f) + w(f). Let x be o(-5). Solve 2 + 2 = -x*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 95786 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 13 = -8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 q when three letters picked without replacement from rxfqqoxr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2436)\/145)\/(((-126)\/(-60) - 3)\/((-6)\/(-2)))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7410.671 rounded to the nearest one hundred?\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 - 12458*h**3 + 51729768*h**2 - 71576747350*h - 71628489577.\nAnswer: (h - 4153)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/4037 and -47\/10.\nAnswer: 40370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.385 - 0.38283. Round i to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**3 + 2*u**2 - 3*u + 2. Let h be j(1). Let r = 19 + 16. Calculate the highest common divisor of r and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -46*u + 16. Let d be (14\/21)\/(4\/(-18)). Let b(c) = 9*c - 3. Determine d*x(v) - 16*b(v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16629 - -2189.3.\nAnswer: -14439.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15422*n - 6060*n + 3970188 - 1005672 for n.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -620 + 620.1465. Let o = x + -0.15. What is o rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**6\/720 - q**5\/240 - q**4\/24 - q**3 - 1. Let s(l) be the third derivative of w(l). Factor s(k).\nAnswer: (k - 2)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a - 10656?\nAnswer: -1060b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (0 + -2 - 10). Let m = l + 13. What is the remainder when 17 is divided by (-30)\/m*(-54)\/45?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 2*p + 25 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 537228?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101446 is divided by 25345.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -18, 0, -1, -4, -216 in descending order.\nAnswer: 17, 0, -1, -4, -18, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4691\/5 - -939. Which is the nearest to 2\/3? (a) -0.1 (b) h (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) -2 (c) 0 (d) 43 (e) -192\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -279*a**2*t - 11*a**2 + 1 wrt t.\nAnswer: -279*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.883041um?\nAnswer: 0.000000000883041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - ((sqrt(300) - (1 + sqrt(300))) + sqrt(300)))*-3 + 1 + sqrt(300)*-1 + sqrt(300) + (-2 + -4 + -1 + sqrt(300))**2 + 5.\nAnswer: -140*sqrt(3) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2785 and 6911813?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -828 + 1107. What is the third derivative of -61968*i**5 - y*i**2 - 3*i**4 + 62166*i**5 + 3*i**4 wrt i?\nAnswer: 11880*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/27 or 1?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 11:08 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 496409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 9*s**6 - 43*s**3\/3 - 19. Find the third derivative of v(x) wrt x.\nAnswer: 3240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**5\/7 - 2*f**4 - 30*f**3\/7 - 26*f**2\/7 - 8*f\/7.\nAnswer: -2*f*(f + 1)**3*(f + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11846074 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 1 = -5*d. Suppose w - 1 - 1 = 0. Solve 0*r = -3*g - w*r - 11, d = -3*g + 5*r + 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5141312, 10282621, 15423930, 20565239, 25706548, 30847857?\n\"Answer: 5141309*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/22, 0, 0.1, 3, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**2. Let r(k) be the first derivative of k**5\/40 + 2*k**3\/3 + 2. Let v(t) be the third derivative of r(t). Determine l(v(p)).\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2.37675+34665\nAnswer: 34667.37675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22728620293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -80, -1\/8, -4?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 6:03 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 52*q - 870. What is i(11)?\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dgd when three letters picked without replacement from {d: 18, g: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3749662 by 1874831.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34945, 34937, 34915, 34873, 34805, 34705, 34567?\nAnswer: 34385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = -22. Let j = 20 + v. Solve -3*a + 4*w - 5 = j, -w - 4 - 12 = 5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/216*3 + 4\/(-9)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**2\/y)\/y)\/(y*(y**(-9)\/y)\/y))\/(y**4\/y*y**(2\/7)))**9 assuming y is positive.\nAnswer: y**(423\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065938519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1364436*i**2 + 3*i - 479293 wrt i.\nAnswer: 2728872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.448 - -8.448. Let n = 11 - 6. Which is the second smallest value? (a) 0.2 (b) -10 (c) n (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k**3 + 477 - 8*k**3 - 1068 + 591 - 2*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 11:55 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2 - 1364. Let p = 3 + -3. Let f be b(p). What is f rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 394\/1919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 7*p**3\/6 + 3*p**2 + 8*p. Differentiate m(s) wrt s.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -20*s - 522, -v + 237 + 240 = -28*s - 253 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 - 3*k + 4. Let j be r(2). Suppose 2*a - j = c - 5*c, -5*c = -5*a - 50. What is the greatest common factor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 5:18 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**4 + 0*c - 2\/5*c**5 - 12 + 0*c**3 + 1\/3*c**6 + 0*c**2. Find t such that g(t) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.9 or -13?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/17, -23\/9, 6.253 in descending order.\nAnswer: 6.253, 1\/17, -23\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 334938509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 41*h**6\/90 - 13*h**5\/20 - h**4\/18 - 2*h + 8. Factor x(d).\nAnswer: d**2*(d - 1)*(41*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1895, -1591, -1023, -191, 905, 2265?\nAnswer: 3889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1492 = -4*z, -g + 0 = 4. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 29787930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7327.674ng?\nAnswer: 0.000000007327674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*y + 2\/11*y**4 + 0*y**2 - 2\/11*y**3 = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -46\/3 and 25 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is d9 (base 15) in base 16?\nAnswer: cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12736487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -16757*g**2 - 1. Let b(d) = -d - 284. Give b(a(p)).\nAnswer: 16757*p**2 - 283","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3 + (-1 + 1 + 1)*(-5 + 5 + 2) + 2 + 1 - 1)*(a**4 + 2*a**5 - a**4).\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69696 and 96921?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(63)*3.\nAnswer: 5 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2296\/5767 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3116547796?\nAnswer: 2, 59, 13205711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10) - (25464\/(-2240) - 18\/4464*93)\nAnswer: 78\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*a = 91184 + 116311 - 55310. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * -2328.\nAnswer: -37248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 10:30 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-6)*k)*k\/(k**(-4)*k*k))\/(k**1\/k)**(-1\/4)*(k**4\/k**5)\/(k*k\/(k**(-2\/3)*k))**(-27) assuming k is positive.\nAnswer: k**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5322118 and 34342.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26030, -54192, -82354?\nAnswer: -110516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 8:49 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2670 and -20?\nAnswer: 53400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143\/2*t + 1\/2*t**3 - 1\/2*t**4 + 45 + 55\/2*t**2 = 0. What is t?\nAnswer: -5, -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1636)\/(-252) - 5) + 32 + (-5994)\/189.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + 0*h + 2*h)*(-2 + 2 - 2)*(-3 - 16*h**2 + 32*h**2 - 12*h**2) as d*h**3 + w*h**2 + z*h + u and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.492 - -0.382. Sort 4, r, -3\/7, -1\/3, 3 in decreasing order.\nAnswer: 4, 3, r, -1\/3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37109682?\nAnswer: 2, 3, 2061649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -2*h**3\/3 + 9*h**2\/2 - 17*h + 1162. Give v(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12378656 and 9979.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 77 and -51234?\nAnswer: -3945018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -47 + -10 + 19 - 16\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(5\/4)*w)\/w)\/(w\/(w**(-18)*w)))**(-2\/13) assuming w is positive.\nAnswer: w**(67\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.552441ml in litres?\nAnswer: 0.002552441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -532 - -288. Let m be (-2)\/3 - (-52)\/(-3). What is the remainder when k\/6*m\/12 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -159 + 161. Suppose b = 4*c - 3, 1 = -x*c + 2*b - 5. Solve 4*d - 10 = c*t, t + 5*d = 4*t + 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d - 180 = 47*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -208, -146, -22, 194, 532, 1022, 1694?\n\"Answer: 5*i**3 + i**2 + 24*i - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 10\/(-40)) + 363\/(-121).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 28 - 19. Suppose 528 = 19*y - 31*y. Let l = y + k. Solve 2*d = -l*x + 22, -5*x + x - 3*d = -31 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 374, 0.1 in decreasing order.\nAnswer: 374, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 7*v - 110. Suppose -10*g - v = -15*g. Solve 3*p = -g - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*v = -416. Let i = 57 + v. What is the remainder when 12 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -159*u - 16. Let c be t(7). Let j = 3599\/3 + c. Let b = 70 - j. Which is smaller: 2\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(700) + 2)*-2 - (-1 + -2*sqrt(700) - ((-2 + sqrt(700))*-3)**2).\nAnswer: -300*sqrt(7) + 6325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-2 - (-423)\/(-3)). Let y = w - -5509\/38. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147.9 + -1.464907444.\nAnswer: -149.364907444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z = 4*r - 36*z - 22, -2*z - 20 = 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 1 = 3*x, -666*x + 59 = -663*x - 3*m + 65 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 6)*(47 - 19 - 29)*(-73 - 3*o + 73) to the form q + i*o and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 570*n - 188133. What is l(330)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 26 = -4*w, 5*r + 16 = 3*r - 5*w. Let x(y) = -38*y**r + 1866*y - 1866*y. Let n(c) = -2*c**2. Determine x(n(q)).\nAnswer: -152*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = w - 68, -5*w - 3*l - 2*l + 370 = 0. Suppose 5*s - 3*r = 109, -w = -4*s - 0*s - 3*r. Suppose -2*d = -7*d + s. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 59. Solve -5*o - a - 3 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 7:00 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 902147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 208044550 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n = w + 6, w - 2*n = 15. Suppose w = -3*i - 3. Let v = i + 6. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 4*c**2 - 4*c - 5. Let l be p(5). Let j = -6 + 4. Let g = l - j. What is the greatest common factor of g and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 448888716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x + 25520 - 25400 = 0 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -39605*t - 6772400. Determine c(-171).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 + h**2 - h + 7. Let r(p) = -26819*p**3 + 12378*p**2 - 12378*p + 86646. Determine -r(i) + 12378*y(i).\nAnswer: 2063*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -207 + 3 + 32*h**3 + h + 33*h**3 - 63*h**3 to x*h + r*h**3 + p*h**2 + j and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3. Let l(n) = -21*n + 117. Let z(y) = -2*l(y) + 78*x(y). Let w(t) = -12*t. Give w(z(q)).\nAnswer: -504*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2843 is divided by 1387.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26873.\nAnswer: 7, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 184 + -87. What are the prime factors of t?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 5*s - 30, -3*y = -0*s - 4*s - 20. Suppose 52 = 4*b + y*t, -b - 3*t + 4*t + 3 = 0. Solve -d = 5*k - b + 37, 31 = -3*k - 4*d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1371926, -1371897, -1371850, -1371785, -1371702?\n\"Answer: 9*g**2 + 2*g - 1371937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - m, -3*z - 4*m + 0*m = 0. Suppose 3*w - 3 = -z*w. Let g(r) = w + 0 - 2 + r. What is g(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1843 - 3.1843. Which is the second smallest value? (a) t (b) 7 (c) 5 (d) -2\/55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*i + 135. Let c(q) = q**3 - 9*q**2 + 22*q - 33. Let v be c(6). Calculate the remainder when 38 is divided by 3\/(-2)*v\/(i\/(-230)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 612 and 818516?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139.0995251 rounded to two dps?\nAnswer: 1139.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*t**3 - 23*t**2 + t**4 + 17*t**2 - 22*t**4 + 2*t**4 - 14*t**4 = 0. What is t?\nAnswer: -2, -1\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 530593 - 0.00394.\nAnswer: 530592.99606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008993141 rounded to seven decimal places?\nAnswer: 0.0000899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 8*y**2 + 19\/3*y**3 + 0 + 0*y - 1\/24*y**4. What is the units digit of s(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45 and -0.409.\nAnswer: -18.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 62.1, 4, -66?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 11. Let j be l(-10). Let h = j + -17. Solve 5*f - 3*f = 5*r + 18, h*f = 2*r + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -593, -1344, -2383, -3704, -5301?\nAnswer: -7168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 4*k - 1676, 226*v - 227*v - 2*k = -338. What is the greatest common factor of v and 576?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116741\/12 - -9728. What is the closest to 1 in -5, 4, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46474 is divided by 15491.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 178178852 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2290*d**3 - 6*d**2 + 6*d + 1. What are the prime factors of r(1)?\nAnswer: 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -24, -4, 6, 14 in decreasing order.\nAnswer: 14, 6, -4, -11, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a59 - 32?\nAnswer: a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cue when three letters picked without replacement from cuurueuercruuruurru?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*b + 34, -2*b = 3*f + 31 - 6. Let a = 8 - b. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 1. Let k = 8 - f. What is the nearest to -1\/4 in 1\/8, -3\/2, k?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9696 + 9721. What is the fourth biggest value in -2\/3, 0.4, -3, b, -3\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1222015875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -211354 divided by 65.\nAnswer: -16258\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q + 31*q = -80. Suppose -3*w - 7 = -q. Suppose d = f + 18, -w*f = -4*d - 0*f + 69. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -5*c - 422 + 433, -5*c + 5*d - 25 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 66 + -159 + -3 + 18\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 12:14 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13\/2 + 37\/6. Let t = -0.468 - -0.471. Which is the third smallest value? (a) t (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.419167ng to micrograms.\nAnswer: 0.008419167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3271)\/(-6)*15\/(-906). Let b = -210\/151 + y. Calculate the common denominator of b and -99\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 + (-16)\/(-10)*(-215)\/86. Solve 0 = m + 5 - r, 0 = 3*g + 4*m - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 4.3?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*y + 148*y - 8970 = -545*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*35\/(-45)*4*(-12)\/(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -2\/3, -2.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(35) + (sqrt(2835) - -2*sqrt(2835) - sqrt(2835)))\/sqrt(5)*6.\nAnswer: 456*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(91) + (sqrt(91)*-2 + sqrt(91) - sqrt(91))) - sqrt(91))\/sqrt(7).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from {f: 1, c: 2, s: 9, v: 2}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 343, 1462, 3341, 5980, 9379?\n\"Answer: 380*f**2 - 21*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4967\/115 - 975\/23. Let m = 0 - -1. Which is the third biggest value? (a) m (b) l (c) 2\/9 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*x - 28, s + 6 = -x + 1. Let g(a) = -2*a**3 + 7*a**2 + 7*a + 6. Let w be g(s). Suppose 5 = -5*r - 0*r, -w = -4*b + 4*r. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6527558 or 6527520?\nAnswer: 6527520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, s: 8, v: 2, g: 2, i: 5}. Give prob of sequence gsgs.\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100015 + -99977 - (0 - -2 - -90).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 201380 times 3.23?\nAnswer: 650457.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-1820)*-13)\/((-30)\/(-7))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 312, 304, 282, 240, 172, 72, -66, -248?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17477406?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2206 and -4.5?\nAnswer: 2201.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1123507997.\nAnswer: 37, 30365081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130924776?\nAnswer: 2, 3, 59, 92461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(24)\/sqrt(32)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = -142 - 18. Let c = 19 + i. Suppose c*s = 9*s - 480. Is s a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + c**2 - 17*c + 21349. What is the ten thousands digit of o(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1500) + 2*sqrt(1500) + sqrt(1500) - sqrt(1500)) + sqrt(1500) + sqrt(1500) - sqrt(1500))\/sqrt(5)*4.\nAnswer: 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3775262?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 99 = 6*o. Solve -7*s - o = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 19955*t + 3819210.\nAnswer: -5*(t - 4174)*(t + 183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -7887?\nAnswer: -2\/7887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8 = -0. Let j(v) = 2*v - k*v + v. What is the units digit of j(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.1333 rounded to zero dps?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*o**4 + 48*o**5 + 540*o**2 - 12*o**4 - 21*o**4 - 12*o**4 wrt o.\nAnswer: 2880*o**2 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(1872)*-2)**2 - (sqrt(1872) + sqrt(1872)*-1 + 5))*-1 + ((2 + sqrt(13)*1)*-1 + (0 + sqrt(1872))*-1)**2.\nAnswer: -184994 + 52*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/2)\/(-5))\/((-9)\/(-36))*77\/(-44)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67\/32710 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 p when three letters picked without replacement from tqcpycycypct?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -123 + 74. What is the tens digit of j*1\/(14\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 5:13 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -8, -0.1, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/3, 454, 4, -2\/17 in decreasing order.\nAnswer: 454, 4, 1, 1\/3, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f. Let m(k) = k**2 + 3096*k - 641. Determine m(c(n)).\nAnswer: 4*n**2 - 6192*n - 641","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(150\/(-21)))\/((-122)\/(-610))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, q: 2, u: 5, v: 4}. Give prob of sequence qq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, -1, -2\/9, -2713?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 10*c - 2. Let d(n) be the second derivative of -n**3\/6 + n**2\/2 - 2922*n. Determine -d(s) - v(s).\nAnswer: -s**2 + 11*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.08, -1 in descending order.\nAnswer: -0.08, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.34 + -0.54. Let f = 0.9 + -1. Which is the closest to v? (a) f (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09+-10462497261\nAnswer: -10462497261.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1410 divided by 6.\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 218 + -204.9. Let o = l + -1.1. Let g = 12.1 - o. What is the closest to 1 in -0.1, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 - 71*a**2 - 45*a + 344. Calculate y(36).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 3. Let h(o) = -31*o + 30. Let r(g) = 6*b(g) - h(g). Determine r(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20.6 * -0.06959\nAnswer: -1.433554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**2 - 61450*i + 122920 = 0.\nAnswer: -12292, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 55 = 7*g. Suppose 13*l - 6 = g*l. Suppose -2*o + 198 = -2*i, 6*o - l*o - 291 = i. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/4, 1\/4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*-1*(-50 + 47). Solve 3*k + l = -3*l - 12, -v = 5*l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-10)\/v)\/v**(5\/2))**49\/(v*v**(-8\/3)*v**(-11))**(-2\/43) assuming v is positive.\nAnswer: v**(-170819\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eur when three letters picked without replacement from {e: 8, r: 2, u: 4}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 1:26 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 79 = -4*c + r, -3*c + 3*r + 30 = 0. Suppose 3*k + 10 = c*k. What is the highest common divisor of k and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - -18 - (-6 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 3236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 45, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13\/7 (b) -132.8 (c) 1\/8 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 927 - 1849. Suppose 3*m + 2323 = 5*k, 2*k - g = -k - 4*m. Let b be 148\/k - (-2)\/(-8). Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28133, -27945, -27757, -27569, -27381?\n\"Answer: 188*m - 28321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 956169.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/126 + 96\/(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, 16, 8, -4 in decreasing order.\nAnswer: 16, 8, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(-6) - (-1116)\/8 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56541787 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9*u**3 - 3*u**2 - 7*u - 5. Let i(z) be the first derivative of -z**4 - z**3\/3 - 3*z**2\/2 - 2*z - 7. Give 2*a(c) - 5*i(c).\nAnswer: 2*c**3 - c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 9*q. Suppose -3*r + 16 = 2*u, 2*u + 24 - 12 = 4*r. Let z(v) be the second derivative of 0 + 0*v**u - 1\/3*v**3 + 4*v. Determine g(z(p)).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2819583 and 216891?\nAnswer: 2819583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (8 - -15) + -54.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186245*k**5 - 2968340*k**4 - 11734580*k**3 + 738240*k**2 - 11520*k = 0.\nAnswer: -8, 0, 6\/193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15477 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3 = 3*d. Let f be 1 + (-2)\/(-3)*d. Let n(t) = 7*t**2 + 195*t - 24. Let p be n(-28). Solve -4*r = -r + f, 2*r - p = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 4*h = 528. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 53, -25727, 3, 0.1, 1\/5 in decreasing order.\nAnswer: 53, 3, 1\/5, 2\/13, 0.1, -25727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1. Let p be 1 + (3 + -3 - -2). Suppose -4*z + y - 20 = -8, -y - 9 = p*z. What is the third smallest value in b, -0.3, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -9. Let x = 4 + p. Let b = 5 + -2. Solve -n + b*a = -x*n - 14, 2*n = -3*a - 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/160728 and -26\/140637?\nAnswer: 1125096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g + 26. Let c(p) be the second derivative of -p**3\/6 + 13*p**2\/2 + 9602*p. Give -5*c(u) + 3*r(u).\nAnswer: -u + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 594 = -3*o. Calculate the highest common factor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29927508*p + 25606931 wrt p?\nAnswer: 29927508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -893 = 330*d - 305*d + 57 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -63 and 3.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 40 = -4*r, -3211*r + 3*q - 50 = -3213*r. Determine c, given that -7\/9*c**3 + 1\/9*c**r - 8\/3 - 13\/9*c**2 + 43\/9*c = 0.\nAnswer: -3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5*(-120)\/48)\/(2\/(-36))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1. Let x(m) = -m - 9. Let y(c) = 36*a(c) + 4*x(c). Suppose 3*z = 7*z + 2*l - 18, -5 = -l. Give y(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3.88, -1 in increasing order.\nAnswer: -1, -0.3, 3.88","meta":{"dup_signals":{},"source":"comparison__sort_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: Suppose -m = 3, l + 5*m + 96 = -145. Let k = l + 1585\/7. Let j = 1488\/95 - 290\/19. What is the closest to 0.1 in -0.4, k, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*w - 0*w. Suppose 2*m = -5*o + 4*m + 15181, 0 = o + w*m - 3047. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/14460 and -53\/51911400.\nAnswer: 51911400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 19*z + 33. Let d be v(21). Does 6 divide (d\/20)\/(6\/45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-72) - 20\/(-9). Suppose 0 = -v - k + j, -3*k - 5 + 2 = 0. Calculate the remainder when v is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016 a factor of 106899896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t - 10 = 0. Suppose 2*n + 4 = 2*b, 11 = -t*b - 4*n + 2*n. Let r = -883\/4 + 221. What is the nearest to r in b, -0.11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28, -33, -40, -49, -60, -73?\n\"Answer: -x**2 - 2*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 6 + 0)*(2 + 2 - 2) + 5 + 0 + 1 + (0 + 0 - 1)*(3 - 4 - 2))*(2*q + 3*q - 4*q).\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**3 + 5*l**2 + 8*l - 18. Determine h(6).\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -11. Let j = -9 - -6. Let y = j - -3.1. What is the closest to 0.1 in -2\/3, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 907, 3506, 7785, 13750, 21407, 30762, 41821, 54590?\n\"Answer: h**3 + 834*h**2 + 90*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4165 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvevnvejjve. Give prob of sequence njv.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-7) - 228\/(-266)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 37761285?\nAnswer: 37761281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.5 + -3. Let d = -0.23 + 2.23. Put 3, z, d in ascending order.\nAnswer: z, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 8:50 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(343)*-3 - sqrt(343)) + 2)**2 + -3 + (sqrt(35)\/sqrt(5) + -2 + -3 + sqrt(28)\/sqrt(4))*2.\nAnswer: 4*sqrt(7) + 5475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*-1 + (1 - 1). Let z be 1\/1*1\/(-1). Let h = -7 + 2. Sort z, u, h in increasing order.\nAnswer: h, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 2*s**2 + 4*s + 3. Let g be k(-3). Suppose -q + 1 = -g*q. What is the remainder when -1*(4\/2 - 3) is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*w + 43*w - 17*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18770 and 16893?\nAnswer: 168930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9*o**3 + 41*o**2 + 36*o - 51. Is h(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 6\/5 (c) -650 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1133 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2268\/63)\/(40\/30)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/13)*(d**(-4)\/d*d)\/d)**(-48)*(d*d\/(d\/(d\/d**(-2\/3))*d)*d)**(-1\/4)\/(d**(-1)*d**(1\/4)) assuming d is positive.\nAnswer: d**(36301\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**5\/5 - 6*c**4 - 32*c**3 - 80*c**2 - 96*c - 224\/5.\nAnswer: -2*(c + 2)**4*(c + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26718435 is divided by 61563?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 6*b**2 + 8*b - 5. Let w be o(7). Factor q**5 + 0*q**2 - q + w*q**2 - 4*q**4 + 2*q**4.\nAnswer: q*(q - 1)**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28971 divided by 3\nAnswer: -9657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4*(-4)\/(-6). Let r be ((-10)\/(-4))\/((76\/8)\/19). Calculate the greatest common divisor of r and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j - 3. Let r be w(-2). Suppose r*x - 2*x - 10 = 0. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/48 + -2)\/(3 - 0)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from mwhgghozhoo?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 64 = 4*y, 68*d - 35*d = 34*d - 85*y + 100 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111441 - 55478. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.8 - -4. Let b = x - 0.4. Let p = -41 + 43. What is the biggest value in 3, p, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*m + 170*m = 2*s - 29, -13 = m - s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 385 = -2*g. Which is bigger: 450\/13 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from {w: 2, u: 1, a: 1, e: 2, z: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 269, 446, 521, 494?\n\"Answer: -51*a**2 + 330*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*o - 5*o + 272 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20840 - -20854. Let j = -122 + 244. What is the remainder when j is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -1. Suppose 0 = -4*z + d - 0. What is the tens digit of 0 + ((-152)\/(-4) - z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 628*w**2 + 3*w + 94. Is l(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.65 - 3.65. What is the nearest to r in -2, 1\/5, -5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1854, -1870, -1886?\nAnswer: -1902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 6*t - 2. Let a = 28 - 34. What is v(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h. Let z(i) = 23*i - 10 + 1 + 4 - 4 + 1. Let x(d) = 3*d - 2. Let t(b) = -3*x(b) + z(b). What is c(t(w))?\nAnswer: 42*w - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/15)\/(w*w\/w**(-3\/2))*w**(1\/20)*w*(w\/w**3*w)\/w)**(8\/5) assuming w is positive.\nAnswer: w**(-518\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/((-5)\/((-60)\/8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 3*o - 1. Let z = 4 - 3. Let g be k(z). Let m(u) = u**2 - u. Let s be m(g). Solve s = -b - 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 - -108. Suppose c = -5*i + 15, 2*i = -5*y + 1724 - 523. List the prime factors of y.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1202 - -1300?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 - 5*q**2 + 4*q. Let w(f) = 3*f**3 - 5*f**2 + 5*f. Let h(z) = -4*d(z) + 3*w(z). Let y = 8 - 13. Calculate h(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 3*c - 3*c + (83 + 44*c - 83)*(-4 + 4 + 2) to the form o + r*c and give r.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11012122 (base 3) in base 12?\nAnswer: -1938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141*v**5 - 54*v + v**2 + 11*v**2 - 5*v**2 - 7*v**2 wrt v.\nAnswer: -2820*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.1565 rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -4, 419 in decreasing order.\nAnswer: 419, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*f - 9140 = -3*j - 52*f, -9143 = -3*j - 5*f. List the prime factors of j.\nAnswer: 2, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -180383.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.79 - 13846.\nAnswer: -13833.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + -100?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5756, -5814, -5910, -6044, -6216?\nAnswer: -6426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 399, 47 in increasing order.\nAnswer: -2, 3, 47, 399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984128.\nAnswer: 2, 15377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.4 (b) 6 (c) 2 (d) 1 (e) -257 (f) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 3*n**2 + 3*n + 4. Let y be a(4). Suppose 4*m - 46 + 14 = y. Let q = 9 - m. Let w(o) = -3*o + 1. Calculate w(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88 - 71. Suppose p*j - 4*j - 572 = 0. Let y = 153 - j. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 390 + -564. What is the closest to m in 4\/5, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -35.9877. Round t to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.6, -1\/42 in increasing order.\nAnswer: -1\/42, 0.2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(5) + 0 + 2)**2 - (sqrt(500) + 2)) + (-3*sqrt(50)*5)\/(sqrt(40)\/sqrt(4)*4).\nAnswer: -39*sqrt(5)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/4 (b) 6 (c) 23 (d) -0.02 (e) 1\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.58224 to three decimal places.\nAnswer: 0.582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1623774 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 11*z**2 + 13*z + 23. Let k(b) = -2*b**2 + 193*b - 482. Let p be k(94). Determine t(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 5*k**3\/6 + k**2\/2 - 12*k - 14. Let j(n) = -12*n**2. Determine j(b(g)).\nAnswer: -300*g**2 - 120*g - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6678.2319 - -6568.21. Let q = n - -110. Round q to 3 decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**4\/12 - 2*r**3\/3 + 62*r**2 - 2. Let b be o(2). Solve -3*d - 3 = 3*z, 3*z + 5*d - d + 4 = b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(8 + -4)\/36.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w - 2. Let t be o(1). Let g = 74 + -38. Suppose -2*z + g = -t*z. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**6\/180 + x**3 - 3. Let l(q) be the third derivative of n(q). Let i(g) = 7*g. What is l(i(z))?\nAnswer: -98*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 3*w + 0*w)*(0 - 4 + 2)*(7*w + 11*w - 7*w) - 13*w**2 - 2*w**2 + 4*w**2.\nAnswer: 77*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 8*q**2 - 8*q - 2. Let n be s(7). Let d = n - -17. Suppose 5*w + 3*v = 86, -w + 2*v + 2*v = -d. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 1:53 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -466444900 to the nearest one hundred thousand.\nAnswer: -466400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/17992 or 0?\nAnswer: 1\/17992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**4*w*w**(2\/17)\/w*w)**(-16) assuming w is positive.\nAnswer: w**(-1664\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106161 = 200*i + 103961 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 5*h**3 - 11420*h**2 + 79745*h - 113850 = 0.\nAnswer: 2, 5, 2277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 4*z**2 + 2*z - 3. Let y(p) = -8 + p**2 + 11*p - 2 + 2. Let w be y(-10). Let o be (-3)\/(-2) + w\/4. Give c(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*s + 144. Let b be s\/7 - (-6)\/42. Solve -4*z - b = 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 6. Let v(u) = -5*u - 15. Let x(n) = 3*v(n) - 8*w(n). Give x(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -139 + (-3)\/(-1) - 0. Let c = n - -406. What is c rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1391\/3 or 463?\nAnswer: 1391\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*m - 17. Suppose -5*a + 612 = -4*o, 0*a + m*a - 357 = -o. Let u be (1 + -1 + 6)*8. Calculate the highest common factor of u and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53 - -25040?\nAnswer: 24543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnqiiriqnqryin. What is prob of picking 1 y and 2 q?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 11*p**2 + 119670*p\/7 + 2664 = 0?\nAnswer: -1554, -12\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -5, 2.77, -871?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from cwtixtw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 3 + 4 + 3*y + (-4 - 2 + 4)*(599 + 38*y - 599) + 0 + y + 0.\nAnswer: -72*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 4. Let l be (h + 0)\/((-1)\/(-2)). Let p(g) = -5*g**l - 2*g**3 + 3 - g + g**3 + 1. What is p(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1888*-2950.\nAnswer: 5569600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0 = -3. Let o(r) = -5*r + 6. Let t be o(q). What is the greatest common factor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 2\/3, -925?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-10) - 22\/(-55). Suppose 6 = 2*j - 2*x, 0 = -x - g*x. Solve 5*f - j*n + 3 = 0, f + 0 = 4*n - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-15 - -5) - (-1 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7769\/19 - -409. Suppose t - 27 = -3*g, 3*t - g = -7 + 48. Let o be ((-3)\/t)\/((-4)\/(-5)). Which is the closest to o? (a) 1\/6 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {k: 1, g: 4, i: 2, z: 6, l: 4}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 4\/275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**3 + 48*x**2 - 15*x + 193. Give z(16).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19997922279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**5\/60 - 5*u**4\/24 - u**3\/2 + 6*u**2. Suppose 0 = -46*r + 51*r - 40. Suppose 4*n - r*n = -20. Determine s(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 338 divided by 1.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48\/29 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -2*o - 4\/9*o**3 + 25 - 1\/36*o**4 - 8\/3*o**2. Let t(p) be the first derivative of n(p). Factor t(u).\nAnswer: -(u + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 5:40 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 1419555363.3.\nAnswer: 1419555363.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 + 2*c**2 - 1. Let n be m(1). Let t = -988 - -1001. Solve -n = -2*d - t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270 a factor of 10576560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 19026?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -490, -0.4, 2598 in descending order.\nAnswer: 2598, -0.4, -490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + s = 3*s - 16, 9*f + 100 = 13*f + 42*s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 190 = -v. Suppose -d = 4*p - 55, 0 = -5*p + 2*d + 2*d + v. What is the smallest common multiple of p and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 6:02 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 + 106. What is the lowest common multiple of 5 and q?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13853.\nAnswer: 7, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*k + 2008 + 576 = 0. Solve -52 = -k*r - 90 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32 and -5075.\nAnswer: -162400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 23 + (-1 - (27 - 31) - -7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**2 + y**2 - 2*y**2)*(1 - 1 + 2*y).\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 48 + 25 + 2904\/(-40)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1413 is divided by 118.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-488)\/6 + 7\/21. Let l = 3 - g. Suppose -u + z = -34, -3*z + 0*z + l = 3*u. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3\/(-12)*12\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-five halves of a centimeter?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -132324101 (base 5) in base 11?\nAnswer: -416479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - 13 + 11*g + g**2 + 3*g**2 + 2*g. Let m(n) = -3*n**2 - 6*n + 6. Let z(q) = -13*m(q) - 6*u(q). Let h(l) = -6*l + 5*l + 0*l. Give z(h(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**3 - 2*f**2 - 2*f - 1. Let m be c(-1). Let n be m\/20 + 76\/(-5). Let g = 12 - n. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 10*t - 17. Let k(i) = i - 6. Suppose 5*o - 3*o = -12. Let d be k(o). Let v be n(d). Solve -17 = 5*m - v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 17. Suppose m + 34 = 4*s. Suppose -6*b = r - 2*b - s, 31 = 2*r + 5*b. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6464 and 55476472.\nAnswer: 443811776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**6\/120 + y**5\/5 + 13*y**4\/24 - 11*y**3\/3 + 394*y**2 + 6*y. Calculate m(13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from xrxsrrxorrrrorrrxrrs?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146722560 divided by -30.\nAnswer: -4890752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1468.\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42031307 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/17)*p\/p**6)\/(p**(1\/11)\/p*p*p**(-2\/13)) assuming p is positive.\nAnswer: p**(-9857\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 84 + 48?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-28)\/(-84))\/(1*2\/72). Solve r = m - 3*m + 5*u, -u = -5*m - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3784, 12914, 27398, 47236, 72428?\nAnswer: 102974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 116. Let c(v) = -v**2 - v + 2. Let n be c(-2). Let i be l(n). Suppose -1168 = -4*d + i. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2534\/6047 or -1?\nAnswer: 2534\/6047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 268\/(-6)*((-187)\/22 + 10). Which is greater: -31 or y?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g - 5*b = 41*g + 81, 5*g - 69 = 4*b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.06 - -2. Let n = z + 0.06. Which is the smallest value? (a) 4 (b) n (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, t: 6, r: 2, q: 3, u: 4}. Give prob of picking 2 t and 2 r.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1372 + 5?\nAnswer: -136d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156522589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105 - -105.00044. What is q rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -6 + 2 + -18 + 10 + -26?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2. Let j(f) = 16*f**2 - 3. Let k(v) = 94*v**2 - 17. Let q(a) = 34*j(a) - 6*k(a). Determine w(q(n)).\nAnswer: -1200*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + 3683\/(-116) + (-47)\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 346\/18 + (-18)\/81. Suppose 5*j - 2*n - w = 0, -4*n = -4*j + 19 + 1. Let k = -1.1 + 1. Which is the closest to -1? (a) j (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*-1*(-6)\/3. Let a be 283*53 - (-5 + m). What is a rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmrmvssssvsv. What is prob of picking 2 m, 1 s, and 1 r?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from glqrrlllgtglqlfllgrr. What is prob of picking 1 g and 2 r?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31515 + -16606. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-5 - -5) - (-4 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 l when four letters picked without replacement from {l: 7, v: 2, t: 3, y: 3}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493 - 283 = 15*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (3 + -2 - 0). Let b = -0.1 - -0.2. Let n = -7 + 7.3. What is the nearest to 0.1 in n, b, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/7))**(-4\/35)\/(q**(6\/17)\/(q**(-4\/19)*q)) assuming q is positive.\nAnswer: q**(39713\/79135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 1\/3*j**4 + 3*j + 3\/2*j**2 + 0*j**3 + 0. Is r(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 74226.8 (b) -1\/3 (c) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 4638*s + 1792587.\nAnswer: 3*(s - 773)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 145350 a multiple of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((20\/(-3))\/(-4))\/((-810)\/648)*-72\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 34. Let y = 44 + -33. Calculate the smallest common multiple of w and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 46.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53177785*f**2*g**3 + 19879*f**2*g**2 + 173*f**2*g wrt g.\nAnswer: 319066710*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i - 342 = -6. Let g = 105 + i. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Suppose 9 + k = 3*j, -4*b = -4*j + 24. Let a(u) = 5445*u - 2726*u - 2722*u - 4. Let g(i) = 3*i + 3. What is b*g(v) - 2*a(v)?\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -8, -3.6, -2.1, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 24203700 to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -1\/20, 2, -1\/2, -19.\nAnswer: -19, -1\/2, -1\/20, 2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/7 + 273384*h**2\/7 - 1640250*h\/7 + 2460348\/7 = 0 for h.\nAnswer: 3, 136686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 189553033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (139\/(-2224))\/((-2)\/4)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -833*z - 858*z + 1693*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.924219 rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arbnraecnrbanebna. Give prob of sequence nbbe.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i = 6*i - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1298 is divided by 105.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 16*l**2 + 9*l + 7. What is the units digit of g(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111*m**2 + 217*m**2 - 406*m**3 - 308 - 105*m**2 - 2*m + m + 3*m wrt m?\nAnswer: -2436*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85 and 25959?\nAnswer: 129795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - sqrt(168)\/sqrt(3)*-1)\/(sqrt(8) - ((sqrt(72)*-1)\/sqrt(9) - sqrt(8)) - sqrt(8))*6 + 2.\nAnswer: 2 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 182*m + 2317. Calculate l(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2795 - 8*b - 97*b**2 + 193*b**2 - 96*b**2 + 100*b**3 - 13*b**3 wrt b?\nAnswer: 261*b**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -14 (b) -0.2 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2))**47)**(-10) assuming l is positive.\nAnswer: l**940","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10745897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76756904 to the nearest integer?\nAnswer: 8761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3088330 divided by 5\nAnswer: 617666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 135 (base 12) to base 16\nAnswer: b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4353 is divided by 2021?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0126 - -0.03035. Round n to 3 dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15337*c*i**4 - 10*c*i**2 + c*i + 2000*c - 22 wrt i?\nAnswer: 184044*c*i**2 - 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6227 (base 15) to base 6.\nAnswer: -240001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, 3, -36, -6, -4, -11 in increasing order.\nAnswer: -36, -11, -6, -4, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 115*v**2\/2 + 349. Let o(p) = -p**2. Calculate d(o(g)).\nAnswer: -115*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (1 + -9 - -3 - -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -7.6. Which is smaller: t or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 15*k**2 - 29*k - 34. Let x be d(-13). What is the second derivative of -x*w**3 + 34*w - 22*w - 12*w + 245*w - 192*w**3 wrt w?\nAnswer: -1182*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 322586?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14708, -14673, -14618, -14543?\nAnswer: -14448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from {y: 1, u: 2, s: 1, a: 1, t: 5}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.54 and -410?\nAnswer: 409.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = 0, v = -2*v + 5*t - 4. Let u = -922 + 2402. Let l = u + -1463. Is v != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 3*c**2 - 7. Determine w(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2. Let k(b) = -112809*b. Calculate j(k(t)).\nAnswer: 38177611443*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Let j be -1*12\/(-30)*10. Solve -r + i*z = -1, j*r = -0*z - z + 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48*98\/1344*8\/42*2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 12. Suppose 2*m - 2 = w. Calculate the remainder when 20 is divided by (1 + 10\/m)*2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 148*g**3 + 318795*g**2 + 6458*g - 8610. Give u(-2154).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from sppsppp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwkqwoakowokw. What is prob of picking 1 k and 1 w?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 313 and 298289.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**5\/20 + l**4\/3 - 5*l**3\/6 + l**2\/2 - l. Let o(f) = f**2 + 6*f + 3. Let y be o(-4). Determine i(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8a0 + 3?\nAnswer: 8a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 36*k**3 + 17*k + 45 + 303*k**2 - 303*k**2. Differentiate z(n) wrt n.\nAnswer: 216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2876, 1755, -114, -2731, -6096, -10209?\n\"Answer: -374*j**2 + j + 3249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = 2 + 40. Let n(d) = d**3 + d + 1. Let m(b) = -9*b**3 + b**2 + 6*b - 10. Let y(u) = v*n(u) - m(u). Factor y(c).\nAnswer: (c - 2)*(c + 2)*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 47.5 (b) -2\/3 (c) 2\/11 (d) -118 (e) -3 (f) 56 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -37 + 2*c + 7\/6*c**3 - 1\/12*c**4 + 5*c**2. Give t(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44747313 and 507?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09834 to 3 decimal places.\nAnswer: -0.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 11 = -37. Let m = -560 - -561. What is the highest common factor of d and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2\/25 (c) -1\/28 (d) -77 (e) 0.5 (f) -7\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 23. Put 3, 4, q in ascending order.\nAnswer: q, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2798, 2801, 2806, 2813, 2822, 2833, 2846?\nAnswer: 2861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -114, -670, -2184, -5136, -10006, -17274, -27420, -40924?\n\"Answer: -80*o**3 + o**2 + o - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14524.\nAnswer: 2, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i + i + 35 = -8. Let b(o) = -o**3 - 5*o**2 - o - 7. Let t(f) = -f**3. Let u(x) = -b(x) - 2*t(x). Let n(v) = -v**3 - v**2 - 1. Give i*u(d) - 5*n(d).\nAnswer: 2*d**3 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 2*p + 30 = 0, -3*q - 4*p = 14 + 18 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -897969 - 1165*o**6 + 897982 - 300*o**6 + 80*o**2 wrt o.\nAnswer: -175800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*w - 57*w - 2 - 83*w + 154*w - 3.\nAnswer: -58*w - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyyvvvy. What is prob of sequence eyv?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1362 - -6.4\nAnswer: -1355.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 12:44 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 1560 = 9*u. Suppose -u = -5*t - 0*t. Let h = t + -37. What is the remainder when h is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46486350?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 4, 126, 3, -0.13 in descending order.\nAnswer: 126, 4, 3, -0.1, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, c: 1, w: 8, j: 1, n: 2, s: 2}. What is prob of picking 1 c and 2 s?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 10)*90\/21. Let k = 41 - 17. Calculate the highest common factor of k and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*p + 212, 3*j - 130 = -p - j. Is p\/12*1*86*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.2 + 7. Let j = -0.5 - n. Which is the second biggest value? (a) j (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i - 29 = -13*i + 7*s, -5*s = 3*i + 23 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -3*d + 1\/30*d**5 + 0 - 1\/9*d**3 + 0*d**2 - 1\/18*d**4 + 1\/45*d**6. What is p in t(p) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*t - 3*n = 28*t - 62*t - 33, 2*t + n + 10 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h + 1 + 5\/4*h**2 - 1\/4*h**3.\nAnswer: -(h - 2)**2*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2160*x**2*y**3 + 125*x*y**3 - 5693*y**3 - 12 wrt x.\nAnswer: -4320*x*y**3 + 125*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/((-15)\/(-800)*5). Let y = 127 - s. Let u(z) = 12*z. Calculate u(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y - 293434268 + 293434268.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 328215 and 420?\nAnswer: 9190020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -469*t + 5. Let n(k) = 469*k - 8. Give -3*f(w) - 2*n(w).\nAnswer: 469*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*t - s + 16, 2*s = -t - 13. Which is the closest to -2? (a) 0.1 (b) -3 (c) t (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 4*b**2 - 4 - 3*b**3 + 8 as x*b + h*b**3 + s*b**2 + p and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3537 and 2227?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*l, 3*p = -4*l + p. Let r(g) = 9*g**2 - 3*g - 16. Let f(b) = -11*b**2 + 4*b + 17. Let d(i) = 4*f(i) + 5*r(i). Give d(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3849 - 3763. What is the remainder when 598 is divided by c?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 912234668.\nAnswer: 2, 228058667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + 1 + -2 + (1*sqrt(1331) + sqrt(1331) + sqrt(1331) - sqrt(1331)) + 0)*1)**2.\nAnswer: -66*sqrt(11) + 11980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 316*c**3*x - 2*c**2*x - 204*x with respect to c.\nAnswer: 948*c**2*x - 4*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -29, -2\/13, -0.5, -3 in increasing order.\nAnswer: -29, -3, -0.5, -2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*l + 96 + 64 = 0, 4*a - 4*l + 300 = 0. Which is bigger: -86 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71300 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*a - 392*a + 17040 = 279*a for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*d**3 - 687*d - 30348?\nAnswer: -57*d**2 - 687","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 127cc - -1?\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*h - 89*h = -9. Sort h, 0, 38 in ascending order.\nAnswer: 0, h, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s**2 - 32*s - 6. Calculate w(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 138608 (base 9) to base 12\nAnswer: 41282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 9 + 6. Let t(d) = d**3 + 5*d**2 - 9*d - 13. Let y be t(-6). Let j(f) = -f**2 + 5*f + 5. Let o be j(y). Put -1, o, g in ascending order.\nAnswer: g, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -187.13 - -186. Let o = 0.93 + d. Which is the third smallest value? (a) 13 (b) -3\/8 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-312)*(-6)\/((-6)\/6)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (339*v**4 - 14*v**3 + 11*v**3 + 2 - 174*v**4)*(-2 + 2 + 1).\nAnswer: 165*v**4 - 3*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 - 8*b + 55. What are the prime factors of k(15)?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102507084?\nAnswer: 2, 3, 61, 46679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 553*z**3 + 4*z**2 + 3*z. Let c be i(4). Let h = c - 118663. Let y = -128195 - h. What is y rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22063*-0.2.\nAnswer: -4412.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3204?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*r - 145. Let h = -19 + 13. What is the lowest common multiple of r and ((-88)\/h)\/(12\/18)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v. Let y(n) = -n**3 + 6*n**2 + 8*n - 3. Let f be y(7). Let a be l(f). Let q be ((-1)\/5)\/(a\/30). What is the third smallest value in q, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -14394 - 4152*i**2 + 3594 + 15820*i + 3*i**5 - 78*i**4 - 5200*i + 807*i**3 = 0?\nAnswer: 4, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11231 is divided by 4011.\nAnswer: 3209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*j**5 - 3 - 49*j**3 + 49*j**3 + 12*j**2 wrt j.\nAnswer: -960*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7943 - -7942. Sort 48, -4, d, 9, 1 in descending order.\nAnswer: 48, 9, 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u - 2*p + 3104, -u - 3*p + 1413 = 4*u. Does 141 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 1. Let b(m) = 8*m + 6. Let i(l) = -b(l) - 5*x(l). Let w be i(-5). Suppose -n = -0*n - w. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -31*s + 282. Give d(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1 + (0 + 0 - 1)*(26 - 669 - 229))*(2*x - 1 + 1).\nAnswer: 1748*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 17. Let j be 14\/91 - (-1299998)\/s. What is j rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 5, 1, 8, 4.94?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 158, 238?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 380 - 269. Calculate the remainder when 523 is divided by d.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110 - -118. Let w be -64*j\/16*-655. Round w to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-10) + (-8)\/(-360). Let i(v) be the first derivative of q*v**3 - 3 + 1\/3*v**4 + 0*v**2 + 0*v - 2\/5*v**5. Determine u, given that i(u) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -21606, 1, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268523597 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.585 + -7.49. Let m = 0.285 + h. What is m rounded to 1 decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**7\/231 - v**6\/55 + 2*v**5\/55 - 15*v + 5. Factor x(s).\nAnswer: -2*s**3*(s - 1)*(s + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 - 6*g - 39. What is the remainder when w(6) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**3*q*t + 1395366*n**3*t**3 + 142481*n**2*q + 3*n**2*t**3 - 4*n*q*t**3 wrt n.\nAnswer: -6*q*t + 8372196*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1761 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 2. Let u(z) = -522 + 3*z - 2*z + 0*z + 520. Let s(v) = 2. Let h(w) = -s(w) + 3*u(w). What is -2*h(j) + 9*m(j)?\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.3243 - -8.024352. Let a = s - -0.3. What is a rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -12598961271130.\nAnswer: -12598961271129.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 + -50. What is the third biggest value in c, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/4 (b) -1.64 (c) 29 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49449 + 4*w - 3*w - 49449.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-260)\/(-78))\/((-16)\/18))\/((-55)\/132)*-13.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70009 - -70191. Let u be 103\/4 + 2\/8. What is the highest common divisor of v and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 81\/5 - (-713)\/3565?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4, a - 4*a = y - 120. What is the units digit of (2 + 14\/6)\/(4\/y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3, -29, -79, -159, -275, -433?\n\"Answer: -u**3 - 6*u**2 - u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*p**2 + 2*p**4 + 2*p**2 + 3*p**2 + 2*p**4 - 4*p**4 - 10*p**4 + (-5*p**3 - 4*p**3 + p**3)*(6*p - 4*p - 10*p).\nAnswer: 54*p**4 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4503 - 4452. What is the remainder when 3823 is divided by g?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 4. Let d be q(-9). Let a = -1 + d. Let n(x) = -2*x**2 + x - 2. Let u(k) = 7*k**2 + 2*k + 1. Let l(f) = 3*n(f) + u(f). Calculate l(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*b + 69 = 0. Let k = 37 - 5. Let g = k + b. What is the greatest common factor of g and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -18, -3, 59, 3 in descending order.\nAnswer: 59, 3, -1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 257, 880, 1927, 3404, 5317?\nAnswer: 7672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, o: 1}. What is prob of picking 1 n and 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**5\/10 - w**4\/6 - 2*w - 3. Let g(c) be the first derivative of v(c). Find the third derivative of g(z) wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**5 + 70*q**2 - 70*q**2 - 12*q + 15*q**3 = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, 83, 261, 593, 1127, 1911?\n\"Answer: 8*j**3 + 5*j**2 + j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**8\/168 - 4961*t**7\/210 + 47*t**4\/8 + 6*t**2 + 8*t - 30. Find the second derivative of q(u) wrt u.\nAnswer: 40*u**3 - 59532*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1145 (base 15) in base 16?\nAnswer: -e51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 3. Solve 2*c + r = -6, 5*r + h + 8 = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2865139610.\nAnswer: 2, 5, 79, 3626759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -0.5. Let f = s + -1.49965. Round f to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17548, -17547, -17556, -17581, -17628, -17703?\nAnswer: -17812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 16\/(-8) + (-44)\/((-2)\/1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -614962267*t**3 + 484646799 wrt t.\nAnswer: -1844886801*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g - 8. Let k be v(-11). Let w be 8\/k*9\/12. Let l = 0.2 - 1.2. What is the biggest value in w, l, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9757029, -19514062, -29271095, -39028128?\n\"Answer: -9757033*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*h + 8*h - 14, -11 = -5*c + 4*h. Suppose -4*u = -4*o - 40 + 100, -4*o = c*u - 60. Let y = o + -11. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-25)*z)**0*(z**26)**43)**(-40) assuming z is positive.\nAnswer: z**(-44720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-7)\/15 - 3\/15). Suppose 4*z + 2*y = y + u, -z + 2*y - 6 = 0. Solve -3*j - 2 - 10 = z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*k + 63 = 383*k - 2*q, 3*k + 240*q - 245*q - 34 = 0 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 114 - 106 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 798 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.4 + -20.4. Let q = -4.92879 - 0.06551. Let s = q - c. What is s rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 544 in -0.043, 0.2, 2\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.2 - 115787551548?\nAnswer: -115787551555.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/7))**(-36))**(3\/2) assuming a is positive.\nAnswer: a**(162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1051*a + 28900 = -2496*a for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*o + 20 - 4, -3*x = -2*o - 11 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -680 - 194*a - 2*a**2 - 676 - a**2 + 1356 as n + f*a**2 + o*a and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 20, 39?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -205 + 170. Which is smaller: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15826*w + 15826*w + 6*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 54*r**2 - 1 + r - 7*r + 59*r**2 - 118*r**2. Let i(h) = 14*h**2 + 17*h + 3. Give 6*i(f) + 17*j(f).\nAnswer: -f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 + 69. Suppose t = 8*m - 9 - 23. What is the lowest common multiple of 104 and m?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -7*j + 2*d + 56, 2*d = j - 24. Suppose 299 = 45*q - j. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23057 + -3373?\nAnswer: 17464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 19 times -1096\nAnswer: -20824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.08797, -4985\/6, 0.1?\nAnswer: -0.08797","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 3*q**2 - 6780*q**3 + 6783*q**3 - 3 in the form m*q + a + f*q**3 + v*q**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfjjbfxjfjyj. What is prob of picking 1 b and 1 j?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjjpjjjjyj. Give prob of sequence yj.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from fllffflllkf?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 5:08 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 8818894.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 57 = 5*g, -z + 0*z = 5*g - 56. Suppose -g*x - 136 = 40. Suppose -4*c = -0*c + 68. Is c < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 + 33*o - 27. Let g(m) = -m**2 - 16*m + 13. Let b(r) = 2*a(r) + 5*g(r). What is the tens digit of b(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 1a87?\nAnswer: 1a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 2*m - 2*m + (-3*m - m + 6*m)*(1 - 6 + 3))*(-7*m + m - 7*m) as f + d*m + p*m**2 and give p.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 d when four letters picked without replacement from ddbdddoobdbbddoob?\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4))**(-9\/5)\/((d*d\/(d\/d**(1\/5)))\/((d*d**(-6))\/d))*(d*d\/d**(-7)*d*d*d**(1\/10)\/d)**(-24) assuming d is positive.\nAnswer: d**(-5001\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2126091481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*k - 3, 2*k + 0 - 2 = c. Suppose 0 = -2*d + 3*d - 3*b - 20, 3*d - 4*b - 35 = c. Differentiate 6 - 6 - 2*y**2 - d + 3 with respect to y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*u + 95*u - 608 = 0. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22201201 (base 4) to base 15\nAnswer: -cb8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20114 - -39337. List the prime factors of j.\nAnswer: 47, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 6. Let m = -5.1 - -5.4. Which is the smallest value? (a) m (b) -1\/9 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*a**2 - 18*a**2 + 3*a - 20*a**2)*(7*a**2 + 16*a**2 - 41*a**2).\nAnswer: -36*a**4 - 54*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47026 - 7518. Let j = -54544.091267 - k. Let i = -0.091 - j. What is i rounded to 5 dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -9, -32.43, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 27 and 21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 62*t + 1312. Give k(-16).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -142*i*n*y**3 - 752*i*y**3 - 373*i*y + 735*n + 98033*y**3 wrt i.\nAnswer: -142*n*y**3 - 752*y**3 - 373*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2130 - 2130 + 3*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 3. Let o = -8\/7 - -57\/56. Which is the closest to j? (a) o (b) 0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 6*w**2 + 3*w - 3. Give f(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-20) + (-10)\/(-4). Let j = p - 9\/4. Let q = 1 + -1.4. Put -3, j, q in increasing order.\nAnswer: -3, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 52e - -1?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/5)\/((-9)\/1320*-8). Let x = 7 - -26. Calculate the greatest common divisor of x and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/35))**9\/(w**(1\/7)\/(w\/w**(1\/2))) assuming w is positive.\nAnswer: w**(61\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1479507288 divided by 8?\nAnswer: -184938411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 - 3.2. Let l = 4 + g. Which is the closest to -0.2? (a) l (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005 less than -167575632?\nAnswer: -167575632.0005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, o: 1, a: 4, p: 5}. What is prob of picking 2 p, 1 k, and 1 a?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3272 a factor of 3591026544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.696321 - -0.696. Round o to five decimal places.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4681.\nAnswer: 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252961451.\nAnswer: 252961451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 233331\/16 - 14588. What is the common denominator of 67\/80 and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24607147.\nAnswer: 19, 1295113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**6\/210 - h**5\/10 - 43*h**4\/84 - 5*h**3\/7 - 2*h - 55. Factor o(u).\nAnswer: -u*(u + 1)*(u + 3)*(u + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**5\/150 - 159*s**4\/5 - 303372*s**3\/5 - 2415*s**2. Factor t(b).\nAnswer: -2*(b + 954)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2\/13*y**2 + 18\/13*y - 36\/13 = 0.\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6340*d**2*f - 3*d**2 + 52*d*f + 283*f + 1971 with respect to d.\nAnswer: -12680*d*f - 6*d + 52*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -24*1.9\nAnswer: -45.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303 = -u - 2*u. Suppose -4*x - i = -u, 5*x - 4*i - 123 = -2*i. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x + 15. Let c be a(6). Let u be (c\/(-6))\/(5\/340). Let z = 6 - -11. Calculate the greatest common divisor of z and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -80835510, -161671018, -242506526?\n\"Answer: -80835508*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -41*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-5 + -4 + 0 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -58 and -34 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7358 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.45? (a) -1 (b) -0.3 (c) 0.5 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 248 - 249. What is the nearest to y in -1, -2\/3, -11, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*q - 23 - 19 = -5*f, 18 = -4*f - q. Which is the closest to 30? (a) -0.3 (b) f (c) 2\/5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9040 and -254?\nAnswer: -2296160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -177? (a) 15\/11 (b) 1.8 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8008 = -4967*h + 4824*h for h.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/42, -3\/41, -1\/2?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13679, 27660, 41639, 55616, 69591?\nAnswer: 83564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c + 3. Let p = 7 + -1. Let f(o) = 13*o + 9*o - 19*o + 5 + 13*o - o. Let d(y) = p*f(y) - 11*b(y). What is the derivative of d(i) wrt i?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 4*g**2 + 3. Let u be z(3). Let a be u\/(1*5\/(-10)). Let q(i) = i - 4. What are the prime factors of q(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebewbwzzzebwzmezwbg. What is prob of picking 1 g and 2 z?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 18. Factor v*o**2 + 4172*o - 2 - 4172*o.\nAnswer: 2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11725 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 42994*-0.5\nAnswer: -21497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 1460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -6. Let b be 9\/y + (-2)\/8. What is the third derivative of -z**5 + 2*z**5 - z**b + 0*z**2 wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (452\/(-6))\/(12\/54). Let w = s - -189. Let v = -61 - w. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 238048 + 0*g + 119015 + 119013 - 6*g.\nAnswer: -2*g - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/10 and 31\/46?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*t**3 + 40710*t**2 + 273*t - 727 wrt t.\nAnswer: -24*t + 81420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-3))\/(3\/(-27)). Let m be 424\/12 - (-1)\/p. Solve -m = 3*i - 8*i - 5*b, 3*i - 2*b - 1 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 856\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.2 + 3. Let q be 3 - 0 - (-18004)\/98. Let y = q + -187. Which is the closest to -1\/2? (a) 2 (b) z (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {h: 2, f: 6, a: 5, k: 3, b: 2}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1818 - -1850. What is the greatest common divisor of k and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33.11 - -32.71. Which is the smallest value? (a) t (b) 0.34 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 101884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -27*a - 32. Calculate the remainder when r(-20) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*z - 3*z = 2, -3*z = -3*h + 6. Solve -p = 3*f + 3, -f + h = 3*p + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (0 - (-20 - -13))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2535*g**4 - 98585*g**3 - 995195*g**2 - 600115*g + 2032430 = 0.\nAnswer: -19, -2, 563\/507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24713827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*f = -8, 0 = -3*f + f - 6. What is the remainder when 67 is divided by a\/22 - 251\/(-11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.4 - 4.5. Let t = 3 + h. Let i = t - 5.9. Is i at most 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 42222923 and -0.52.\nAnswer: 42222922.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeieneiieene.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4.4. Let v = 208 - 208.1. What is the third biggest value in -2\/11, a, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/57960 and 191\/30240.\nAnswer: 695520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617 a factor of 1332408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 215 - 104. Suppose -8*q + h + 121 = 0. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4017*o + 5*p - 60 = 4022*o, 3*o = -5*p + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2, 2\/3, -55, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 6*i**2 - 7*i - 8. Let s be f(7). Let y = 11 + s. Let z be ((-6)\/(-16))\/(3\/(-6)). Which is the second smallest value? (a) -3 (b) z (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -170.7 + 163.7. Which is the nearest to -15? (a) 1\/4 (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5222 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -23*j**2 - 3*j - 1. Let x be b(1). Find the common denominator of (-1)\/2*(-1035)\/x and 131\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2810 (base 9) to base 4.\nAnswer: 201003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**0)**4\/(y**7\/(y**2*y)) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (34 - -4 - 7)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 1. Let y be (1 - -2)\/((-9)\/(-15)). Suppose z - 22 = -z + 3*p, 0 = -z - y*p + 11. Calculate the remainder when z is divided by c(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q - 6. Let p be k(-6). Suppose p = 8*c - 3*c. Suppose -c*b + 25 = -b. Solve -b*u + 19 = -6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 82. Let k = g + -87. Let q be 11\/4 + -1 + -1. Is k smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -281 + 271.7. Let r = g - -3.3. Which is the nearest to 2? (a) r (b) -3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -512\/13 (b) -13 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 33*f - 289. What is the remainder when 1564 is divided by n(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Let r be 46\/10 + -9 + 1176\/140. Solve q = g + r*g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeieei. Give prob of picking 1 i and 3 e.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 759459 and 837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1101*k**4 - k**2 - 11578*k + 452441673.\nAnswer: -4404*k**3 - 2*k - 11578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16217?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3129?\nAnswer: 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/112 and -91\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8806691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -26. Solve 0 = -3*w + 5*w - s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477?\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -45384, -181210, -406982, -722208, -1126396?\n\"Answer: 82*a**3 - 45465*a**2 - 5*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-8*d + 8*d - 4*d**5) + 5*d**5 - 4*d**5 + 0*d**5 - d + 13*d + 12*d**5 - 16*d.\nAnswer: 21*d**5 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43235377?\nAnswer: 23, 59, 151, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(2\/(-4) + 2). Suppose 4*u = s*z - 11 - 25, -11 = -z + u. What is the least common multiple of (8\/(-5))\/((-10)\/25) and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-12)\/28*(44 + -15927)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 227.\nAnswer: -681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*n - 75, 4*w = -5*n - 0*n + 274. Round w to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 7*i**2 + 5*i + 1. Let q be y(-6). Suppose 3*n - q = 17. Let m = -5 + n. Let g(j) = -j**3 + 2*j**2 + 2*j + 4. Calculate g(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*a = -82 + 467 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -347, -11, 38 in increasing order.\nAnswer: -347, -11, 20, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 3:36 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -248*v + 121. Let s(f) = -744*f + 364. Let b(i) = 4*s(i) - 11*u(i). Does 27 divide b(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -141148\/15 + 9414. Calculate the common denominator of m and 127\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from amzzzmzzzaaz. What is prob of picking 1 z, 2 a, and 1 m?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.4 or 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35489?\nAnswer: 23, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/6 + 6\/(-9). What is the tens digit of 228\/15 - x\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*q - 397 + 295 - 338 = 0 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/106 in 4, 0, 1\/2, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9 (b) -14 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 2)*(-13)\/(117\/(-60921)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 4204 - 172 = 0. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - 2*l**2 + 2*l**2)*(-1 + 7 - 7) - 39*l**2 + 15*l**2 + 40*l**2 + (2*l + l - 2*l)*(-2*l + l - l).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - -40. Calculate the greatest common factor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m + 11*m = 0. Let h(k) be the second derivative of 4\/3*k**3 - 11*k + m*k**2 + 0. Let r(a) = a**2. Determine r(h(b)).\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 7:31 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*x + 4895 = 8*z, 2*x - 3677 = -3*z. Suppose -5*u + 5*h = -z, 23*u = 24*u - 4*h - 260. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1244*u + 6410*u + 4822*u.\nAnswer: 9988*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -231\/5, -0.2, 1, -0.3 in decreasing order.\nAnswer: 1, -0.2, -0.3, -231\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 247 + -247. What is the smallest value in z, 3, -6\/11, 8?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/144 and -107\/160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41121387 by -3.\nAnswer: -13707129","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10335, -20626, -30925, -41238, -51571?\n\"Answer: -z**3 + 2*z**2 - 10290*z - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2432\/11 (b) -0.07 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 571098239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) + 0)*2)**2 - (-5*sqrt(1377)*-1)**2) + (-4 + (sqrt(1377) - (2*(sqrt(1377) + 0) + sqrt(1377))) + sqrt(1377))**2.\nAnswer: -27524 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2477?\nAnswer: 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 62*q + 442. Let m be f(-7). What is the highest common divisor of m and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 198b51 + -19?\nAnswer: 198b36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-18*16\/12)\/(3\/2)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10925017490 rounded to the nearest one million?\nAnswer: 10925000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3*p = -32, 85*d + 5*p + 2 = 109*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6444*o**3 + 36*o**2 - 36*o wrt o.\nAnswer: 38664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2205, -2605, -4 in decreasing order.\nAnswer: 2205, -4, -2605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*f*k**3 - 66*f*v - k**3*v + 6*k*v - 98*v wrt f.\nAnswer: -6*k**3 - 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 145*m - 533. Let t be w(5). Solve -203 = -11*u - t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**2. Let h(m) = -33*m**2 - 1. Determine g(h(b)).\nAnswer: -5445*b**4 - 330*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -58895 - -11?\nAnswer: -58884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 223*z**2 + 509*z - 13274. Determine y(225).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 90*d**2 + 184*d - 810. What is x(-92)?\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -42478 (base 10) to base 7\nAnswer: -234562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 16*c - 80. Let k be d(-20). Solve 0 = 5*w - 3*p + 34, -w + k*p - 20 = -5*p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -3*o + 57 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 35*n**2 + 2*n - 12. Let c be b(9). Suppose -5*m - 420 = 3*i + c, -5*m - 3279 = -3*i. Is 1\/((4 + -7)\/m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j - 132*j = 23*j - 4716 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2238*z - 3118 - 6351 - 1721 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*y**3*z**2 + 4*y**3 - 88*y**2 - z**4 wrt z?\nAnswer: -20*y**3*z - 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**6\/40 + h**3\/6 - 2*h**2. Let z be x(1). What is the remainder when z*((-387)\/6)\/3 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1580603 divided by -42719\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4231453960 rounded to the nearest 100000?\nAnswer: -4231500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2339049*z**3 + 5*z**2 - 5*z**2.\nAnswer: 2339049*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/6*(-3)\/(-2). Let o = 341 - 339. Is q at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 30904.72, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11855887 times 0.4?\nAnswer: 4742354.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18848837 and 25520748.\nAnswer: 6671911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*l - 62562, 22*y - 25*y = -l + 15636. Is 22 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54 times -0.11?\nAnswer: -0.0594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 58*b + 61*b + 47*b + 48*b. Let i(g) = -17*g**2 + 8*g. Let j(l) = 38*l**2 - 18*l. Let w(p) = -9*i(p) - 4*j(p). Calculate q(w(r)).\nAnswer: 214*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/11235 and -5\/1364571.\nAnswer: 47759985","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 2*m - 5. Let t be (-14)\/3 - (-2)\/3. Let q be f(t). Suppose -3*y - 2*c - 2*c = -16, q*y = -3*c + 15. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9 * -26479.\nAnswer: -76789.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 19 + 9 + 620*q - 78 - 615*q. Calculate m(0).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 334399.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 3*t - 15, 5*h - t + 9 = -3*t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from abbaybbya.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81 - 2*n + 5*n + n**4 - 6*n**3 - 79 to the form m*n + i + s*n**3 + r*n**4 + a*n**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1067 divide 108843370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + 3 - (-4 - -10)) + 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -2\/537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*s = 3*x - 76, -2*x - 4*s = -38. Let g be ((-8)\/6)\/((-4)\/6). Calculate the remainder when 279\/(-2)*g\/(-3) is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -68, -374, -1162, -2666, -5120, -8758, -13814?\n\"Answer: -39*r**3 - 7*r**2 - 12*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**8\/840 - l**6\/720 + 17*l**5\/20 - 34*l**2. Let i(c) be the third derivative of q(c). Calculate i(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.008 + -0.008. What is the closest to 4 in r, 0.1, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(832) + 2).\nAnswer: 12 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 1 - 1 - -2. Suppose 0 = r*x, 4*f + 2*x + 4 = 32. Calculate the remainder when f is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00155 to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**5\/3 + 8*l**4 - 10*l**3 - 556*l**2\/3 + 552*l - 432 = 0.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -40. List the prime factors of 30\/s*-2*10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223 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: Sort 3, 67, -6, -4, -1 in descending order.\nAnswer: 67, 3, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 175 = -8*a + 4*a, a - 49 = -3*p. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*q - 381, -q + 4*k - 16 = -123. Let c = q + -118. Let m(x) = 3*x + 2. Let n(v) = v. What is c*n(u) - m(u)?\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 11*n + 4. Let j(t) = -11*t - 2. Calculate -3*j(g) - 2*x(g).\nAnswer: -2*g**2 + 11*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 19, r: 1}?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 9*h**2 - h - 5. What is the units digit of b(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -4578.\nAnswer: 2289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -3 - (4 + (1 - 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 119039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 11:18 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27)\/15*(0 - (-30)\/(-9)). Solve -k = -2*d - d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**19*r**(-4\/9)*(r*r**7)**5 assuming r is positive.\nAnswer: r**(527\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87 + 59. Let z = 48 + n. What is the remainder when 38 is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211782284.\nAnswer: 2, 7, 19, 398087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/378 and 94\/247401.\nAnswer: 494802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*b - 345*b = -195*b - 308 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*u + 18 + 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 4 + (-10 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1217 is divided by 205.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (11\/10)\/(39\/390)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1188)*1 + sqrt(33))\/(-3*(sqrt(11) + sqrt(176))).\nAnswer: -7*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-5 - -1) + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 355063183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 13*y**2 + 16*y - 44. Let x be b(12). Solve -5*p + w - 3 = -2*p, x*p - 5*w = -4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a. Let d(x) be the second derivative of 23*x**3 + 15*x + 9. Give d(j(c)).\nAnswer: 414*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 178672*q - 23. Let g(a) = 6*a**2. Calculate r(g(s)).\nAnswer: 1072032*s**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*m - 1509267 - 4764438 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 260 (base 7) to base 8\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00500384 rounded to four dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.95 + -0.05. Let j = d + 14.94. Let i be 6\/5 + (-10)\/5. Sort i, 1, j in descending order.\nAnswer: 1, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*n**4 + 84*n**3 - 15*n**2 - 84*n.\nAnswer: 3*n*(n - 1)*(n + 1)*(5*n + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.99 - -1.05. Let o = b + -1.638. Let r = o - 0.4. Round r to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -372, -376, -382, -390?\n\"Answer: -u**2 - u - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-4)*(-4)\/(-6). Let p = q - -1. Let r(y) = -2*y**3 - 12*y**2 - 13*y + 15. Let k be r(-3). Is k equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.285145l to millilitres.\nAnswer: 9285.145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22330312 (base 4) to base 15.\nAnswer: d454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1299, 2560, 3783, 4968, 6115, 7224, 8295?\nAnswer: 9328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4.1+2\nAnswer: 6.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 6*u + 25. Let r(y) = -2*y - 8. What is 2*n(p) + 7*r(p)?\nAnswer: 4*p**2 - 2*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, -0.1, -80, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156847367 to the nearest integer?\nAnswer: 12524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12 = -0. Suppose a - 8 = 1. Let q = a - j. Is 5 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 - (1 + -45 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**5 + 2*y**4 + 34*y**3 + 38*y**2 - 32*y - 40 = 0.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 60*(7 + 1 + (-663)\/102). Let f be (29\/(-2) + 2)*-2. Let z = f + -15. Calculate the highest common divisor of a and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 754 - (0 - 3\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 125*d**4\/12 + d**3\/3 + d**2\/2 - 3*d. Let t be c(-1). Suppose b = -9 + t. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d + 43*d + 60 + 30 + 45*d - 20 - 116*d.\nAnswer: -13*d + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxppx. Give prob of picking 2 x and 1 p.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41317336 to the nearest integer?\nAnswer: 6428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u*u\/(u**(15\/4)*u*u)))**3)**(1\/5) assuming u is positive.\nAnswer: u**(57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 31*n = 230, -t - 758 = n + 730 - 1474 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 11*j + 3 as p*j + h and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert f65 (base 16) to base 15.\nAnswer: 127b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -213 + 210. What is the fourth biggest value in 4\/7, -3\/5, u, -0.01?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142857\/280 - 3573\/7. Suppose 0*y = -5*y - 3*v + 17, -5*y + 1 = -v. Which is greater: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7741.389 micrometers in kilometers?\nAnswer: 0.000007741389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266568.\nAnswer: 2, 3, 29, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 6:54 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-3 - -6) - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from vgqgwtz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 + 1026*q**2 - 342*q**2 - 343*q**2 - 341*q**2.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 552 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/4*(-2)\/(-12) - (-504666)\/(-368). Round u to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 48*f**2 + 40*f + 23. Let g(s) = 48*s**2 + 33*s + 23. Give -6*g(m) + 5*o(m).\nAnswer: -48*m**2 + 2*m - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 119, 190, 289, 416, 571?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(700)*-2 - (sqrt(700) + 3*(sqrt(700) + 2*sqrt(700)))**2) + (-2*sqrt(700) + 4 + sqrt(700)*1 + 0 + sqrt(700))**2.\nAnswer: -69983 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425 + 5609 = 54*k. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkffffffkffffffffk. Give prob of picking 3 k.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-89 + (65 - 37)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 623 + -293. List the prime factors of k.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*(-5*(sqrt(152) + sqrt(152)*2 + sqrt(152) + sqrt(152)))\/(sqrt(8)*-1*5))**2.\nAnswer: 1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18080, -35687, -53294, -70901, -88508?\nAnswer: -106115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/52 or 1\/36?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -140*x + 89. Let y be o(3). Let a = 336 + y. What is the smallest value in 10, a, 1\/6, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 + -58. Is 16 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519765887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -110*g - 4. Let d(t) = -115*t - 5. What is 3*b(h) - 2*d(h)?\nAnswer: -100*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c + 10340 = -137*c - 43*c - 21*c for c.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 minutes before 9:23 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 25064167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2 - -2) + -1)*4. Let d be (-118)\/(-177)*3\/8. Which is the closest to p? (a) -3 (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133 + -55 - 79 - (2 + 1 - 7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 12*k**2 + 13*k - 16. Let o be u(11). Suppose -3*q + o = -0*q. Suppose -4*b + 556 = -q*b. List the prime factors of b.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173238670 = -242*v + 136767222 + 1861460108. Round v to the nearest one hundred thousand.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - -34 - 18 - (-3 - 20)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2093*q - 1366*q + 3235*q = 110936 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**3 + 101*x**2 - 59*x - 195. Determine l(33).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12)\/90 + -2 + (-482)\/(-15) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -41*z - 1. Let q(r) = 462*r. What is l(q(n))?\nAnswer: -18942*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -289, -304, -2 in decreasing order.\nAnswer: -2, -289, -304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*z + 20 = 2*j, -3*j + 2*z = -16. Let w be 0 - (j\/(-18) - 1081208\/72). Let p = -2917 + w. What is p rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**12*h*h)\/(h\/h**8)*h**(2\/17)\/h**1 assuming h is positive.\nAnswer: h**(342\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**5 - 495*d**4 - 3740*d**3 + 2820*d**2 + 38160*d = 0. What is d?\nAnswer: -6, -4, 0, 3, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 3669 - 3494 = 0 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -115, 2\/19 in descending order.\nAnswer: 2, 2\/19, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 919? (a) 10 (b) 61 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times 1.05?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, m: 2, i: 9}. What is prob of sequence smm?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 2. Suppose 0 = -t + 3*v + 9, -5*t + 5*v = -23 - 22. Calculate the remainder when t is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**5 - 7 + 7 + (-2 + 1 + 4)*(-3*y**5 - y**5 + 2*y**5).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/115 and -37\/43120.\nAnswer: 991760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 617167672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 5*z - m + 15, 5*z = -5*m + 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2012455 + -2?\nAnswer: 2012453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -24238980 to the nearest one hundred thousand.\nAnswer: -24200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 36710, 1, -3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 8*n - 12. Let s(v) = -v**2 - 4*v + 2. Let b be s(-6). What is the units digit of q(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -109, -245, 2, -1 in increasing order.\nAnswer: -245, -109, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i + 19. Let w be f(3). Let z(v) = w*v - 10*v + v + 6*v. Let g(x) = 11*x**2. Give z(g(j)).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - (sqrt(343) - (sqrt(343) + -3 + sqrt(343) + 1*sqrt(343))) - sqrt(343))**2 + 5*(2 + sqrt(343)))*2.\nAnswer: -98*sqrt(7) + 2782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 16*u**2 + u**3 - 5*u**2.\nAnswer: u**3 - 22*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m - 23*m + 3 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 176112\/199 + -885. Let w = s - 175\/1592. Which is the closest to -1? (a) 3 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2024 - -94116533.\nAnswer: 94116533.2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (0\/3 - -1) - (585 + -681). Put 9, -4, l, 0.07 in descending order.\nAnswer: l, 9, 0.07, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = q - 25. Let s = q + -26. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 5035?\nAnswer: -5040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4802 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -636 - -654. Calculate the remainder when 53 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwdwdww. Give prob of picking 2 d.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 14*m - 13. Let q be b(11). Suppose 45 = 5*c - q. Suppose a + 6 = 3*a, -3*a = 2*t - 217. Calculate the highest common divisor of c and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 556435\/624 - 11610\/13. What is the common denominator of 107\/366 and j?\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178875143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -31 + 25. Suppose 0 = 3*k + 4 + 2, 0 = -d - 2*k - h. Which is the nearest to d? (a) 4 (b) -6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -3792847518?\nAnswer: 3792847515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 5*r - 1. Let x be c(3). Suppose 2*u - 3*b = 1259, -x*b = u - 4*u + 1888. List the prime factors of u.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/668 and -5 - 15094\/15030*-5.\nAnswer: 6012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*s + 3*s - 60 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 - 3*r - 7. Let o(i) = 4*i**2 - 2*i - 8. Let p(b) = 2*o(b) - 3*t(b). Let a = 25 - 20. Let m be p(a). Sort m, -4, -5 in decreasing order.\nAnswer: m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157 + 42. Let z = -61 - o. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6300)*-2*-4 + sqrt(6300))*5)\/(sqrt(81) - 2*sqrt(81)*-1 - (sqrt(81) - sqrt(81)*2*-2)).\nAnswer: -75*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n - 4. Let i be b(5). Let y = i - 6. Sort 5, -1, -2, y.\nAnswer: -2, -1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -5. Suppose -1 = s + n*h, -2*h + 3*h - 3 = -2*s. Suppose 8 = s*j + 2. Solve 0*p + 2*p - 26 = 4*c, 3*p - j*c = 27 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p**3 + 2*p**2 + 2*p + 1. Let w be n(-1). Factor -f**5 - 2*f**5 + 0*f**5 - w - 6*f**2 + 11 + 6*f**3 + 3*f**4 - 3*f.\nAnswer: -3*(f - 1)**3*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*q - 3*q - 7*q)*(0 + 1 - 3 + (1 - 6 + 4)*(5 + 1 - 4) + 6 + 1 + 1) + (5*q - 4*q + q)*(1 + 0 + 2))*(-6*q + 3*q + q) to y*q**2 + w*q + h and give y.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/4 - 4\/(-8). Is (0 + -2)\/(y\/(-63)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -533 = 56*m - 69*m. What is the remainder when 778 is divided by m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 2*m + 1 + 7\/3*m**3 - 1\/4*m**4 - 5\/2*m**2. Is s(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.1 (b) -3 (c) -3\/403 (d) -5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1884834 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -664, -1329, -1994, -2659, -3324, -3989?\nAnswer: -4654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/56, 2, -2\/39, -1, -21 in decreasing order.\nAnswer: 2, 1\/56, -2\/39, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*t + 11 + 44. Let c = -203 + 206. What is the remainder when t is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - d**2 - d. Let t(x) = 8*x**3 + x**2 + x - 1. Let v(a) = -a - 8. Let s be v(-6). Let m(u) = s*b(u) - t(u). Give m(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 436091 divided by 916\nAnswer: 436091\/916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -1) + 1\/1. Suppose -h*a = -5*v + 20, 2*v - 4*v = -2*a - 14. Let q be 2\/((-12)\/(-9))*v. Solve k - q*y = -7, 0 = k - 4*y - 3 + 14 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6524187?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 3*v - 5*v. Calculate the least common multiple of 2 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, i: 1, e: 7, k: 4, y: 1}. Give prob of picking 2 e.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 353*w - 110830. Determine z(314).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58100973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + 29. Suppose 0 = 3*k + 15, 3*k - 5*k - 56 = -2*g. What is the remainder when n is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7482121 (base 9) to base 11\nAnswer: -229a024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/10660 and -51\/2665.\nAnswer: 10660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.022 (b) -2\/11 (c) -1\/7 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47*g**4 + 29?\nAnswer: -188*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 65, 56, 43, 26, 5, -20, -49?\n\"Answer: -2*b**2 - 3*b + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5247 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1225 + 333?\nAnswer: 1561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 92400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 15*g**3 + 10*g**2 + 11*g + 11. Let o(u) = -3*u**3 - 2*u**2 - 2*u - 2. Let i = 27 + -40. Let b be -1 - ((-12)\/4 - i). Calculate b*o(j) - 2*m(j).\nAnswer: 3*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apcps. Give prob of sequence spap.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(3*i**5 - i**5 + i**5) + 63*i**5 - 4*i**5 + 50*i**5.\nAnswer: 115*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 4 + 20. Let k = -9.25 + 9.45. What is the second smallest value in 4\/5, k, 1, v?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, w: 9}. What is prob of picking 2 w?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 61*k**2 + 10*k - 4*k - 60*k**2. Calculate u(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/6)\/(54\/1457601008). Let k = z + -13497895. Let n = k - -1592. Calculate the common denominator of n and -35\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aff when three letters picked without replacement from {l: 3, f: 4, a: 8, v: 4}?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.79 + 383.21. Let k = s + -386. What is the third smallest value in 2, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 - 30*p + 4988. Let r be j(43). Let h(w) be the third derivative of 8\/3*w**3 + 2\/3*w**4 + 1\/15*w**5 + 0*w + r - 9*w**2. Solve h(o) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 427 - 3812*h - 427 - 12683*h to the form o*h + p and give o.\nAnswer: -16495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 4*l + 20. Suppose -2*f = -0*f + l. What is the units digit of ((-50)\/(-4))\/(-5)*f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -230222 + -4?\nAnswer: -230231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766235 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**13*k\/(k**(3\/16)\/k)*((k**(6\/5)\/k*k)\/k)\/k*k**(2\/21) assuming k is positive.\nAnswer: k**(23701\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 25*c - 28. Let b(w) = 24*w + 30. Let u(f) = 4*b(f) + 3*m(f). Factor u(x).\nAnswer: 3*(x + 3)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 518309059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 15 - 3*r**2 + r**3 + 5*r**4 + r**2 + r in the form b*r**2 + t*r**3 + d + x*r**4 + f*r and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Suppose -j + 9 = w*j. Solve -j*k + 17 - 2 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50610 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: Factor 3*p**2 - 2525844*p + 531657326028.\nAnswer: 3*(p - 420974)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.74, -4\/7, -4, 402\/11.\nAnswer: -4, -1.74, -4\/7, 402\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2293\/559 - (-18)\/117. Which is bigger: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*x = 4*q + 2*x + 7*x + 44*x + 27, -q + 3 = -3*x for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 94. Let m = s - 5. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 139721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -54*n - 4. Suppose -11*u + 10*u = 2. Let s be g(u). Suppose 0 = -5*m + 4*a - s + 293, -m - a + 45 = 0. What is the remainder when 81 is divided by m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101 - -156. What are the prime factors of j?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**5\/5 - 184*l**4\/5 - 738*l**3 + 21676*l**2\/5 - 36376*l\/5 + 18576\/5 = 0.\nAnswer: -54, -43, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 325504 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 1.31, 2\/13, 7, -14?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12178549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 27 = 2*t + t, 4*t = -3*b + 31. Solve b = 5*d + 2*x, 5*x + 6 = -2*d - 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8*h. Let r(m) be the second derivative of 89*m**4\/12 - m + 54. Calculate r(c(n)).\nAnswer: 5696*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drjr when four letters picked without replacement from drdugueujgrg.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1\/8, 7\/3, 3\/2, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h. Let y(b) be the third derivative of -b**4\/6 + 2*b**2 - 167*b. What is z(y(l))?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -0.2780759?\nAnswer: 0.0780759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**3 + 244851*l**2 - 244851*l**2.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 7*m**2 - 6. Let o be n(-7). Let a be 0 + -4*o\/8. What is the third smallest value in 1\/3, -1\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5872861981?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 22*b. What is the units digit of n(29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*n + 2*n - 4*n in the form k*n + w and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6363, 0.039, 0.6?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b**2 + 5*b + 4. Let a be k(6). Suppose 4*f = -f + a. Let o = f - 36. What is the remainder when 25 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8783.\nAnswer: 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -128*a**3 - 7*a**2 - 2*a + 11. Let m be q(-4). Let z = m + -3060. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86280091 divided by -3\nAnswer: -86280091\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/18*-3*-4. Find the second derivative of 29 - 62*l**2 - 6*l + 2*l - u*l + 5*l + 4*l wrt l.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.09915s to nanoseconds.\nAnswer: 44099150000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/126 and 49\/1331154?\nAnswer: 9318078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 481222253 to the nearest integer?\nAnswer: 21937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -60*k - 13. Is c(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 46*z + 453. Let c be v(-14). Sort 2\/9, c, 0.3, -0.1, 0.5 in decreasing order.\nAnswer: c, 0.5, 0.3, 2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(605)*2)**2 - ((-1 + sqrt(605))*-4)**2 - (1 + sqrt(50)\/(sqrt(50)\/sqrt(5))*3).\nAnswer: -7276 + 393*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 4*t = -6, -4*q + 2*t - 42 + 54 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 20 = -8*p + 11*q, 2*q = 8. Solve 38*m - 75 - 77 = p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*j = -2*b - 18, -4*b + 35 = -3*j. Suppose 3*p = c + 7*p - 28, 20 = 3*c - 4*p. Solve -b*w = -c*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1511*k - 5 + 5 - k**2 + 616*k.\nAnswer: -k**2 - 895*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -11*l**3\/3 - l**2\/2 - 463*l + 207. What is the derivative of f(w) wrt w?\nAnswer: -22*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 12*t, -2*z - 271*t - 6 = -273*t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55745.\nAnswer: 5, 11149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 9. Let t be ((-2)\/a)\/(((-21)\/(-518))\/(-3)). Is t at least as big as 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 + 25*h - 93. What is the units digit of b(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 - 195 = -6*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**3 + z**2 - z**2)*(14 - 4 + 10 + (0 - 4 + 3)*(-5 + 1 + 2) - 1 + 1 - 1 - 1 + 0 + 0 + 0 + 3 + 0) as u*z + q*z**3 + a*z**2 + b and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -324.5 + 324.5000000248. What is j rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x + 81*x - 57*x = 150 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s - 3 - s + 5 + 2*s. Let j be z(6). List the prime factors of ((-12)\/j)\/(12\/80).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c - 287 - 1208 - 59 = 0 for c.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -425 + 421.41. Let r = 0.39 + n. Let w = -2.75 - r. Round w to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**1\/s)**(2\/95))**(-17))**13 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(117) - (sqrt(117)*-1 + 2)) + 1 + 2)**2*-5.\nAnswer: -21465 + 1620*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 1147410*l**2 + 142221180*l + 4408260760.\nAnswer: 5*(l + 62)**2*(l + 229358)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 - -17865175?\nAnswer: 17865202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5908 times 10.09?\nAnswer: 59611.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**3 + 96*o**4 - o**3 + 0*o**3)*(-81 - 81 + 56 - 157 - 129) in the form z + i*o**2 + h*o**4 + l*o + x*o**3 and give h.\nAnswer: -37632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13072492 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2038474 - -3527915. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1733.10786 rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 97*u**3\/3 + 3*u**2\/2 + 4*u + 5. Let a be p(-4). Let v = a - 5944. Round v to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16166 and 48772?\nAnswer: 2877548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*(-8)\/(-6). Let q = -701 + 665. What is the units digit of (2\/(-6))\/(i\/q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/2)\/k**23)\/(((k\/(k\/(k*k**5)))\/k)\/(k\/(k*k*k**(5\/7)))) assuming k is positive.\nAnswer: k**(-437\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 19*h**2 + 7*h + 25502. Let k be r(0). What is k rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2596*l**4 - 1615*l**2 + l - 46723163?\nAnswer: -10384*l**3 - 3230*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2280)\/(-57)*(-3)\/(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from bpnrekp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 149 + 98. Let y = r + -259. What is the third smallest value in -5, y, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-28 - -48) + (-5 + 2 - -11))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 + -1.6?\nAnswer: 99.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 5*v - 12. Let o be c(6). Let m(j) be the third derivative of -j**6\/120 - j**5\/12 + 5*j**4\/24 - j**3 - 4*j**2. Give m(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725*c - 13650 = -1075*c for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 46*c = -50*c + 1170. Sort 6, -3, c in increasing order.\nAnswer: -3, 6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 37656, -2 in descending order.\nAnswer: 37656, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2356 is divided by 164.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 104?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 48.34011 and -1.5592?\nAnswer: 49.89931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 26.3. Let a = 3.7 + z. Sort a, 1\/4, 2 in descending order.\nAnswer: a, 2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 2*z - 2. Suppose 11 - 3 = -4*u. Let b be q(u). Suppose 4*h - 28 = b*y, 2*y + 2*y + 2 = -h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (2\/(-152)*4 - 9087\/988)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1121, 5 in decreasing order.\nAnswer: 1121, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5 + 32*l**4 + 134*l**3 - 380*l**2 = 0. What is l?\nAnswer: -5, 0, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 74353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 441 - 441 + 99*c**2 + (c + 4*c + c)*(0*c + c + c) + 0*c**2 + 3*c**2 - 5*c**2 - 2*c**2 + 0 + 0.\nAnswer: 107*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 9:01 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10211?\nAnswer: 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*18\/(-21)*-49. Suppose 2*h + 0*f = -f + 38, 5*f = -2*h + 38. Let r = c - h. What is the remainder when r is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from dbzddbddb?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -45. Let d = 62 - 58.2. Let m = d - 3.8. What is the third biggest value in -0.5, m, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/9 + 1736*w + 6225920\/9.\nAnswer: -2*(w - 8192)*(w + 380)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + -1.5.\nAnswer: 52.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 5*m**2 + m - 4. What is a(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**5\/20 + h**4\/6 - h**3\/3 + 3*h**2\/2 - 4*h. Let g be o(-3). Solve k = -3 - g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 250*y + 1 - 1 + 2092*y**2 - 2093*y**2 as h*y + d*y**2 + f and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21030 (base 6) to base 7.\nAnswer: -11145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q. Suppose -2*f + 5*l + 22 = -3, 4*l = -20. Let p(h) = 0*h + 22*h**2 - 21*h**2 + f*h. Determine t(p(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 - 2*i**2 + i + 2. Let p be s(-2). What is the remainder when 66 is divided by (12\/p)\/(6\/68)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3118 is divided by 164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p + 95. Let u be s(-27). Let n(x) = -x**3 - 14*x**2 - 16*x - 34. Let a be n(u). Sort a, -1, -3, 8 in descending order.\nAnswer: 8, a, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -128 (b) 1 (c) -4 (d) -8\/15 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57525662 to the nearest integer?\nAnswer: 7585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 1111110001011111111?\nAnswer: 1111110001011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 10293732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -740*i**3\/3 - 764*i**2\/3 - 8*i.\nAnswer: -4*i*(i + 1)*(185*i + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -1.254?\nAnswer: -1.254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 + 2*o**2 - 3*o**2 + (0 - o + 0)*(o + 3 - 3) + o + 6*o + 2*o**2 - 38*o.\nAnswer: 3*o**2 - 31*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 91 + -493?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -12. What is the tens digit of (-28)\/(-3) - 6\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18514 is divided by 3052?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**4\/3 + 135850*s**3\/3 + 4613262193*s**2\/3 - 12304206200*s + 24609861552 = 0?\nAnswer: -67929, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 131 - 220 + 110 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**3 + 10*y**2 + 14*y + 6 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 2. Let d(p) = -1. Let n be 77\/(-11) + 16 + -3. Give n*d(w) - s(w).\nAnswer: -w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 546 and 2\/(-11) + (-1048432)\/(-4477).\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 33*x + 1. Let r(s) = -13*s**3 + 2*s**2 + 79*s - 1. What is 2*a(z) - r(z)?\nAnswer: 11*z**3 - 2*z**2 - 13*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149 - 746\/5. Let f be ((-36)\/(-2))\/(-3)*3. Let p be 0 - (21\/f + 1). What is the second smallest value in p, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 11*g + 4. Let x be m(11). Suppose 2*a - 7*a = 5*b - 185, 3*a - 115 = -5*b. Suppose -d - x*d = -a. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**4 + k**4 - 3*k**4)*(1 + 2 + 3 + (-2 - 1 + 1)*(6 - 2 - 2)).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/9 + 1305\/(-540)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*i, 5*i + 4*z + 0*z = 0. Suppose 175 = 5*g - i. Suppose -5*b - 6 - 14 = 0, -56 = -3*p + 5*b. Calculate the remainder when g is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g + 8. Suppose g*a - 617 - 773 = -2*s, s + 3*a = 700. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*((-4)\/3 + 1). Calculate the lowest common multiple of 12\/8 - (w + 604\/(-8)) and 5.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 3. Let t = -4 - y. Suppose 4*d - 2*w - 28 = 0, -3*d + 3*w + 9 + 9 = t. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/5 of a decade?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 878774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/6 (b) 0.06 (c) -0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17937990*o**3 + o**2 - 265700*o + 3.\nAnswer: 107627940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*z - 291*z + 364 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6763.\nAnswer: 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*u + 4*u - 8, g - 7*g + 5*u + 44 = -9*g - 0*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 34. Let b be r\/((-1)\/(-4))*(-2)\/(-4). Suppose -1533 = -2*y - v, b*y - 3*v - 1558 = v. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103.87 + -0.87. Let w = -96.188 - -0.188. Let b = r + w. Sort -5, -4, b.\nAnswer: -5, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 plus -17?\nAnswer: -16.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0972881451678 take away 3?\nAnswer: -3.0972881451678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -4318, 43650 in ascending order.\nAnswer: -4318, 4\/7, 43650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 220247112419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/((-14)\/8) + (-6 - -4). Solve n*t + 12 - 2 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**4\/6 - 4*j. Suppose -5*l + 2*i = -14, 5*i = -7*l + 2*l. Let d(h) = 2 - l*h - 2. Determine o(d(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 + 5*c + 3. Let d(y) = y**3 - 4*y - 2. Suppose 0 = -3*s + 40 - 31. Determine s*d(a) + 2*j(a).\nAnswer: -a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 202663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 1:19 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51.00051 - 51. What is t rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 - 17*w + 2. Let o be z(6). Suppose 0 = -o*m - 126 + 1950. Calculate the remainder when m is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, y: 1, b: 1}. What is prob of picking 1 g and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 10. Let p be v(13). Let z be p\/4 - 10\/(-40). Which is the second smallest value? (a) z (b) 2\/9 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11669204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 16350?\nAnswer: 16342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 2\/3*g**3 - 3*g + 0*g**2 + 3. Suppose 0 = -r - 1 - 2. Calculate i(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12626 + -3?\nAnswer: -12631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18831131497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 166*c**2 - 578 + c**3 + 578 to the form r*c**2 + f + z*c**3 + h*c and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 54 = -198. Let g be (-3)\/4*(-3)\/(z\/16). Solve 3 = -j, v - j = g + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -9*b**2 + 1. Let s be -2 - (3 + -2 + 0). Let k(q) = -q**2 - 4*q - 2. Let o be k(s). Determine f(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1977 (base 15) to base 6.\nAnswer: 41304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156826 = -67*a + 48*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252695 divided by -1.\nAnswer: 252695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1 - (13 + -10)) + 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + (-1300)\/(-39))\/((-41)\/(-123))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Suppose -15 = -5*l + v*l. Solve -1 - 4 = -l*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3346 + -0.0458537?\nAnswer: 3345.9541463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/35 smaller than -133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 0 + (-2 + 1 + 0)*(-5 + 0 + 4) - 1 + 0 + 3)*(0 - 3 + 4)*(-3*n + 5*n - n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/19, -2\/5, 75, -0.021?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73179355*p**2 - 184*p + 22628 wrt p?\nAnswer: -146358710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -2\/17 (b) 2\/3 (c) -315\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, w: 2}. What is prob of sequence gg?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2224 + 2219. What is the second biggest value in -2\/3, k, 11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 327880 divided by 65576\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1451 - -1453. Sort -2\/17, -0.7, b in ascending order.\nAnswer: -0.7, -2\/17, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11346*d**3*p - 2*d**3 - 9*d**2 + d*p - 53734 wrt d?\nAnswer: 68076*d*p - 12*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -5.8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3204*k + 9626. Determine s(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 14.0704956 hours?\nAnswer: 0.08375295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 17 = -2*k + 28, -4*g + 30 = k. Calculate the lowest common multiple of 4 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r**2 - 5*r - 1. Let v(d) = -3*d + 7*d - d**2 - 3*d. Calculate l(g) + 5*v(g).\nAnswer: 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.235 * 0.4\nAnswer: 0.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 519243765 divided by 103848753\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1320 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.55065km to meters.\nAnswer: 22550.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -7. Suppose 2*x + 0 = q. Factor -x*i**2 - 3*i - i + 2*i + 4*i**2.\nAnswer: 2*i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 111444104?\nAnswer: -111444102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 108066 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 + -63. Calculate the least common multiple of w and 46.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 487092.204091 + -487092. Let j = d - 0.204. What is j rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/419849284?\nAnswer: -1\/419849284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 39 = 209. Let b be 2\/4 + g\/4. Solve -5 = -3*f - f + 5*p, 0 = 3*f - 2*p - b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.07, -1\/2, 0.4.\nAnswer: -1\/2, 0.07, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 528\/1408 - 327\/(-24). Solve -y*n - 474 = -418 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbbs when four letters picked without replacement from {s: 11, b: 5}.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3587048 - -16?\nAnswer: -3587032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 7. Let t = 8 - d. Let w(b) = -t - b + 8. Let x(n) = -n. What is w(x(i))?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1674, -3487, -5302, -7119, -8938, -10759, -12582?\n\"Answer: -x**2 - 1810*x + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 5 - 5 - d**2 + (2*d - 34 - 46 + 85)*(-58*d - 126*d - 54*d) as l + g*d + j*d**2 and give g.\nAnswer: -1189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**2 - 24672*j - 38044224 = 0.\nAnswer: -3084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2338 by -1.\nAnswer: -2338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10609176\/5 or 2121834?\nAnswer: 10609176\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccjz when four letters picked without replacement from {t: 3, z: 2, c: 6, w: 5, j: 2}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -0.1, -11, -23?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (2 - (-1 + -1 + 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 639, 4?\nAnswer: 639","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + -31. Let v = 9 + 28. What is the remainder when v is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21*1\/(-2))\/((-75)\/(-50))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41934 - 12517. List the prime factors of m.\nAnswer: 23, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12+-3284067527\nAnswer: -3284067539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyk when three letters picked without replacement from {l: 5, k: 1, y: 3, z: 6}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xss when three letters picked without replacement from {s: 5, x: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 56, 4, 1, -10, -82 in decreasing order.\nAnswer: 56, 4, 2, 1, -10, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*h - 2*h + h)*(-5*h + 4*h + 3*h)*(-3 + 4 + 1) to j + m*h + c*h**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5200, 8841, 12480, 16117, 19752?\nAnswer: 23385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*x + 3*h, -4*h + 9 = 5*x - 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2718245120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -77*h + 232*h - 159*h. Let y(r) be the first derivative of r**2 + 1. What is y(g(f))?\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2. Let n(m) = m + 1. Let h(j) = j**2 - 4*j - 2. Let o be h(0). Let y(d) = 4*d + 3. Let z(q) = o*y(q) + 6*n(q). What is p(z(k))?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -3, 2\/5, 0 in descending order.\nAnswer: 2\/5, 0, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*(-4 + 3*(3*sqrt(1872) + 2)))**2 + 5.\nAnswer: 432*sqrt(13) + 151646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 252\/1259 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) 0 (b) -0.06 (c) 13\/8 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 16. Let v be a(-6). List the prime factors of (-2)\/v - (-26720)\/100.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 13 = 2*f - 2*x, 33 = 3*f - 4*x. Let l(s) be the first derivative of s**3\/3 - 3*s**2 + 6*s + 3. Determine l(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -31, -6, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.087 and -136360.7.\nAnswer: -136360.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10615 and 539?\nAnswer: 520135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -80*l**5 + 13480*l**4 + 912835*l**3 - 1411715*l**2 - 876170*l - 116600 = 0.\nAnswer: -53, -1\/4, 2, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99 - 74*r + 106 - 209 + 390*r to the form y + m*r and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.9 + -5.6. Let z = 33728 + -33732.3089. Let y = v + z. What is y rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, 162, 3043?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488503381 is divided by 162.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 6*p**5\/5 + 3*p**4 - 81*p - 228. Differentiate y(n) with respect to n.\nAnswer: 24*n**3 + 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3907881?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 8*i - 5*i)*(-2599 + 2599 + 467*i).\nAnswer: 934*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 4. Let p(l) = -1. Let h(c) = 5*c + 6 + 195*c**2 - 196*c**2 + 0*c. Let w be h(8). Let f be (w\/63)\/(6\/(-21)). Determine f*u(i) - 5*p(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82.3 + 315839435.\nAnswer: 315839517.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*b - 2*l, -19 = 2*b - 5*b - 5*l. Sort 0, -4\/7, b.\nAnswer: b, -4\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2630, 10240, 22780, 40244, 62626, 89920, 122120, 159220?\n\"Answer: -t**3 + 2471*t**2 + 204*t - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*f - f. Suppose -c + 4 = v - 2*v, -f*c + 12 = 4*v. Suppose s - 4*i - 18 + 39 = 0, 2*s + 4*i - 18 = 0. Which is bigger: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*k**2*l**2 + 2*k**2 + 924*k*l + 61082*l**2 - 440*l wrt l?\nAnswer: 12*k**2 + 122164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9811 + 10111. Calculate the highest common factor of 84 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 821169 and 2553?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3299, -509, 5 in decreasing order.\nAnswer: 5, 4, -509, -3299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**2\/2 + 3*l - 4. Let j be y(0). Calculate the highest common factor of j and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*p + 421 = 4*x, 264 = 3*x - 5*p. Calculate the remainder when (-1209)\/(-7) - 4\/(-14) is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -5, 1, -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5730 = 2*f - 1332, f + 2207 = 3*s. Let i = 3162 + f. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3958*c + 7874. Calculate s(-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -0.1234, -1\/11, 3\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 2*d - 2. Suppose -12 = 5*t + 8. Let u be y(t). Let m be 5\/30 - (-11)\/u. Solve 16 = 2*b + m*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 + 4)*(-38)\/(-6) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + u)*(0*u**2 - u**2 + 0*u**2) + (5 - u - 5)*(2*u**2 + 2*u**2 - 3*u**2) - 4*u**3 - 2*u**3 + 5*u**3 + 32*u**2 - 7*u**3 - 32*u**2.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -256 times 193644\nAnswer: -49572864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2 - 6. Let x(u) be the second derivative of 0 - 1\/2*u**2 - 1\/2*u**3 + y*u + 1\/3*u**4 - 1\/20*u**5. Determine x(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9644 smaller than 106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5645515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 22 = 2*n - 58, l + 2 = -4*n. Suppose 7*u = -91 - 847. What is the tens digit of u\/(-3) + 12\/l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 15 = 5*j - 0*j, -5*l + 4*j = -17. What is the greatest common factor of l and 395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/7875 and 29\/135.\nAnswer: 23625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11312 and 15568?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5734 + 19535. List the prime factors of u.\nAnswer: 37, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5*o - 21, -4*s - o = 6 + 5. List the prime factors of (2\/s)\/(8\/(-944)).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 12:00 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*(sqrt(1152)*2*-1 + sqrt(1152))**2.\nAnswer: 5760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -285*l - 9604. Let d(g) = -178*g - 6403. What is -8*d(w) + 5*s(w)?\nAnswer: -w + 3204","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 + -69. Which is the closest to -2? (a) -2\/7 (b) 0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 39\/2, -1\/10, 0.2, 2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**26*t*t**(2\/11)*(t**(-17))**33 assuming t is positive.\nAnswer: t**(-5872\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 6 (b) -0.4 (c) 1\/2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(112)*3.\nAnswer: 4 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/15 (b) 0.2937 (c) -3 (d) 3\/4 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 16 = 3 + 5. Which is the second smallest value? (a) 3 (b) 0.01 (c) -1 (d) r (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 14*j - 66. Let h be k(-18). Suppose 36 = -n + 3*n. What is the smallest common multiple of 1\/(98\/16 - h) and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 2*d**2 - 2*d + 3. Let f be 25\/15*9\/5. Give g(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -76*h**3 - h**2 + 1. Suppose 0 = 4*c + 6 - 2. Let x be n(c). Suppose 2*a - a = 3*g + 16, -2*g = -2. What is the greatest common divisor of x and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 47*p**2 - 95*p + 138. Calculate q(-49).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*l**3 + 6*l**2 + 32 + 24*l = 0. What is l?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4770307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(21\/4)*j*j**(-37))**(-15))**(1\/7) assuming j is positive.\nAnswer: j**(1845\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -4\/15 (c) 3 (d) -3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/5 (b) 10 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*x - 156 = 30, 0 = 5*j - 3*x + 986. Let h = j - -203. What is the greatest common divisor of h and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -39 - 70 + z**2 - 63 + 220 - 15*z. Determine l(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 + 0*t**2 + 26 - 90 + 2*t**2 + 0*t**2.\nAnswer: -3*t**2 - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61127 + 58283.1. Round g to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3542*d**3 - 2*d**2 + 2*d - 1. Let v(q) = -q**3 - 16*q**2 - 30*q - 27. Let w be v(-14). Is o(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34695673 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 3*l**2 - 4*l + 3. Let v(m) = 2*m + 20. Let i(p) = -p - 10. Let c(u) = -5*i(u) - 2*v(u). Let b be c(-6). What is a(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 3*k + 13 = 0, -14 = 9*t - 5*k + 15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**4\/3 - 2*u**3\/3 + 2*u**2. Let t be 39\/(-12) - 1\/(-4). Is 12 a factor of m(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**2 + 49*a + 174. What is the remainder when 134 is divided by p(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -353010*j**4 + 5881*j - 13?\nAnswer: -4236120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11*(-21)\/(-18) - (-4 + 5) and (3\/8)\/(64\/(-58) - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 36649\/20?\nAnswer: 36649\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 5*x. Let u be a(-4). Let k = 39 - 29. Suppose -m - k = 5*h, -22 = 5*m - 7*h + 4*h. Put 1, m, u in decreasing order.\nAnswer: u, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4494 or -2278?\nAnswer: -4494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03965945 rounded to 5 decimal places?\nAnswer: -0.03966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 16*l + 13. Let b be h(-13). Which is greater: -49\/2 or b?\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -63*s + 3728. Let h be b(59). Let n(f) be the second derivative of 0 + 3\/2*f**3 - 2*f**2 - h*f. Differentiate n(v) wrt v.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - 1430441424?\nAnswer: -1430441401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -0.4, -2.97, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 16*n**2 + 12*n - 32. Let m be 294\/(-18) - (-3)\/9. Let c be (2 - 23) + m\/(-6 - -2). Is l(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/672 and 49\/8?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpyy when four letters picked without replacement from uwuypwywyu.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y - 5. Let o be c(4). Let j = o - 9. What is the second derivative of 33*q**2 + q - 37*q**j - 4*q wrt q?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11668994 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 1)*(4 - 2*i - 4) + 2*i + 4*i - 3*i)*(-2*i**3 + 3*i**3 + 0*i**3).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 3*t - 2. Let u be l(5). Let k = u + -6. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 3.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5324 + -5324. Let k(r) be the third derivative of 0 + 0*r - 19*r**2 - 1\/20*r**6 - 5\/2*r**3 + i*r**4 + 0*r**5. What is the derivative of k(a) wrt a?\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44381331 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-195)\/156*(-3)\/(30\/(-4))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649?\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((11 - (12 + (2 - 6))) + 13)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 - 2*v**2 + 3*v**2 + (8*v - 5*v**2 - 8*v)*(-26 + 15 - 50).\nAnswer: 304*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517991.\nAnswer: 517991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37779.\nAnswer: 3, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*sqrt(5) + ((sqrt(180)\/sqrt(3))\/sqrt(12) - sqrt(5)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 24*d**2 + 7*d - 2. Let s(u) = 2*u**2 + 4*u + 2. Let n be s(-4). Let b be y(n). What is b rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 6. Let y be v(6). Let g(w) = w**3 - w**2. Let m be g(y). Suppose 14 = -13*o + 20*o. Solve 0 = -2*l - 2*z - 3 + 1, -o*l + z + 13 = m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4*i - 102, 3*b - 55 = -i + 83. Let l = -42 + b. Let w(s) = s**2 - l*s**2 - 2*s**2 + 5*s**2. Let v(y) = 5*y**2. Determine w(v(n)).\nAnswer: 25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t + 2. Let v(w) = 7*w + 2. Let b(q) = 4*g(q) - 3*v(q). Give b(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103112?\nAnswer: 2, 12889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*z + 3*o - 167 + 176 = -39*z, 4*z - 22 = 2*o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 51 = -309. Let g be d\/(-9) - -8 - 5*-1. Solve 3*x - 10 = 2*b, 4*x - 9 = g*x - 5*b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqzzccczqzz. What is prob of sequence cq?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 58*l - 340. What is q(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-64)\/(-4) + 0)\/(8\/(-20)). List the prime factors of (l\/25)\/(1156\/580 - 2).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((4\/(-10))\/((-24)\/20))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.05 or -12\/30065?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 + 0*u - 8*u + 12*u + (-4*u + u + 4*u)*(3 - 3 - 1).\nAnswer: 3*u + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 + -1 + (2 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 2*q + 2. Let i be d(-1). Suppose p - 2 = i. Suppose -3*h = -p*f + 45, 3*h = -2*f - 1 + 11. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/3 - 6\/9. Let y(b) = b. Let x be (-49)\/28*-2*10. Let s(c) = -26 + 4*c + 61 - x. Calculate g*y(q) - 3*s(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -2911*z**7\/7 + 401*z**3\/3 - 1617. Find the third derivative of a(d) wrt d.\nAnswer: -349320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 730, 2944, 6636, 11806, 18454, 26580?\nAnswer: 36184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88819 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.423 - 0.023. What is the smallest value in 6, -9, w?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y - 6 + 48. Let o = -47 - -51. Suppose -o*t + 39 = 35. Calculate the highest common factor of t and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90517 and 854.\nAnswer: 11043074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbcckh. Give prob of picking 1 k and 2 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -7023, 3, 103?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/5 + 382268*i\/5 + 18266102978\/5.\nAnswer: 2*(i + 95567)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0.1. Suppose 230 = -4*k + 62. Let y be (-2)\/3 - 16\/k. What is the nearest to 1\/2 in y, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*p + 17609 = 0, -4*x = 19*p - 15*p - 35288. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/27 (b) 0.01 (c) -2\/7 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*m**3 + 32*m**3 - 5*m + 5*m + 88*m**3 - 45*m**3.\nAnswer: 164*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 + 0*f**4 - 3*f**4 - 3*f**4 + 4*f**4 - 4*f**4 + (-f**2 + f**2 - f**3)*(0 - f + 0).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25, 5, 0.3, -2, -128, -4, 2?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2333202 (base 4) to base 2\nAnswer: 10111111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 434704984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35800.57 days to hours.\nAnswer: 859213.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40657116 + 11?\nAnswer: -40657105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**5\/20 + n**2 + 33*n - 1. Calculate w(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.41 + -0.59. Is d less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1768 by -3.\nAnswer: -1768\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 7. Let j = -2 + a. Solve 1 = n - j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**2 - 6*u - 17. Let a(k) = 1. Calculate 3*a(y) + g(y).\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*z = 132 + 211. Let i(w) = -2*w + 1. Calculate i(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-80))\/(129\/(-688))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -112. Let h = o - -86.9. Suppose 0 = -4*k - 4*s + 28, k - s = -3*s + 11. What is the nearest to k in -0.2, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 + 1. Let h(z) = -6*z + 26. Let m be h(5). Which is the third biggest value? (a) 7\/2 (b) y (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from wccueecewcweewciwuuw.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 103, 213, 311, 391, 447?\n\"Answer: -h**3 + 117*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 2*c**3\/3 - 170. Let m(y) = -25*y. Let h(f) = 49*f + 1. Let k(v) = -2*h(v) - 5*m(v). Give p(k(i)).\nAnswer: 1458*i**2 - 216*i + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 3576478.29\nAnswer: 17882391.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 422, 980, 1674, 2498, 3446, 4512, 5690?\n\"Answer: -d**3 + 74*d**2 + 343*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*172\/(-60)*-3. Let n = c - 32. What is the remainder when 20 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.06015\nAnswer: 0.06015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.08 - -6.08. Let g = 0.01458 - -6.98542. Which is the closest to g? (a) -1\/3 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82.1 + -79. Let z = d - 5.1. What is the smallest value in -0.2, z, -31\/7?\nAnswer: -31\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322100 rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863 is divided by 266?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t. Let l(s) = -50515710*s. Give l(q(z)).\nAnswer: -50515710*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 23*b + 18. Calculate the remainder when i(-11) is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 581310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*j + 36. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -290*s**2\/3 - 7896312*s + 326744\/3 = 0.\nAnswer: -81686, 2\/145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**6\/120 - w**5\/10 + 7*w**3\/6 - 2*w**2. Let s = -74 - -101. Calculate the remainder when s is divided by c(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1373449*c - 2 + 9044*c**2 - 1373449*c to q + s*c**2 + t*c and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/13 + 40424*d**2\/13 - 242490*d\/13 + 363708\/13.\nAnswer: -2*(d - 20206)*(d - 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1 + 5 = 0. Let j = w + 1. Let g(d) = -2*d + 2*d - d. Give g(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 3*t + 0*t)*(-8 + 25 - 14 - 2*t).\nAnswer: 2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.5, 349.53, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 5*c - 1. Let h = 12 + 5. Suppose 0 = -5*a + 8 - 73. Let v = a + h. What is y(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {y: 7, j: 9, i: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.2, 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 9*z + 7. Let d be m(-9). Let b be ((-762)\/(-9))\/(d\/21). Suppose -p - b = -3*p. What are the prime factors of p?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.91 + 0.09. Let y(m) = 3*m + 15. Let h(v) = v**3 + 2*v**2 - 2*v - 3. Let o be h(-3). Let t be y(o). Put t, b, 0 in decreasing order.\nAnswer: b, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 30828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 0 + 7 + 7*p**2 + 1 + 0*p**2 - p. Let y = -8 - -21. Let o(j) = 13 + 3*j + 2 - 5*j + y*j**2. Calculate -11*l(d) + 6*o(d).\nAnswer: d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 7:58 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 4:10 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.81 in 2, -2\/15, 2775?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 + 160. Are n and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -455*m + 1803*m + 673*m.\nAnswer: 2021*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**3 + 5*s**3 - 129*s**2 + 124*s**2 - 7*s as t + a*s**2 + j*s + g*s**3 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*(sqrt(180)*1*-6 - (2 + sqrt(180) + -4)))**2.\nAnswer: -4200*sqrt(5) + 220599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s**2 - 3*s + 4. Let f(h) = -h. Let n(x) = d(x) - 3*f(x). Let c(w) = 27*w**2 - 15. Calculate 4*c(m) + 15*n(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*p + 69*p + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 75 + -43 - -9.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 203 - 197. Solve 0 = h*d - d + 15, -2*d - 14 = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h**2 - 73*h**3 + 0*h**2 - 11*h**2 to d*h**3 + p + k*h + u*h**2 and give d.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 804 and 0.969?\nAnswer: 779.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-48)\/(-20))\/((-3)\/(-10)). Suppose 6 = -0*u + 2*u. Suppose 0 = u*d - 2 - 4. Solve -d = -3*y - x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g**4 + 6*g**4 + 11*g**4)*(-2*g + 4 - 4) + (0*g**3 + 2*g**3 + g**3)*(-23*g**2 - g**2 + 3*g**2).\nAnswer: -77*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 102183228 divided by -7298802\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 7*r**2 + r + 32*r**2.\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*b = -2*b + 89, 4*b - 45 = -3*k. What is the fourth biggest value in -1\/2, 0, k, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.009 + -434.009. Let a = -720 - q. Let m = a - -290.64. What is m rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532487701 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 2708081?\nAnswer: 2708076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/5*(-230)\/12. Suppose -2*k - 45 = k. Let q = k + a. What is the smallest value in q, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -53 + 28 - 7*q + 25 + 8*q. Let r(x) = 4*x + 2. Let m be -7 + (6 - 3) + 10. Determine m*l(u) - r(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*k**3*p**2 + 9*k**3*p - 16*k**2*p wrt p.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68\/3 + -67\/3. Let j(i) be the first derivative of 4*i**2 + 16*i - 6 + l*i**3. Factor j(b).\nAnswer: (b + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66032.96 millilitres in litres?\nAnswer: 66.03296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5137549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/90 and -103\/450?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + j. Let u be k(-2). Let b(p) = p**3 - p**2 - 5*p + 2. Let n be b(3). Suppose -y - 2 = -n. Solve 5*l + 3*r + 0 = u, -y*l + 4*r = 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 234\/445 + -56\/445. What is the nearest to y in -2, -1\/18, -100, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + 0 + sqrt(112)) + 4.\nAnswer: 28 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 126700 + 47892. Let c = a - 362592. Round c to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 4:04 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, -0.5, -0.4, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185688 and 9896.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -19*z + 62. What is g(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 1. Suppose -7 = d + 2. Is 5 a factor of a(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53536 (base 8) to base 13\nAnswer: -a246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/14)\/(-10*(-45)\/(-420)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2 + 31*d + 16. Let f be b(10). Let k be 134\/f - (-58)\/(-377). Solve 0*z + 3*z + k*i - 25 = 0, -5*i = z - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3 + 13. Let z(a) = 9*a. Calculate the remainder when z(q) is divided by 16*-1*3\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1824\/7 and -262 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3983, -3980, -3977, -3974, -3971, -3968?\n\"Answer: 3*v - 3986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z**(-5)\/z))\/z*z**5*z**(-2\/5)\/(z**0\/z) assuming z is positive.\nAnswer: z**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + p - 96, -a - 2 = -p - 20. Let z(c) = -22*c + 1066. What is the remainder when z(47) is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 5151.\nAnswer: 51510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 16833*m + 16758*m - 33777*m as p*m + o and give p.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 9 = -3. Let q(j) = -3*j**3 + 2*j**2 + 4*j - 5. Let o be q(b). Let t = 2 - o. Solve -u + 5*c - 30 = 0, -2*u - 4*c = -5*c + t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 868, 1744, 2648, 3586, 4564?\nAnswer: 5588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -1596.28?\nAnswer: -1596.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-6)*i)*i**(1\/2))\/(i**(1\/2))**(-16))\/(i*i*i**(1\/3)*i*i**(-1)*(i*((i\/(i**2*i))\/i)\/i)\/(i*i\/i**(-2\/5))) assuming i is positive.\nAnswer: i**(527\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 37?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 + 17*b**2 - 6*b**2 - b**2.\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3416 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/2457 and 73\/86889348.\nAnswer: 86889348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + 0 + 0 + (-5286 - -5305).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, o: 2, m: 5}. What is prob of sequence ss?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-532779 + -2)\/(-2 - -3). Let q = -932781 - u. Round q to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6940 + 25266. Is n a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(3 + 0) + -228. Let m = j + 393. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1579537 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24642 divided by -6.\nAnswer: 4107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 6*k**2 + k + 7. Let z be n(-6). Let o(h) = 2*h**3 - h**2 + h. Let j be o(z). Solve -3*b + 8 = -4*c - 23, -j*b - c = -6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/524 and (246*8\/(-64))\/12.\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-13 - -4) - (-3 + 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 6.7547 and -69.\nAnswer: -62.2453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-32)\/(-40))\/(1\/40). Suppose 0 = -2*p - 4*s + 48 + x, 5*s = -2*p + 84. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v. Let u be f(-3). Let w be (u\/8 + -1)*6. Solve -w*l + 5 = -10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2253610.5000058 + 2253612. Let j = -1.5 + x. Round j to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2001 (base 5) to base 2\nAnswer: 11111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8826 greater than -8862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 5*h - 3*h)*((2*h + h - h)*((3 - 1 - 3)*(-1 + 2 - 3) + 3 + 2 - 1) + 10*h + 8 - 8) to r*h**2 + z*h + i and give r.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 6. Differentiate 3 - i*q**2 + 5*q**2 + 0 - 2 with respect to q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/4)\/15 - (-76)\/6. Suppose 9*u + 4*u - l = 0. Sort u, -2, -9.\nAnswer: -9, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 0*p. Suppose p*r = -2*r + 1100000. Round r to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 30710\nAnswer: -6142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-4)*72\/(-135). Suppose -y = -2*a - 6, 5*y + 8 = -3*a - 14. What is the biggest value in a, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24215, -96805, -217789, -387167, -604939, -871105?\n\"Answer: -24197*w**2 + w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -6*u + 7*u + 2697, 4*n - 5*u - 3585 = 0. Suppose -4*c + 6*a = 3*a - n, -c - a + 218 = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 2*s**7\/105 - 2*s**6\/15 - s**5\/15 + 2*s**4\/3 + 5*s**2. Factor k(t).\nAnswer: 4*t*(t - 4)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*p + 37*p = -17150. What are the prime factors of p?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 6*h**2 - 7*h - 37. Let s be z(-6). Suppose 0 = 3*m - 0*m + 4*a + 196, -s*a = 20. Let r be 8\/6 - (-5 + m\/(-18)). Solve 19 = -r*g + 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2850 and 500?\nAnswer: 28500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13.7, -0.174, 2, -5, 0.012, -1?\nAnswer: -13.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2970 divided by -33?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*b - 4*t, -b - t + 23 = -0*b. Let u = -10 + b. Suppose -5 = -p + 1. Calculate the greatest common factor of u and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 9:30 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 + 17*n + 3 + n**2 - 19*n + n**4 to the form z*n**2 + y*n + p*n**4 + k + v*n**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21768, 43464, 64994, 86274, 107220?\nAnswer: 127748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 4*d + 2*d**3)*(-2 + 5 - 1) + d**3 + d**3 - 4*d**3 + 31 - 31 + 9*d**3.\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*u**4 + 4*u**3 - 134687*u**2 + 57309602*u.\nAnswer: 60*u**2 + 24*u - 269374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 20*u - 66. Determine r(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 74 = -2*o, 0*o - j - 222 = -5*o. What is the highest common factor of o and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 5*d. Suppose 6*r = -d*r - 30. Let n(w) = w**2 + 7*w + 3. Determine n(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.6 and 5?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46 and 7.4?\nAnswer: -340.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 222\/(-185)*6\/(-9)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6167 and 8810?\nAnswer: 61670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -26.7 and -4.\nAnswer: -30.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -9. Let z = m - -24. Solve -1 + z = 5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**2 - 6*w - 8. What are the prime factors of o(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**5\/60 - 7*a**4\/24 + a**3\/6 + 3*a**2. Let g be 0*3*(-3)\/27 - -7. Determine y(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165, -209, -263, -333, -425, -545, -699, -893?\nAnswer: -1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/3, 0.2, 13\/9 in decreasing order.\nAnswer: 2, 13\/9, 0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-6))**(1\/18) assuming j is positive.\nAnswer: j**(-5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -6\/17, -0.042, 4.79 in increasing order.\nAnswer: -6\/17, -0.042, 4\/7, 4.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 6*n - 2. Let v be b(4). Suppose -785 - 1879 = -v*s. What are the prime factors of ((-3)\/12)\/((-3)\/s)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567176 is divided by 141791.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 19, 18, 15, 5, -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most -1\/690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**3 + 227*q + 138.\nAnswer: -6*q**2 + 227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/4*16*(-8)\/(-192). Suppose 0*s - 74 = -3*s - 5*m, s - 2*m = 43. Suppose q*g - s = 39. Is g a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -6 - 2. Let k be 1 - 3 - (-42)\/3. Let d = r + k. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**5\/5 - 2*j**3\/3 + j - 16. Let d(r) = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*f**6 - 18*f**6 - 4*f**2 - 14*f**2 wrt f?\nAnswer: -1080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162995 is divided by 72?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 356 and 340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 9 = -3. Let o(a) = -7*a**3 - 2*a**2 + 5*a + 6. Let u(d) = 15*d**3 + 4*d**2 - 11*d - 13. Give n*u(t) + 13*o(t).\nAnswer: -t**3 - 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 4*s**2 + 5*s. Let t(f) = -4347*f**3 + 1260*f**2 - 1575*f. What is -630*g(o) - 2*t(o)?\nAnswer: 8064*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11324 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 1:04 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 40 = 2*n. Let g = n + -9. Which is the nearest to -0.1? (a) 5 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49.02 - -49. Round v to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268 divided by 1.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6762aa + 4?\nAnswer: 6762b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-96))\/(5\/(-12))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v + v)*(-61*v**2 + 85*v**2 - 51*v**2) + (0*v**2 + 0*v**2 + 4*v**2)*(0*v + 5*v - 2*v).\nAnswer: 39*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*y**3 + 38*y**2 - 1 - 73*y**2 + 37*y**2 + 2*y to k*y**2 + l + o*y**3 + f*y and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110001 + -10101100001?\nAnswer: -10011110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -207 (base 9) to base 11.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 + 26*h**2 + 686*h - 32. What is f(-13)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 48 + 12 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1163441 + 1163441 - 880*l**2)*(l - 2*l + 3*l) to the form k*l + j*l**2 + f*l**3 + x and give f.\nAnswer: -1760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277918 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 3*m + 7. Let r be l(5). Let a(w) = w**2 + 3. What is the units digit of a(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -17. Let w(v) = 3*v. Let f be w(b). Suppose -56 + 11 = -f*g. Calculate the highest common factor of g and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 41*o**2. Let y(k) = -k. Give y(t(m)).\nAnswer: -41*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268 = 4*p + 272. Let y = -131 - p. Solve -4*z + y*g - 12 = 0, -z - 3*z = g + 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 303 divide 407340777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5077 + 323 = 116*w - 4087 + 787 for w.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 14444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) + sqrt(10)\/sqrt(5))**2 + sqrt(2) + 0)*-4 + 1)*-3*-2*6.\nAnswer: -1116 - 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/3, 15, -5, -2\/97 in increasing order.\nAnswer: -5, -1\/3, -2\/97, 0.2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v + 48 = 0. Let k = 4 - v. Suppose -2*l + k - 6 = 0, -35015 = -5*b - 3*l. What is b rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (104\/7722*-45)\/(4\/6)\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d - 33. Let v be w(22). Calculate the greatest common factor of v and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/357396 and 95\/147888.\nAnswer: 4288752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k + 4*z = 32, 2*z + 24 = 4*k. Let d(t) = t**2 - 7. What is the units digit of d(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 - 36*l + 60. Let j be x(10). Solve j = 5*y - r + 12, -7*r = -10*r + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 9, -3, 1, -18916, -1, -2 in decreasing order.\nAnswer: 17, 9, 1, -1, -2, -3, -18916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (97913\/716 - 194) + (-92)\/(-2)?\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**3 + 4*g**2 + 12*g - 923. Let y(l) = l**3 - l**2 - 2*l + 1. What is v(i) + 6*y(i)?\nAnswer: 2*i**3 - 2*i**2 - 917","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**(-21)\/c*c))**5\/(c**(-1\/5))**(4\/21) assuming c is positive.\nAnswer: c**(12079\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 3:25 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u - 4 + 4)*(-90*u + 16*u - 36*u) - 3*u + 2*u**2 + 3*u in the form g*u + k + d*u**2 and give d.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1343.\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-65)\/(-2) - (-2 - (-6)\/4). Let z = 4 - 1. Suppose f = 5*x + z. Calculate the greatest common factor of x and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -787, -1573, -2355, -3133?\nAnswer: -3907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m**(-12\/7)*m**(3\/8) assuming m is positive.\nAnswer: m**(37\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 9) to base 14\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234855 divided by 2763.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1630 + -1628. Solve -9 = p*h - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*u + 7*u - 8*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67561641?\nAnswer: 3, 7, 223, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7259 + 7259.000006099. Round g to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2461?\nAnswer: 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -27*q**4\/4 - 13*q**3\/3 + 37*q**2\/2 - 43*q + 5808. Find the second derivative of i(c) wrt c.\nAnswer: -162*c - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2*k)\/(k**5\/k))\/(k**(-1)*k*k*k**1) assuming k is positive.\nAnswer: k**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 8*s**2 - 8*s + 9. What is the remainder when o(5) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 1, 2, -1\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**5\/15 - 2368*l**4\/15 + 230276*l**3\/5 + 3515968*l**2\/15 - 138166*l\/3 - 234240 = 0.\nAnswer: -5, -1, 1, 549, 640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j + 4. Let a be c(0). Let s be (-2)\/(-12) - (-2)\/(-12). Suppose -p + 2*p - 8 = s. Solve -5*x - 2*b = 16, x - a*b = 5*x + p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 810 and 1944.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003584866 to seven dps.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -2\/3, 15, -2, -3, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9910, -14291, -26194, -49381, -87614, -144655, -224266, -330209?\nAnswer: -466246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o**3 - 5*o**2 - 8*o + 6. Let r(h) = -7*h**3 + 4*h**2 + 8*h - 5. Calculate 6*r(z) + 5*x(z).\nAnswer: -2*z**3 - z**2 + 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d - 20. Let p(h) = 1. Let v(q) = -n(q) + 2*p(q). Let i be v(13). Let r(o) = o**2 - 12. Let y be r(i). Solve -l + 10 = y*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 2:49 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o - o - o + (-2 + 2*o + 2)*(-1 - 1 + 0) + 0 + 2*o - 5 + 2 + (0 + 2 - 1)*(-4*o + 5*o + 0*o) - 4*o - 2 + 2.\nAnswer: -4*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382764 is divided by 1099?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -6. Let o(w) = -w**g - w + w. Let r(x) = 0*x**2 - 2*x**2 + x**2. What is r(o(v))?\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 4. Let o be f(-3). Suppose -5*u + 179 + o = 0. Suppose 21*r + 396 = 57*r. What is the lowest common multiple of u and r?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*s + 100*s - 262596 = 73*s. Solve 1083 = -5*y + s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 3*w - 323. What is the greatest common divisor of w and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - (3 - -1)) + -10. Let y(w) = -w**3 + 6*w**2 + 7*w + 2. Let n be y(7). Does 13 divide h\/n - 48\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/10 - 7431\/1260. Let v = -50\/21 - o. Find the common denominator of v and (1\/3)\/(32\/(-230)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 5*q - 17, 4*n + 50051*q = 50050*q - 13 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - ((4 + sqrt(475)*-2)**2 - sqrt(475))) + (sqrt(475) - (sqrt(475) + (1 + sqrt(475))**2*-2 + sqrt(475))).\nAnswer: -964 + 105*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/3012 + 1969\/117468. Suppose 3*x + 3*b - 13 = -10, 3*b - 5 = -5*x. Which is greater: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -10)*3 - -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 16 - 1 = -5*k, 2*q - 8 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1467156997 < -1467156998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.108 - -69.108. Let v = d + -69. Which is bigger: v or -2\/93?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**2 + 1384. Suppose 3*s - 8 = -2. Let f(h) = 2 - 7 + 5*h + s*h. What is n(f(o))?\nAnswer: 14*o - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 651623 (base 7) to base 11\nAnswer: 78303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*f - 3 + 1 + 7 - 7 to the form b + g*f and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -260913, -260915, -260917, -260919?\n\"Answer: -2*r - 260911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-4)\/(-36)*-2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in -4, -2, -5\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1008)\/180)\/((-2)\/5). Suppose 5*i + 1331 = 3*u, -u = -i + o - 459. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + i**2 + 5*i - 3. Determine n(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 8 = -5*w, 3*w - 4*g - 7 = 2. Let c(n) = -n**2 - 1. Let r(m) be the first derivative of -m**3\/3 - m**2\/2 - m + 37. What is w*c(t) + 2*r(t)?\nAnswer: -t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 201848768 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19236062, 38472120, 57708178, 76944236, 96180294?\n\"Answer: 19236058*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 446856064 divided by -111714016.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*u + 27 = -3*u, -z - 2 = u. Suppose 15 = 3*s - z. Let v = 201 + -192. What is the highest common divisor of v and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -131*z + 535. What is f(8)?\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) -4540447 (c) 4\/9 (d) 26 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.29042 rounded to one decimal place?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 39 - 7. What is the remainder when 43 is divided by (92\/m)\/((-1)\/4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**5 - 1070*t**4 - 55984*t**3 - 727680*t**2 - 672768*t = 0.\nAnswer: -24, -1, 0, 584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1644 * 6830.\nAnswer: 11228520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 175543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 2259994.\nAnswer: -2259995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (2 + sqrt(5) - sqrt(5)))*-6*5.\nAnswer: -30*sqrt(5) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -51. Let q(z) be the second derivative of 0*z**4 - 2*z + g + z**2 - 3\/20*z**5 + 0*z**3. What is the derivative of q(u) wrt u?\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u. Let m(d) = d**2 + 11*d + 4. Let x be m(-11). Suppose -x*n = -7*n + 3. Let t(o) = -1 + 2*o + n. Determine p(t(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 13. Solve -6*x - 2 = -4*x + 5*q, 5*x + 5 = -z*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -476*f - 5. Suppose 0 = w - 23 + 28. Let r be l(w). Suppose -2*m + r = -2843. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c**4\/7 - 8*c**3 - 1014*c**2\/7 + 6992*c\/7 + 7942\/7 = 0 for c.\nAnswer: -11, -1, 19\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11827\/35 + 2301\/5. Let m = g - 122. Sort m, 3\/10, -1\/2, -4 in ascending order.\nAnswer: -4, -1\/2, m, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**2 - 6*s + 3 + 4*s**2 + 2*s**2. Calculate i(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -3.789?\nAnswer: -11.367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 + -87. Suppose 5*r + 1000 = -g*p + 4217, -5*r + p + 3201 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1101101001?\nAnswer: -1101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**3 + 12*c**2 + 178*c + 3532. Calculate p(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -3. Factor -3*i - 3*i**2 + 3 - m.\nAnswer: -3*i*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2, -1, -0.3, 29 in decreasing order.\nAnswer: 29, -0.2, -0.3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/7 - (1 + -31). Solve -5*m + 9 = c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsdejsw. What is prob of picking 1 w and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1799891, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*y - 2*y**2 - 56*y - 48*y.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**3*m**2 + 18984*h**3 - 5724*h*m + 2*m**3 + 5 wrt m.\nAnswer: 4*h**3*m - 5724*h + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 13*a**2 + 11*a - 23. Calculate o(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96 or -94?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -420 + 210. Let n be 2\/(-10) - 12\/x. What is the second smallest value in n, -4, 4\/5, -16\/5?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 42620 = 4*l, -l + 5305 = -5*t - 5368. What is the thousands digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.133, 0.4, -2\/3 in increasing order.\nAnswer: -2\/3, -0.133, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -657198, -657202, -657206?\n\"Answer: -4*g - 657194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2074*f - 2089*f + 6243*f - 185*f**3 - 2080*f - 1389*f**3.\nAnswer: -1574*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 4. Let q be (-4)\/(-14) - 6\/21. Suppose -k - v*k - 20 = q. Sort 5, k, -2\/5 in decreasing order.\nAnswer: 5, -2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 90 - -2?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**5 - 1165*n**4*y**2 + 1090*n*y**2 + y**2 wrt n.\nAnswer: 80*n**3 - 13980*n**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-446)\/(-4) - (-1)\/2. Suppose -5*r = 3*j + x, -4*j + 84 = -3*r - 2*r. Let l be (-2)\/(-5) + (-52)\/r. Solve -9 + 21 = l*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 42, -160629, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*t - 262*t = -6, 143933 = 5*v - 3*t. Calculate the smallest common multiple of 5 and v.\nAnswer: 143915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4157*h - 75660 = -3377*h for h.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, -565, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l**3 - l**2. Let g(s) = 4*s - 24. Let a be g(6). Suppose -3*v - 4*f = -a*v - 1, 5*f = 4*v + 9. Determine d(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 558 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186542965800 + 10*r**2 + 186542965800.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2628497144 to the power of 1\/2, to the nearest integer?\nAnswer: 51269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1119603264 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6874500 to the nearest one hundred thousand.\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -58*y - 116. Give h(-5).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 14.6. Let o = l + -1.6. Put 0, -2, o in increasing order.\nAnswer: o, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 5\/((-20)\/(-16)). Let g be (47*-2)\/(-8 + r). Suppose -10 = -2*i, -5*i = -o + 3*o - g. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -9*x**2 - 6*x - 6. Let l(q) = -26*q**2 - 17*q - 17. Calculate 17*a(g) - 6*l(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(2\/7) + -23 + 4. Let r(v) = -v**3 - 11*v**2 + 9*v - 5. What is r(g)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57.405 + -0.005. Round j to the nearest integer.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 greater than -16708\/581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 1. Let y(d) = 5*d**2 + 7. What is -28*v(u) - 4*y(u)?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klogooklooke. Give prob of picking 3 k and 1 g.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 - 2*r + 129. Determine s(9).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-244.\nAnswer: 73.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1761, 3469, 5201, 6957, 8737, 10541, 12369?\n\"Answer: 12*z**2 + 1672*z + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2451609665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izw when three letters picked without replacement from {i: 9, z: 5, w: 2}?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -9*d - 195. Let q be p(0). Let h be (q\/105 + 1\/(-7))*-700000. Round h to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0095417836 rounded to 4 decimal places?\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 5*w. Let n(j) be the third derivative of j**5\/60 + j**4\/24 - 5*j**2. Let l(a) = -6*n(a) + y(a). Find the second derivative of l(f) wrt f.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 3 + 11. Sort l, -3, 4 in descending order.\nAnswer: 4, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**3 - 6*y**2 + 17*y. Let s be h(-4). Let b = s - -13. Solve 2*m - b = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m - 2. Let b be z(-2). Suppose -b*r + 4 = -r. Solve -5*w + 4*c - 8 = -0, 3*w - r = -2*c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(k*k**(-3\/5)\/k))*k**(-26)*k)\/(k**(-8))**(-1\/20) assuming k is positive.\nAnswer: k**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, x: 3}. What is prob of picking 2 x and 1 p?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2. Let s(m) = m + 1. Let w(i) = 2*i + 7. Let c(b) = 6*s(b) + w(b). Let f(y) = 4*y + 6. Let g(p) = -6*c(p) + 13*f(p). Give d(g(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/24 + (-1)\/(-4))*(-1194)\/199.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-5 + -1) - (-6)\/14. Does g = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13211505 and 4455?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by -4.\nAnswer: 53\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1608*j + 1671 - 117447 = 0 for j.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1159389107 to the nearest integer?\nAnswer: 34050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrk when three letters picked without replacement from vkxrrrrkvvv?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8626 is divided by 479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*v**4 - 1)*(-3 - 4 + 5) - 2*v**4 + 2*v - 2*v - 2 + v**4 + 2.\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14547.\nAnswer: 3, 13, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 86341 - 4217863.\nAnswer: -4131522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**4\/12 - t. Let b(z) = 3*z**2 - 5*z. Let i(y) = -y**2 + 2*y. Let d(g) = -2*b(g) - 5*i(g). What is d(q(p))?\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 252 (b) -13 (c) -4\/13 (d) 2 (e) -4\/7 (f) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16*2*(-3)\/(24\/(-8)). Solve -6*i = 2*i + q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.493 - 0.493. Let q = -0.1 + 2.1. What is the closest to q in k, -1\/6, -0.03?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87683 (base 9) in base 16?\nAnswer: -e328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, d: 7}. Give prob of picking 3 d and 1 k.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -10*d**2 + d + 1. Let a be c(2). Let f = -17 - a. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.64 and 302.075.\nAnswer: 193.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 0*g. Let q be (625\/(-100))\/((-5)\/4). Solve g*d - 25 = q*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10348 take away 808?\nAnswer: -11156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -10*l**2 + l. Let v be a(1). Let q = v - -5. Let r be (-2)\/(q\/(-8) - 1). Solve 2*c - 3*u = -6*u + 11, 0 = 4*c - r*u - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxx when three letters picked without replacement from uxrrrwrkxxku.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.63 (b) 2 (c) -5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.04 rounded to zero decimal places?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 5\/2, 0.4 in ascending order.\nAnswer: 0.4, 5\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-9 + 18 + -5 - -11) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*c + 1647, -s + 2*c - 3*c = -542. What are the prime factors of s?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*j + 2*x, -4*j - 2*x - 14 + 22 = 0. Let w be 3*(-2)\/j*(0 - -2). What is the closest to 0.2 in -0.1, -0.5, w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(v - 3 + 3) + 4*v - v - 5*v + 111*v - 74*v - 387*v + 3*v + 2*v - 4*v + (v + 4*v - 3*v)*(-3 + 0 + 2) - 2*v + 0 + 0.\nAnswer: -356*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1758 + -1699. Calculate the remainder when 168 is divided by m.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.67 - -25.9. Let i = -1.93 + g. Which is the smallest value? (a) i (b) -2.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74773452.\nAnswer: 2, 3, 13, 479317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 i when three letters picked without replacement from {d: 1, i: 4, z: 2, t: 6}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 19 = -67. Let b = -8 - z. Suppose 2*s - 6 = -b. Solve -s = 3*x - 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590 is divided by 152?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1584 divided by 48?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**4\/12 - b**3\/3 - b**2. Let m(p) = 3 - 5 - 2*p + 0. Let j = -8 + 4. Give j*w(v) + 3*m(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-439 - 297 - 112)*(2*o**2 - 2*o + 2*o) to s*o + c*o**2 + h and give c.\nAnswer: -1696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 272 = 11*b. Suppose -16*k + 20*k = b. Solve -2*c + 4*j = c + 2, c + k = 3*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.012 - -8.212. Let b = -11.2 - c. Let m = b - -11. Is 0 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/3 (b) -0.2 (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*i + 2, -3*i - 2*w = -7*i - 16. Let o(p) = 2*p**2 + 1 - 9*p**2 - 9*p + 2*p. Let k(j) = 3*j**2 + 3*j. What is i*o(h) - 5*k(h)?\nAnswer: -h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c. Let p(h) = 7542*h + 2. Calculate n(p(o)).\nAnswer: -15084*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 3*d + d)*(-7*d**2 + 16 - 16) - 2 - 2*d**3 + 2 + (-2*d + 2*d - 2*d)*(0*d + 0*d + 2*d**2) - 4*d**3 + 3*d**3 + 6*d**3.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 22*i - 36. What is s(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -219 + 97*m - 219 - 197 + 647 to the form v*m + y and give v.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 11:04 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13467864 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + 2)*(-1 - -2). Let g = 6 - f. What is the second smallest value in g, -5, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, z: 3, g: 3}. What is prob of picking 1 z and 3 g?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*l - 36, -4*y + l = -y - 15. Let r(o) = -o + 9. Let c be r(y). Let z(s) be the second derivative of s**4\/6 - 5*s**3\/6 + 2*s**2 - 4*s. Give z(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -472 or -506?\nAnswer: -506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 32*w**2 - 8*w - 59. Does 6 divide z(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -150750808093 and -605.\nAnswer: -150750808698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3 = 0, 16*h = 13*h - 4*w + 15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 r, and 1 q when three letters picked without replacement from uzzrzuiirrzq.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(((-3)\/(-8))\/1). Let f = -27 + 19. Let d = f - -96. What is the greatest common factor of d and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 6*i. Let o be u(6). Suppose -4*x + w + 0*w = -111, -3*x - 5*w + 66 = o. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2409.0010732 - 2409. What is q rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -406\/5 + 4987\/60. Let x be ((-1 - 1) + (-10)\/(-4))*2. Find the common denominator of x\/(-6)*-2 + 568\/240 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-189)\/(-3) + 1\/1. Let d be 218\/8 + (-16)\/p. What is the tens digit of -2 + (d - 0) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w + 68 - 10 = 0. Solve w*f - i - 1 = 6, 3*f - i - 12 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y - 22. Let d be q(8). Suppose -11*l + 3 = -d*l. Calculate the lowest common multiple of 9 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -21*s**4\/8 + 311523*s**3\/8 + 122409*s**2\/2 - 178017*s\/2 - 111270 = 0?\nAnswer: -2, -1, 10\/7, 14836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(((-15)\/20)\/((-2)\/4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g**2 + 16*g - 62. Suppose -5*q + 26*j - 5 = 30*j, 0 = -q - 2*j - 7. Let h be x(q). Solve 2*n + h = 35 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1865, -3711, -5557, -7403, -9249?\nAnswer: -11095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202293774?\nAnswer: 2, 3, 227, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -71, -139, 8 in decreasing order.\nAnswer: 8, 3, 0, -71, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 172*x + 55. Let a(l) = 87*l + 29. Let u(y) = 5*a(y) - 2*b(y). What are the prime factors of u(6)?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 - 0.44. Let y = 0.01 + w. Which is the second smallest value? (a) 0.1 (b) -5 (c) 5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3, -32.4, 0.05, -64?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -633 (base 7) to base 9.\nAnswer: -383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 46 = 3*p, 0*p + 5*p + 80 = -5*y. Let z be ((-3)\/(-2))\/(p\/(-50)). Let i(t) = -t**3 + 5*t**2 + 4*t + 5. Is i(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*q - 8, 24 = 4*w + 4*q. Suppose 82 - 10 = w*t. What is the first derivative of 2 + 3 + t*b + 0 wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + 1585*x - 11185. Calculate w(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (159\/(-212))\/(38*(-6)\/(-64)).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -12. Let 4 - 2*j**3 + 9*j**4 - 3*j**2 + 7*j - 3*j - 8*j**u = 0. Calculate j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1610\/5*108\/147. Let w = -236 + d. What is the smallest value in 6, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 8*p**2 + 8*p + 5. Let f be n(-7). Suppose -5*s - 10 = 0, -2*s + 0 = -l - 1. Sort l, f, 14.\nAnswer: l, f, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 95229.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/18*(78*(-94)\/(-20774))\/(2\/(-34))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -12. Let w = s - 2. Let n = 6 + w. Which is the third smallest value? (a) -0.1 (b) n (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 456 + 427. Suppose -175 = 4*a - t. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*f = -3918 - 645. Calculate the remainder when 398\/6 - 4\/(-6) is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q. Let t(b) = 5*b - 1309. What is t(d(m))?\nAnswer: -15*m - 1309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555483853?\nAnswer: 555483853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 19. Let a(k) = 20*k + 5. Let p be a(x). Suppose -p = -q + 106. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*s = -73, 0 = 2*c - 0*c - 3*s - 79. Let i(b) = -b**2 + b. Let a be i(6). Let x = 45 + a. What is the remainder when c is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -753041\/18060 + 4228\/129. Let a = 35\/4 + n. Is a less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*u - u = -8, -2*u = -y + 10. Differentiate 7*c**2 - 10*c**2 + 2 + y with respect to c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1170 and 102820.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58.8 + -57. What is i rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*v**3\/4 - 21*v**2\/4 + 6*v + 3.\nAnswer: -3*(v - 1)*(v + 2)*(5*v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2*z - 4*q - 16 = 0, 3 = -2*z + 5*q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -64722 times 55?\nAnswer: -3559710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4057780 > -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(l + 3*l - 2*l)*(-2 - 19 - 5).\nAnswer: -104*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**6\/30 + 14*m**3\/3 + 20*m**2. What is the derivative of z(r) wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 225597.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 + 2. Let c(k) = -k**2. Suppose 0 = -22*l + 26*l - 4. Calculate l*w(n) - c(n).\nAnswer: -n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from {z: 1, m: 2, e: 1, p: 3, x: 3, d: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 8 = 5*r. Let c(y) = 2*y**2 + 86*y - 90. Let o be c(-44). Put o, r, -1 in descending order.\nAnswer: r, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12084*c - 183775 + 120924 = -165312 - 562159 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 times 0.4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6.876 + 5.1\nAnswer: 11.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2018*g - 2014*g - 4*n - 176 = 0, 3*g - 133 = 4*n for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 2 - ((6 - -7) + -16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njn when three letters picked without replacement from njjjjn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-1 - (3 + -2)). Suppose 2*w = 3*a + 4*w - 38, 2*a + 5*w - 40 = p. Suppose -a = -5*c + 5. Solve 0*u - c = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/2400 and -121\/20250.\nAnswer: 324000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4098404?\nAnswer: 2, 71, 14431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 24 = -3*c, c - 5*s = -2 - 6. Let v = 12 + c. Let g = 89 - 84. Sort g, v, 1 in descending order.\nAnswer: g, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Let t = 0 + 2. Suppose 4*q + 5*b = -4, b + 4 - t = -2*q. Which is smaller: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 6:08 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 19*s - 570. Let z be f(30). Let x(a) be the second derivative of -1\/165*a**6 + 4\/33*a**3 + 0*a**2 + 9*a + z + 1\/22*a**5 - 4\/33*a**4. Factor x(u).\nAnswer: -2*u*(u - 2)**2*(u - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 6*d + 84. Let g = d - -202. Does 58 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*w - 137 - 87*w + 178*w - 123 + 260.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006045 to 6 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2319?\nAnswer: 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 106?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = 2*x. Factor 10*q**4 + 14*q - x*q**3 - 6*q**2 - 10*q - 4*q**2.\nAnswer: 2*q*(q - 1)*(q + 1)*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11200022 (base 3) in base 12?\nAnswer: -1b82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (729 + 233 + 344)*(-3 + 3 - m)*(-1 + m**3 + 1) as q*m**2 + o + i*m**3 + z*m**4 + t*m and give z.\nAnswer: -1306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 56.59868 grams?\nAnswer: 0.00005659868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, x: 1, m: 9}. What is prob of sequence xmg?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -3.86855?\nAnswer: 0.154742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/600431?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**3 - i**2 - 2. Let p(u) = -6*u**3 + u**2 + 2. Let x(a) = a**3 - 4*a**2 - 46*a + 6. Let b be x(9). Determine b*p(r) - 4*f(r).\nAnswer: -2*r**3 + r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*w + 3 = -123 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -92?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.8 - 6. Let i = -981439.73 + 981441.52999993. Let x = i - q. What is x rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 93, -1, 8, 0 in descending order.\nAnswer: 93, 8, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/8596 and -33\/3227.\nAnswer: 3962756","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**4\/4 + 2*q**3 + 7*q**2\/2 - 2*q + 35. Give g(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.311926 millilitres to litres.\nAnswer: 0.002311926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhh when three letters picked without replacement from thttthyhtttdyyhdt.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -276, -263, -232, -177, -92, 29, 192, 403?\n\"Answer: j**3 + 3*j**2 - 3*j - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 11*i**3 - 4*i**2 + i - 5. What is the remainder when 1379 is divided by u(2)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 384*k**2 + 11481*k + 35818. Give s(351).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 209 + 18*(-9)\/(-27). Suppose -56*p = -65 - b. Solve 1 = 2*a + p*z + 10, -z = 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 5*p**2. Let b be (-1)\/(-1 + (-6)\/(-5)). Let d be j(b). Solve d = -5*v - 3 + 13 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 7*g - 3 - 2 - 6*g. Determine c(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2997*b**5 - 995*b**2?\nAnswer: 179820*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t**2. Let c be l(-1). Suppose -2*b + 22 = 3*s, 0 = -0*s + 5*s + 3*b - 36. Let u be s\/10*(-10)\/c. What is the second smallest value in 0, u, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -2687343058.\nAnswer: 2687343054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733 is divided by 705?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f. Let r = -115 - -117. Let a(i) = -48*i**2 - 31*i**r + 45*i**2. Give a(c(l)).\nAnswer: -34*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2)\/i)**(4\/29)*i\/(i**(-1\/3)\/i)*i**6\/i assuming i is positive.\nAnswer: i**(632\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13132111 - 3?\nAnswer: 13132102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 + -1287562?\nAnswer: -1287239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - -12 - (-1 - (-1 + -1)). Suppose 0 = -27*u + o*u + 2331. Is 28 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, -2526, -6\/17, 4, -4, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 49, 16 + 72 = 4*m - 4*k. What is the highest common divisor of 2813 and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 9*s - 345. Calculate m(38).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/11)*k)\/k*k*k)**41\/((k*k**(-2\/17)\/k*k)\/(k*k**(-28)*k)) assuming k is positive.\nAnswer: k**(11004\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14618066 + 781824.\nAnswer: -13836242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 3*f - 10. Let k be y(5). Suppose k = l + l - 18. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 85, 4, -151, -404, -779, -1300, -1991?\nAnswer: -2876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*l - 7, 3*l - 2 = -4*t + 4*l. Let s be 84\/(t + -3)*56\/(-196). Is 14 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 9, -5*j = -4*j + i - 12. Let f(p) = 6*p**2 - j*p - 6 - 5*p**2 + p**3 + 9*p. Calculate f(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5646112 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**5 - 3*l**5 - 2*l**5 + (-5 + 3 + 0)*(-2*l**5 - l**2 + l**2) - 5*l**4 + 5*l**4 - 3*l**5 + 0 + 2*l**5 + 0 + 4*l**2 - 10741*l**5 + 10748*l**5 + 8*l**2.\nAnswer: 8*l**5 + 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*t**4 - 6*t**4 + 13*t**4 + (-27*t**2 + 28*t**2 + 59*t + 2*t)*(-1 + 0 + 0)*(4*t**2 - t**2 - t**2).\nAnswer: -5*t**4 - 122*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 5*i - 4. Let g(p) = -p**2 + 6*p + 4. Let d be g(7). Let t(v) = -v**3 - 4*v**2 - 2*v - 3. Let w be t(d). What are the prime factors of x(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**6\/80 - f**5\/4 - 23*f**4\/16 - 3*f**3 - 2*f**2 + 307. Suppose b(v) = 0. Calculate v.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -89*x. Let l(v) = -3*v. What is l(r(d))?\nAnswer: 267*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**3 - 19*y**2 + 10950*y - 32750. Give i(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**4 - 4*d**3\/3 + 2*d**2 + 4*d + 14. Factor c(j).\nAnswer: -4*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/371, -7, 4, 1?\nAnswer: 2\/371","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9550773?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 534 + -56. Let p = z + -339. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3917239 millilitres?\nAnswer: 0.0003917239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, 438, 4, 15\/7?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*k = 2690 + 3836 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -7. Let j = 4 - f. Let m = -1 + j. What is the nearest to -0.1 in m, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/1*(-50)\/750. What is the third smallest value in u, -970, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13214 - -60519. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + (-1*-1*sqrt(190) - sqrt(190) - sqrt(190)))\/(2*sqrt(810)) - (-3 + (sqrt(2299) + 0)*-2)**2.\nAnswer: -9205 - 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2810674*-37\nAnswer: 10.3994938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3110.805 and 4.\nAnswer: 12443.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 * -0.1926372.\nAnswer: 0.034674696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -4. Let b = -12 - -19. Let o = b - -2. Calculate the remainder when o is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 654 - 347. Let d = k + -1472. What is the common denominator of 1\/4 - d\/(-180) and 6\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 21670623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*o**2 - 2860525*o + 4441979?\nAnswer: -4*o - 2860525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5012*r - 24. Let i(q) = 5008*q + 20. Give 5*d(o) + 6*i(o).\nAnswer: 4988*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, -3, 3, 1 in ascending order.\nAnswer: -3, 0, 1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = 4*f - 3*p - 486, 0 = 2*p - 10. Differentiate f*d**3 + 213 + 102*d**3 - 1680*d + 1680*d with respect to d.\nAnswer: 552*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*c - 36. Let f = c - 14. Suppose s + 72401 = 4*k + 2*s, -3*k + f*s + 54296 = 0. Round k to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300908790 divided by 7215?\nAnswer: -41706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 90, 142, 198?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 45 = -5*k - 4*s, 2*k = 3*s + 41. Calculate the highest common factor of 299 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*q + 3*f + 14, -5*q + 4*f = -8. Suppose 2*h + 2*h - 14 = 3*v, 16 = q*h - 2*v. List the prime factors of (-2)\/h + (-57)\/(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2 - 7*j + j**2 + 2*j + 3. Suppose 0 = 2*m - 5*r - 5, r = -349 + 350. Let i(a) = -2*a + 2. Determine m*i(g) - 2*t(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 10 = 5*y, 9*u = 4*y + 5*u + 24 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2316 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63736051 (base 8) in base 5?\nAnswer: 11441122441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from {a: 1, j: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138685*r - 69339*r + 0*r**2 - 69346*r - 2*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(80) + sqrt(80) + (sqrt(80) - (sqrt(80) - (3 + sqrt(80) + sqrt(80)))))**2 + 3) - (-1*sqrt(180) + 4 + -2)**2)*1.\nAnswer: 408*sqrt(5) + 4984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -11*h + 38. Let f(c) = 7*c - 25. Let b(w) = -8*f(w) - 5*n(w). Let x be b(9). What is the highest common factor of 7 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 3:59 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -80466 and -0.3?\nAnswer: 80465.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 182320 * -64.41\nAnswer: -11743231.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (121\/(-11) - -12)*0. Solve 7*q - 112 + 154 = r for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1058*y + 947*y - 2197*y + 1920 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3690 is divided by 1224?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from {y: 1, b: 2, e: 1, c: 2, z: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o**3 + 2*o**2 - 5*o - 3. Let l(t) be the third derivative of 3*t**6\/40 - t**5\/15 + 3*t**4\/8 + 5*t**3\/6 - 37*t**2. Calculate 3*l(c) + 5*u(c).\nAnswer: 2*c**3 - 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*l + 3*f = -17, 5*l - 104 = -4*f. Suppose l = 12*w - 4. Suppose 5*h - 1659 = w*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -326 or -320?\nAnswer: -326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2132632 (base 7) to base 3.\nAnswer: 111020002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25403243 and 1124.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 20912357.2 to the nearest 1000.\nAnswer: 20912000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 63990?\nAnswer: -63989.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4191 smaller than 3977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**5\/30 + w**4\/12 - w**3\/6 - 10*w**2. Let q be i(1). Suppose 0 = -4*m + 19 - 3. Solve m*z - 1 = q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -10*x**3 - 5*x**2 + 2*x - 1. Suppose -c - 2 = 4*p + 4, p = 5*c - 12. Let v be d(c). Are -97 and v non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 57 (b) -13\/15 (c) 3 (d) 0.5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -7. Suppose -18 = 3*s + 21. Let p be s\/q + 2 + 0. Which is the biggest value? (a) -0.1 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1900)\/(-3800)*8\/(-78)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254033 is divided by 81?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*j + 18, -5 = o - j + 3. Let p be 296\/(-74) + (-13)\/o. Which is smaller: p or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*t - 17 = -3, -8 = 4*t. Let v be (-2)\/(j - -2 - -6). Suppose 2*q + 2*s - 10 = 0, -4*s + 8 = 2*q - 4*q. Put -3, v, 1, q in ascending order.\nAnswer: -3, v, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -3.383318.\nAnswer: -3.183318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2392.65*1776\nAnswer: 4249346.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1947237um to millimeters.\nAnswer: 0.0001947237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2369758 divided by 7547?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) 0.5 (c) 594\/13 (d) 113\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 2:17 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1407 - 1222. Solve 0 = -8*o + w - 177 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w - 8. Suppose 0*i = 2*q + 3*i - w, -2*q = 5*i - 4. Let a = 11 - q. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (117 + 2)*(270\/42 + -6). Solve 4*d + 39 = r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/76 and -37\/16?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**5\/20 + 11*j**4\/36 + j**3\/3 + 9*j. Factor u(z).\nAnswer: z*(z + 3)*(3*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -621*p**3 + 2*p + 1. Let r be f(-1). Suppose -4*l + 212 = -352. Let g = r - l. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4*c + 7544, 1937 = 2*f - 3*c - 1834. Suppose 2*r - 1742 = -3*k, -125 = 2*r - 2*k - f. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fpff.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8091, -16197, -24301, -32403, -40503, -48601?\n\"Answer: t**2 - 8109*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/(-5))\/2)\/((-171)\/(-18)) - 30528\/(-1216).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/2804300 and -37\/1261935.\nAnswer: 25238700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*q + 8*q - 11 - 13*q - 2*q**3 + 11 - q**2 in the form g*q**3 + n*q**2 + x + w*q and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115202 + -5?\nAnswer: -115211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.1 - -9.28. Let n = q + -2.1. Let v = 0.19 - n. Which is smaller: 2\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(28)*-2)*-2)**2 + (0 + sqrt(80) - ((sqrt(5) + sqrt(15)\/sqrt(3))**2 + -3))*3.\nAnswer: -199\/4 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfffojsissojjjo. What is prob of sequence fjj?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/70*7*(210\/147)\/((-9)\/273).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2 = -f + 14, -3 = -5*k + 4*f. Solve 0*q + q + k*v + 3 = 0, 2*q + v + 6 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-143)\/(-819)*-3.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = 10*n - 81. Let m be n + 25\/(150\/36). Which is the smallest value? (a) 0.02 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 228.4?\nAnswer: 228.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 45*y. Let q(x) = 2*x**2 + 70*x. Determine l(q(u)).\nAnswer: 90*u**2 + 3150*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222 + -1022?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 3422?\nAnswer: -3422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -89?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -14. What is the first derivative of -l*g + 3*g + 2 + 6*g - 4*g wrt g?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.92127025 rounded to three dps?\nAnswer: 44.921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 - 17. Suppose -37*p + 322 = 13*p + 22. Let z(l) = 2*l**3 + 17. Calculate p*z(o) + 5*t(o).\nAnswer: 2*o**3 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/4 (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/10 + (-189)\/595 - (-3289)\/(-221). Let v(o) = 2*o + 57. Give v(h).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 100*(6\/(-28))\/(282\/329). Which is the nearest to g? (a) -8 (b) -3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x - 5. Let i(f) = -3*f + 2. Calculate 3*h(g) + 7*i(g).\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/6 - 1054118*c\/3 - 7027520.\nAnswer: (c - 2108256)*(c + 20)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1377 and 95\/828.\nAnswer: 126684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 138879889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 762 + -521. Suppose -x = 7*a - 1074. What is the highest common factor of 17 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408 + d**2 - 2*d**2 - 2*d**3 + 3*d**3 + 4*d**2.\nAnswer: d**3 + 3*d**2 - 408","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 38*j**2. Let i(l) = 2*l**2 + 114 + l - 59 - 54. Let q(o) = 10*o**2 + 6*o + 6. Let m(g) = -12*i(g) + 2*q(g). Give m(k(w)).\nAnswer: -5776*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + 2 - 2*(-9)\/3. Suppose 0 = z*r - 4*l - 58 - 350, 192 = r + 4*l. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 6*o**2 - 8*o - 4. Let d be m(-7). Let q = -39 + 41. Is q at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -17*n + 15*n - 106, -103 = -4*q + 3*n. Suppose 25 = 5*m + 3*f - 80, m = -2*f + q. Solve b - 10*b = m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -827 - -830. Suppose -4 = n*q - l, 4*l + 15 + 5 = 0. Let a be 1\/(-1) - 0 - -2. Sort q, 0, a.\nAnswer: q, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26.6 + -29.6. Which is the closest to -0.1? (a) w (b) 0.3 (c) 2 (d) 1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(11) - (sqrt(11) + sqrt(110)\/sqrt(160))).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8307113 (base 9) in base 15?\nAnswer: 5c8b16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -64.897, 0.3, 4.6, 0.5 in ascending order.\nAnswer: -64.897, -4, 0.3, 0.5, 4.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*k + 50252 - 12949 = 159*k for k.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (40 + -61)*(-1)\/2 and -77\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5748687 is divided by 699.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**10\/604800 - h**8\/26880 + h**7\/10080 + 7*h**5\/4 - 174*h**2. Let t(f) be the third derivative of m(f). Factor t(i).\nAnswer: i*(i - 1)**2*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + 25*l + 544. Give r(-23).\nAnswer: 1027","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2528383 to the power of 1\/2, to the nearest integer?\nAnswer: 1590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.8 (b) -1 (c) 1\/3 (d) 9.2 (e) 5 (f) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 > 0.09482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15405\/(-55458))\/(((-5)\/(-4))\/((-9)\/(-12)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 304763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 167416070 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -262*i**3*o**2 - 11*i**3 - i**2 - 70*i*o**3 + 526*i wrt o.\nAnswer: -524*i**3*o - 210*i*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 9*u**2 - 1038*u + 76. What is g(37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + 12*j - 827. What is o(19)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.3, 18, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (12 - 6 - (2 + 12))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 809 - 1256. Let z = -446.999811 - p. What is z rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111a63 (base 12) in base 5?\nAnswer: 32212221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 12:41 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 316045.3 grams in milligrams?\nAnswer: 316045300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13\/780527 + 42368566393\/13268959. Let v = 3192 - t. Which is bigger: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110\/77)\/10*-1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3 - 11. Let c(f) = -2*f - 12. Let w be c(i). Sort 5, w, 0.\nAnswer: 0, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f*f\/(f\/f**(-9)*f)*f))\/f*(f**(1\/12)\/f)\/f*f*(f**(1\/3)*f)**(-26))**(12\/7) assuming f is positive.\nAnswer: f**(-355\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 4*h + 1054, 3*x - 1569 = 11*h - 14*h. What are the prime factors of x?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 7*g**2 + 2*g - 2. Let h(x) = -3*x**2 - x + 1. Suppose -23 = -l + 41. Suppose 6*n - l + 10 = 0. Determine n*h(k) + 4*c(k).\nAnswer: k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*n)*(-5*n + 7*n + 5*n) - 3*n**2 + 6*n**2 - 2*n**2.\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 2 - -1)\/((-90)\/(-36))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 46936036609.\nAnswer: 46936036609.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/56 and 21\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*k = 0, -k = -2*r - 0*k - 35. Let g = 18 + r. Let q = g + 5. Sort q, -1, 0 in descending order.\nAnswer: q, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*s - 10234 = 1632*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/1254 + -14108\/627. Suppose -5*x + 4*c - 90 = 9*c, -2*x - 24 = 5*c. Let f = l - x. Which is smaller: f or -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/171 and 50\/19?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 2\/7 (b) -0.042 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 28670336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*1*5\/(-2). Let m be ((-4)\/f)\/((-6)\/15). Let r(t) = -m + 2 - 3*t. Let h(n) = 2*n**2. What is r(h(g))?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9312 + 14300?\nAnswer: 4988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/36 and -41\/528.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20 - (1 + (-12)\/4). Let j = x - 10. What is the derivative of 3*n**2 + 12*n**2 - j + 3*n**2 - 9*n**2 wrt n?\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2970 - -2933) + 32 + 3 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37083364, 74166724, 111250084, 148333444?\n\"Answer: 37083360*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**4 - 16541*j**3 - 117870*j?\nAnswer: 12*j**2 - 99246*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5010 and 8280?\nAnswer: 1382760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33973 or 33971?\nAnswer: 33973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104 - -727\/7. Let v = -60 - -121\/2. Which is the nearest to v? (a) -3\/4 (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/3, -8, 2, -30, -2\/5?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35359 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 172986, 345996, 519006?\n\"Answer: 173010*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28031087 is divided by 3503870?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(4\/3)))**(-43)\/((a*a**(-17\/3))\/(a*a**(-20)\/a*a)) assuming a is positive.\nAnswer: a**(-215\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9*d**3 - 4*d + 4. Let x(t) = 17*t**3 - 7*t + 7. Suppose -43 - 41 = -12*n. Determine n*c(k) - 4*x(k).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g**2 - 42190 + 4*g + 42190 - 29*g**2 - 4*g.\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 27 - 10) + -14 - 27.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**2 + 0*i + 0 + 0 - i**3 + i to v*i + w + o*i**2 + y*i**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6484, 6439, 6322, 6133?\n\"Answer: -36*v**2 + 63*v + 6457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124 + 251. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -4*z + 6*z. What is the third derivative of -q**2 - z*q + 28*q + 0*q**2 + 7*q**4 wrt q?\nAnswer: 168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-1680)\/18)\/20)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 5*j - 25, -14 = 5*t - j - 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*z = 23, 3*z = -3*i - i + 19. Find the third derivative of -42*s**3 + s + 6*s**2 - 36*s**2 - i*s**2 wrt s.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.861519 grams to milligrams.\nAnswer: 5861.519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76486962 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3 = 0, 3*n + 0*n = -4*z. Solve n*j - 7 = 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -84\/5, -1, -5, -6\/233, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.4 and -18936040.174.\nAnswer: -18936035.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55004382 divided by 195051?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117301028 is divided by 2809.\nAnswer: 2806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.1 and 0.06?\nAnswer: 0.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*n + 32 = 43*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/(-3))\/((-1)\/(-6)). Suppose 11*p - 5*p - 378 = 0. Let q = p + z. What is the remainder when q is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14710, -5, -7, 7, -1, 1 in decreasing order.\nAnswer: 7, 1, -1, -5, -7, -14710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from {m: 5, a: 1, z: 1, j: 1, n: 2, v: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*6*(-25)\/(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*c + 4. Let w be (-1)\/(-7) - 135\/504. What is the smallest value in 1\/5, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6c3321 (base 14) to base 5.\nAnswer: 1421244120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**3 + 14. Let u(h) = 2*h. Calculate s(u(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*p + 7 = 0, 4*p + 3 - 1 = 5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -28. Let g = 2 + -2. Let c = g - p. Let u(n) = 5*n**3 - n. Give u(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -919 + (-2 + 2 - 18\/(-6)). What are the prime factors of (-6)\/9 + f\/(-6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 + 9*o**2 - 12*o + 44. Let y be k(6). Let g = y - -138. Solve 3*w + 2*h + 11 = 3*h, g*h - 6 = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000865 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pllhhhhhlplhhplh. Give prob of picking 3 p.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -651453886*t**3 + 193027723 wrt t?\nAnswer: -1954361658*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, u: 1, g: 2, f: 9, e: 1, n: 3}. Give prob of picking 1 s, 1 u, and 1 f.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2938068*q**5 + 3481349*q**2 wrt q?\nAnswer: 176284080*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oio when three letters picked without replacement from {o: 2, p: 9, i: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 855 + -1290. Let j = y + 434.96. What is the biggest value in 3, j, 1\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 3*a - 3, 6*p + 36 = -0*p - 0*p - 4*a for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 789\/980 - 1\/196. Let g = 4691 - 51619\/11. Which is the second biggest value? (a) g (b) 1\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 2*y**2 - 4*y + 7. Give i(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 10 = -14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -102*b - 74. Let m be g(-7). Let y = m - 310. List the prime factors of y.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-38)\/34 - 14248\/(-884). Calculate the lowest common multiple of (-8 + p)*15\/20 and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1081267088?\nAnswer: 2, 11, 29, 41, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 18.05. Let h = 0.95 + i. Which is the nearest to 4? (a) h (b) 2\/13 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 560 = j, 5*j = -12*o + 8*o + 2824. What is the remainder when j is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 487\/125932 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**3 + 12*l**2 + 6*l - 2. Let j(q) = -q**2 + 235*q + 6783. Let r be j(-26). Calculate v(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4957.567 to the nearest 10.\nAnswer: -4960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1769 divided by -1\nAnswer: 1769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.11 (c) -626 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 8 + 1 - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006857158 rounded to seven dps?\nAnswer: -0.0006857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1008?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, w: 3, d: 2, p: 1, v: 3, o: 1}. What is prob of sequence vfdd?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/4069 and -43\/626?\nAnswer: 8138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**3 - 37*q**2 + 74*q + 300. Give a(-2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/((-330)\/88)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(84) + -2*(sqrt(84) - -1*sqrt(84))))\/(2*(sqrt(108)*-2 + sqrt(108))\/sqrt(9)).\nAnswer: 15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 13. Are -1\/3 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -437 - -436. Sort -2, k, 4, -44 in decreasing order.\nAnswer: 4, k, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22457 is divided by 91?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2121022 - 10020?\nAnswer: -2201112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.085 - -1.915. Which is the second biggest value? (a) -3 (b) l (c) -0.3 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyo when three letters picked without replacement from tyoylyqyotlytoy.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*i + 23 - 219 = 500 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**5 + 9*v + 3. Let d(u) = -4 - 3*u + 3*u**5 - 5*u - u**5. Let z(q) = 3*d(q) + 4*r(q). Find the second derivative of z(i) wrt i.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + q + 1. Let n(k) = 2*k**2 + 3*k. Let s(d) = 4*a(d) - 2*n(d). Let m be s(-3). Let v = m + -36. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3933473*c**4 + 14988*c**2 - 17*c - 5.\nAnswer: -94403352*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 23*n - 24*n. Solve 2*y + 3*j - 6 = n*j, -5*y = j - 21 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/((-114)\/(-24)) + -9 + -6)*(14 - 15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -679300 to the nearest 10000.\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -186 + 190. Suppose 78 = -4*u - 5*l, 0 = -l + 3*l + x. Is -10 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -274.45 + 388.8. Round t to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-21))\/((-14)\/(-28))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0581 - 1.7381. Let p = -2.08 - k. What is the nearest to 8 in 4, -0.1, -1, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -2) + -2 + (-6 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 749 - 125 = 0. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/5*1*-5. Let f = 5 - 4. Let g = w + f. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4, 10, 20, 34, 52?\n\"Answer: 2*d**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 119*k**5\/60 - 84*k**2. List the prime factors of p(1).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 2878*b**2 + 11560*b - 11576.\nAnswer: -2*(b - 2)**2*(2*b + 1447)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1407.\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1363167658?\nAnswer: 2, 681583829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77 + 2*i + 152*i**2 - 84*i**2 - 79 - 46*i**2 - 2*i**3 to f + t*i**2 + v*i**3 + j*i and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.83758 kilometers to centimeters.\nAnswer: 8283758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**3 - 11*a**2 + 8*a + 14. Let j(t) = -4*t**3 - 12*t**2 + 8*t + 15. Let o(x) = 4*j(x) - 5*m(x). Let b be o(5). Solve -3*z + b*z = -6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115351 and 815021.\nAnswer: 1891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-2) + (-3)\/6. Suppose y*d + 3*c - 52 = 3, -3*c + 115 = 5*d. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 12:37 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1202021 + -3?\nAnswer: 1202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5692 = -22*j - 6000 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i - 7 - 4*i - 6*i**3 + 5*i wrt i?\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**3 + 1 + 0*f**3 + 9*f**2 - 4*f**3 - 15*f**4 - 8*f**2 to k*f**3 + s + y*f**4 + h*f**2 + b*f and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 943934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b - 2*b + 5*b - 3*b - 4*b - 4 - b + 4 + (-3*b + 4*b + 3*b)*(0 - 1 + 2))*(4*b**2 + 0*b**2 - 5*b**2).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 174247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 441.5, 3, 2, -2 in decreasing order.\nAnswer: 441.5, 3, 2, 0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 3*h**2 - h - 1. Let s(p) = -3*p**3 - 2*p**2 + 1. Let m be s(-1). Suppose m*t - 15 = -3*t. Let o be 3*(-3)\/(t*-1). Calculate c(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 17*s**2 - 8*s - 130. Let g be u(-17). Let b(n) = 5*n**2 - 5*n + 11. Let d(l) = -11*l**2 + 10*l - 23. Calculate g*d(y) + 13*b(y).\nAnswer: -y**2 - 5*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**5 - 556*c**4 + 22984*c**3 - 154872*c**2 - 8661708*c + 131346468 = 0.\nAnswer: -19, 23, 33, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2)\/((u*u\/u**(-5)*u*u)\/u))\/(u**3\/((u\/(u*u**(1\/4)*u))\/u)))\/((u*u**(-2))\/u**(-1))**(2\/61) assuming u is positive.\nAnswer: u**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 53*f - 55*f + 72996, -146016 = -4*f - 5*z. What is the ten thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6453 and 3107.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/11 - 102\/(-187).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 916949157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -485.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -36989*c. Let l(n) = -2*n. Give l(d(z)).\nAnswer: 73978*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33144000 rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + (2 - (-45 + 41)) - 9.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppssppspssps. What is prob of picking 2 s?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -28. Let f be 150\/8 + a\/24. Suppose -g - 4*g - 5*c = -185, f = g - 5*c. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(2 - 0)*(3 + -2). Calculate the remainder when 6\/(-10) - (-4256)\/35 is divided by (12\/(-18))\/(6\/(-369) - v).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6)*m)\/m*m)**(13\/3)*m**1\/(m**8\/m) assuming m is positive.\nAnswer: m**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54141957452505295 - 4247763687855968361871435\/78456042. Let p = -2\/622667 + t. What is the common denominator of -79\/22 and p?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2\/7, -0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168992, 337838, 506674, 675500, 844316, 1013122, 1181918?\nAnswer: 1350704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 25 = -x. Suppose 3*o - x*d - 40 = 0, 5*o - 42 = -0*d - 4*d. Let v be -3*(o\/(-6) - 0). Solve 2*z = 4*z + v*t - 13, -11 = -3*z + t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (3\/6)\/(2\/(-8)). Suppose 2*r - 2*h = 8, 0 = 6*r - r + h - 8. Let u(c) = 2*c + 4 + 3*c**r + c**3 + 0*c - 2. Determine u(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015946400715 rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2575, 2577, 2579, 2581, 2583?\nAnswer: 2585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 4*f - 57 + 55, f = -2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4)*8\/4. Is (i + 0)*-2 + 77 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*y - 19 - 1 = 0, -2*y = 4*m - 8. Suppose 33*n = 30*n + 48. Calculate the highest common factor of m and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*n + 58 + 30, n - 229 = 5*b. Let m be 3\/((-3)\/(-100))*b. What is m rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 + -0.7. What is the second biggest value in h, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 2*z. Suppose 3*h + 12 - 189 = z. List the prime factors of h.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19 and 323?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, q: 1, r: 10, x: 4}. Give prob of picking 1 q, 1 o, and 1 x.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2225 - -22287\/10. Find the common denominator of -65\/8 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 409670160 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 8:37 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/2)\/(i**1*i)*((i\/i**(-4\/3))\/i)\/i*i*i**(-7))\/((i*i**(-1))**(-6\/17)*(i*i\/(i**(-2\/5)*i))**(-2\/27)) assuming i is positive.\nAnswer: i**(-1637\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 15. Solve 0 = -n*d + 3*d - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 - 2*a**3 + 2*a**3 + (6*a**2 + 1 - 1)*(0*a + 0*a + 3*a) + (-1 + 2 + 0)*(a**2 - a**2 - 4*a**3))*(6*a**2 - 3 + 2*a**2 - 10*a**2).\nAnswer: -30*a**5 - 45*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*j + 8 + 3 = 0, -22 = -2*g + 5*j. Suppose 4*x - g = -4*d + 5*x, 4*d + 8 = 4*x. Let u = d - -4. Solve -3 = -2*c + u*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a meter in centimeters?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19043 + 27661. What are the prime factors of m?\nAnswer: 2, 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 5*k)*(-4 - 2 + 3)*(12 - 4 - 10).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 - (102 + -112) - -1.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b - 182 - 73 - 216 + (-4*b + b + 4*b)*(1 - 1 - 1))*(-15 + 15 - 6*b) to h*b**2 + n*b + k and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 760704 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5374, -5357, -5332, -5299, -5258, -5209, -5152?\n\"Answer: 4*o**2 + 5*o - 5383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 9:30 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 c when three letters picked without replacement from unnnunncnnounnnnunu.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*i - 5*z, -2*i + 5*z = -262 + 162. What is the remainder when 1113 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1540*l**2. Let c(a) = -18*a**2. Calculate c(w(z)).\nAnswer: -42688800*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(-1\/3)*r)\/r)**(-9\/4)*(r**1)**(6\/35) assuming r is positive.\nAnswer: r**(-93\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 - 7 + 9 - 4*o**2 - 7 wrt o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 b when three letters picked without replacement from iiwiiiiiabab?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 104216 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (10 + 2 + -4 - 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-3*4\/10)\/(21\/70)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*l - 23, 5*l + 45 = -3*d + 150. What is the remainder when 141 is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 114 * 12.\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 1:24 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 29 - 31 + 3*v - 47 + 23 as i*v + q and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**4\/6 + 11*u**3\/6 - 2*u**2 - 12*u. What is the least common multiple of 11 and p(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -82*g**2. Let r(d) = 9*d**2 + 21*d - 7. Let k(i) = -4*i**2 - 9*i + 3. Let f(z) = -7*k(z) - 3*r(z). Determine f(t(s)).\nAnswer: 6724*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 887.7907 meters to nanometers.\nAnswer: 887790700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 3. Suppose -4*b + 0*b = -5*k + 19, 0 = 4*b - k + 7. What is the remainder when (-2)\/(b - 1 - -1) is divided by j(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/2 - 2\/(-4). Suppose -x + 0*x - 4*v = -49, -3*x - r*v + 139 = 0. What is the remainder when x is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*f**4 + 9*f + 2*f**2 - 659*f**3 - 662*f**3 + 1981*f**3 - 660*f**3 in the form g*f + a*f**3 + k + i*f**4 + q*f**2 and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 9:35 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/557603353?\nAnswer: -2\/557603353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 26957.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.84*696.\nAnswer: 584.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*q = -11*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 63, 12, -81, -216, -393, -612, -873?\n\"Answer: -21*y**2 + 12*y + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22, 8, -26, -86, -178, -308?\n\"Answer: -o**3 - 4*o**2 + 5*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 775 and 208475?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 264657 to the nearest ten thousand.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2560 - 2302. Which is smaller: 262 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 21*s**2 - 42*s + 839. Calculate g(21).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/12 + 7\/(-98)*-21.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + a - 4*a = 34, 5*a - 10 = 5*j. Let f(i) = -i**3 - 5*i**2 + 2. Let n be f(j). What is the remainder when 61 is divided by n\/7 + (-330)\/(-21)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - 2*i**2 + 0*i**2)*(29*i**3 + 30*i**3 - 12*i**3 + (7 - 2 - 1)*(i**3 + 0*i**3 + 0*i**3)).\nAnswer: -102*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 0*m + 0*m)*(34*m - 40 + 82 - 50).\nAnswer: -34*m**3 + 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**9\/3024 + f**8\/1680 + 2*f**3\/3 + 2*f. Let v(x) be the second derivative of j(x). Determine y, given that v(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by (-1496)\/(-77) - 20 - (207\/(-7) + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 34 + 154. What is the greatest common divisor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 642*d**3 + d - 17*d + 643*d**3.\nAnswer: d**3 - d**2 - 16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 33*j**2 - 2*j + 69. Calculate v(33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -735 + 742 = -3*b + 2*d, -4*b - 5*d - 17 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10334 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.09 * 0.1.\nAnswer: 0.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 104\/9?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + 15*o - 4. Let k(w) = -w**2 + 19*w - 5. Give 5*d(p) - 4*k(p).\nAnswer: -6*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(-s**3 - s**3 + 0*s**3) + (9*s - 19 + 19)*(165*s**2 + 115*s**2 + 352*s**2) to d*s + u + r*s**3 + l*s**2 and give r.\nAnswer: 5684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*g + 262 - 1195 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(1 + (0 + 2 - 1)). Suppose 4*r - 5*y - 441 = u, -y - 2 = y. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*i - 24 = 3*i, 3*v = 4*i + 22. Suppose x - 3*a = v*a - 8, 2*x = 2*a. Suppose -3*b + k + 33 = -x*k, b - 5*k = 19. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 7*r + 55. Suppose -l - 10 = d, -3*l - 14 = 2*d - 4*l. Let x = r + d. Solve -x*b - 3 = 0, -2*u - b = -2*b - 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 144, 38, -174, -528?\nAnswer: -1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 282 - -374. Suppose -2*k = -q + 170. Suppose -2*t + 5*t = k. What is the greatest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 7*d + 4. Sort d, 2, -2, -4, 1.\nAnswer: d, -4, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(475)*-1 - sqrt(475) - 6*sqrt(475)*2) + (3 + 1 + sqrt(475) + sqrt(475) - (sqrt(475)*1 + -5)))**2.\nAnswer: -630*sqrt(19) + 23356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2974*b**4*r**3 - 9*b**3*r**3 - 2*b*r**3 + 11*b - 5708*r**3 wrt b?\nAnswer: -35688*b**2*r**3 - 54*b*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1746242 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 200964*l**3 + 18*l**2 + 6230475 wrt l.\nAnswer: 602892*l**2 + 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 181653052 to the power of 1\/2, to the nearest integer?\nAnswer: 13478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/27)*w**(-2))\/(w**(-2\/11)\/(w\/w**10)) assuming w is positive.\nAnswer: w**(-3191\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-six fifths of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(2748\/2730 + -1). Calculate the highest common divisor of 175 and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44 - 350?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/5402342 and 25\/121.\nAnswer: 59425762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*q**2 - 19*q**2 - 34*q**2)*(-3*q**2 + q**2 + q**2) to t*q**4 + a*q**2 + u + n*q + c*q**3 and give t.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*r = -2*r + 14, 2*b = 5*r - 19. Suppose -388 = -4*z - 5*k + k, -b*z + 306 = -2*k. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-3 - 3) - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -l - l. What is the remainder when l is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -4689, 0, -5.\nAnswer: -4689, -5, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 13?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - u + 375, -g + 2*u = 7*u - 51. Let i = g - 605\/8. What is the nearest to 1\/3 in i, 2, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = v - 5*u, -3*v - u = -6*u - 276. Find the second derivative of 24*g - 22*g + 11*g**5 - v*g**5 + 50*g wrt g.\nAnswer: -1620*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 6. Let l(q) = -3*q + 12. Let m(y) = 5*l(y) + 9*v(y). Let o = 34 - 45. Let d(g) = g + 2. Determine o*d(p) + 4*m(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 5, -2889, -0.4, -0.5 in descending order.\nAnswer: 5, -0.4, -0.5, -3, -5, -2889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 37. Put 1, k, -39, 5 in descending order.\nAnswer: 5, 1, k, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -171 + 176. Solve v*c + d - 4*d = -30, 0 = -4*c + 4*d - 32 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 20*v = 32 - 92, -3 = 4*n + v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*o**2 + 61*o**2 + 0 + 0 in the form b*o + h*o**2 + u and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 168846881 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106 - -296. Let s = m + -100. Suppose -27 = -2*j + a + s, j = a + 60. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 404171835 and 10?\nAnswer: 808343670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 7*i**2 - 10*i - 4. Let u be j(-8). Let d(f) = f**3 - 8*f**2 - 11*f + 18. Let k be d(9). Solve 2*n + 4*b + 14 = k, 3*n - 3*b = 2*b + u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + 21101401?\nAnswer: 21101340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-54))\/((-4)\/(-6)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14.6 and 11537687650.\nAnswer: 11537687635.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 61829751*f**2. Let h(p) = -5*p. What is c(h(k))?\nAnswer: 1545743775*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 - 20*v**2 + 18*v - 3. Suppose g - 9 = -6. Let n(u) = -3*u**3 + 40*u**2 - 37*u + 7. Let j(m) = g*n(m) + 7*c(m). Factor j(d).\nAnswer: 5*d*(d - 3)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7384570, 14769138, 22153706, 29538274?\n\"Answer: 7384568*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(135)\/sqrt(3) - sqrt(45))\/sqrt(9))**2 - -6*(sqrt(15)\/sqrt(3))**2).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33340442 (base 8) to base 2.\nAnswer: 11011011100000100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-4) - (2 - 27\/12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -19 = -488\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/4)\/(l\/(l\/l**(-2\/5))))\/(l**(-3)\/(l\/(l*(l*(l**(-4)*l)\/l)\/l))) assuming l is positive.\nAnswer: l**(133\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -76*p**2 - 4554*p - 9134. Let q(b) = -23*b**2 - 1519*b - 3045. Let n(i) = -10*q(i) + 3*z(i). Factor n(d).\nAnswer: 2*(d + 2)*(d + 762)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppzzp. Give prob of picking 4 p.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95*j**2 - 30155 + 30154 - 4*j**3 + 2*j**3 + 7*j**4)*(1 - 4 + 2).\nAnswer: -7*j**4 + 2*j**3 - 95*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 819846 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -889940*r**5*v + 3*r**3*v - 13286*r**2*v - r**2 + 9*r - 3 wrt r?\nAnswer: -53396400*r**2*v + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o\/o**4*o*o*o)\/o*o**(-1\/2))\/(o*o**0)**5*(o*o*o**(-1))**(-8\/3)*(o*o\/o**(-2\/3))\/(o*o**(-6\/5)) assuming o is positive.\nAnswer: o**(-33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 0*w + 7 - 5*w**3 - 5\/2*w**2 - 15\/4*w**4 - w**5. Factor h(y).\nAnswer: -5*y*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17551*k**4 + 9792*k**4 + 16922*k**4)*(6*k + 0*k - 3*k).\nAnswer: 27489*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2402074639\/762944 + 7\/108992. Let j = v + -264385\/84. Let g = 109919\/13846 + -10\/989. Find the common denominator of j and g.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12 - 3 - o**4 + 19*o**3 - 19*o**3 wrt o?\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2949044344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3\/7 - 176*b**2\/7 - 1142*b\/7 + 188 = 0. Calculate b.\nAnswer: -7, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43851?\nAnswer: 3, 47, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.09 - -0.09. Let a be (5\/70)\/((-3)\/(-54)*-3). Let r(k) = -k + 13. Let y be r(16). What is the second smallest value in 0.1, g, y, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 36*b**2 + 54*b - 106. Let i be g(-38). Suppose i*r = 732*r - 1152. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/2010 and -145\/1206.\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2558003 is divided by 182?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 - 100. Let v(f) = 7*f + 22. Let y be v(h). What is the tens digit of 1265\/10 + -2 + (-3)\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 10*a + 53. What is l(-16)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2\/520819371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + 2*f + 2*f + (-4 + 3 + 2)*(-5*f + 0*f + f))*(5*f - 3 + 3) to the form g + h*f + q*f**2 and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 455153447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 24 = -4*u - 3*t, -4*u + 4*t = 0. Let y be (-2)\/(-6) + (-2)\/u. Let v(i) be the second derivative of 11*i**3\/6 - i**2\/2 - 11*i. What is v(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 142 - 92. Let f = x - 49.9911. Round f to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.5 + -13. Let d = t - 0.5. Which is the nearest to d? (a) -1\/2 (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -14*k - 47. What is l(-7)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 11:27 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31933, -63867, -95801, -127735?\nAnswer: -159669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 97482 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 723, 38183, 75641, 113097, 150551, 188003?\n\"Answer: -b**2 + 37463*b - 36739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3080717, 3080641, 3080565, 3080489?\nAnswer: 3080413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -299\/24 - -157\/8. Let x = 9 - w. Find the common denominator of 79\/8 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -86*q + 2089. What is u(28)?\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -142 + 136. Let s(f) = 29*f**2. Let z(q) = -5*q**2. Determine n*s(v) - 34*z(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6122, -6095, -6040, -5957, -5846, -5707?\n\"Answer: 14*l**2 - 15*l - 6121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1*-1*sqrt(147) + 2 - (-4 + sqrt(147)*-2 - (3 + (sqrt(147) + sqrt(147)*2 + sqrt(147) - sqrt(147))))))**2.\nAnswer: 280*sqrt(3) + 2377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 20 = -2*d + 2, 0 = -3*f - 5*d + 20. Solve 4 + 1 = -f*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - 509*g**2 - 6670*g - 1416. Calculate y(267).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1332 (b) 14.35 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m**2 - 25*m**2 - 23*m**2.\nAnswer: -33*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*z = -30*z + 19823 for z.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4)*(-19 - 5). Suppose 0 = 4*n - 2*p - u, 4*p - 63 = -5*n + 2*p. Calculate the remainder when (-61)\/(-2) - (-2)\/(-4) is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 46*i**3 + 663*i**2 + 31*i - 2. Let q(z) = -65*z**3 - 928*z**2 - 44*z + 3. Give -12*q(t) - 17*u(t).\nAnswer: -2*t**3 - 135*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8872, -2, -16, -6 in ascending order.\nAnswer: -16, -6, -2, 8872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5063814\/882*(-14)\/(-2)?\nAnswer: 40189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1389636 and 324?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 22*r**3 - 3*r**2 - r + 4. List the prime factors of o(2).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3040490994 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/10 + 85\/25. Suppose -5*i = -i + r*l - 387, 0 = i - 4*l - 73. Is i a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1914598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (690\/(-25))\/(0 - (-2)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-783)\/(-232)*((-84)\/(-162))\/(-7)*-3\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f**3 + 2*f**2 - 3*f. Let u be w(2). Let r = -151\/4 - u. Let y = 76 - 379\/5. Which is the third biggest value? (a) y (b) r (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*k = 83*k + 49 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 3*u - 3*u to the form a + b*u and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006742 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06248 + 0.03752. Let f = -7 - -7.3. Put -0.3, -2\/125, w, f in decreasing order.\nAnswer: f, w, -2\/125, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 - 48.93. Let m = z - -52. Let p = -3.3 + 3. What is the closest to -0.2 in p, m, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -59\/12*m**4 - 23*m**2 + 0 + 0*m + 7\/2*m**3. What is the first derivative of x(z) wrt z?\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1534445317 and 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0017 * -24.033.\nAnswer: -0.0408561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242, 234, 226, 218?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 9902?\nAnswer: 13\/9902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/1*456\/1254.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 4*x**5\/25 + 27*x**4\/5 - 32*x**3 + 248*x**2\/5 - 2049. Suppose b(o) = 0. What is o?\nAnswer: -31, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1178 and 532?\nAnswer: 16492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + (-5 - -3) - (2 + 29)) + 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o + 3. Suppose -1 = -2*i - 15. Is d(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - t + 2 - 4*t**2 - 14 + 0*t - 5 to the form q + z*t**2 + n*t and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2070, 279.45, -5 in decreasing order.\nAnswer: 279.45, -5, -2070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -125, 109, 615, 1513, 2923, 4965, 7759?\n\"Answer: 20*m**3 + 16*m**2 + 46*m - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 307869471 and 702.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17581, -36362, -55143?\nAnswer: -73924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - (sqrt(88) + 1*2*sqrt(88)))\/(-2*sqrt(288))*-1 + -1*((-2*sqrt(264))\/sqrt(6) + -5).\nAnswer: 5 + 23*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-4)*(-952)\/4998. What is the nearest to 0.1 in n, -4, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 175292, 5, -5 in descending order.\nAnswer: 175292, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0186 - 61.9814. Let d = o - -142.5. Round d to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 720 and 524?\nAnswer: 94320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 2 - 9*o**2 + 7*o**2 + 5*o**2 - 300*o - 5*o**2 as p*o + w + z*o**2 and give p.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-646)\/(2\/(-17) + 135\/(-153))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 7096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -3\/5, 5, 3, -0.2, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -14577.873 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-6)*2*(-2)\/(-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*z - 23*z**5 + 12*z**5 + 9*z**5 wrt z.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o = 14*o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.026 (c) 1\/5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -3, 199\/11, -1\/8, 3?\nAnswer: 199\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 338 + -419. What is the tens digit of (r\/2)\/(32\/(-1216))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/29, -2\/7, 6\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyt when three letters picked without replacement from {t: 1, j: 1, l: 1, w: 1, y: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*r - 367696, -73552 = 2*r - 3*r + 3*d. Suppose r = 23*a + 26321. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -2*n**5\/105 + 5*n**4\/84 - n**3\/21 + 17*n**2. Suppose r(h) = 0. What is h?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-6890)\/(-85) - (-31)\/(-527))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -6.1. Let l = x + 0.7. Which is the biggest value? (a) 0.3 (b) l (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.272368 + 21630.9.\nAnswer: 21630.627632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4\/17*u - 14\/17*u**3 + 10\/17*u**2 + 0 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21160608 + 13099195. Let i = u + 8061405.260321. Let d = i + 7.74. Round d to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2358)\/131 - 272\/(-15)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*p + 8. What is the remainder when p + -3 + 1 + 15 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23734*j**3*r**2 - 270489*j**3 + 3*j**2*r**4 with respect to r.\nAnswer: -47468*j**3*r + 12*j**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 1146.\nAnswer: 343.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oofffffo. What is prob of picking 1 f and 1 o?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1549399202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.4 - 0.168?\nAnswer: -96.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 18. Suppose -3*h = 1 - 7. Let s be h\/(-20)*(-50)\/j. Which is the nearest to s? (a) 1 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -65*b**5 + 400*b**4 - 905*b**3 + 910*b**2 - 380*b + 40 = 0.\nAnswer: 2\/13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -10*b**2 - 55*b - 28. Let h(a) = -80*a**2 - 440*a - 225. Let n be ((-8)\/12)\/((-4)\/18). Let f(x) = n*h(x) - 25*l(x). Factor f(o).\nAnswer: 5*(o + 5)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5286736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a8a + -14a2?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2613029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 3\/25, 7, 2048.\nAnswer: 3\/25, 1\/7, 7, 2048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**2. Let q(l) = -5*l**2 - 4*l - 4. Let n(y) = -6*y**2 - 5*y - 5. Let c(o) = 4*n(o) - 5*q(o). What is k(c(u))?\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/(10\/20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(sqrt(425) + sqrt(425) + sqrt(425) + -1)*-1 + 5 + 1 + sqrt(425) + -1)**2*2*-2.\nAnswer: -27263 - 640*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 8) to base 6\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 6*f**2 + 5*f + 5. Suppose -2*w - 61 = -4*k + 141, -4*w - 3*k = 371. Let b = -100 - w. Give x(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 + 2*q**2 - 8 + 8 + 3*q + (0*q + q + q)*(3*q**2 - 3*q**2 - q**4) + (0*q**2 - 5*q**2 - 2*q**2)*(-2*q**3 + q**3 + 4*q**3).\nAnswer: -22*q**5 + 2*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - r + 4 = 0, -2 + 0 = 3*h + 2*r. Calculate the remainder when 76 is divided by 26\/(-5)*((-2)\/4 - h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 6. Let d = -58.8 - -59. Which is the second smallest value? (a) 5 (b) f (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50.2 - -50.3. Let w = -2 - -1.8. Let l = w - -1.2. What is the second biggest value in l, -1\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50853)\/1155 - 40\/(-1400)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/12 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52.8 - 52.93. Sort 0.3, 9, x in ascending order.\nAnswer: x, 0.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 34?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvaavvvvvvrevvv. What is prob of sequence vv?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - l. Let a(u) = -8*u**3 - 2*u**2 + 6*u. Let p be (6\/(-10))\/(119\/(-1190)). Calculate p*f(m) + a(m).\nAnswer: -2*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*i + 4*p, 0 = -3*i - 95*p + 90*p + 21. Suppose i*o - 3*d = -o - 741288, 3*d - 1235488 = 5*o. What is o rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 53\/5 of a millisecond?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108629654 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3346 divided by -3.\nAnswer: -3346\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1804, 1810, 1820, 1834, 1852, 1874?\n\"Answer: 2*u**2 + 1802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 185.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**5\/30 - z**4\/6 + 5*z**3\/6 + z**2. Let f be y(-5). Let c = 37 + f. Solve 4*q + 4 = c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*6\/(-60)*-15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 minus 14669?\nAnswer: -13536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 674050 a multiple of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8347, 8129, 7963, 7855, 7811, 7837?\nAnswer: 7939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.3 rounded to 0 dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -15, 5 in ascending order.\nAnswer: -20, -15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 15*a - 61 - 10, 4*s - 4*a + 172 = 0 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*sqrt(175) + -4 + sqrt(28)\/(sqrt(4) - 2*sqrt(4)) + 3)**2.\nAnswer: -8*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-47)\/(-2) - 6)*16\/(-10). Which is the nearest to z? (a) -2 (b) -0.3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 4*a - a, 5*l + 20 - 36 = a - 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 244 - 28. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16814209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 + 67. Suppose 27 + 9 = t*m. Solve -m*h + 10 = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 576197?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + 54\/(-15))\/(15\/(-11025)). Suppose 8*a = -a + j. Let v(d) = 2*d**3 + 3*d**2 - 7*d + 1. Calculate the remainder when v(5) is divided by a.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**3 + 6*w. Let j(h) be the third derivative of h**6\/40 + 5*h**4\/24 - 8*h**2. Give -6*j(z) + 5*p(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**10\/a*a)\/a)**9 assuming a is positive.\nAnswer: a**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 24*r**3 - 17*r**2 - 10*r - 17. Let m(u) = -8*u**3 + 6*u**2 + 3*u + 6. Let c(n) = 6*j(n) + 17*m(n). What is the second derivative of c(l) wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/22 + (-3)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 7:16 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 21 + 7 = 4*w, -3*q + 22 = 4*w. Suppose -18 = 3*i - q. Let k be 1 - (-12)\/(-3) - i. Which is smaller: k or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56845 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 1. Let p(h) = -h - 1. Let v(z) = -z**2 - 8*z + 23. Let n be v(-10). Let u be (n\/1)\/(3\/(-2)). Determine u*k(x) - 4*p(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -104796547302 take away 49?\nAnswer: -104796547351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*b + 4*m = -51*b + 20, -5*b - 5*m = -4*b - 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -134 + 135. Which is the nearest to 0? (a) f (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 21*c - 1419 = 98*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9164, -18308, -27450, -36590, -45728, -54864, -63998?\nAnswer: -73130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**2 + 65*b. Let y = 2785 - 2776. Let a(l) = l**2 - 16*l. Calculate y*a(x) + 2*k(x).\nAnswer: x**2 - 14*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -33 + b**2 + 38 - 3*b - 6*b. Let o be x(5). Let i = 19 + o. Solve 8 = g - 5*g - i*l, -5*g + l + 20 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z - 17*z - 3*z + 13*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 - 54. Which is the closest to 1? (a) n (b) 1\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -931 - -1000. What is the remainder when 285 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27857738 to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhqhq. What is prob of picking 1 h and 1 q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9)*a\/(a*a**(-5))*a*(a**(-1\/8))**(2\/11))**(-31\/4) assuming a is positive.\nAnswer: a**(4123\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74597.99 years to decades.\nAnswer: 7459.799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 6*j**2 + 8*j - 8. Let g be a(7). Let v be g\/3 + ((-91)\/(-3) - 8). Find the third derivative of 10*f**6 - 64 + v*f**2 + 64 wrt f.\nAnswer: 1200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 157, 242, 333?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15933516*i**2*q + 5*i*q + 4*i + 201*q - 29 wrt i?\nAnswer: -31867032*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 2*r**3\/33 - 70*r**2\/11 + 138*r\/11 - 565. Suppose w(y) = 0. What is y?\nAnswer: 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -38*o + 27. Are 6\/1217 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3982104616.1 - 0.8.\nAnswer: 3982104615.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 2. Let n be (-37 - 1) + (-4)\/a. Is 7 a factor of n\/(-8)*(-16)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 2:45 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**3 - 32*g**2 + 733*g + 240. Calculate m(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w. Let j(b) = 61*b**2 - 122*b. Determine j(t(v)).\nAnswer: 1525*v**2 - 610*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in 1\/3, 0.5, 15840?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1421 - -2?\nAnswer: -1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20348 and -0.03?\nAnswer: -610.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*g + 19*g + 241 = -95 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115198581800 less than 53?\nAnswer: -115198581747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.35827 litres to millilitres.\nAnswer: 12358.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 23*t**2 - 27*t + 27. Determine l(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-10)*48\/(-30).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -u - 0. Let y = 1117\/76 + 20\/19. What is the common denominator of (23\/u)\/(5\/3) and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 177 = -4*x. Let l = 23 + x. What is the lowest common multiple of l*((-8)\/6 + 1) and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjjjjjjjjzjjjjjjj.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57636 is divided by 27073.\nAnswer: 3490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 12, -3704, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -240, -243, -220, -159, -48, 125?\n\"Answer: 2*g**3 + g**2 - 20*g - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 172 times 2418775\nAnswer: 416029300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 18*p**2 + 21*p - 36. Let r be m(19). Suppose -2 = r*b, 2*b = -4*f + 3*b + 27997. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)*-2 + (1*sqrt(80))\/sqrt(5))\/((sqrt(200) - (4*sqrt(200) + sqrt(200)))*-5)*2.\nAnswer: -9*sqrt(2)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.444 + 0.844. Which is the smallest value? (a) j (b) 3 (c) 4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -694 - -3045. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, 5, 2, -6, -64, 1 in ascending order.\nAnswer: -64, -6, 1, 2, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1771 - 1769. Sort s, 1, 6, 0.\nAnswer: 0, 1, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -9868.\nAnswer: 49340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.18 (c) -0.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -89, -254, -623?\nAnswer: -254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*((-4 + 1*sqrt(832) + sqrt(832)*-1*3)*2)**2*-3.\nAnswer: -200635 - 7680*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*c - 63, -2*i = -4*i - c + 57. What is the remainder when (-2)\/4*((-16)\/4 + -102) is divided by i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -202, 774, 1750?\n\"Answer: 976*q - 1178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.93 - 11.43. What is the closest to 0.1 in 21, k, -3\/20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c + 4*a = 10, -5*a = -4*c - 20. Let b = c + 10. Suppose 5*r - 2 = 23. Solve u + 2*d = b*u, -4*u = -r*d + 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140564, -281492, -422798, -564488, -706568, -849044, -991922?\nAnswer: -1135208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 225\/(17 + -2) + 2 + -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 8*a. Let j = 470 + -477. What is z(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = y - 5*y, 2*y = 4*m + 2. Suppose 2*n = -m*n. Suppose n = 3*j - 127 + 43. What is the remainder when 54 is divided by j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 61?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 7*m = -74, -163*l - 42 = -160*l - 3*m for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2942388, 5884848, 8827308?\nAnswer: 11769768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -989 - -196. Let u = f - -792.998524. What is u rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*z - 3 - 23 = 0, 88 = -5*u - 4*z. What is the lowest common multiple of 1\/(2 + -4)*u and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -300221?\nAnswer: -300216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3\/5 - 2036*z**2\/5 + 51612*z + 52020.\nAnswer: 4*(z - 255)**2*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 11668, 4\/5, 77 in increasing order.\nAnswer: 4\/5, 77, 11668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/2 + (-2 + -30 - -25). Solve y*j - 57 + 17 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 355248 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.036, 4, -0.02, 30540 in descending order.\nAnswer: 30540, 4, -0.02, -0.036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvaoq. What is prob of sequence aqo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -510 - -711. Let t = l - 200.9. Sort t, -2\/17, 5\/2 in descending order.\nAnswer: 5\/2, t, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 - -74. Suppose -b*t = u - 26, -5*u + 3*t - 6 - 4 = 0. Which is greater: 2\/43 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11097902 to the nearest integer?\nAnswer: 3331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/1*(3 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/2))**(-10\/7) assuming j is positive.\nAnswer: j**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/1190 and 8\/1595.\nAnswer: 379610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)\/x**4)\/(x*x**(-11)*x*x*x\/((x\/x**(2\/17))\/x*x)*x) assuming x is positive.\nAnswer: x**(-53\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 2343978?\nAnswer: 2343978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 989.\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 7*z - 3. Let r be p(6). Suppose r = w - 0. Solve -2 - 1 = w*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 715228?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3235881, 6471771, 9707663, 12943557, 16179453?\n\"Answer: q**2 + 3235887*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 236644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/15 + 40468*c\/15 - 37744 = 0. Calculate c.\nAnswer: 14, 20220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 28, 0, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdg when three letters picked without replacement from xyxdxdgdddxyddgdxyxx.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 + 64. Suppose 5*x - u*s + 30 = 0, 3*s = 16 - 1. Calculate the common denominator of x\/(-3)*(-1)\/(12\/162) and 49\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*p*v**2 + 1190*p*w**3 + 48*p*w**2 - v**3*w**2 - 13*v**3*w + 65*v*w wrt w.\nAnswer: 7140*p*w + 96*p - 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2\/15, 214, 3, -2, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 57. Let t = -2757 + 2757. Give x(t).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -42, -103, -188, -297, -430, -587?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 50727 = -207*r - 8737. Calculate the greatest common factor of 40 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -2)*(-114)\/(-798). Find a, given that 0*a + c + 1\/7*a**4 - 2\/7*a**2 + 0*a**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.166 - -0.16. Let z = 48.994 - k. Let u = z + -49.2. What is the nearest to -2 in u, 1, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3343584 divided by 5?\nAnswer: 3343584\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**6 - 2*w**5\/5 + 5*w**4\/6 - 2*w**3\/9 + 589. Find u such that z(u) = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (1 - 0) - (128 + -135). Suppose 2*v + 5*f = -v + 45, -5*v = -b*f - 35. Solve r + 45 = v*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -6 - 2. Let j = -6 - d. Do 0 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 400283646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by (-24)\/(-2 + (-2)\/(-4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 9*f**2 + 3*f**2 + 3*f**2 + 16 + 2*f**2 as o*f + p*f**2 + v and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 5*h - 10 = 0, -8*h = -2*k - 10*h - 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 31*m**2 + 64*m - 41. Let j be a(-33). Calculate the greatest common divisor of 8100 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 0*f - 9 - 3\/2*f**6 + 9\/2*f**2 + 0*f**4 + 0*f**5 + 0*f**3. Find the second derivative of v(x) wrt x.\nAnswer: -180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 != 34844\/3365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111 - -271. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3589 - 3588. Let c(z) = z**2 + 1. Let b(h) = 11*h**2 + 2*h + 4. Calculate l*b(k) - 6*c(k).\nAnswer: 5*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 - 5*q**3 + 1443 + 65*q - 143*q + 44*q + 32*q in the form k + s*q + i*q**2 + w*q**3 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6214 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0\/1 + 0. Let j(s) = -27*s**2 - 2*s + 4. Let u be j(2). Let w be -3 + l\/(4\/u). Round w to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-3)\/2)*12\/24.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 811 + -12157\/15. Let -2\/15*l**4 - q*l**2 - 8\/15*l**3 + 0*l + 0 = 0. What is l?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -119*z**3 + z. Let r(x) = 40*x**3. Let v(j) = -3*o(j) - 8*r(j). Find the second derivative of v(k) wrt k.\nAnswer: 222*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-21))\/((-5481)\/59682)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + j**3 + 2 + 0*j - j**3 + 0*j + (5 - 2 - 1)*(4 - 4 - 2*j**3) - 2 + 1 - 4*j + j**2 - 18*j + j**3.\nAnswer: -3*j**3 + j**2 - 22*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.60431m in millimeters?\nAnswer: 16604.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2. Suppose -2*b = -7 - 29. Suppose 2*r - b = 38. Let i(o) = 26*o + r*o - 57*o. Calculate h(i(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1096002591 or -1096002592?\nAnswer: -1096002592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/(10\/3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95163403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -175315 divided by -5009\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 475471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 3*i - 34, -4*z + 5*i - 10 = -5*z. Let r(d) = -d**3 - 4*d**2 + 3*d - 6. Let o be r(z). Solve 1 - o = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -196733 (base 12) to base 16\nAnswer: -6d197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -0.048, -2\/3, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -677, -546, -57, 970, 2715, 5358, 9079, 14058?\n\"Answer: 30*u**3 - u**2 - 76*u - 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - h**3 + 4 + 2*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1805*y**4 - 1150830*y**3 - 183193805*y**2 + 77287320*y - 8140880.\nAnswer: -5*(y + 319)**2*(19*y - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (354\/(-531))\/(20\/(-42)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -545, -557, -595, -671, -797?\nAnswer: -985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103 (base 8) in base 10?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhfzhfhfhyzyzhhff. Give prob of picking 1 y, 1 z, and 2 f.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.49 + -11.89. What is the nearest to 0 in -2, 33, v, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71024460383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 59751201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(20)\/sqrt(4) + 2.\nAnswer: -3 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) -4 (c) 1 (d) -2\/67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 433*o + 4901. Does 8 divide w(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x + 17. Let j(w) = -17*w**3 - w**2 - w. Let i be j(-1). Calculate the greatest common factor of x and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -634*u + 1825 + 1077 - 1000. Factor 8\/5 + 4*k + 16\/5*k**2 + 4\/5*k**u.\nAnswer: 4*(k + 1)**2*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 6935500 = -48*f. What is f rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 4*f**2 - 6. Let b be y(3). Solve 4*u - 2*u - 25 = -b*v, u - 25 = -4*v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-7) + 4\/14. Let h = -23 + 21. Which is smaller: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76104.167 rounded to the nearest 1000?\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0 (b) 1\/5 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14431\/3 - 4851. Let r = 41 + s. Which is greater: -1\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077103271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 2688554?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*n**3 + 31366 - 10475 - 10444 - 10447.\nAnswer: -161*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -2*v + 74, -2*u = 2*v - 349900. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/22*(3 + 1). Let s(d) = 7*d - 44. Let w be s(6). Put w, n, -0.2 in decreasing order.\nAnswer: n, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/15)*a*a**(2\/23))\/(a\/(a**(2\/5)\/a)*a)**24*((a*a*(a\/(a\/(a*a*a**(2\/3)\/a)))\/a)**(-31))**(19\/7) assuming a is positive.\nAnswer: a**(-230091\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1386307 and 338?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 72966*w - 802767. Calculate d(11).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2587 divided by 64457\nAnswer: -2587\/64457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 13 = 141. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 61. Suppose 0 = -5*s - 5*l + 10, 3*s + 5*l - 17 + 3 = 0. Let d = -3 - s. Sort 2, d, x.\nAnswer: d, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5741 < -5741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -2*o + 9, -3*o + 4 = -149*p + 151*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2. Let y(l) = -10*l**2 - 193*l + 2. Give y(q(c)).\nAnswer: -10*c**4 - 193*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214, 209, 204?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*b = -785, -5*l + 2*l = -2*b - 446. Suppose l = 2*o + 4*w, -o - 3*w + 222 = 2*o. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -8 - 54*s**2 + 100*s**2 - 16*s - 48*s**2. Let i be g(-7). Solve 0 = -4*d + d - i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/6552 and 29\/156.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8738*d**3*r**3*x**3 + 2*d**3*r**2 + 3*d**3*r*x**3 + 3*d**2*r**2*x**3 + d**2*r**2 + 4*r**2*x**2 wrt r.\nAnswer: -52428*d**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -1\/1784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -3*x**2 + 19*x + 780. Give v(-8).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a + 512 = -1963. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*y**3 - 11 - y**2 + y + y**2 + 67 wrt y.\nAnswer: -57*y**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 25. Let z(m) = m + 20. Let h(d) = -4*n(d) + 5*z(d). Let r(w) = -4*w. Let t be (-6)\/(-4)*(-22)\/(-11). Give t*r(y) + 16*h(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0 (b) -0.4 (c) 25 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*d = -538, -5*r + d + 0*d - 526 = 0. Let b = -40 - r. List the prime factors of b.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-102)*((-4)\/7)\/((-34496)\/(-32928)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 34*u**2 + 121*u - 81. Calculate x(-30).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76894*s - 34560*s - 42342*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**3 - x**2 - 9*x + 10. Let d be l(1). Solve -4*h + o - 20 = 0, h - 2*o - o + d = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 38757961.\nAnswer: 5\/38757961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-56)*12128\/9096\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u - 2. Let g be n(2). Suppose -10 = -3*l - 4*z + 6, 3*z - 19 = -g*l. Let m = -2 + 5. Solve l*t + 18 = -m*i, -t + 6*t + 7 = 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 18. Let i be w(0). Suppose 0 = -s + 4*s + i. Let x(h) = -13*h - 5 + 17*h - 10*h. Let a(f) = -7*f - 6. What is s*x(j) + 5*a(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 17. Let l be (1\/(10\/n))\/(24\/30). Let k = -117 - -587\/5. Which is the closest to l? (a) k (b) -0.2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -34. Let d = t - -35.2. Put -0.09, d, 2\/15 in ascending order.\nAnswer: -0.09, 2\/15, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 5*f + 162 = 0. Let g(t) = -3*t**3 - 9*t**2 + 12*t + 18. Let q(o) = 2*o + o - 1 - 4*o. Let p(c) = f*q(c) - g(c). Factor p(i).\nAnswer: 3*i*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 12:59 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -87*m. Let b(c) = -44*c. Let j(y) = -2*a(y) + 5*b(y). Let g(h) = -968 + 12*h + 968 - 12*h - 2*h**2. Determine j(g(q)).\nAnswer: 92*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, 102, 282, 514, 786, 1086, 1402, 1722?\n\"Answer: -2*k**3 + 44*k**2 - 2*k - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 a factor of 400640304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 18. Solve -4*x - g = 17, 10 = -4*x + 2*g - t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - -0.8. Let g be 13\/(-4)*(-340)\/2210. Which is the nearest to g? (a) i (b) -10 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 28. Let h be (-298285 - 1)\/((-14)\/c). Let g = h - -150857. What is g rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2) + (-9207)\/2046.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 38625\nAnswer: 154500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -3)\/2 - -1. Suppose -5*t = -5*y - 105, t = 6*t + 3*y - 113. Let i = -18 + t. Which is smaller: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 + -155 + 108 + (-1 - 0) - 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, -530, 4, -4 in descending order.\nAnswer: 4, -4, -90, -530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)*2*6)\/sqrt(5).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 26186221\nAnswer: 3\/26186221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 + 11?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3868609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 3*h**2 + 6*h + 8. Calculate d(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 17*y**2 - 4*y + 51. What is a(17)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 22*l + 5 + 97*l.\nAnswer: 75*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dc1e - 9?\nAnswer: dc15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 31.\nAnswer: 28\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000590548044 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 750 + -748. Factor o*v**2 - 2\/3*v**3 + 0 - 4\/3*v.\nAnswer: -2*v*(v - 2)*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(9\/27 - 0). Suppose -8*a + 75 = -13*a. Let b be (x - 11\/5)*a. Calculate the highest common divisor of 24 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.005166 - -29651\nAnswer: 29650.994834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 353255\/4 smaller than 88314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010000111111 (base 2) in base 14?\nAnswer: 354b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*l + 33999995, -2*l - 33999998 = 7*u - 2*u. Round u to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 2394634319 - 2394634319 - 14*u.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdqdqqddddd. Give prob of picking 2 d and 1 q.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 1.7 (b) 0.4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-428)\/(-428))\/((-28)\/(-126)*(-2)\/12)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 287019461 to the nearest integer?\nAnswer: 16942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1388*z - 820*z + 11520 - 2105*z**2 + 2246*z**2 - 3*z**3.\nAnswer: -3*(z - 16)**2*(z - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6 = 2*c. What is the least common multiple of c and (-15)\/3 + (9 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 263 * -61.\nAnswer: -16043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 16731116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 25*j**2 - 27*j + 540. Let b(n) = -13*n**2 + 12*n - 271. Let s(k) = 7*b(k) + 4*l(k). Differentiate s(u) wrt u.\nAnswer: 18*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*v - 34*v - 62*v + 150*v.\nAnswer: 23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 42. Let k = 6 - x. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 206, 225, 260, 317, 402, 521, 680, 885?\n\"Answer: t**3 + 2*t**2 + 6*t + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 127, 51, -75, -251, -477, -753?\n\"Answer: -25*q**2 - q + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42608 divided by -16.\nAnswer: 2663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/9519 + -599717\/190380. What is the common denominator of j and 89\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 z when three letters picked without replacement from zizuiizzuzzzuzuzizzz.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-10) - (-84)\/35. Suppose 0 = u*n + 5*n - 16. Solve n = -3*c + g, 5*g - 10 = 6*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 141 - 23*j - 141 + 0*j + 3*j - 5*j + (2 - 5 + 2)*(j + 5 - 5).\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 20*s + 33. Let b be u(2). What is the highest common factor of 359 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103623 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 12 - -18 - (0 + -12)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, a: 3, w: 4, q: 2, r: 2, c: 3}. Give prob of sequence acrw.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 472 + -265. Let o = 58 - -39. Suppose -281 + o = -8*r. What is the highest common factor of i and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1413 in -1\/5, 1.5, 1.6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 12402*t**3 + 2*t**2 - 1. Let s be f(1). Suppose -z = 2*w - w + s, 2*w + 4*z = -24812. Round w to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2126767613?\nAnswer: 2126767613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*t*w**4 - 3*t*w - 778*t - 15167*w**5 + 92 wrt w.\nAnswer: 648*t*w**2 - 303340*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2090 - 1486. List the prime factors of v.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/3 (b) -2\/5 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 331 divided by 494\nAnswer: 331\/494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (5795\/(-15) - -8)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.20000173 - -4.2. Round w to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 r when four letters picked without replacement from rqqqqqqrlqqqrql?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2205660 - 735223 - 735222 - 4*w**2 - 735215.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2. Suppose 2*f - 7 = -s. Solve -q + 1 = f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2.2. Let d = 110720 - 110681. Is d != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 1 (c) 3 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 6*p - 22 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-11)\/6 + 32\/(-192).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h. Let r be u(-3). Let m = 87 + r. Suppose -z + m = z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3 + 1. Let u be q*(-3)\/42 - 0. What is the closest to u in -3, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1431?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 13*d**2 - 29*d - 33. Let r(v) = -7*v**2 + 14*v + 16. Let z(t) = -6*k(t) - 11*r(t). List the prime factors of z(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -235019*d**2 + 263351*d wrt d.\nAnswer: -470038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 435 by -145.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/3)\/r**(-4))\/(r**0*r*r*r**(-1)))\/((r**1)**(-16)*r**(-2\/15)*r**(-6)) assuming r is positive.\nAnswer: r**(367\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1117*h = 1101*h + 271 - 13579 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7198 is divided by 101?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -155109 rounded to the nearest one hundred?\nAnswer: -155100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + -3*(sqrt(684) + 3))**2.\nAnswer: 216*sqrt(19) + 6192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 5 + 31. Find the common denominator of -29\/2 and (2 + 55\/(-20))\/(y\/57).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99928079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 1150*i**2 + 23565*i + 22410.\nAnswer: -5*(i - 249)*(i + 1)*(i + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2730 + 731. Is x equal to -1997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 16*y - 9. What is d(-3)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*c**2 - 244*c**2 + 746*c**2 + 2*c - 254*c**2.\nAnswer: -6*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 - 26*l - 240.\nAnswer: -(l + 12)*(l + 40)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -45. Which is bigger: -3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 11*f**2 - 12*f + 10. Let v be z(-9). Suppose -3*d = -d - 2*w + 90, -2*d + 4*w = 94. Is v >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7e89 (base 15) to base 11\nAnswer: 19239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291973 is divided by 1246.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -1799181 and -1799189 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(6 + -5 + 2). Let z(f) be the third derivative of 0*f + 0 - 2*f**2 + 0*f**4 + d*f**5 + 1\/6*f**3 + 1\/120*f**6. Differentiate z(m) with respect to m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**5 + 218*b**4 + 2231*b**3 - 9566*b**2 - 8940*b + 34776 = 0?\nAnswer: -207, -14, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**(-3\/10)\/u*u)\/u)**(-2\/5)*(u\/u**0*u)**24 assuming u is positive.\nAnswer: u**(1203\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 22198052*w**2. Let f(k) = 11*k**2. What is y(f(d))?\nAnswer: 2685964292*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1c7957 (base 15) to base 14\nAnswer: 28371d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**4 + 1733660*v**3 - 2*v**2 + 5136765*v - 2 wrt v.\nAnswer: -24*v**2 + 10401960*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 401 - 381. What is the remainder when 259 is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Let r(l) = 565736*l**2. What is r(g(x))?\nAnswer: 565736*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 24 = 4*o + 14, -5*r + 25 = 4*o. Suppose 0*w + 75 = 5*m + r*w, 2*m + w - 35 = 0. Solve p = -3*p - m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 5 (b) 3\/2 (c) 5\/6 (d) 3\/403\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112271568?\nAnswer: 2, 3, 709, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b - 1. Let a be r(-2). Factor -3*d - 4*d**3 - 8*d**2 + d + 0*d - 2*d**a.\nAnswer: -2*d*(d + 1)*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1857 + -1855. Solve -5*f + 4*f = -5*z - 23, -l*z = -5*f + 23 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -56.8529226 and 32426.\nAnswer: 32369.1470774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q - 18*q + 0*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -28, -68, -126?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59246623 to the power of 1\/2, to the nearest integer?\nAnswer: 7697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 50406377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 64*a**2 - 94*a + 5862. Calculate r(64).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - k = 16, 3*v - 783*k = -780*k + 27 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -76. Let f = i + -30. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/15)\/h**(-17) assuming h is positive.\nAnswer: h**(256\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*1\/(5\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and 850.\nAnswer: -16150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*t)*(1 + 8 - 3).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 - 78.806. Round o to two dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14352, 53780, 119496, 211500, 329792, 474372, 645240?\nAnswer: 842396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322*i - 38247 = 320*i + 5*c, c - 95523 = -5*i. List the prime factors of i.\nAnswer: 2, 41, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89\/6 + 44\/3. Let t = -16 + 16. Let j = -3 + 0. What is the nearest to t in 4, a, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4729688*p**4 + 10571616.\nAnswer: -18918752*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2638.93979 to one dp.\nAnswer: 2638.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11165*n**6 + 33680*n**2 wrt n?\nAnswer: 1339800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3\/4 (b) -0.033 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 2. Let j be y(0). Suppose -g + n = -11, j*n + n - 27 = -g. Let s = 8 - 2. Calculate the highest common factor of s and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + r = 3, -4*b + 3*r + 3 = 12. Let j = -2676 + 29441\/11. Is j greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -5, 3420 in decreasing order.\nAnswer: 3420, 39, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 8*n = -16, 2*v = 5*n - 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -31*2\/(-3) - (-4)\/(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 232262882*q**3 - 89799032 wrt q.\nAnswer: 696788646*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271433 = 5*o - 4*j, -8*o = -16*o + 4*j + 434300. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-39) + (-6300)\/(-117) + -1. Solve -51*d - 6 = -w*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 46, 20, -38, -140?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 230\nAnswer: 9\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46696*i**5 - 4 + 4 + 881*i**4 + 46698*i**5 - 887*i**2 wrt i.\nAnswer: 120*i**2 + 21144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/63615 and -38\/4728715.\nAnswer: 14186145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74459.\nAnswer: 7, 11, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 98261 = 5*d, 15*d + 9*z - 5*z - 294748 = 0. What are the prime factors of d?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 2*o - 7. Let w be v(-4). Let c be (-2)\/4*(3 + -1). Sort c, w, -3 in descending order.\nAnswer: w, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**5 + 1954*g**2*m**2 + 7*g*m**2 - 23*g*m + 4*m**2 wrt g?\nAnswer: 60*g**3 + 3908*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/9))**(-1\/3))**(-32) assuming y is positive.\nAnswer: y**(64\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 120131 (base 4) in base 5?\nAnswer: 22230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - k)*(-k**3 - 9*k**3 - 8*k**3 + (-k + k - 2*k**2)*(3*k - 4*k - k) + k**3 + k - k) + (-4 + 5 - 4)*(0*k**4 - 3*k**4 - 2*k**4) - 2*k**4 + 3 - 3.\nAnswer: 26*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -34207635+-1.05\nAnswer: -34207636.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39760 + -39730.4. Sort 0.5, -14, m in descending order.\nAnswer: m, 0.5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, a: 2, q: 9, w: 5, g: 1}. Give prob of picking 1 o and 1 a.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127458 is divided by 421.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9945 and 465?\nAnswer: 308295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -202410, -404211, -605406, -805995, -1005978, -1205355?\nAnswer: -1404126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 262 or 135?\nAnswer: 262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 5*h - 4. Let i be x(-3). Suppose -43*n + 45 = -i*n. Suppose -n*b = -9 - 9. Is b greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 8 = -l. Let w be (-2)\/3*(-15)\/l. Let f be (-1)\/((-11)\/66) - (5 - -1). Sort 1, w, f.\nAnswer: f, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 89165055.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (1 + 10) - 1. Let h(x) = 11*x**2 - 31*x + 76. Let p(w) = -2*w**2 + 7*w - 15. Let b(y) = 4*h(y) + 21*p(y). What is the units digit of b(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**9*b)\/(b**(2\/9)\/b))**(-23\/4)\/((b**(-6)*b**(-3))\/(b**1\/b)**(-45)) assuming b is positive.\nAnswer: b**(403\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**4 - 20*d**3 - 29*d**2 + 12*d = 0?\nAnswer: -4, -3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 25.6. Let o = u - 3. Let a = 0.51 - o. What is a rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 32*p**2 - 58*p + 20. Does 18 divide d(34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -23 + 14 - (-25)\/3. Let q(u) = u**2 - 2*u - 5. Let o be q(0). What is the third smallest value in o, v, -10\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1782)\/(-88)*(-2)\/12. Let x be (-12)\/(-4)*((3 - 11) + 7). Which is greater: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/63)\/(12\/14)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 375496 and 95183?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -34, -57, -82, -109, -138?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4195359482 to the nearest integer?\nAnswer: 64772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-2))\/((-4)\/(-6)). Suppose 372 = -3*f + 9*f. Suppose -3*y - d*k + 16 = -f, 0 = 2*k - 10. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(-27)*g)\/g))\/g**(-15))**(-1\/24) assuming g is positive.\nAnswer: g**(-43\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 717164 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -10.963\nAnswer: -21.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47521*d - 47530*d + 190094*d - 47522*d - 47522*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17555 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 + 39*i**3 - 22*i**3.\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**4\/11 - 59594*u**3\/11 - 238354*u**2\/11 - 297934*u\/11 - 119172\/11 = 0.\nAnswer: -29793, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 4. Let k = -9 - -15. Let n be r(k). Suppose 0 = -3*t - t + 20. What is the nearest to 0.2 in t, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -13241 - 4415 - 482 - q. Let k be t(0). Let i = k - -326347\/18. What is the common denominator of i and -7\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 341*z**3 + 227*z**2 - 227*z**2 + (-4*z + 5*z - 3*z)*(2*z - z**2 - 2*z).\nAnswer: 343*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.11375?\nAnswer: 0.34125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from {e: 4, f: 3, b: 9, y: 1, c: 1}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 4*y = -3, 0 = -4*a - 17*y + 14*y - 29 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*p + 2. Let d(z) = z**3 - 14. Determine d(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0565+-183\nAnswer: -183.0565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4140*y + 33982 = -2833*y for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2.9, -0.5, -3\/5, 5 in ascending order.\nAnswer: -2, -3\/5, -0.5, 2.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3979350 and 825?\nAnswer: 43772850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 9:27 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 81*x**3 + 2*x**2 - 1. Let r be a(1). Let k be 6\/(-21) + r\/(-7). What is the tens digit of 2\/(-8) + (-663)\/k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + -4 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1517172 and 3680.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -5*d + 20. Let z be (0 + d)*1 - 2. Find the third derivative of -c**2 + c**z - 2*c**5 - 4*c**2 + 6*c**2 wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n - 20 - 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 926 + -82. Let u = -376 + q. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 314 - 276. Solve c = -13*x - 27 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406 - 12*f**3 + 13*f**3 + 208 + 228.\nAnswer: f**3 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(104\/(-65) + (-6)\/(-10)). Let o be 117\/27 - (g - -3). What is f in -2\/3 + 4\/3*f**5 + 4\/3*f + o*f**2 - 8\/3*f**3 - 2\/3*f**4 = 0?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*1\/(77\/113773) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**6\/120 - b**5\/12 + b**4\/6 + b**3\/2 + 3*b**2. Let f be x(4). Solve 0 = r + f*r + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 0*k - 1 + 0*k + 10*k. Let y be f(1). Suppose -3*m + 2*o = -11, -o - y = -2*m - 1. Solve m = -4*a + 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 2*p - 2. Let o be ((2\/(-2))\/(-2))\/(77\/308). Let d(t) = 0 - t + 1 + 0. Give o*h(x) + 4*d(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**3 + 2*q**2 - q - 7. Suppose -2*x = 11 - 1. Let a be i(x). Suppose 3*l + 60 - a = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 + -20.51237387682.\nAnswer: -20.42237387682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13570357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2104.343g in tonnes?\nAnswer: 0.002104343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132\/17 - -315\/34. Find h, given that s*h + 0 + 3\/2*h**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssl when three letters picked without replacement from sls?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 16*d**2 + 12 - 9.\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51346854 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1\/2))**(-15)*(v**(-1))**5)**(-36))**(-29) assuming v is positive.\nAnswer: v**(-28710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 2 - -4 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aararraaraara. What is prob of sequence rr?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3 - (538\/(-4))\/((-107)\/(-642))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*r**2 - 33*r**2 + 116*r**2 + 87*r + 188*r - 41*r**2.\nAnswer: -2*r**2 + 275*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.219 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-9) + (-1)\/45. Let y be 120\/(-792) - 2*(-1)\/6. Sort y, m, -2, 10.\nAnswer: -2, y, m, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -5 + -5 + 3 + 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/3)\/((-24)\/(-18))*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**2 - 19*r**2 + 305*r + 12*r**2 - 305*r.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbblblblbl. What is prob of sequence lb?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19623 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 106283650.\nAnswer: 42513460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 166. Suppose -5*j = 167 + 238. Let a = j + 81. Is k(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 37*r - 30. Suppose 103 = -9*x + 4. Let y(g) = -19*g + 15. Let v(l) = x*y(l) - 6*s(l). Is v(-5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 1 - 3. Suppose 0 = -0*f - f + x. Let n(h) = 2*h**f - 2 - 1 - 2. Let q(c) = 1. What is -n(u) - 5*q(u)?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -25. Let r(j) = -5*j**2 - 27*j - 3. Let s(h) = -h**2. Let k(g) = b*r(g) - 3*s(g). What are the prime factors of k(-11)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 8*z - 3. Let g be l(-6). Let s be 3 + 10 + 2 - -1. Let b = s - g. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 1. Let h be c(-3). Suppose 0 = -h*o + 9*o - 265. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-2)*40\/(1000\/15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*25\/75*3\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 15*q**2 + 30*q + 38. Calculate u(17).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -7. Let s be 0 + (-2)\/3*-3. What is the units digit of (-4)\/a + s\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 + 218*o - 315. Let s be y(53). Calculate the greatest common factor of 3180 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**6\/10 + 3*m**5\/20 + m**4\/2 - 31*m. Factor l(v).\nAnswer: -3*v**2*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26.7? (a) 5 (b) 9 (c) -3\/5 (d) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*t - 29*t - 14*t + 9.\nAnswer: 24*t + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31852404 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-6 - -6) + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 8 - 6)*(35 - 35 - 10*l)*(5 - 1 - 7).\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*i = 2888, -4*d - 4*i - i + 3874 = 0. Is 24 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3*g - 2*g + 26, -3*g + 22 = 5*c. Suppose -r + 18 = -2*f, 3*r + 4*f - 18 = -4. Calculate the smallest common multiple of -7*(-2)\/4*c and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/50)\/((4932\/1791960)\/((-1)\/1*-3)).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 22*a**2 - 1 + a - 3*a + a to q*a + b*a**2 + j and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 4*b. Suppose 0*y - 5*y + 55 = 0. Calculate the remainder when s(8) is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*k**3 + 82*k**3 - 191*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1857960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6)*-7*14\/49\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.22. Let g = r - -0.02. Do -0.3 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 39?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 293*a**2 - 1 - 6 - 295*a**2 + a to the form i*a**2 + o*a + l and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, w: 1, k: 12}. What is prob of picking 2 k?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 2*d**2 + 9*d + 1. Let a = 18 - 14. Is v(a) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1148136548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08528632 to four decimal places.\nAnswer: 0.0853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41856*i + 141*i**2 - 603*i**2 - 4*i**4 - 1 - 82988*i + 42070*i wrt i?\nAnswer: -48*i**2 - 924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*k - 6 = 0, 5*k - k - 16 = 0. Let j be 28\/(-15) + (3 - 1). Put h, j, 0 in ascending order.\nAnswer: 0, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - i - 11 = 0, -3*i = -4*g + 2*i + 23. Let x be (-10 + 11)*g*1. Suppose 0 = -x*z + 31 + 9. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400004 (base 6) in base 16?\nAnswer: -7984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 60208 times -3\nAnswer: -180624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 6:54 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z + 18. What is the tens digit of i(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -5*p - 10, 14*p = 10*p + 3*i - 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -723622 by -2.\nAnswer: 361811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -11.06. Let l = -0.991 + z. Round l to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1 - 1) + -27 + 31.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.56022 litres to millilitres.\nAnswer: 80560.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -0.3. Let p = -0.08 + 0.1. Let k = 0.12 - p. Which is the second smallest value? (a) u (b) k (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - -100101101010011000111?\nAnswer: 100101101010010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 20 = -4*a - 8, 5*b - 5 = -3*a. Suppose b*d + 2*p + 1 = -11, -3*p - 8 = d. Let x be d\/((0 + -1)\/2750). Round x to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 1100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1603, -6459, -14551, -25879, -40443, -58243, -79279?\nAnswer: -103551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1 + sqrt(5) - sqrt(5)) + -5)*-5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c - 14. Let k(j) = j + 13. Let z(g) = 3*k(g) + 2*o(g). Suppose -25 = -2*a - 3*a. Let m be z(a). Solve x + m = y, 5*y = x + 2*x + 22 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13197 and 83145499.\nAnswer: 4399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -13*c**3 + 9*c**2 + 9*c - 9. Let o(i) be the first derivative of -3*i**4\/2 + 4*i**3\/3 + 2*i**2 - 4*i + 1. What is 4*b(q) - 9*o(q)?\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 14 - 4 = 0. Suppose k*i = 5*i + 20. Suppose -i*f = -7*f + 57. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/8 + 1435\/(-700)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*a + 8. Suppose -8 = -b + 2. Suppose -a*c = 2 + b, 3*c = 4*t - 36. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = 5*r, 14 = -5*r + 5*p - 1. Suppose -426 + 151 = -2*h - 5*n, 3*h + 5*n - 415 = r. Calculate the highest common factor of h and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, -36, -0.4, -1\/5, -0.1?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.24 rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(392\/133))\/(2\/8).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000125242 rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3e65 (base 15) in base 11?\nAnswer: -a055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 10:09 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3847561*a. Let h(i) = -6*i**2. Give g(h(o)).\nAnswer: 23085366*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q - 106398 = 93483. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340*z + 3296 = -332*z. Suppose 410*n = z*n - 2. Which is the closest to -2? (a) -3 (b) n (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -11*a + 11. Let u be k(-6). Calculate the greatest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 5*n + 5*n)*(2*n**4 - 3*n**3 + 3*n**3 + (-3 + 3 - 2*n)*(-3*n**3 + n**3 + 3*n**3) + 4*n**4 - 3*n**4 - 3*n**4).\nAnswer: -12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -48*o**3 + 2*o**2 - o - 2. Suppose 2*w + 2 = 3*x, -5*w + 0*x - 3*x = -37. Suppose -4*m - w = -1. List the prime factors of a(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451301 is divided by 225533.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/21 - 38\/(-14). Suppose z*u + 3*w - 28 = -2*w, 2*u - 4*w = -18. Is (1\/(-4))\/(u\/(-12)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/25, -16, 4?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392 = 3*o - 11*o. Let r = o - -49. Determine p, given that 0*p + r - 1\/4*p**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -5. Let c(a) be the third derivative of -1\/30*a**5 + 0 - 1\/3*a**3 + 4*a**2 - 1\/12*a**4 + 0*a. Give c(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 2*m + 2*m + (0 - 1 + 2)*(-2 + 2 + 2*m) + 2*m + 12*m + 7*m + (-5 + 4 + 2)*(-2 + 2*m + 2) - 3*m + 2 - 2 as n*m + x and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -210 - 546*h**2 - 515*h**3 + 75*h**2 + 422 - 212 wrt h?\nAnswer: -3090","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2187 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3 = -2*z - 0*n, -z - 2*n - 3 = 0. Let r be ((-1)\/(-3))\/(z\/(-5)). Let g = -1549 - -1549. Which is the nearest to r? (a) g (b) -0.2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -13 - 13*l + l**2 - 5\/3*l**3 - 1\/4*l**4. Calculate the remainder when t(-6) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 52886 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: Expand (4*p**2 - p**5 - 2*p**5 + p**2)*(1 + 5 - 4).\nAnswer: -6*p**5 + 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 times -0.037?\nAnswer: 7.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*u**3 - 40*u**3 + 3*u**2 + 2*u**5 wrt u?\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**4\/3 + 3338*q**3 + 569580*q**2 - 1738800*q = 0.\nAnswer: -4830, -180, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -4*l + 3*p, p - 4 = -7. Suppose -4*k + 2*v - 6 = -0*k, -3*v = 3*k - 9. Let m be 2 + k + 175 + -1. Calculate the highest common factor of m and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 14967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + 63. Which is smaller: f or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -86731, -0.2, 1\/85 in decreasing order.\nAnswer: 1\/85, -0.2, -86731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 238 in 0.2, 1\/8, -11, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.282 - 1.682. Let u = 16 + -15.95. Which is the closest to 2\/3? (a) u (b) 0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -106174, -106374, -106574?\n\"Answer: -200*z - 105974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6457 or 6459?\nAnswer: 6459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/41)\/(l\/(l*l\/l**(5\/3))) assuming l is positive.\nAnswer: l**(-88\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 26\/3*u - 25\/3 - 1\/3*u**2 = 0. What is u?\nAnswer: 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8) + (-52)\/(-80). Let r = 2\/13 - -9\/26. Sort f, -2\/13, r in ascending order.\nAnswer: -2\/13, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3864181019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107717 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.25? (a) -6\/11 (b) -4\/3 (c) 5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61.00000101 + -61. What is l rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -46310\/8839 greater than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1051577 rounded to the nearest ten thousand?\nAnswer: -1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 7 + 4)*(c**2 + 3*c - 3*c)*(0 + 77 + 20 - 5)*(-5 - 3 + 1) in the form w*c**2 + f + p*c and give w.\nAnswer: -12880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28218927 is divided by 2821889?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 5691 - 353166 = 0. Is o 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 51833071?\nAnswer: 277, 187123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-9))\/((-130)\/5850)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2. Let q(g) = -g + 1. Let k(l) = -3*l - 1. Suppose -5*i = -p - 8, 0*p = -5*i - p + 2. Let u(n) = i*k(n) + q(n). Calculate u(c(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3172 + 5682. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -6) + -6 + 3. Suppose -5 = -w - d, -2*w + g*d - 8 = -4*d. Let t be 1 - (-4 + 3 - w). Which is the closest to 0? (a) t (b) -1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 1, m: 2, q: 1}. What is prob of picking 1 m and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-738)\/7190*(-164)\/12. Let r = -2\/719 + i. Factor -r*a + 8\/5*a**2 - 3\/5*a**3 + 2\/5.\nAnswer: -(a - 1)**2*(3*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - 6*z + 2. Let w be x(4). Let p be (-9 - -2)*(-60)\/7. What is the highest common factor of w and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 7*l - 8*l + 2502, 2*l = -4*o + 2504. List the prime factors of 2\/(-25) - (-782550)\/o.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*q - 719*q + 74*q + 1 - 479*q.\nAnswer: -1051*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*m - 51*m - 490 + 5062 = 143*m for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -4572 (b) -1 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-6))\/(50\/15 + -5). What is the closest to -0.2 in 2\/3, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -16 - -3) + -15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by (1 + 3 - 4) + 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 4, -2\/3, -9, -10, 4.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*q = 475*q - 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 181560944 greater than or equal to 181560944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00210793 to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x**3 + x**2 - 4*x. Suppose 0 = -3*c - 0*c + 6. What is the smallest common multiple of 6 and v(c)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37973447.\nAnswer: 397, 95651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 111010001 (base 2) to base 6\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1700) + sqrt(1700) + -1 + -1 + 6*(sqrt(1700) + -2)))**2.\nAnswer: -8960*sqrt(17) + 435984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 572023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3168, -3238, -3334, -3456, -3604, -3778?\n\"Answer: -13*j**2 - 31*j - 3124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33587.\nAnswer: 33587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 12174\/28141 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1870, 558, -752, -2060, -3366?\n\"Answer: o**2 - 1315*o + 3184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, r: 4, n: 3}. What is prob of picking 2 n and 1 y?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 207814 and 0.3?\nAnswer: 62344.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 878 + -911. Let w be 4\/(-6) + (-1903)\/t + 8. Solve -67*i = -w*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9001, 71991, 242951, 575863, 1124709?\n\"Answer: 8997*w**3 + 3*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53624576 (base 8) to base 16.\nAnswer: af297e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -64 - (-180 + 147).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20388 is divided by 969?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -11*r + 145. Let v be f(13). Solve -p = -1 - 0, -v*d + 5*p = 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xiuk when four letters picked without replacement from {x: 1, i: 1, k: 5, u: 3}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5714*f - 3. Let k be l(2). Suppose -8*x + 3*x = k. Let r = x - -1225. What is r rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 460 + 96*r + 5*r**2 + 388 - 4*r**2 + 3*r**2 - 528*r.\nAnswer: 4*(r - 106)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -20 + (-2 - (2 + -4)). Let k = 28 + n. Let v(u) = 4*u**2 - 1. What is the smallest common multiple of v(-1) and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1567 and -1570 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42950*j**4 + 3*j**3 + j**2 + 464188*j wrt j.\nAnswer: -515400*j**2 + 18*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(180)\/(sqrt(54)\/sqrt(6)))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*y + 2. Let i = 517 - 58. Suppose i = y*c - 289. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1598725094423\/275125533168 + 29\/36820869. Let y = -3\/1868 - m. What is the common denominator of -39\/20 and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = 3*o. Let d = o - -11. Differentiate -7*a**2 - 11*a + d + 11*a - a**2 wrt a.\nAnswer: -16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 3 (c) 32 (d) -7 (e) -14 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.031\nAnswer: -0.0124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 41170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5101018*k**5 + 443632*k - 23.\nAnswer: -102020360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 24, 16, 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p - 2*k + 34 = 0, 2*p = -3*k + 29. What is the highest common factor of 66 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531 a factor of 2480529585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -5, 0.4, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47183239937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 400734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*h + m - 854, h - 5*m = 186. Let z = 214 - h. Let a(x) = -2*x**3 - 3*x**2 - 4*x - 2. Let y be a(-2). Solve -z*l = 2*l + y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -10. What is the remainder when 68 + (-6)\/(-4)*4\/(-6) is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -16*x**3 + 68*x**2 - 10*x - 359. Let i(p) = -3*p**3 + 13*p**2 - 2*p - 72. Give 11*i(c) - 2*k(c).\nAnswer: -c**3 + 7*c**2 - 2*c - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 + 81. Calculate the lowest common multiple of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51028080 divided by -10?\nAnswer: -5102808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxlll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 13. Suppose -5*j + 5 = -3*g, -3*g = 2*g - 2*j + 2. Suppose 3*h - 5*h = g. Put h, -0.5, q in descending order.\nAnswer: q, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -31\/1231403?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 - 6 + 351*w**4 + 0 - 7*w + 0*w wrt w.\nAnswer: 4212*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*c = 13, -c - 3 = 3*u - 4*c. Suppose 3*a = 2*d + 434 - 84, -3*d - 345 = -3*a. Suppose -3*p = -27*p + a. Solve -p*m + u = -9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by 176.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 235560 and 6454344?\nAnswer: 32271720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1030091304 and 4262.\nAnswer: 4262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 8*l**2 - 12*l - 92. Give n(-7).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31.33 * 0.2.\nAnswer: 6.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)\/i*i\/i**5)\/(i**5\/i)**(-4\/23) assuming i is positive.\nAnswer: i**(-283\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 293.0721 - 0.0721. Let d = h - 293.01298. Round d to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1250)\/(-105) + -3*2*(-22)\/1386.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0 + 20 = 0. Calculate the common denominator of -76\/3 and (-5826)\/(-156) - (32\/(-52))\/x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 - -578405.01170197.\nAnswer: 578405.08170197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.396 - 0.104. Let z = 1.5 - b. What is the closest to 0.1 in z, -3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -673.78068738 and -24023.\nAnswer: -24696.78068738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 - 8*k**2 + 3*k**2. Let v(u) = 8*u**2 + 2*u - 2. Let w(l) = -9*l**2 - 3*l + 3. Let s(i) = 3*v(i) + 2*w(i). Give t(s(m)).\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.09106535272 and -4?\nAnswer: 4.09106535272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 805.8411.\nAnswer: 8.058411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*c + c - 1175, -x - 4*c - 255 = 0. Let j = x + 492. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.534005 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 h when three letters picked without replacement from {c: 2, h: 9}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.03295\nAnswer: -0.0659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/11 + -15\/22. Let f(m) = -m**2 - 3*m - m + m**3 - 4*m**2 - 8. Let i be f(6). Which is the closest to -0.3? (a) i (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 3*u = 7 - 6, 5*u - 15 = -5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-27) + (276\/16)\/((-864)\/256). Let b = -2 + 4. Let d be -1 + b + 0 + 2. Put d, 6, p in decreasing order.\nAnswer: 6, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*q - 307*q - 60109 = 414*q - 519 for q.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4992, 19997, 45004, 80013, 125024?\n\"Answer: 5001*l**2 + 2*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -557\/39511?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/2122 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 38.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 + -244. Let q = o - -151. Let n(v) be the third derivative of v**5\/60 + v**4\/4 + 5*v**3\/6 + 2*v**2. Calculate n(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**3 - 18*k**2 + 8*k + 8. Let t be (-14)\/3*(396\/(-24))\/11. Is g(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**5 - 95*d**4 + 409*d**3 + 1283*d**2 - 408*d - 1188 = 0.\nAnswer: -99, -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 8*o - 6. Let h be x(9). Let c = h - -1. Let v be (-52)\/(-9) - c\/(-18). Solve -v*z = -z + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -1586*f**4 - 133236*f**3 + 1147256*f**2 - 1742256*f - 13248 = 0.\nAnswer: -92, -6\/793, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2874331 is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 4*h. Let i(z) = -2*z**2 - 3*z. Suppose -2*g = 2*l - 6 + 22, 5*g - 5*l = 0. Give g*i(j) - 3*u(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 22. Let t(o) = 78*o**3 + 4*o**2 + o - 1. Is t(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**7\/3360 - m**6\/360 + m**5\/120 + 2*m**3\/3 + 4*m. Let d(y) be the second derivative of s(y). Factor d(w).\nAnswer: w*(w - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3691*b**3*m + 1247*b**3 - 41*b**2*m + b**2 - 5 wrt m.\nAnswer: 3691*b**3 - 41*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.3, 0.5, 192, 1\/9, -0.4 in descending order.\nAnswer: 192, 0.5, 0.3, 1\/9, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, 5, 343, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1113834 by -146.\nAnswer: 7629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -19 + 2*n**2 - 9 - 2*n - 12 + 37. Let a be u(3). Suppose 4*p - a*p + 10 = 0. Solve p*x = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*b + (1 - 1 + 2)*(-b + 4*b - 4*b) - 1 + 1 + b)*(0 + 0 - 15*b**3).\nAnswer: -30*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -n + 99, -2*u + 6*u = 12. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*w - 4*q, -2*w + 18 = 3*w + q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8280207 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133231037 and 1214?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 6:10 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -26*m**3 + 157*m**2 - 3*m - 14. Determine q(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -73\/4. Let f = 1 + -1. Suppose -5 = -4*l - b, f = 3*l - 5*b + 3*b + 10. Is l bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 + 15a?\nAnswer: 16c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1349 - -2910. Let w = -2862 + v. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -352*f*h**4 - 2*f*h**2 - 2*f*h + f - 91554*h**5 + 13*h**2 + 195*h - 98 wrt h.\nAnswer: -8448*f*h - 5493240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3903*a + 195153. Give g(50).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-1\/11))*x*x\/(x\/(x\/x**(2\/21))*x)*x**(1\/5)\/x*x\/x**0)\/(((x*x**(2\/5))\/x*(((x*x*x**(-5)*x)\/x)\/x)\/x)\/(x*x**6*x**(1\/16))) assuming x is positive.\nAnswer: x**(237619\/18480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81375?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 + -3.92. Let o = 0.5 - 0.6. Let u = o + -0.4. What is the third biggest value in u, b, -2\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -4*l**2 + 737456*l + 737460 = 0.\nAnswer: -1, 184365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (2 - -8) - (1 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 188 = 4*n + 173, -4*s - 8 = -2*n. Let a be (-16)\/(-6) - (-2)\/6. Let b be ((-4)\/6)\/((-43)\/a). Is s > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 451 and 1221?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1013 + 1012. Let y(t) = -8*t**3 - 2*t**2 + 2*t - 1. Let i be y(1). Let h(b) = -18*b. Let l(j) = j. What is i*l(z) + o*h(z)?\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k**(-4)*k)\/k*k\/((k*k**1)\/k))\/((k**0*k*k*k)\/k*k)**(-20) assuming k is positive.\nAnswer: k**59","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/156 and -25\/376?\nAnswer: 14664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-8)\/28 - 1\/7 - (-59792)\/73528).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 1, -5, -449.\nAnswer: -449, -5, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 - 5*q**2 - 91*q + 23*q + 68*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 9*r**3 - 4*r**2 - 4*r + 1. List the prime factors of v(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -725 + 723. Sort -10, 5, x, 6 in increasing order.\nAnswer: -10, x, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - r - 27 = 0, -4*u - 22 = -2*r - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*i**3 + 516235*i**2 - 516235*i**2.\nAnswer: -65*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/9))**(-25\/4))**43*(c**(-1))**(-1)\/((c*((c**(2\/3)*c)\/c)\/c)\/(c**(-2\/19)\/c)) assuming c is positive.\nAnswer: c**(-143503\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(28)\/sqrt(4) - sqrt(7)) + sqrt(7)) - (sqrt(7) + sqrt(847) + 1) - -3*(sqrt(28) - -2*-2*sqrt(28)))**2.\nAnswer: 56*sqrt(7) + 5489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7)*g**(4\/7)*g*((g**(-2\/7)*g)\/g)**(-8))\/((g**(-1))**(-27)*g**(2\/7)*(g*g**(-2)*g)\/g) assuming g is positive.\nAnswer: g**(-206\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*y - 1474 = 22*y + 80 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 7*g - 5. Let b(y) = y**3 - 5*y**2 - 9*y + 13. Let x be b(6). What is p(x)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009038 to seven dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 - 9.92. Let p = 7 + l. Which is the closest to 0? (a) p (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1116707 + 23?\nAnswer: -1116664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*x + 55 = 1, m = 5*x. Suppose -2*l = -6*l. Solve -2*f - 4*h = -l*h - m, 2*f + 15 = h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4250 and 6116500.\nAnswer: 103980500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g - 4. Let j(t) = t**3 - 6*t**2 + 7*t - 5. Let v be j(5). Let m(f) = -6*f + 3. Let c(d) = v*m(d) + 4*n(d). Calculate c(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22.0243 at most 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*r**2 - 439*r + 439*r - 111*r**3.\nAnswer: -111*r**3 - 71*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000069334 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 10*t**2 - 69*t - 636. Let o be f(-11). Solve -5*p + 6 = -2*z, -z + o*p + 18 = 20 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -70.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.5. Let v = 1.31 + -2.21. Let j = v + p. Which is the closest to -1\/2? (a) j (b) -0.2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/682 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*g - 46 - 184 = -97. What is the closest to 0.05 in 0.4, g, -1\/150?\nAnswer: -1\/150","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**5*o\/(o\/(o**(-7)*o)))\/(o**(1\/2)*o)**(-50)*((o**(3\/11)*o)\/(o\/((o**(4\/5)*o)\/o)*o))**(-41) assuming o is positive.\nAnswer: o**(3961\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*o = -179*o - 208*o - 784 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 343 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2166137221 to the nearest integer?\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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 t be (0 + -155)*26\/(-6)*-3. Let v = t - -64517\/32. Find the common denominator of -63\/5 and v.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5457 is divided by 1427?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.01, 1\/7, -2, -5, -13?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1793*l**5 - 995*l + 5 wrt l.\nAnswer: 35860*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4, -0.2, -0.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.559 - -24?\nAnswer: 153.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 312169265.5 to the nearest 1000000.\nAnswer: 312000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*a - 2*u, -24*a - u = -26*a - 14. List the prime factors of -971*(10 + a)\/(-3).\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + 18*g**2 + 0*g**2 + 0*g**2 + 2*g**2 + 0*g**2 + 0*g - 6*g**2 + 0*g + (4*g - 3*g + g)*(-g + 6*g - 3*g) + 0*g**2 - 2*g**2 - g**2.\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(156)\/sqrt(3) - sqrt(52))\/sqrt(4) - (0 + sqrt(13)*2)).\nAnswer: -2*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 151 - 144. Solve -b + 3 = 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3339590 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v**3 - 22*v**2 - 8*v - 3. Let b(y) = 7*y**3 + 21*y**2 + 6*y + 2. Let n(x) = -4*b(x) - 3*t(x). Find the third derivative of n(z) wrt z.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -11 + 6 - -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1481 + -1471. Let q be -1 - 17\/2*2. Calculate the lowest common multiple of c and (-1)\/((-34)\/q + -2).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231273.\nAnswer: 3, 7, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 16. Let s be 1*(-5)\/(-1) - t. Let k be (-9)\/(-6)*(-4)\/(-2). Solve 1 = 4*q - f - s, 2 = k*q + 4*f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -2 - (-3 + 0). Suppose m - 5*y - 220 = -4*m, -2*m - 3*y + 88 = 0. Suppose 8 = w*j - m. Calculate the remainder when j is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 4*g**2 - 5*g**2)*(-48 + 10*g + 48) + (6*g**2 - 2*g**2 - 2*g**2)*(-3*g - g + 3*g).\nAnswer: -52*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 121 (c) 0.06015 (d) 56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-3) - -1) + 0. Suppose 4*q + 3*b - 6*b + 1 = 0, 5*q - t*b = 4. Factor -q + 2*f**2 + 2*f**3 - 2 + 4.\nAnswer: 2*f**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = -u. Suppose 120 = 10*h - u*h. What is the remainder when 28 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-10) + 5 + (-65)\/25?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-216)\/(-2565)*5\/4.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36 + -5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.14206 to 3 dps.\nAnswer: -1.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 509700408 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297 and 85452543.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 18. Let d = 0.5 - -2.5. Let x(l) = l + 7. Let a be x(-5). Sort a, d, g in decreasing order.\nAnswer: d, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1122 + 35667. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 942 - 913. Calculate the remainder when 603 is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12121 (base 3) to base 8\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-75)\/18))\/(25\/((-9750)\/(-26)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + 1 + sqrt(2) + sqrt(14)\/(sqrt(7) - sqrt(63) - sqrt(7)))*-5*-2.\nAnswer: 20*sqrt(2)\/3 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 6096 in descending order.\nAnswer: 6096, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 a factor of 167608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5050 and 184277530?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 11. What is the third derivative of -3*x**4 + 4*x**2 + q*x**6 + 3*x**4 - 7*x**6 wrt x?\nAnswer: -480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 + -1ca?\nAnswer: -1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.011 - -10.489. Let y = 7 + -17. Let u = y + k. Which is the third biggest value? (a) -0.5 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 smaller than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2. Let m(x) = 2412*x**2. What is m(i(v))?\nAnswer: 21708*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 4053?\nAnswer: 4051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 7\/6*d**3 + 0*d + 1\/3*d**4 + 6*d**2 + 0. What are the prime factors of g(8)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1060 divided by -265\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.075 (b) -0.15 (c) 3.8 (d) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.10279211700724 from -9.\nAnswer: -9.10279211700724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -10a27903?\nAnswer: 10a27905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*h - 4*u, 8 = -3*u + 2. Let g be h\/198*(-7)\/(14\/(-8)). Factor 0 - 2\/11*x**3 + g*x**4 + 0*x - 4\/11*x**2.\nAnswer: 2*x**2*(x - 2)*(x + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -159 + 404. 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: Simplify (g**(-2\/31)\/g)\/(g**(-16\/7)\/g) assuming g is positive.\nAnswer: g**(482\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + -0.3. Let q = 0.3 + a. Let m = 103 + -101. Sort m, q, 1 in decreasing order.\nAnswer: m, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000843805653 to seven decimal places.\nAnswer: -0.0008438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 q, and 2 j when four letters picked without replacement from {f: 2, g: 1, j: 3, n: 6, q: 3}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -20. Let r = -5 + n. Which is the third smallest value? (a) 2 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 116?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -75.242954 - -25\nAnswer: -50.242954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -184*q**5 + 41*q**4 + 2*q**2 - q - 233?\nAnswer: -11040*q**2 + 984*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 160*t**3 + 35928*t**2 - 369*t + 56171.\nAnswer: 960*t + 71856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 487310 (base 13) to base 2.\nAnswer: 110100110010000010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*a**3 - 101*a**3 + 62*a**3.\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*4*(-6)\/4. Let f = v - 13. Suppose 28 = f*u - 107. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, -11, 4, 0.73, -1, -21?\nAnswer: 0.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 6:06 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 3, l: 17}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**2 - 18*k - 728. What is r(-10)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 + 3\/4. Let r = -2.4 - -2.59. Let s = r + -0.19. Are s and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 212*x**2 + 428.\nAnswer: 424*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0 + 8 = 0. Let n be 69\/15 - m\/5. Suppose -n*x - 2*d + 29 = d, x = -4*d + 16. Calculate the greatest common factor of x and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3 + 61684*y**2 - 493399*y - 555084 = 0. Calculate y.\nAnswer: -1, 9, 61676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1\/((-5)\/(-123 + -2)) and 20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.29 - -4.2901321. Round g to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 15.76. Let u = v - 74.76. Let r = u - -70. What is the closest to 2\/3 in 0, r, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**7\/126 - j**6\/30 + j**5\/30 - 77*j. Factor b(d).\nAnswer: d**3*(d - 2)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 times 48\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -30 + 29 + 63*g**2 - 32. Let p(b) = 8*b**2 - 4. Determine -33*p(i) + 4*u(i).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6312950 or 6312949?\nAnswer: 6312950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 - 3*c**3 - 118*c**4 + 61*c**4 + 2*c**3 + 23 + 58*c**4 to the form a*c**2 + z + b*c**4 + x*c + u*c**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3076.5 * 1.94.\nAnswer: -5968.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -73733452 divided by 36556\nAnswer: -2017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -4999*m**2\/2 + 418. Let x(h) = 2*h**2. What is b(x(u))?\nAnswer: -9998*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 59069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*3)\/(sqrt(36) - (sqrt(2304) - sqrt(36)) - sqrt(36)).\nAnswer: -4*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/5))**(-2\/7) assuming z is positive.\nAnswer: z**(-8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -696, -2880, -6556, -11724?\n\"Answer: -746*g**2 + 54*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -12 - 79)\/(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 245 = 273. Suppose 3*b - 104*c - 22 = -106*c, -22 = -5*b + k*c. Solve 16 = 5*s + 2*q, -3*s - q - b = -15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5 - 2*h + 5 + (-h - 1 + 1)*(-1 - 1 + 4) + 0*h + 0*h - h + 0*h - 2*h + 4*h - 3*h + 2 - 2 to the form z*h + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 517572.\nAnswer: 2070288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17493)\/(-28) + -6*4\/6. Let a = 621 - o. Suppose a*w**2 - 1\/4 + 0*w = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100 - -11111100111?\nAnswer: 11110111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12)\/(-9) + -2)\/((-2)\/303).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*g = -6*g - 54, -56 = -3*k + 2*g. What is the lowest common multiple of 10 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = x - 6*x. Let s(p) = 5*p**2 - 3*p + 0*p + 3 - p**x. Suppose 0 = -4*r + 2*n + 4, -3 = -3*r - 4*n + 11. Give s(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -1 + 21. Let a be (-6)\/27 + 310\/18. Suppose g + y - 6*y - a = 0, 3*g = 3*y + 15. Solve -3*c = -g*p + q + 4, 5 = c + 2*p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 3 - 8 - 3.\nAnswer: -x - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64\/5 + -13. Let w be 69\/(-115) - 2\/5. Let s be 1\/(-2) - 7\/(-22). What is the nearest to w in s, h, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o - 17. Let r be w(-10). Suppose r = s + 10. Let x(u) = 5*u + 5. Let c(t) = -4*t - 2 + 0*t - 2. Calculate s*x(h) + 4*c(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 171964044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8 and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**2 + 12562615*z + 150750660 = 0. What is z?\nAnswer: -2512511, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-60) - 1\/40?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542556651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-9) - 57\/(-135). What is the third smallest value in 3\/2, s, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + u + 1. Determine n(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(-1 - (-46)\/40). Put -3, n, -1\/6 in ascending order.\nAnswer: -3, -1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2004 - 1997. Suppose 0 = -5*i - 4 + 19. Suppose z - 5*f + q = 0, i*f + 7 = 19. What is the highest common factor of z and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3024 + 1516 - 106*h - 2*h**2 + 1510)*(0 + 3 - 1)*(-1 + 2 + 0) as c*h + z + o*h**2 and give c.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1997*c**2 - 2221*c**2 + c + 2*c - 3*c)*(-c**2 + 4*c**2 + 0*c**2).\nAnswer: -12654*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 369 = -3*g, 0 = -4*o - 5*g + 42 + 446. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-84)\/(-10) - 40\/100) + 20441?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 21 (c) 1 (d) 38 (e) 10 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-85)\/(-60) + 4\/(-6). Solve -4*b - s - 3 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -25188, 2, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 20 = 0, 4*y = 30*t - 32*t + 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 670 by -6.\nAnswer: -335\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1, -17, -43, -85, -149, -241, -367?\n\"Answer: -t**3 + t**2 - 12*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207 = 6*b + 279 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -2*t + 46, -2*t - 9 = -3*l + 3*t for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-10)*d)\/(d**(-8)*d*d*d))\/((d*d**(-1\/3))\/d)**(-12) assuming d is positive.\nAnswer: d**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 777777?\nAnswer: 3, 7, 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.2. Let n be (-3)\/(-1) - (7 + -6). Suppose 2*h + n = -4*p, -h = 3*p - 0*p. Which is smaller: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2500.264 grams?\nAnswer: 2500264000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-6)*((-140)\/25 - -2). Solve 3*g - h - 3 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 217 + -216.61. Round t to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 11:55 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 16. Let d(b) = b**3 + 8*b**2 + b + 7. Let x be d(w). Which is smaller: x or 2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gyt when three letters picked without replacement from pyssssgt?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 48*a + 20, 0 = 2*y - 18*a + 16*a - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07430505 and -0.18.\nAnswer: -0.013374909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*37.\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -140 + 298. Let m(k) be the second derivative of k**5\/20 + k**4\/12 + k**3\/3 + 2*k**2 - k + 7. Calculate the lowest common multiple of m(0) and b.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 101040 and 26636670?\nAnswer: 213093360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2. Let z(i) be the third derivative of 11*i**5\/30 - 14*i**2. Determine b(z(l)).\nAnswer: -1452*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69347.43 kilograms to grams.\nAnswer: 69347430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 + -74. Sort -0.4, u, 3, 2\/9 in increasing order.\nAnswer: u, -0.4, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**5\/30 + 9*d**4\/4 - 28*d**3\/9 - 9*d**2\/2 + 55*d\/6 + 5664. Factor v(f).\nAnswer: (f - 1)**2*(f + 1)*(f + 55)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/2 - 32814*m**2 - 179459766*m.\nAnswer: -3*m*(m + 10938)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 2388.\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7ca47 (base 13) to base 12\nAnswer: abb74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, y: 8, l: 7}. What is prob of picking 1 j and 2 y?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1898431375.9 to the nearest 1000000.\nAnswer: 1898000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + 2 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*f**3*k**2 + 29*f**3 + 5*f**2*k**2 + 774*f*k**2 - 9*k**2 wrt f?\nAnswer: 144*f*k**2 + 174*f + 10*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z = -295783 + 962030. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 456\/(-608)*3\/((-540)\/32). Which is the nearest to -1.5? (a) -3 (b) -0.5 (c) -1\/3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 = 0, -21 = -5*a - 10*w + 7*w. Suppose -a*f + 5*x + 139 = 0, x = f + 4*x - 37. Is 43 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -26. Find q, given that 5*q**5 - j*q**3 - 2*q**5 - q**5 + 0*q**5 + 2*q = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1113, -2625, -5135, -8643, -13149?\n\"Answer: -499*f**2 - 15*f - 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.1 - -2. Let q = 1089\/4 - 62041\/228. Let t = q + 10\/19. What is the nearest to t in 0.8, b, 2\/11?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.8 - -124.2. Let n = 130.00068 - u. Round n to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 - 10*i**3 + 2*i**4 + 8*i**3 - 8*i**3 + 23*i**3 + i in the form h*i**2 + r*i**4 + d*i**3 + s + y*i and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -108, -53, 6, 69, 136?\n\"Answer: 2*h**2 + 49*h - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 1 = -n, -n + 13 = -2*n + k. Let j = 11 + n. Solve j*x = -x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 360276*s**3*t**4 + 7*s**3*t**2 + 14939*s**3 + 5*t**4 wrt t?\nAnswer: 8646624*s**3*t + 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17867 divided by -7?\nAnswer: 17867\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9883\/3 equal to 0.0131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n - 3. Let p be o(-7). Is -15 - p - (-1*234)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2, 2\/391?\nAnswer: 2\/391","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -4. Let i(o) = -2*o**3 - 3*o**2 - 2*o - 4. Let s be i(-2). Suppose 0 = 4*m - m - b - 4, -4*m + b = -s. Put -3, m, g in ascending order.\nAnswer: g, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*g**2 - 4*g + 4*g + 2*g**3.\nAnswer: 2*g**3 - 233*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24731\/195 - 2207\/15. Is w < -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8379*y - 8724*y + 1380 = 0. Let -3\/8*p**y + 15\/4*p - 9\/2*p**2 + 9\/4*p**3 - 9\/8 = 0. What is p?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*q**2 + 23*q**3 + 8*q**3 - 38*q**3 - 4*q + 33*q**3 as x*q**3 + a + v*q**2 + s*q and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2075.622cm to nanometers.\nAnswer: 20756220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2013\/8723*7\/(-3)?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.7 - -5.7. What is the smallest value in -5\/2, -0.5, -1\/5, w?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4364158232.4 and 0.069.\nAnswer: 4364158232.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2336*z + 172074 - 29578 = 0 for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 + 20*b - 20 + (3 - 2 - 2)*(4*b - 2*b - b) + 0*b + 2*b - 4*b - 29 + 29 + 13*b.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 8 - 2)*(2 - 5 + 4 + (-3 + 4 - 3)*(4 - 2 + 2))*(-2 + 0 + 0)*(8*t - 8*t - t**2) as l*t + d + w*t**2 and give w.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + l + 14. Determine h(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115173 and 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 17*m**2 - 2*m - 17. Let w be u(16). Suppose -11*g + 5*g + 564 = 0. Let v = w - g. List the prime factors of v.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r + 568. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 24*t**2 + 8*t - 11*t**2 - t + 68*t**2.\nAnswer: 33*t**2 + 7*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owoogttgwwootoqgoot. What is prob of sequence gqw?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2250, -4304, -6368, -8442, -10526?\n\"Answer: -5*r**2 - 2039*r - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246410, 492837, 739266, 985697, 1232130, 1478565?\nAnswer: 1725002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 2. Let s be u(9). Let m be (-183)\/(-6) - (18\/(-12) + 1). Solve m = 5*f + s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19\/2*b + 0 + 1\/2*b**2 = 0.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 3*y**2 + y - 4. Let r be j(-3). Let z = -4 - r. Let o(v) = -v**3 + 6 + v**3 - v**z - 5*v + 6*v**2. What is o(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 219282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2. Suppose -3*k + 1 = -14. Suppose 0 = 4*w - v - 776, k*w = v - 2*v + 979. Let s(h) = -w + 7*h**2 + 195. Determine s(d(n)).\nAnswer: 28*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1255*j**4 + 1256*j**4 + 3 + 30*j - 12*j**3 + 16*j**3 to the form z*j + g*j**3 + x*j**4 + l*j**2 + y and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2699 = -327*l - 2697 - 11774 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 2*b = 0. Let t be 40\/10 - (b + -1). Suppose 12\/7*z - 4\/7*z**3 - 16\/7*z**2 - 2\/7 - 8\/7*z**t + 18\/7*z**4 = 0. Calculate z.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 8. Let g be f(-7). What is the second smallest value in 1, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196063064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.617683ml?\nAnswer: 0.004617683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-11 - 5) - -6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfaq when four letters picked without replacement from {q: 5, m: 6, s: 5, f: 3, a: 1}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 2. Let v = -275 - -278. Solve v*k = r + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/20 of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/779805 and -20\/1419?\nAnswer: 8577855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89\/4 - 437\/20. Suppose -2*t = -4*b - 16, 2*b = 5*t - 4 - 4. Solve 4\/5*g**2 + 0 - s*g**5 + t*g - 2*g**3 + 8\/5*g**4 = 0 for g.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -70\/31 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 2. Let q be d(5). Let x be 5*(-6)\/q - 4. Is x != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - o - 19. Give v(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1985*p**2 + 3090?\nAnswer: 3970*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 15. Let b be k(-7). What is the units digit of 220\/b*12\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -1395930?\nAnswer: 1\/697965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (698*s**2 - 600*s**2 - 487*s**2)*(8*s + 2*s + 4*s).\nAnswer: -5446*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69687 divided by -27.\nAnswer: 2581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.41234 nanoseconds to weeks.\nAnswer: 0.00000000000009658125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/5 - 1164*a**2\/5 - 10658*a\/5 + 2364.\nAnswer: 2*(a - 591)*(a - 1)*(a + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 727031 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 + -78. Solve p = -0*q - 2*q - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.08 (b) -42 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 520736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19626*t + 4896*t + 4918*t + 4905*t + 4921*t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3)**(-3\/32)\/(o**(3\/2)\/(o*o**7)) assuming o is positive.\nAnswer: o**(199\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189901?\nAnswer: 189901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 28 = 5*n - 88, n - 4*q + 10 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 10*s - 4. Suppose -7 = 11*y - 128. What is n(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -22\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 904.116 decades in centuries?\nAnswer: 90.4116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 32*a**2 + 133*a - 208. Let f be p(-26). Calculate the highest common divisor of f and 650.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 6\/15)*(-10)\/(-4). Suppose -1 = -2*a - 5. Let y = a - -6. What is the greatest common factor of t and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 7:17 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -560431000 to the nearest one million.\nAnswer: -560000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((4\/8)\/1)\/(1 + 7\/(-28)). Let t(j) be the first derivative of n*j**3 + 1\/2*j**4 - 14 + 3\/2*j**2 - 3*j. What is t(2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*x = -0*x + 22, 3*d + 13 = 2*x. Let u = -64.84 - -66.84. What is the smallest value in d, -1, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -759843 divided by -23?\nAnswer: 759843\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l**3 - 2*l. Let x be m(2). Suppose -5*y + 24 = -x. Suppose 0 + y = a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + 4*a**3 - 3*a**3 + (-a - 2*a - 2*a)*(-2*a**2 + 2*a**2 + 4*a**2).\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -1 (b) -4\/36957 (c) -75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18446861441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 56 - 4366. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) -0.1 (c) -424\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*k + 105, -2*g = 2*g - 5*k - 140. What is the lowest common multiple of g and 360?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u + 13*u = 90. Suppose 429 = u*m - 4*s, -93*s + 92*s = -3*m + 429. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/30)\/(102\/85)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -794, 2, -1527 in increasing order.\nAnswer: -1527, -794, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8463 - 4062. Suppose a + 22899 = -3*m. Round m to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5940, 5942, 5944?\n\"Answer: 2*n + 5938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-1) - -2) + 31. Suppose -11*q + 33 = -s. Solve 4*t + 19 + 1 = 2*o, -3*o + q = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/2)\/(4 - 3). Let d = 7 + m. What is the remainder when 22 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9228?\nAnswer: 2, 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 6*j. Let w be u(5). Suppose -o = -w*o - 40. Is ((-402)\/o)\/((-3)\/(-15)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - d**2 - 6*d - 5. Let j be f(-5). Suppose 5*w = j + 20. Let b = w - 3. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l - 2*l - 5*l + 5*l. Let s(u) be the third derivative of 19*u**5\/30 - u**4\/24 - 7*u**2 + 1. Calculate s(a(k)).\nAnswer: 342*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007585 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 n when three letters picked without replacement from {n: 3, h: 5, v: 8}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 0.6?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s = -3*y + 16, 2*y + 4*s - 24 = 0. Solve 4*a - i - 1 = -18, 0 = 3*a + i + y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 + (-4 - 343\/14))*(-40)\/(-175).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -406, -2901, -9594, -22585, -43974, -75861, -120346?\nAnswer: -179529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 473445362?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34799253 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/24*(-15)\/50)\/((-16)\/(-16))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/60 + 5*b**4\/24 + b**3\/6 - 9*b**2. Calculate j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111424 is divided by 44?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*g**3 + 6*g**3 - 7*g**3)*(-2 + 5 - 1)*(6 + 5 - 2) to j*g**3 + r*g**2 + w + o*g and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -62*w - 15. Is h(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -d + 16, -4*d - 4*i + 49 = -3*i. Let h be (3\/(-3))\/(-3 + d). What is the third biggest value in h, 5, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 13*c + 50. Let q be h(-4). Let i(x) = 3*x - 2. Calculate i(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a meter in millimeters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 18*u + 16. Let y(k) = -18*k - 16. Let s(m) = -2*x(m) - 3*y(m). What is the first derivative of s(g) wrt g?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15179 = -3*r - 15503 + 64647. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 5. Let a be j(4). Let d = 2 - a. Solve -d*p + 0 = -3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2980 + 2977. Let z = 2.5 + -7.5. Let r = 2 - -1. What is the third smallest value in r, -0.6, z, o?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 15229*a + 2*a**2 + 527 - 15229*a. Let r(i) = 2*i. Calculate p(r(w)).\nAnswer: 8*w**2 + 527","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.4, 0.1, -127?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 24 = -31. Suppose -42 = -2*d - 4*q, i*q + 54 = 4*d + 9*q. Solve -d*c + 12 = -10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 + 130\/((-7540)\/1218).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9272 divided by 2.\nAnswer: 4636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 757896.1 decades?\nAnswer: 90947532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 245 = a - 436, 4*j = -3*a - 1387. Let y = j - -489. Suppose -2*k = 2*x - y, -x - 3*k + 70 = k. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5 + 1 = 0. Suppose -3 = c - 4*c. Let v(j) = j**2 + 2*j + 2. Let h(r) = -r**2 + 1. Determine c*h(b) + q*v(b).\nAnswer: -2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/150*(11 + -1)*342\/2584. Which is the closest to 7? (a) -0.2 (b) -3 (c) h (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 5, 4, 2\/13, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -237\/2 or -0.026?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 2*l = -10*q + 100, 0 = 4*l + 8. Let m(z) = -3*z + 105. Give m(q).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 179 = 131. Let p(t) = 41*t - c*t - 13*t - 15*t. Let w(i) = 62*i. What is p(w(o))?\nAnswer: 62*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1227 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -1054, -3860, -9338, -18382?\nAnswer: -31886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -4*r**7\/105 - r**4\/12 + 7*r**2. Find the second derivative of d(j) wrt j.\nAnswer: -96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2432 + 2433 + (-6 - -2)\/((-2)\/(-4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 3\/40*b**5 - 9\/16*b**2 + 56 - 3\/4*b + 9\/32*b**4 + 1\/8*b**3. Factor g(z).\nAnswer: 3*(z - 1)*(z + 1)**2*(z + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3931 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2545 is divided by 2526?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.2 and -1.092.\nAnswer: -2.4024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -64. Sort 0, x, 6, 3.\nAnswer: 0, 3, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5178 and 1830?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -110?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 279499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rckblbb. Give prob of sequence lkr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -9*t**3 + 33*t**2 - 9*t + 40. What is the units digit of q(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggssgsg. What is prob of sequence gs?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (-28)\/(-1 + 5)*-1. Let h(y) = -2*y**2 - 4*y - 1. Calculate h(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 42 = 2. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.05, 0.16, 0.06 in descending order.\nAnswer: 0.16, 0.06, 0.05, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-4884) - (-12)\/(-222).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -254 (base 7) in base 6?\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-64 + 8 - 111)*(4*o + 0*o - 2*o)*((1 - 1 - 2)*(1 - 3 + 3) - 1 + 1 + 14) to the form p*o + j and give p.\nAnswer: -4008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -1. Let w = -3 - h. Find the common denominator of -14 and (-2 - w) + (-390)\/24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 74*s**3 - 6*s**2 + 9*s + 4. Let a be 3*2\/27 + 4250\/153. Let t be j(a). What is t rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2797*l**3 - 5896*l**2 wrt l.\nAnswer: 16782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000069236 rounded to six decimal places?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2704 and 806312.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11830 is divided by 5907.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + (3 + sqrt(180))*1)*-2)**2.\nAnswer: 864*sqrt(5) + 6624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 886 a factor of 128626822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 + 756*r**3 - 3068*r**2 + 3852*r - 1544.\nAnswer: 4*(r - 2)*(r - 1)**2*(r + 193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, -1\/3, -2, -2459, -2\/47?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 0*c + 2*c + c. Suppose -m - 3*m = -3*i - 15, -3*i + 9 = 4*m. Let f(p) = 0*p + p + p + m*p. Determine f(t(l)).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 8*t + 1. Let m be y(6). Suppose 0*q - 20 = -4*q. Let j be q + (-8)\/((-12)\/(-3)). Solve -2*d - 9 = -5*d + j*s, -4*s = d - m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 774587\/907 or 855?\nAnswer: 855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 3*y**2 - 2*y**2 + 1 - 1 - 3 + 3 - 2*y**2 + (y - 2 + 2)*(0 - 2*y + 0) + 2*y**2 + 0*y + 0*y.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3825 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -46*x + 2394. Let y be f(52). Let p(a) be the first derivative of 16*a + 19\/2*a**y + 15. Differentiate p(l) wrt l.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 218 - 217. What is the closest to -0.1 in -191, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, y: 4, j: 4, d: 1}. What is prob of sequence jy?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u + 117. Let z(a) = -58. Give -4*g(h) - 10*z(h).\nAnswer: -16*h + 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -12 + 7 - (-2 - (-8 + 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 13*f - 19. Let s(j) = 2*j - 2. What is 3*k(a) - 21*s(a)?\nAnswer: -3*a - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2608 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -587*a - 42331. What is v(-72)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/8*120014\/(-7827).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.25410034 rounded to 3 decimal places?\nAnswer: 11.254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/9)*j)**(-1\/24)\/(j**8\/j*j**9\/j)*((j\/(j*j\/(j*j**(3\/2))))\/(j*j\/j**(-2\/9)))\/(j**(1\/8)\/(j*j**(1\/9))) assuming j is positive.\nAnswer: j**(-1595\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -19*h - 60. Is a(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3201, 12841, 28899, 51369, 80245, 115521, 157191, 205249?\nAnswer: 259689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 36, 55576, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*o = 2*q, -3*o = 3*q - 3. Suppose -3*w = -q, 0*w + 15 = 4*c - 5*w. Solve -12 = c*v - v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 + 70. Let r = 310 - v. Are r and 155 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1332607, 5330431, 11993473, 21321739, 33315235, 47973967, 65297941?\n\"Answer: k**3 + 1332603*k**2 + 8*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -1. Let i(w) = -7*w. Let j(s) be the third derivative of s**4\/8 + s**2 - 75. Let v(o) = h*j(o) - 2*i(o). Let c(m) = -2*m**2. What is v(c(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9*v - 17. Let f(w) = -2 + 82*w**2 - 128*w**2 + 44*w**2 + 2. What is c(f(k))?\nAnswer: -18*k**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*y = 937303 - 408277 + 705024. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 33*n**2 - 67*n**2.\nAnswer: -35*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10\/51 - -332\/1173. Sort v, 5, 14, -1\/2 in descending order.\nAnswer: 14, 5, v, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/875)\/(4*45\/(-2100)).\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*u**2 - 3*u - u**3 + 4*u - 14*u**2 to the form k*u + d + q*u**3 + l*u**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 + 136 = -3*f - 3*d, -2*f - 4 = -4*d. Solve t - 2*x = f*x - 9, -12 = -4*x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(2\/11)))\/u**(-4)*u**(-10)*u**8)**(-3\/19) assuming u is positive.\nAnswer: u**(-60\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 1212201*m**2\/4 - 225705*m\/2 + 42025\/4 = 0.\nAnswer: 205\/1101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-29)*z*z)**(11\/5)\/(z**25)**(1\/11) assuming z is positive.\nAnswer: z**(-3271\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 0.2, 2\/9, 167 in increasing order.\nAnswer: -1\/5, 0.2, 2\/9, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1144 + 830 + 188 = -94*r for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*z - 164*z + 2*x - 31 = 0, -25 = 5*z - 2*x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1937.849t in milligrams?\nAnswer: 1937849000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4424*o**2 - 1268*o + 3 wrt o.\nAnswer: -8848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 37 = 103. Let p be -2 + (-187)\/(-2) + 5\/10. Let v = p - w. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, l: 4, i: 1, n: 1, z: 2}. What is prob of sequence znze?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56975646 divided by -2.\nAnswer: -28487823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -217*o**3 - 4*o**2 - 6*o - 1. Let l(r) = 216*r**3 + 3*r**2 + 4*r + 1. What is -4*l(g) - 3*x(g)?\nAnswer: -213*g**3 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.233 - 0.333. What is the nearest to -2 in 3\/7, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -396*c + 393*c - 4, -3*c + 3*l = -12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 6. Let p(g) = g - 2 - g**3 + 0*g - 6*g**m - 6*g. Let d be p(-5). Is d less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = -20*l + 144 - 339 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, 14, -1.9, 3\/4 in descending order.\nAnswer: 14, 3, 3\/4, -1.9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, -1\/8097, -5 in decreasing order.\nAnswer: -1\/8097, -1\/10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/(-147)*9\/(-2)*-84. Let l(r) = r**2. Let m be l(2). Suppose -t = -c + m*c. What is c rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 894?\nAnswer: -890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*b - 1 = 7, -u - 4*b + 2 = 0. Let c(t) = 16*t - 9*t - 2*t**u - 7*t. Let k(y) = -9*y**2. Give c(k(h)).\nAnswer: -162*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - 1 - (-16 + 15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k = -6. Suppose -k*u = 2*u - 265. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00758287397 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 461 = -4*f, 248 = 2*f + 5*k - k. Let t = 139 - f. What is the greatest common factor of 275 and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 229*n**4\/8 + 525*n**3\/2 - 33*n**2 + 3. Find the first derivative of q(h) wrt h.\nAnswer: 687","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6400214.\nAnswer: 2, 103, 31069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 304634455 to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c + 23752 = 116883 + 30613. What are the prime factors of c?\nAnswer: 3, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 69, 145, 251, 387?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((5\/(-5))\/(2\/14)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*h = -26, 2*h + 23 = 4*p + 3*h. Let w(k) = 6*k**3 + 2*k**2 + 12*k - 1. Is w(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = g - 2, g - 2 = -2*v - 0. Suppose 0 = 5*k - v*k + 20. Let n be (-1)\/k + (-22)\/24. Are 0 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198\/(-20) - (-600)\/60.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 341891 and 1925.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from grrggg.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*l + 357*l - 620 = 55*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-332)\/(-16))\/(130\/3432*22*(-9)\/(-30))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 16. Let n = -45 - -48. Suppose 8 + 16 = -n*d. What is the units digit of y(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/9)\/((-1)\/(-27)). Let f be ((-3)\/g)\/(2\/(-24)). Suppose k - 3 = 4*d, f*k + d = -2*d + 88. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -8*o**2. Let n(s) = -s**2. Let d(i) = f(i) - 3*n(i). Let p(y) = 0*y**2 + 4*y**2 - y**2. Determine p(d(w)).\nAnswer: 75*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 5:54 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1555, -1550, -1545, -1540?\nAnswer: -1535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31.75 * 0.033786.\nAnswer: 1.0727055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**3\/5 + 63378*h**2 + 633772*h\/5 = 0.\nAnswer: -158443, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 91*w**2 - 102*w + 15. Let l(j) = -13*j**2 + 15*j - 2. Calculate 15*l(y) + 2*o(y).\nAnswer: -13*y**2 + 21*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20317\/13 - -1563. Which is the closest to -8? (a) d (b) -1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2*r = -2*r - 5, -5*d + 2*r - 11 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 5 = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - 111000001101101111?\nAnswer: -111000001101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -992 - -1985\/2. What is the closest to 17 in 0.4, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooonkuuouu. What is prob of sequence ku?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 25. Let z(w) = w + 9. Let q be z(d). Let f be q\/(-2 - 2) - -6. Calculate the highest common divisor of 48 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**1*t)\/t))**7 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, b: 2, w: 7}. Give prob of picking 1 w, 1 b, and 2 c.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l**2 - 2. Let i be u(2). Suppose -3*x = -4*h + i, h = 2*x + 2*x + 14. Suppose -a = -3*g - h, -18 = -3*a - 4*g + g. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4525 and 475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 11*m - 26. Let b be v(-7). Suppose -15 = -3*o - 0*o - 2*t, -3*t + 10 = b*o. Solve 17*j**5 - 5*j**2 + 15*j**4 - 38*j**5 + 31*j**o = 0 for j.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6513, -6443, -6253, -5883, -5273, -4363, -3093?\n\"Answer: 10*p**3 - 6523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10012010 (base 3) to base 12\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114253541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((-16)\/(-22)) + -2. What is the closest to 1 in 3, 2\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/12)\/((-3)\/(-9)). Let g = -17 + o. What is the common denominator of (-766)\/36 + 4\/g and -23\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - 0. Let k = 0.509 - -34.191. Let j = k + -35. Sort j, w, 5 in decreasing order.\nAnswer: 5, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3007*w - 12. What is the tens digit of l(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 26 = -5*a + 6*a, 0 = -5*v - 25. Suppose 2*y - 3 = 2*k + a, 0 = -2*k - 10. Suppose -y*g = -14*g + 1860. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 521*o + 29901. What is h(-57)?\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from xkxkkxfmkk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140970102 is divided by 2893.\nAnswer: 2891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35768 - -54627. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*l**4*r**3 - l**4 - 87*l**3 - 14*l**2*r**2 - 5*l*r**3 - 44*l*r + 2*r wrt l.\nAnswer: -168*l*r**3 - 24*l - 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 11066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65519\/1669434 - 1\/32734. Which is the nearest to k? (a) -5\/3 (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**2 - 2*z + 1. Let o be b(1). Suppose 0 = 4*x - 4, -2*h - 10*x = -7*x + 13. Is (o - 7236\/(-8)) + (-4)\/h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(121) - -1*2*sqrt(121)))\/(sqrt(22)\/sqrt(2)*-5 + sqrt(891)*-2 + sqrt(11))*-6.\nAnswer: -18*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -20*d**2 + d. Let h be n(-1). Let o be h*2*(-1)\/2. What is the greatest common factor of o and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1986747, 1986652, 1986557, 1986462, 1986367, 1986272?\n\"Answer: -95*l + 1986842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2121 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2174, 8692, 19550, 34742, 54262, 78104?\n\"Answer: -z**3 + 2176*z**2 - 3*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 - 73. Which is the second smallest value? (a) -0.9 (b) -4 (c) g (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, 59, -1142 in decreasing order.\nAnswer: 59, 12, 3, -1142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2414 and -7553?\nAnswer: 18232942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of (10*15\/150)\/(2\/7848)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1029857?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 + 74. Factor s*l**2 - 1\/2*l**3 + 0*l + 0.\nAnswer: -l**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 d, and 1 f when three letters picked without replacement from csfacfdvfcas.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/(510\/2550).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 8*k**2 + k - 6. Let q be h(-8). Which is bigger: -12 or q?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 18*a**2 + 22*a + 38. Let n(i) = 8*i**2 - 80*i - 17. Let x be n(10). Give j(x).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -111.8 * 0.2.\nAnswer: -22.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20483213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 1 + 2*u**3 + u**2 + 5 as y*u + s*u**2 + g*u**3 + v and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 64*b**3 - 4*b**2 + 4*b + 2. Let m(f) = -1023*f**3 + 66*f**2 - 66*f - 33. What is -33*k(y) - 2*m(y)?\nAnswer: -66*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -481*n**2 + 65*n - 65. Let u(x) = 15*x**2 - 2*x + 2. Let o(f) = -4*i(f) - 130*u(f). Let b(a) = a**2. Give o(b(p)).\nAnswer: -26*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-363)\/33 + (-45)\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 5 - 10 - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 less than -97753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 1935 = 5*w, 3*m = w - 0*w - 393. Is 24 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 0*g + 3*g + 426, -g - 170 = -2*y. What is the highest common factor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47287187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 9 + 10*s + 1.\nAnswer: 10*s + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*y - z, -2*y = 3*z - 4 - 4. Is 18 a factor of (12\/y)\/((-2)\/(-42))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*k**3 - 4425*k + 8908*k - 4483*k.\nAnswer: 56*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -33\/11519549 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (((-7200)\/(-175))\/16)\/((-8952)\/8953 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*s - 0*s - 9, -2*s - 16 = -4*u. Suppose 5*n - 60 = s*n. Solve -5*k - n = -a, k + 18 = a + 2*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25334052 + 216?\nAnswer: -25333533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 57*c**8\/28 + 25*c**4\/6 + 82*c. Find the third derivative of r(s) wrt s.\nAnswer: 13680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4487*p**3 + p**2 - 2*p + 3147 wrt p?\nAnswer: 26922*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (120\/(-14))\/(3\/(-63)). Let d be (-1 + -1)*w\/(-8). Suppose 0 = -v - 4*v + d. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69922 + 3106 = 967*v + 185*v for v.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**4\/7 + 60*m**3\/7 - 190*m**2\/7 - 540*m\/7 + 1872\/7 = 0?\nAnswer: -3, 3, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in sixty-seven fifths of a milligram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 554210000 rounded to the nearest one million?\nAnswer: 554000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (10*88\/(-360))\/((-1520)\/(-42)) and -92\/855?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 78583.8 centuries?\nAnswer: 7858.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -3*u**2 - 103. Let d(t) be the first derivative of -3*t**2\/2 - 3. Calculate d(m(p)).\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 > 2\/399909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*sqrt(3) + 4)*-3 + ((sqrt(3) - sqrt(48))*5 - sqrt(3) - (sqrt(108) + -2*sqrt(108)))**2.\nAnswer: -9*sqrt(3) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2237322 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 9 = 5*b. Suppose 4*w - b = 7. Find the third derivative of 4*m - m**2 - m**w - 4*m wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**2 - 71*w + 141. Let c be p(12). Let s(q) = -q**2 + 8*q + 4. What is s(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**5\/30 + t**4\/24 - 7*t**2. Let u be w(1). Let q(z) = 6*z**3 - 2*z**2 - 6*z + 1. Is q(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 600 and 1920?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k + 341. Let i be f(-37). Solve 5*s = -y + 12, -8 = -5*s - 7*y + i*y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -4699?\nAnswer: -46a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0028579 to four decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69099?\nAnswer: 3, 31, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/37158 and -91\/69542.\nAnswer: 117456438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 35. Let o be 2\/(-4) + (-3)\/z. Is 0 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 803.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*o**3 - 25*o**3 + 52030*o**2 - 52030*o**2.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-10 - -1) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**5\/480 - 5*r**4\/192 + r**3\/8 - 23*r**2\/2 + 33. Let a(b) be the second derivative of s(b). Let a(g) = 0. Calculate g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 3\/4*a**4 + 0*a**5 - 2*a - 25\/6*a**6 + 0*a**3 + 35 + 49\/2*a**2. What is the second derivative of j(q) wrt q?\nAnswer: -500*q**3 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/((-38)\/(-4)) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-200))\/((-3)\/((-120)\/112))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 69\/11*((-1174624)\/(-426))\/376\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 11. Suppose -7 = 2*g + 3, 0 = -5*r - 3*g - 60. Give h(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmbbobmbfffhffrf. What is prob of sequence bb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 7*i - 6. Let a be y(-5). Let w = a + 4. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5628 + 2684558\/477. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2571\/7 at least -367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84990806?\nAnswer: 2, 42495403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-42)\/(-15) + -2)*125. Suppose 0 = -r - 3*r + a. Suppose r = -i - 4*i. Let q(d) = -d**2 - 7*d - 6. Determine q(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from orrrrrrr.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -60 (c) 0.01 (d) 0 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269, 529, 813, 1115, 1429?\nAnswer: 1749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 11:10 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31 and 26.\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -147879*t + 147877*t - 2*x, -38 = -8*t + x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*f + 34*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13064*x = 64734 + 405570 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/28*(-8)\/27?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2208064?\nAnswer: 2, 34501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 4)*(z - z + 2*z) - 3*z + 50 + 47 - 108 + (3 - z - 3)*(-2 - 2 + 3))*(11*z**3 - 4*z**3 - 6*z**3 + (0*z**2 + 6*z**2 - 5*z**2)*(-2*z - 2 + 2)).\nAnswer: 4*z**4 + 11*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 34, 2\/17, 2\/13, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2172\/(-2896)*(-8)\/102?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5\/15 - 8*m**4\/15 + 8*m**3\/15 = 0. Calculate m.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 6:02 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 219265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00420171454 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7126 and 25852110.\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38750197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.469 - 3.469. What is the second biggest value in 6, 1\/5, 0.3, -4\/9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*y**2 + 3*y**3 - 33*y**2 + 630*y - 15*y**5 + 17*y**2 + 145*y wrt y?\nAnswer: -300*y**3 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1128 and 2112?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -24.2. Let w = -11.8 + 12. What is the nearest to -2\/21 in 0, i, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d - 240 = -2*z, 26877*d = z + 26873*d + 64 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 229, 454, 655, 820, 937, 994, 979, 880?\n\"Answer: -2*b**3 + 239*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 290456029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3417613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 64430888 less than 64430886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/23)\/s**(-3)*s**4*s*s*s\/(s*s**1)*(s*s**0)**(2\/47)*((s*(s\/s**(1\/2)*s)\/s)\/s)**(-50) assuming s is positive.\nAnswer: s**(-18425\/1081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 10*j - 2. Let a be q(5). Suppose 4*o = -0*o + 16. Suppose g - 22 = -3*y, -2*g - o*y = -a + 14. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10201212 (base 3) to base 8\nAnswer: -5243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110322233 + -1123?\nAnswer: -110330022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -44. What is the nearest to k in 0, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t = 31*t - 30. Let o(b) be the first derivative of 14 - 1\/2*b + 7\/24*b**t + 3\/32*b**4 + 0*b**2. Let o(g) = 0. Calculate g.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 6*v**2 - 5*v - 3. Suppose 4*u = -5*q + 30, 28 = -3*u + 7*u + 4*q. Determine h(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 5*j + 65 = 0. Let y = -13 + 18. Suppose 3*o + y*c = 14, 0 = c - 1. Put j, 1, o in ascending order.\nAnswer: j, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 16 = -9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2824, -386, 6230, 19112, 40348, 72026?\nAnswer: 116234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 0*i**7 - 8*i**2 + 5\/336*i**8 + 0*i**3 - 1\/24*i**6 + 0*i**5 + 0 + 0*i + 0*i**4. Determine u so that v(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l = 22*l - 17*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 11) to base 6\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, 2\/403231, 0.1.\nAnswer: 2\/403231, 0.1, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60e7 (base 15) to base 12.\nAnswer: -ba17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -315\/73 + -19207\/438. Which is the second smallest value? (a) 0 (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/3 + 994*j**3\/3 + 254137*j**2\/3 + 6464664*j.\nAnswer: j*(j + 173)**2*(j + 648)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1268 take away 8899.333?\nAnswer: -10167.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35560618 to the nearest integer?\nAnswer: 5963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 110771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3108 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2664 and 28?\nAnswer: 18648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -71 (b) 5 (c) -1\/7 (d) -8 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 19. Suppose -n = -3*s - 4*y, 5*s + 1 - 12 = -2*y. Suppose 2*k = -s*w + 156, 18 = 4*k + 6. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17328116 + 38128101. Suppose -5*t + 5*d + z = -3*t, 4*t - 41599997 = d. What is t rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Suppose 44*i - 27 = 41*i. What is the derivative of i - 7*d - 11 - d + s*d wrt d?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52\/19, 2\/11, 1\/6, -0.018 in descending order.\nAnswer: 52\/19, 2\/11, 1\/6, -0.018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -288*r. Let o(v) = -8*v - 6. Give u(o(n)).\nAnswer: 2304*n + 1728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 10. Suppose 3*k - 4*t = 80 + 196, 0 = -s*k + t + 189. Suppose 18 - k = -3*n. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 10*v - 3)*(0 + 0 + v**3) + (-2 + 6*v**3 + 2)*(v + 2*v + 0*v).\nAnswer: 28*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11413 - 11413. What is the smallest value in 5, y, 12, 3\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26659?\nAnswer: 53, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d + 1. Let u be (-1)\/(-2) - 18\/4. Let n be c(u). Let f = -10 - n. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(13) + sqrt(325)) + -1.\nAnswer: -1 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14971340 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/17 and -59\/987972.\nAnswer: 987972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*c - 197*c + 2867 - 9819 for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11885*r + 296938. Give u(25).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001747 to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 237*s - 4. Let j be w(-2). Let v = j + 268. Let c = v + 1475\/7. Is c > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 2*a**3\/3 + a**2\/2 + 153. Let t(j) = -j**2 - j. Suppose 0 = -2*n - n + 9. Calculate n*w(c) + 5*t(c).\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 14 = -4*m, 9*j - 4*m - 36 = 7*j. Suppose -2*s - x = -10, -5*s + 5*x - 6 + 1 = 0. Solve j = -2*v - 3*h - 10, s*h = v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*q - 11, -2 = -0*a + 2*a. Let x(n) = 14 - q - n - 12. Calculate x(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -15.16\nAnswer: -75.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(16\/3)\/(y**(-33)\/y*y*y))**25 assuming y is positive.\nAnswer: y**(2800\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1858802460?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*-2.30437.\nAnswer: -1.843496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 1, w: 1, u: 1, q: 2, s: 1}. What is prob of picking 1 s and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 30. Let i(s) = -3 - s**2 - 21*s - k + 4*s + 4. Let u be i(-11). What is the greatest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75775 is divided by 75594?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -94249 and 215.\nAnswer: -94034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 28504.097+0.31\nAnswer: 28504.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -286 - 67*l - 247*l + 286 to s*l + a and give s.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*c + 26 - 26 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2895 = -11*m + 6*m. Let o = 581 + m. Which is greater: 19\/9 or o?\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 269 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 1:46 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, u: 5}. Give prob of sequence oooo.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 3*y - 13, 118*v - 119*v = 11*y + 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*o + 1521*o = 31*o - 30933 - 21132 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 11:02 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 708*r - 729*r - 9623 + 20*r.\nAnswer: -r - 9623","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 + 56. Suppose 2*g + 11 + 10 = 3*h, -2*g = h + 1. Is 2 + (u - g) - -22 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.601 + -33.601. Are 1.18 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(104) - (sqrt(104) + 1*sqrt(104))) + sqrt(104))\/((sqrt(392) - sqrt(392)*-1 - sqrt(392)) + sqrt(392) - sqrt(392)).\nAnswer: 2*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -456.84 + 452.9731. What is q rounded to two decimal places?\nAnswer: -3.87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 31 = 7. Let d(p) = -p**2 - p. Let l = -20 - -2. Let r(x) = -x**3 - 9*x**2 - 9*x. What is c*r(g) + l*d(g)?\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 47*h + 1065. Let c be p(-21). Solve -90*r = -c*r - 60 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 8*u**2 + 3*u - 6. Let t be h(8). Suppose -84 = -6*o + t. Suppose o*g - 3 = 14*g. Solve 4 = -3*q + g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*l - 10*l - 6*l)*(3 + 0 - 2)*(-46*l - 14*l + 14*l).\nAnswer: 1196*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -21 + 21. Suppose 4*k - 18 = 2*k. Suppose -8*v + k*v - 11 = t. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3417.145 centimeters to nanometers.\nAnswer: 34171450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 20) + 25 + -22.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1610 and 5980?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 4*d, 4*z + 122*d = 118*d for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1185098 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 9:05 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 3, -2 in ascending order.\nAnswer: -44, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5798, 5807, 5828, 5867, 5930?\nAnswer: 6023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 601, 1234, 1819, 2332, 2749?\n\"Answer: -4*b**3 + 661*b - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**3 - 7*r**2 - 3*r + 5. Let m(v) = -7*v**3 - 13*v**2 - 5*v + 9. Let w(j) = 5*b(j) - 3*m(j). Is w(-2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42226464 <= -42226464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -53705000 rounded to the nearest 100000?\nAnswer: -53700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*h + 68*h = 43*h + 3*n - 41, 5*n - 35 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 16) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89370683 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 4. Solve 0 = 3*i + 3*v - b, 2*i - 2 = -0*i + 4*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**2 - v**2 + 6*v**2 + v - 168 - v**2 wrt v.\nAnswer: 4*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, y: 2, n: 5, a: 6, v: 2}. Give prob of picking 2 v and 1 a.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 22?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4 = -4*l - 1, 5*l = 2*g. Let w(y) = 2*y**2. Calculate the remainder when l is divided by w(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5316 is divided by 884.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**3 - g**2 - 2*g - 2. Let x be t(-2). Calculate the lowest common multiple of 10 and 96\/36*(-3)\/2 - x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s - 3. Let d be g(-6). Let c = -11 - d. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z**2 + 0*z**2 - 13*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 40568 divided by 4481\nAnswer: 40568\/4481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 7:01 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59147?\nAnswer: 11, 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -5 in decreasing order.\nAnswer: 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*((sqrt(5) + -1 + 2)**2 + -4) + (((0 + sqrt(180) - sqrt(180)) + sqrt(180) + sqrt(180))*3)**2*4 + 0.\nAnswer: -2*sqrt(5) + 25922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.497 + 4.67. Round c to 2 dps.\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -331063729 - -1074632801041\/3246. Let u = 2\/1623 - g. What is the common denominator of ((-29)\/580)\/(1*4\/245) and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23219836*s**6 + 133282*s**2 - 10.\nAnswer: -2786380320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.59 + -268.59. Let w = d - -267.3. What is the nearest to 0.3 in -1\/3, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -94599.2084.\nAnswer: -94595.2084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/2)\/3*2. Let y be (9 + -1)\/(b - -1). Solve -3*a + 3*m = 7 + 5, 0 = a + 2*m + y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100102668 to the power of 1\/3, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 2:57 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1515, -1537, -1561, -1587?\n\"Answer: -i**2 - 19*i - 1495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -12*a + 17*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 83955\/(-4500) + (-2)\/3. Let b be (-2)\/5 - ((-5156)\/240 + 3). Let f = c + b. What is the common denominator of f and -91\/6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 875 - -769. Suppose -c = -15*t + 3096. What are the prime factors of t?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vppn when four letters picked without replacement from {n: 2, p: 4, v: 4, u: 2}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaax. Give prob of sequence xa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -582 + p + 582. Let h(i) be the second derivative of 7*i**4\/4 + i. Determine h(y(q)).\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = -4*h, -2*i - h + 39 = -0*h. Suppose -24 = -3*x - 3*z, 2*z + 12 = -2*z. Suppose s + x = -3*n, 0*s - i = s - 3*n. Which is greater: 0.1 or s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113 + 787\/7. Calculate the common denominator of -59\/15 and n.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329 = 4*s + 105. Let b = s + -54. Solve -6 = 2*m - b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1182 - 12593237.\nAnswer: -12592055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 3 + 3. Let q = 2 + y. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*c - 48*c + 10 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, b: 7, e: 1}. What is prob of picking 2 b and 1 e?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 325.8, 2, -56 in ascending order.\nAnswer: -56, 2, 325.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 7*n**2 + 4*n + 31. Is 2 a factor of g(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*h - 0*t - t, 14 = 5*h - t. Suppose -h*b = -6*b + 256. Is -2 - -1 - b\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + -6 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 0.034, 2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1))\/y)**(-6\/17)\/((y\/(y**(-1)*y))\/(y*y**1*y)) assuming y is positive.\nAnswer: y**(28\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d - 3015 - 351 = 120*d - 37*d for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 315 = 6. Put 5, u, 4 in descending order.\nAnswer: u, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, k: 1, q: 2, l: 4}. Give prob of sequence ek.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.25 and -1474.\nAnswer: 12160.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7946 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 184.10276401 to two dps.\nAnswer: 184.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 244 = -13*j. Let b = 66 - j. Suppose -3*c + 52 = -b*u + 3*u, -5*c = 3*u - 55. Calculate the highest common divisor of 21 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*f - 45*f - 38*f + 4*f**2 + 123*f.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0383 and 11.\nAnswer: 0.4213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -294, -2685, -9180, -21831, -42690, -73809, -117240, -175035?\n\"Answer: -342*k**3 + 3*k + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbvvbvvv. Give prob of sequence vvbv.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -562 - -539.1. Let z = -23 - w. Let t = 0.04 - 1.04. What is the closest to z in 2, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 5*z + 4. Let d be p(2). What is the first derivative of 174 - 31*j + 5*j**2 + 46*j - 10*j**d wrt j?\nAnswer: -10*j + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 94 = -5*t, -3*t = -5*z - 27 - 37. Suppose -23*o = -t*o - 26905. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52625613 < 52625616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, -4, 5 in decreasing order.\nAnswer: 81, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 10 = -2*u, 5*u = -2*f + 27 - 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8909 = 2*c + q - 0*q, 0 = 2*c - 3*q - 8897. Let h = c - 44573\/10. Suppose 0 = y - 3*a + 22, 2*a + 5 = -3*a. Calculate the common denominator of h and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094784 to the power of 1\/2, to the nearest integer?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -26901*k - 2*k**2 + 6 + k**2 + 26392*k as i*k + s + j*k**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15501 (base 6) in base 4?\nAnswer: 213331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3\/(18\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**3 - 4*t**3 - 3*t**3)*(2 - 2 - t) + 463571*t**4 - 463505*t**4 - 2*t**2 + 2*t**3 + 0*t**2.\nAnswer: 67*t**4 + 2*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnngggn. Give prob of picking 2 g.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*((0*w - w + 3*w)*(-2*w - 2 + 2) + 5*w**2 - 4*w**2 - 2*w**2 + 2*w**2 + 2*w**2 + 3*w**2).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.22 (b) -4 (c) 32 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -5. Let v = 5 + r. Let h(m) = 4*m**2 - m - 4. Let l(w) = 2*w**2 - w - 2. Calculate v*h(c) - 5*l(c).\nAnswer: 2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2136757?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 106661.5091 to the nearest one thousand.\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 274 divided by 5\nAnswer: 274\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 3.2. Let v = u - -0.8. Sort 2, v, 5.\nAnswer: v, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 3, n: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*s + 647 - 2013 = 1730 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*o + 2. Let k(h) = h**2 + 4*h + 5. Calculate the remainder when 29 is divided by k(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y. Let m(l) = -25*l**2 - 6. Let v(k) = -274*k**2 - 68. Let a(c) = -68*m(c) + 6*v(c). What is b(a(z))?\nAnswer: 112*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 2. Let w = -1532.79 - -1533.03. Which is the second biggest value? (a) -2 (b) v (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 3. Let h(j) = -j**2 - 11*j - 13. Let o be h(-9). Let s(y) = -1. Let n(w) = 1. Let p(l) = -3*n(l) - 4*s(l). Determine o*p(z) + f(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(-11\/5))\/(l**(-1\/4)\/l))**(-7))**(10\/9) assuming l is positive.\nAnswer: l**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -15*d**2 + 31*d + 156. Give n(-4).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*b + 24 = -29*b - 3*s, -6*b - 28 = -5*s - 81 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8 + 2)\/3)\/1. Let o be (39\/26)\/(2*6). Sort o, y, -1 in decreasing order.\nAnswer: o, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n - 1. Let a(t) = t**3 + 6*t**2 - 6*t + 6. Let p be a(-7). Determine c(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66 + ((-6)\/(-2) - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i - 9. Let u be y(-7). Let h be (1 + (-48)\/8)*(-2)\/(-10). Sort -10, h, u, -4 in descending order.\nAnswer: u, h, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*i + i. Let t be 1*(-5)\/(-1)*i. Let r be (14\/(-6) - (-4)\/3)*1. Put r, 9, t in ascending order.\nAnswer: r, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 + 5)*(-3*v**4 - 3*v**2 + 3*v**2) in the form g*v**2 + x + q*v + y*v**4 + j*v**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16772?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5))**(3\/10))**(-24)\/((x**(2\/7))**(-3\/8)*(x**0)**(4\/3)) assuming x is positive.\nAnswer: x**(-1941\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 50 = 70. Suppose 6*n - n - f = 0. Suppose -o + 16 = x - 0*x, -x + n = -o. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22017232?\nAnswer: 2, 1376077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*r + 11, 6*r = r - 20. What is the remainder when 17 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -542, 1792, 4142, 6508, 8890?\nAnswer: 11288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + p + 1. Give w(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*a + 2 + 2, -a = 4*i + 25. Let v(j) = -j**3 - 8*j**2 - 5*j + 6. Let u(o) = o**3 + 9*o**2 + 6*o - 7. What is i*u(s) - 7*v(s)?\nAnswer: s**3 + 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -536 - -536. Suppose m = n + 43*n - 160556. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 0*j - 1 + 3\/4*j**4 + 0*j**2 + 1\/3*j**3. Find the third derivative of m(b) wrt b.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 65029 or 65143?\nAnswer: 65143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.485 - -0.509. Let u = k + 0.006. What is the nearest to u in -2, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1295*v - 1286*v - 9 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/6040 and -36\/5.\nAnswer: 6040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyzffzzryzy. Give prob of sequence zfrz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11185 rounded to three dps?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1701 = -4*x + 675. Suppose -10*f + f = -x. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165\/(-220) + (-185)\/(-300)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11701 - 6827. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*i - 2*c, 0*c - 7 = -4*i - c. Let p = 83 - 75. Solve -p = -i*y + y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44497.8187 - 44494. Round t to 2 decimal places.\nAnswer: 3.82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 0, 3\/2, 2775, 11?\nAnswer: 2775","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -38*5\/(-40) + (-2)\/(-8). Let n(g) = -g**3 + 4*g**2 + 6*g - 2. Determine n(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/7 - 46*g**4 + 5065852*g**3\/7 - 1447200*g**2 = 0. What is g?\nAnswer: -1675, 0, 2, 1512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 633 (base 9) to base 13.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 g when four letters picked without replacement from {g: 14, f: 4}?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 0*u**3 - u**5 + 71\/2*u**2 - 45*u + 0 + 1\/12*u**4. Differentiate v(d) wrt d.\nAnswer: -60*d**2 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 63.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 2:02 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-five eighths of a tonne?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/63 and 68\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-192)*-4)\/((-3)\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 2*r**3\/3 - r**2\/2 + 5*r - 8. What are the prime factors of p(4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -23, -3\/65, -4, 8\/9?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -936 - -917.28. Let j = y + -0.28. Let w = j - -18.48. Round w to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 10*s**2 - 16*s - 10. Let o be u(-8). Does 22 divide (149 - 0) + 20\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.109514 - 796.499514. What is p rounded to the nearest ten?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s + 14. Suppose -2*o - o = -4*n + 26, -20 = -4*n. Let w be d(o). Suppose 5*l - w*k = 270, 2*l = 5*l - 3*k - 162. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 7 - 25. Put f, -1, -3 in decreasing order.\nAnswer: f, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ammmamamzazoczom. What is prob of sequence mm?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 43?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 605724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42999\/11 + (1 + -4 - -3).\nAnswer: 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 3:42 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 2*o + 9, 487*q = 482*q + 5*o + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1182353?\nAnswer: 1182353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 8:12 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*d - 3540 = -221*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13148 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -18.8?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 218038148 and 2164.\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmmzzgzmggzmmgg.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 116, 429, 934, 1631?\n\"Answer: 96*c**2 + 25*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = 14*w - 3 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1392*z - 2419. What is the tens digit of r(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44658 divided by -9?\nAnswer: -4962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 10*n**2 + 5*n + 5. What is v(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 641 divide 129285213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86183\/133 + -90785671\/140980. Let q = w + -158\/53. Find the common denominator of (-1)\/(-8) - (-391)\/(-88) and q.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 95 - 60 = -2*r, -1 = -r. What is the remainder when k is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 14, 5, -21, 3, -2 in decreasing order.\nAnswer: 14, 5, 3, -2, -13, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/19)\/z)\/(z\/z**28*z))\/((z*z\/z**(-15))\/((z\/z**(-35))\/z)) assuming z is positive.\nAnswer: z**(816\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 704?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -39195.438 and 1.\nAnswer: -39194.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and -11.201?\nAnswer: 212.819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 405038.34us?\nAnswer: 0.00000066970625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - 256\/7. Let k = 10\/33 - 52\/99. Put k, -5, y in descending order.\nAnswer: y, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 93*u. Let n be (2\/(-4))\/(-1)*(6 + -6). Let k(r) = 2*r - r - 2*r + n*r. Give w(k(q)).\nAnswer: -93*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 31.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 7*q. Let s be w(6). Suppose 5*o - 67 = -3*l, o + 75 = s*o + 5*l. Suppose o*f + 129 = 14*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**6*r**2 + 216*f**4*r**2 + f**2*r**2 - f**2 - 2*f + 180*r**2 wrt f.\nAnswer: 120*f**3*r**2 + 5184*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j + 1. Suppose 0 = r + 1 + 1, -4*r = -2*t + 4. Let d be i(t). Suppose 0 = 3*b - 2*b - d. Solve 6*q = q + b*o + 5, -5*o = -q + 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -111 - -114. Suppose d = -c*z - 1, -z = -5*z. Let p = 1.3 + -1. What is the nearest to d in -1\/4, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**6\/120 + p**5\/30 - p**4\/6 - 4*p**3\/3 - 5*p**2\/2 - 3. Let v(f) be the second derivative of x(f). Factor v(z).\nAnswer: (z - 2)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, 263, 619?\nAnswer: 975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 0)*(-5*q + 4*q - q) + (-10 + 1 + 2)*(-5*q + 4*q + 3*q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10*u**3 - u**2 - u + 2. Determine t(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -20797, -4\/7, 1, -0.84 in descending order.\nAnswer: 1, -4\/7, -0.84, -20797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3539 is divided by 1175?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120 - -23?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 7) + (-26 - -28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r - 27. Let d(h) be the first derivative of -h**2\/2 - 26. What is the units digit of d(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and -1664.\nAnswer: -1996.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 6:02 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (228\/(-171))\/(8\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 0*i + 4*i + 126 - 1 = 2, -n + 325*i - 80 = 868 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 11) + (-2184)\/(-216). What is the nearest to -2\/3 in v, 19, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 2*x**2 + 6*x**2)*(-272*x - 526*x - 114*x + 61*x + 26*x).\nAnswer: -4950*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 959 - 960.764. Let w = 0.036 - l. Let k = w + -5.8. Which is the fourth smallest value? (a) -1 (b) 5 (c) 0.3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20289 + (-2 - -3 - 2). Suppose -4*d + 1147 = 5*q, -5*d = -0*q + 3*q - 1437. Suppose d = -a + v. What is a rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53.02 + 53. Put 0, 5, i, -5\/3 in ascending order.\nAnswer: -5\/3, i, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7398 (base 10) to base 11.\nAnswer: -5616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 824909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1110111100?\nAnswer: 1110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 174 = -966. Let w be (-3 + 1935\/646)*n. Let u = -10\/19 + w. Is u at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f - 10*f. Solve 1 = n - f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 300624*b**3*g**2*z + 71*b**3*g*z - 13*b**2*g**2*z + 2*b**2*g**2 + 214*b**2*g*z + 5*b*g*z + b + 2*g**2*z - 39 wrt b?\nAnswer: 1803744*g**2*z + 426*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l + 5 - 5)*(2 + 3 + 0 + l)*(l**3 + l**3 + 0*l**3).\nAnswer: 22*l**5 + 110*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97264653?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172794649, -345589298, -518383947?\nAnswer: -691178596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8184*s**3 + 0*s**2 - 2*s**2 + 5*s - 4*s - 8178*s**3. Calculate d(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 28. Calculate the remainder when 11 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 77894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6150*m**2. Let g(p) be the first derivative of 2*p**3\/3 - 2871. Determine c(g(k)).\nAnswer: -24600*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 33 - 13. Let y = 0 - -16. Let a = y - p. Solve 4*m - 2*k - 6 + 24 = 0, -4*k = -2*m - a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9, -5 in increasing order.\nAnswer: -5, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 11. Let a be -4*(-2)\/y*1. Let g be -5*6\/(-10) + -8 + 5. Solve -s - a - 3 = g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264960*z**3 - 132484*z**3 - 132480*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56185*p**5 - 3*p**2 + 801*p + 2 wrt p.\nAnswer: -3371100*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 267 and 52167.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -280 smaller than -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 2 + 3*v - v**2 - 2*v**3 - 4*v. Let t(g) = -2*g + 1. Let b be t(-4). Let r be b\/(-4) + (-8)\/(-32). Calculate y(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**4\/12 - 2*x**3\/3 + x**2\/2 - 2*x. Let w be 91\/(-21) - (-1)\/3. Calculate p(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(21)\/(sqrt(112) - sqrt(7))).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106813404.\nAnswer: 2, 276703351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 8\/(-4 - 0). Suppose -4*s + 6*s - p - 33 = c, 2*s + 5*p = 39. Let o = s + 1. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-3)*(-1701)\/18 + -1 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 16*r**2 + 15*r + 1. Suppose -1 = -p + 1. Suppose 0 = -k + p*t + 1, -3*t + 1 = k - 2*t. What is the remainder when k is divided by f(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*g + 88*g + 7737 = -7256 for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b5295 - 37?\nAnswer: 4b525a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 15) in base 5?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 0.6154.\nAnswer: -4.6154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4886423 is divided by 80105.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, -1, -1734 in descending order.\nAnswer: -1, -5, -7, -1734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + n**2 + n - 1. Suppose -21 = u + 5*h, -3*u + 41*h - 39*h + 5 = 0. Let s(k) = 13*k**3 - 4*k**2 - 4*k + 4. Calculate u*s(j) - 4*m(j).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2. Let k(d) = 2*d. What is k(y(c))?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (118\/(-16225))\/(-2*60\/264)\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 127, 124, 121, 118?\n\"Answer: -3*s + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -888*g. Let t(v) = 68369*v. Calculate m(t(d)).\nAnswer: -60711672*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*o + 9859 + 1936 = -2950 - 455 for o.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*u - 2*p - 32, 2*u + 36*p - 40*p = -3*u + 41 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**4 - 2*v**4 - 4*v**4)*((3*v + 4*v - 5*v)*(-5 + 2 + 1) + 4 - 2*v - 4).\nAnswer: 36*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6147*j - 116776. Determine r(-19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -2527172?\nAnswer: 2527167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - r**4 + 3*r**2 + 2*r**3 + r**3 - 7 to the form u*r**3 + o*r + n*r**4 + y*r**2 + m and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 617, 1224, 1831, 2438, 3045?\nAnswer: 3652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.5 + 29.5. Let z = g + -34. Let j = 2.8 + -3. Which is the third biggest value? (a) 3 (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((44\/(-16))\/11)\/(110\/(297000\/525))\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445524?\nAnswer: 2, 3, 137, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + 11*a**4 + 226*a**4 + 53*a**4 + 3186*a**3 - 3184*a**3 - 45*a**4 in the form z*a**3 + o + m*a**2 + u*a + f*a**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.12 + -0.12. Let z = r - 9.3. What is the closest to -1 in z, -5, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 96 = a. Let w = a + 45. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a century in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -1.8 (c) -132 (d) -44 (e) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16 - 22 + 163 + 3178*b**3 + 273*b - 135*b - 130*b wrt b.\nAnswer: 19068*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1690 + 1694 = -j, 0 = -4*n + 3*j + 4507. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 145010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-1 - 4\/(-2)). Suppose 6*l = 4*l + i. Calculate the remainder when (-300)\/(-4)*l\/6 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2237 - -4682. Suppose 0 = -0*f - f - 5, -w = -5*t + 5*f. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10803597751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085882558 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2702 divided by 19?\nAnswer: -2702\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 396324930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 360 + -193. Let o = 1633 + b. What is o rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.06 (b) 2\/5 (c) -3\/4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 23*o + 6. Give d(-5).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 7) in base 4?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3946560 and 69887.\nAnswer: 67091520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2503 by 2503.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 4*h**2 - h - 4. Let q be j(3). Let f be -3 + q + 2 + 2. What is the units digit of (-17 + (3 - f))\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 172750736 and 133.\nAnswer: 1209255152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*q = -278, 2*q = 2*h + 98 - 404. What are the prime factors of h?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 297 + 51. Let l = -307 - w. Let j = 5 - l. Round j to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - p)*(0 + 3 - 1)*(5*p + 2 - 3*p + 1)*(18*p - 367 + 367) as n*p**2 + r + o*p**3 + m*p and give n.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85548719.\nAnswer: 877, 97547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 134, 45, -72, -229, -438, -711?\n\"Answer: -2*m**3 - 2*m**2 - 69*m + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27229253 is divided by 661?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -9086, 15, 29 in decreasing order.\nAnswer: 29, 15, -9086","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 45*w**3 - 3*w**2 + 3*w + 3. Suppose -302*p = -268*p + 102. Let f(h) = -90*h**3 + 5*h**2 - 5*h - 5. What is p*f(q) - 5*r(q)?\nAnswer: 45*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 6. Let n be x(-8). Let b(h) be the first derivative of h**2\/2 - 2*h + 3. Determine b(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 505*b + 45925. What is i(-91)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.373 to zero dps.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2\/243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-3)\/3))\/(((-26)\/(-143))\/(-2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35406 - -73187. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 170 - 42. Suppose -c = -17 + 1. What is the highest common divisor of c and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 - 32*m**2 - 63*m + 101. Is n(-17) a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -187 divided by -1\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 5*r - 2. Suppose -5*x = -5*d - 25, -4*d = 3*x - 2*x - 10. Let k be i(x). Let l = 26 + k. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269055 divided by 22?\nAnswer: 269055\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 15. Give t(-13).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 823.5297 milligrams?\nAnswer: 0.8235297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsggsdssssggcddo. What is prob of picking 1 o and 2 d?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 + 311 = -r. Let k be (-2 + 5)\/9 + 164\/r. Let z(i) = -i**3 + 2*i**2 + 3*i. Let j be z(3). Is j smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2969083490?\nAnswer: 2, 5, 17, 17465197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -1\/6 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2128a25 (base 12) to base 13.\nAnswer: -13ba448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -141621405 rounded to the nearest one hundred thousand?\nAnswer: -141600000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: 3802 divided by -1\nAnswer: -3802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 6:36 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvd when three letters picked without replacement from evvvdllevevdeeddev?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -5 + (2 + -9 - -10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -62, -58, -58, -68, -94?\n\"Answer: -k**3 + 4*k**2 - k - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) -2\/9 (c) -6 (d) -561\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*c - 2*a + 2906, 2902 = 3*c - 2*a. Let d = -646 + c. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 193 = 195 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 17*y + 15. List the prime factors of b(18).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 32682.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 23 = 4*p, 0*p - 2*d = -5*p + 27 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1698296253 by -3.\nAnswer: 566098751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24520116?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65 + -33 + -28 - (2 + 8)) + -12?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*n - 2257 + 14843, 2*n - 5024 = 4*j. Let q = n - 442813\/176. Which is greater: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 160, 241, 320, 397, 472, 545?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-4) - (-6)\/2. Suppose 1 = i - w. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 289*q - 21. Let t(i) = -22*i + 1. Give t(j(n)).\nAnswer: -6358*n + 463","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d - 10. Calculate f(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 3*i**2 - i - 1. What is the remainder when 17 is divided by d(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11614, 11614, 11612, 11608, 11602?\n\"Answer: -z**2 + 3*z + 11612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - 8. Let j = -10 - i. Let n(c) = j + 0*c + 2*c - 11. Let w(r) = -5*r**2. Determine w(n(p)).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b - 5. Calculate the remainder when (-80)\/6*(-3)\/2 is divided by v(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.052 in -5\/14, -2, -105.2?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 4:32 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2795*x**3 + 5723*x - 260*x**3 - 5723*x.\nAnswer: 2535*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 23055*l + 5263610.\nAnswer: -5*(l - 4829)*(l + 218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/(-420)*14)\/(-1). Which is the fifth biggest value? (a) -5 (b) 5 (c) -14 (d) n (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - 4*o - 103. What is v(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -203 - 721?\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) 0.2 (c) 0.3 (d) 4\/9 (e) -1372 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/5 + (-46364040)\/(-225) - -3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, 36, 293, 798, 1635, 2888, 4641, 6978?\nAnswer: 9983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*g - 43*g - 13*g + 9*g**3 + 190*g**2 - 16*g - 190*g**2.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/4462878 and -31\/318777.\nAnswer: 4462878","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 0 - (-8 + 0). Suppose 5*i = 3 + h. Suppose -j - 6 = -i*b, 5*j - 13 = 2*b - 35. Sort -2, -4, b.\nAnswer: -4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7431\/19 < -392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.38 - 1.1. Let s = 18.28 - k. Let w = s - 13. Which is the second smallest value? (a) 2\/5 (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 21*z + 8. Let v(u) = -32*u - 12. Let h(j) = 8*l(j) + 5*v(j). Differentiate h(m) with respect to m.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 42 = -x - 10 - 11 - 21, 2*j - 6 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 83 = -9. Suppose 4*o + 20 = 3*q, -20 = -4*q + 2*o - 0*o. Let m be -2 - (1 + a) - q. Round m to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 921050?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + -2*sqrt(2057))**2 - ((sqrt(17) - (0 + sqrt(1088))) + sqrt(17)).\nAnswer: 6*sqrt(17) + 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5 - 18*a**4 + 130*a**3 - 150*a**2 - 128*a + 168 = 0. Calculate a.\nAnswer: -14, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**2 - 244*z + 504 = 0. Calculate z.\nAnswer: -63, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/(-1064)*14)\/(4\/(-56)*3)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2733 - 2736. Which is the fourth smallest value? (a) u (b) 17 (c) -0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*r + 15. Let c = r + 7. Which is smaller: c or 7\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77550\/17 + -4562. Which is the fourth biggest value? (a) -2\/5 (b) -2 (c) t (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 58973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8*f**3 + 135*f**2 - 25*f - 103. Determine y(-17).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.03 + -0.53. Sort g, -2\/15, -1.1, -0.1.\nAnswer: -1.1, -2\/15, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 32*r + 664. What is the remainder when 333 is divided by n(-19)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125.57*0.3.\nAnswer: -37.671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -2130?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 256, 581, 1066, 1729?\nAnswer: 2588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/(-756) + (-3)\/7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10998587\/10 - -1098948. Let p = -908 - i. Let v = -2053\/38 - -238\/19. Find the common denominator of v and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 750*g + 25. Let u(q) = 2250*q + 71. Calculate -17*p(o) + 6*u(o).\nAnswer: 750*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2514107*h**2*w**2 - 2*h**2*w + 10*h*w**2 + 63878*h wrt h.\nAnswer: -5028214*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -232, -502, -890, -1402?\nAnswer: -2044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j + 25. Suppose 5 = 4*c - 7. Suppose -2*q = -c + 17. Is 10 a factor of s(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 202895 and 136.\nAnswer: 1623160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 6*p**2 + 6*p - 7. Let m(c) = 3*c**2 - c + 2. Let t be m(-2). Let x be 6\/(-18) - t\/(-3). Let y be b(x). Put y, 4, 5 in descending order.\nAnswer: 5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17\/9 - (50\/5)\/5. What is the third smallest value in 3, b, 1.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55754388 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42626220 a multiple of 1036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 - 243 + 2*g**2 - 3*g - 6*g**2 + 243 to s*g**2 + k*g + h + m*g**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 + 0 + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4621*k - 2*k**2 - 3*k**4 - 7*k**3 - 5 + 4621*k as r*k + y*k**3 + p*k**4 + j + d*k**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -293, 5, -0.3, -2 in descending order.\nAnswer: 5, -0.3, -4\/5, -2, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -395d - 11?\nAnswer: -3970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5)*z\/z**(-4))\/((z\/(z**(-7)\/z))\/(z*z**(-3))))\/(z**0*z*z*((z*z**(-1\/2))\/z)\/z*z*(z*z**(-1\/4))**(-40)) assuming z is positive.\nAnswer: z**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.054?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*o + 55 = -0*v, 32 = 2*v + o. Suppose 5*h = -3*f + 20 + 65, -3*f = 4*h - 71. What is the remainder when ((-160)\/h + 2)*-7 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9402ed + -3?\nAnswer: 9402ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-100)\/(-40)*(-3)\/105).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*h + 69 + 61. Suppose h*f = 6*f + 2152. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14\/43 - 333\/430. Let k = -2 + 62. What is the common denominator of i and k\/(-8)*(-17)\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6176284678.\nAnswer: 2, 13337, 231547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by 435?\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(272) - -2*(1*sqrt(272) - sqrt(272))) + -2*(0 + sqrt(272)) - (1 + sqrt(17))*-6*1*5)**2)*6.\nAnswer: 9360*sqrt(17) + 74364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -20560*r + 657917. Calculate a(32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 9*f**4\/4 + f**3\/3 - f**2\/2 + 3. What is the units digit of o(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 21\/2, -6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 17, w: 2}. What is prob of picking 3 d and 1 w?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-403402*t - 1646*t**2 + 403402*t)*(-2*t**3 - 2 + 2).\nAnswer: 3292*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 - 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, z: 4, k: 3}. What is prob of sequence gzkg?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 850 and 2225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 3*v - 3*v)*(3*v**2 - v**2 + v**2) + 482*v**3 + 253*v**3 + 1313*v**3.\nAnswer: 2054*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8*k**3 + k**2 + k. Let p = -674 - -673. Calculate f(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 0.9 (c) -1 (d) 4 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2458 = -20*i - 3458 for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1334957*g*i**2 + 9735*g*i + 2*g - i - 2 wrt i.\nAnswer: 2669914*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*v + 991 = -105*v - 17047 for v.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**5\/5 + 12202*x**4\/5 + 4815330*x**3 + 10460903086*x**2\/5 + 4169925008*x + 2082557280 = 0?\nAnswer: -820, -1, 7743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15775953*f**2*t**3 + 2*f**2 + 501*f*t**2 - 5695*t**2 wrt t.\nAnswer: -94655718*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvvddjddvv. What is prob of picking 2 v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.986 and -3.\nAnswer: 17.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 69, 152, 235, 318, 401, 484?\n\"Answer: 83*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-1960) - (-2483)\/(-14014).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2021593 is divided by 40431?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 11. Let z = 0.248 - 0.224. Let v = z + -0.124. Sort q, 0.1, v in decreasing order.\nAnswer: q, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*u - 24, 0 = u + 2*u + 3*l - 18. What is the nearest to 1\/4 in 4, -0.2, 1\/2, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51 and 54?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4843 + -36?\nAnswer: 4808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-60)*(-10)\/35.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**3 - 30*t**2 + 15*t. Let i(m) = m**2 - m. Let n(v) = -v**3 + 5*v**2 + 5*v + 5. Let q be n(6). Let a(p) = q*h(p) - 25*i(p). What is o in a(o) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -7.5 (c) 3087 (d) 1\/3 (e) -1\/2 (f) 2 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98863 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a + 24. Let o be 2\/((-4)\/10)*a\/(-8). Let c be 104\/(-20)*o + -2. Calculate the highest common factor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 106 in 4, 81, 5, -2\/7, -0.084?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 g when three letters picked without replacement from {r: 3, g: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 20*r**2 + 92*r + 97. What is the remainder when 682 is divided by p(13)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-seven fifths of a century?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*j - 33. What is the common denominator of 4\/11 and 3*1\/(27\/j)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 161, 25, -2, 1, 7, 3, 11 in decreasing order.\nAnswer: 161, 25, 11, 7, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -47*g**2\/2 + g - 107. What is n(-1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12, 5, 72, 219, 476, 873, 1440, 2207?\n\"Answer: 5*l**3 - 5*l**2 - 3*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -41. Solve 3*b - 8*b + l = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -11. Suppose -l = -2*m + 3. Let g(q) = -q**2 + 1 - m - 2*q - 2 + 3. Calculate g(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*g + 25 = 0, 2*j - g - 2 = -3. Let n = j + 9. Let f be (-3)\/n + (-5)\/(-2). Solve f*s - 4 = k, 5*k + 3 = 3*s - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2568.41134 + 2572.61. Let d = 4.2 - u. What is d rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in sixty-four fifths of a meter?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -11. Let y = 3165105 - 6836626639\/2160. Let w = -3\/80 + y. Which is smaller: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 11*u + 5580. Is v(119) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 17*q + 8. Let t be b(-7). Let n = t + 277. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e79 (base 15) in base 11?\nAnswer: 7584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/8 - (-231)\/12. Let z(u) = -u**3 + 9*u**2 - 19*u - 2. Let v be z(7). Let f be 3\/6*(1 - v). What is the greatest common divisor of f and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c. Let j(f) = f + 5. Let i be j(-3). Let t(y) = 2*y**2 - 3*y**2 - y**2 - y**i. Determine s(t(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/3 - 7) + 4. Let w = t + 2. Solve w = -3*u + 9, 0 = -i + 4*i - 4*u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9589 rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = -q + 2, 5*d - 5*q - 10 = 0. Let o be (-19 - 0)*(6 - (-5 - -12)). What is the first derivative of -d + o + u**2 + 0 wrt u?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69 times -0.12\nAnswer: -8.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237965408?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 1\/6*s**4 + 0 - 39*s + 43\/6*s**3 + 17\/10*s**5 + 0*s**2. What is the second derivative of u(z) wrt z?\nAnswer: 204*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 68 = 20. Let g = -33 - s. Let u = g - -45. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m**2 + 4*m + 12 + 7*m + m**3 - 2*m**3. Determine f(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - c + (4*c - 2*c + c)*(-2 - 2 + 2) + 3*c - 2*c - 3*c - c - 3*c + 3*c - 57*c + 116*c - 52*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j*l**2*t**3 + j*l*t**3 + j*l*t**2 + 28*j*t - l**2*t**3 + 77*l**2*t*y - 2*t**3*y - 2*t**3 wrt l?\nAnswer: 8*j*t**3 - 2*t**3 + 154*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 96 = 4*f, 0*f + 3*u = 4*f - 94. Let t be 6 + -6 + (1 - f). Let o be 14\/(-4)*12\/t. Solve -10 = -3*x - 2*n - o, -5 = -5*n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 21 = -3*k, -3*k - 4*c + 13 = -11. Suppose -k*j - 483 = -11*j. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1560 - 1450. What is the remainder when w is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(2\/78) - (-6)\/(6\/(-2)). Put 2, h, 67 in increasing order.\nAnswer: 2, h, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2404150 (base 6) to base 15\nAnswer: 27216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 9:59 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 54978440 to the nearest 1000000.\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f - 2*f + 3*f + (0 - 3 + 5)*(5*f - 6*f + 0*f) + 31 - 31 - 5*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112840 = -435*q - 600*q + 167*q for q.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/1061456 and 5\/868464.\nAnswer: 9553104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3715333 - -41?\nAnswer: -3715272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 233320515 (base 7) in base 11?\nAnswer: 8151490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1179\/72 + -17)*34\/(-5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13796900849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*q - 243*q + 444*q + 212.\nAnswer: 2*q + 212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-26) - (626\/(-13) - 2). Calculate the highest common divisor of 4 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/14 + 2\/(-7). Let t be (-2)\/(-6) - (-20)\/12. Suppose 5*m + 40 = -5*o - 5, 10 = -5*m + t*o. Sort b, 1, m in decreasing order.\nAnswer: b, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 11 - (-24 - -40)) + 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51053?\nAnswer: 19, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6640344 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/70633 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2*m - 2 = -2*q, -4*q + 3*m - 11 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -654.1 + 646. Let s = 8.1 + b. Which is bigger: -1.38 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**4 - 1412*z**3 + 4250*z**2 - 2836*z = 0?\nAnswer: -709, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/(-2))\/7*2875\/3500*8.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, a: 2}. Give prob of picking 2 j.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 24?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3434 (base 6) to base 10\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -14\/9, -0.3, 3\/2, -46?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 15*u**2 + 13*u - 11. Let d be t(-14). Suppose -4*w = -d*a - 40, -10 = -3*w + 2*w + 3*a. Solve -2*j - 5*k = -2*k + w, -3*k = 5*j + 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*r + 135, -287*v - 15 = -290*v + 3*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d + 6. Let b(k) = 3*k - 3. Let o(f) = 2*f - 3. Let q(i) = -3*b(i) + 4*o(i). What is 3*c(x) + 7*q(x)?\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 25. What is the derivative of c + 8*m + 13 + 22*m - 10*m wrt m?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95792030977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-28) - (-4 - 3480\/(-224)) - -8?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 x when four letters picked without replacement from {x: 4, z: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/4 and 127\/131364?\nAnswer: 131364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4608 - -4633.87. Round f to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5894 = -31*r - 6545 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 13.230087788121?\nAnswer: 15.230087788121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 1:30 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -200 or -176?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(4\/(-1)*(602\/84)\/(-43)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7674 + 9960. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -12*n**3 - 10*n + 10. Let s be -2 - 6*(1 + -2). Suppose f = s*f. Let q(o) = -o**3 - 1 + 3*o - 4*o + f*o + 2. What is -10*q(l) + x(l)?\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 522*s - 6957. Let j be f(13). Which is the third smallest value? (a) 18 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4 + 33*n**3 + 69*n**2 + 35*n = 0.\nAnswer: -1, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3 + 2. What is the nearest to -5\/6 in 1, w, 1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97054398 divided by -2\nAnswer: 48527199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65\/4, -0.19, -30, -9.\nAnswer: -30, -9, -0.19, 65\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwccwccccc. What is prob of picking 2 c?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2028811 and 551?\nAnswer: 38547409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -873*w - 906*w - 116*w - 184606 = -65221 for w.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*b**5*o - 11*b**3*o - 3*b**2 - 6*b*o - 2*b wrt b.\nAnswer: 720*b**2*o - 66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 1. Let z be n(2). Suppose v + 849991 = -z*l, 2*v - 2*l = l - 1700009. Round v to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, c: 4}. Give prob of picking 1 z and 1 c.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10092*l**3 + 5858 with respect to l.\nAnswer: -30276*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 391626 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5 (b) -1.2 (c) 2\/11 (d) -110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b**3\/5 + 311600*b**2 - 2670808*b\/5 - 890272\/5 = 0. What is b?\nAnswer: -2\/7, 2, 111284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 8520.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -341*j**3 - 6*j**2 - 34*j + 18. Let f(w) = -1022*w**3 - 17*w**2 - 97*w + 51. Give 6*f(l) - 17*n(l).\nAnswer: -335*l**3 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51577521?\nAnswer: 3, 31, 554597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 970 and 1140.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 562907.34ms to hours.\nAnswer: 0.15636315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 710 and 3188?\nAnswer: 1131740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-24)\/8 - -8. Let h(n) = 8*n**3 - 17*n**3 - n**3 - 6*n**x + 7*n + 11*n**3. Calculate h(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10220 (base 4) to base 13\nAnswer: 19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017261486 rounded to 7 decimal places?\nAnswer: 0.0001726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -25. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 445*r - 444*r - 173. Let t(h) = 2*h**2 + 15*h + 12. What is the remainder when r is divided by t(-11)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -91866*k + 1194261. What is m(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-788)\/13002*(-2 - -1).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -205, -5, -4, 22251, 0 in descending order.\nAnswer: 22251, 0, -4, -5, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11f0a + -4?\nAnswer: 11f06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 4, 117, 6\/11, 2\/5, -2\/19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 51 + 384 = 0. Suppose 3*x - m = -q - 0*q, -q = 0. Suppose -5*k + 13 = -x. Calculate the least common multiple of k and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 14*w**2 - 5*w**2 - 2786*w + w**2 - 8*w**2 + 29*w**2.\nAnswer: w**2 - 2786*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 9*w**3 - 97742*w**2 + 148096920*w - 32905600 = 0.\nAnswer: 2\/9, 1820, 9040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 3*n - 87, -5*f + 71 = -2*n + n. Let r(h) = h + 4. Let v be r(-3). Let t be 118\/v - (-1 + -1). Calculate the highest common factor of t and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 11*j**2 + 2. Let z(v) = v**3 - 6*v**2 - 9*v + 3. Let b be z(7). Let u be s(b). Solve -3*a = -2*a - 2, -5*q - u*a - 6 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**2. Let r(t) = 7*t**2 + 123*t + 3*t**2 - 123*t. What is m(r(c))?\nAnswer: -300*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 0.2 (c) 2 (d) -4\/7 (e) 116133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -9. Let a(m) = -6*m**2 - 3*m + 4. Let x(l) = l**2 + l - 1. Let o(h) = d*a(h) - 10*x(h). Determine g, given that o(g) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u + 52. Calculate the lowest common multiple of v(20) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 5*a - 87, -a + 453 - 362 = 4*j for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4*d = -783 + 787, 2*d + 32 = 9*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 198161816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -336.532\nAnswer: 33.6532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 166 and 18.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -588 + 653. Solve -61 + u = -4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 2*u - 850, -4*b + 3*u - 249 = -936. Suppose -476 + b = -7*d. Let z = 7 - 3. Calculate the highest common divisor of d and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {o: 1, b: 4, q: 2, s: 3, e: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 78 + 49\/2*s**2 - 11\/6*s**6 + 0*s**4 - 2*s - s**3 + 0*s**5. Find the second derivative of w(y) wrt y.\nAnswer: -220*y**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 735 + 3?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 3 - (25 + -13 - -3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 v when three letters picked without replacement from vvbvvvvvvvvbv.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 10:50 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2723.183 tonnes in kilograms?\nAnswer: 2723183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9\/20, 1, -0.00029?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 36 = -24 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**5\/120 + 143*a**4\/24 + a**3\/6 - a**2. Let m(g) be the first derivative of p(g). Is m(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6279079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 196 divided by 2\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 3*z + 2. Let g be a(-2). Let q = 64 - 38. Suppose -6*n = -n + 10, 3*n + q = 5*t. Solve 4*w - 3*x + 10 = -g*x, 2*x - 16 = t*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -4)*6\/(-4)*(-438)\/40077?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*((-92)\/(-6) - 15). Solve 3*r = p - t - 5, 0 = -5*p + 4*r - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c + 6, 33 = 4*o + 5*c. Is o less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 186*a**4*f - 2*a**3*f - 573*a**2*f - 6*a - 5*f wrt a.\nAnswer: 4464*a*f - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**5\/60 + z**4\/24 - 5*z**2. Let q(p) = -5*p**2 - 4*p - 3 + 34*p - 72*p + 34*p. Give 6*o(c) + q(c).\nAnswer: c**2 - 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 926447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 4*v + 32, 2*b + 4*v = -4 + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*v - 4. Let t(y) = 7*y**3 + 3*y**2 - 7*y + 2. Let x(j) = -6*j**3 - 2*j**2 + 6*j - 2. Let m(q) = v*t(q) - 5*x(q). Factor m(z).\nAnswer: 2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 398, 817, 1236, 1655, 2074, 2493?\n\"Answer: 419*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2\/24030717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r - r. Suppose r = -16*k + 13*k + 12. Solve 5*f + k - 19 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.6 - 3. Suppose 0*h + 1 = h. Sort h, 0, m.\nAnswer: m, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 times -0.5?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.69 * -0.5.\nAnswer: 0.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-168)*72\/40\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 + -14.03. Let q = k + 17. What is the second smallest value in 0, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -2 (c) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f + 9 = 2*c, 2*f = -c - 8. Suppose d + 131 = -5*x + 339, c*x - 868 = -4*d. What is d rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2930, -3889, -6480, -11519, -19822, -32205?\n\"Answer: -136*m**3 - 7*m - 2787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y - 125*y + 2450 = 0. Solve 194 = y*g + 244 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -531 greater than -2657\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 - 420*s + 8652. Determine w(36).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 452, 627, 804, 983?\n\"Answer: o**2 + 172*o + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*s**5 + 7*s**2 - 42*s - 3 wrt s?\nAnswer: 600*s**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -278365*b + 302433?\nAnswer: -278365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 2:14 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -6*n**3 + 3237*n**2 + 1620*n = 0.\nAnswer: -1\/2, 0, 540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8170, 11485, 14800, 18115?\nAnswer: 21430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5\/12)\/y**21)\/(y**(-1)\/y**35))**(6\/17) assuming y is positive.\nAnswer: y**(175\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8657 + -4?\nAnswer: -8662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 570, 580, 604, 648, 718, 820?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 10*o + 76. Let k = 16 - -25. Suppose -57 = 14*s + k. Let m be g(s). Solve -2*a + 8 = -v, m*v + 3*a - 13 = 7*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 37 - 2*j - 20 + 2*j + 3*j.\nAnswer: 6*j + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5227152649872 - 5227155217003.809863. Let j = a - -2567134. Let u = j + -2.19. What is u rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - w**2 - w + 28. Let n = 10 - 0. Suppose 4*z - 5*z = -n. Calculate the remainder when o(0) is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 2*j + 7. Let r(s) = -7*s**3 + 7*s**2 + 22*s + 26. Let y(h) = -6*f(h) + r(h). Give y(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23763\/37 or -4?\nAnswer: 23763\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -766\/2405 + 2\/185. Suppose 0 = z - 9 + 10. Which is the biggest value? (a) j (b) 0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.7 + -0.7. Let r = -1.913 + 1.613. What is the fourth biggest value in r, -2\/9, 0.4, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**7)\/(d\/d**9*d)*d**(-1\/5)\/(d\/(d**(1\/3)\/d)) assuming d is positive.\nAnswer: d**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -258 - -122?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*k = 64, v + 5*k - 140 = -3*v. Let w = v - 119\/3. Which is the nearest to w? (a) 4 (b) 1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*c = 22*c + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15240000 rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49666 - 34237 + 31548 = 903*u - 35196 for u.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p + 7*p + 9 = -3*u, 2*p - 5*p - 6*p = -2*p - 3*p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*v + 12 = 0, -13*v = -5*q - 18*v + 30. Solve 3*z + 1 = -q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45868457371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 703 + -734. Put 0.3, 2\/9, o in ascending order.\nAnswer: o, 2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 4. Let a be r(3). Let w(m) = 12*m - 22. Does 6 divide w(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyqxxtqfmyqqmxmyf. What is prob of sequence ffx?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.9 + 0.1. Let k = -12 + w. Let n = k - -0.9. Which is smaller: -3 or n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346164596 to the power of 1\/2, to the nearest integer?\nAnswer: 18605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + -5. Let v be 0 - (p + 1)*8. Suppose -5*q + 2*b + 255 = 0, -q + b + 2*b = -v. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 558a1 (base 13) to base 11\nAnswer: a6728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*i + 2 = 0, -x - 16 = -6*x - 2*i. What is the second derivative of 11*m**4 - m**2 + 1 - 9*m + 0*m - 19*m**4 + 9*m**x wrt m?\nAnswer: 12*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a = 6. Let h(z) = 2*z - 2. Let k be h(3). Solve -k = -a*p, -7*o - 3*p = -3*o - 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -98248992 and -5?\nAnswer: 98248987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 11*h - 7. Let a be p(10). Suppose 8*b = a*b. Let l be (1 - 1) + (0 - b). Is 3 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*p - 73. Let j be (2\/p*1)\/(4\/24). Let m be (-5)\/((-120)\/(-9))*j. Which is the second smallest value? (a) -0.1 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 6720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 590?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 57*y - 43. Calculate the smallest common multiple of 4 and f(3).\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*q - 72133*q**2 + 36077*q**2 + 36049*q**2 + (-3 + 3 + q)*(0*q + 2*q - 4*q) to o + k*q + v*q**2 and give k.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 398600708 + 195\nAnswer: 398600903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17925439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -196, 4, -5, 3 in decreasing order.\nAnswer: 4, 3, 0, -5, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1653.99*-19.14.\nAnswer: -31657.3686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60624684*d**4 + 16*d**2 + 1185903*d.\nAnswer: -1454992416*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43.14 - 48.14. Let d = -0.9 + 1. What is the closest to y in d, -1\/5, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 7264?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4172, 8347, 12522, 16697, 20872, 25047?\nAnswer: 29222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -215743*f**3*r**2*u + 2*r**2 + 109*r + u + 257 with respect to f.\nAnswer: -647229*f**2*r**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 847 and 1617.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5551 and 82411?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -28, -15988 in decreasing order.\nAnswer: -7, -28, -15988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -248 times 2\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 416949606 divided by -100494?\nAnswer: -4149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 148*m + 338 = -7782 for m.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1265710292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 57*q + 13 = -55*q, 5*q = -5*w + 85 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5257*j**2 + 18*j + 36. Let o(a) = 5258*a**2 - 16*a - 32. Determine 8*b(g) + 9*o(g).\nAnswer: 5266*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a week in hours?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u. Let p(b) = -20*b + 29*b - 12*b**2 - 24*b. What is p(r(o))?\nAnswer: -48*o**2 + 30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18139 and 34?\nAnswer: 36278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 4. Suppose 0 = 73*d - 72*d - 7. Determine k(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -2. Let t = 9 + j. What is the second biggest value in 0, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000260431915 rounded to seven dps?\nAnswer: 0.0002604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**8\/4200 - o**7\/525 + o**6\/75 - 220*o**3\/3 - 231. Let w(m) be the third derivative of x(m). Suppose w(a) = 0. What is a?\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/4)\/5*-12. Is 17\/3 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 725.95 + 0.037.\nAnswer: 725.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -5 (c) 56 (d) -0.04 (e) -0.05 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t**(-12))*t**(-9))\/(t**(1\/3))**18 assuming t is positive.\nAnswer: t**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -40803, -81606, -122395, -163164, -203907, -244618?\n\"Answer: z**3 + z**2 - 40813*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**3 - b + 3. Let o be t(1). Sort 1, 31, 3, o in increasing order.\nAnswer: o, 1, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51195786 to the nearest integer?\nAnswer: 7155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*a**2 - 111*a**2 - 2*a + 98*a**2 + 2 + (-4 + 4 + a)*(a - 2 + 2) in the form d + v*a**2 + u*a and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2009555, -4019119, -6028683?\n\"Answer: -2009564*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g + 6. Let o(c) = 3*c + 3. Let l(m) = -13*m - 13. Let v(p) = -4*l(p) - 18*o(p). Give 8*v(f) + 3*y(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**2 - 88*k - 35. Determine c(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(19) - sqrt(209)\/(sqrt(539) - sqrt(11))) + -3).\nAnswer: -15 + 25*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) + 1*sqrt(77) - sqrt(77) - sqrt(77))*4 - -1*sqrt(77)*3)\/(((2*sqrt(70))\/sqrt(2))\/(sqrt(5) - 2*sqrt(320))))**2.\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 41666 = -20*o + 41886, 0 = 2*t - 4*o - 124 for t.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4\/((-40)\/(-15)*1\/4) and ((-4)\/5)\/((-2)\/10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49.5 + 49.53. Let d = a - 17.03. What is the nearest to 1 in 2\/3, 0, d, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -23*i + 9*i. What are the prime factors of 184 + i\/(-4 - -6)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 e when four letters picked without replacement from eeeeeeeeeeeeeeeeeep.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 5) + 20 + -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1591263920.\nAnswer: 2, 5, 17, 317, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 6*i + 1. Let a be 8\/((-20)\/5) + 8. Let m be l(a). Let k(q) = -q - 14 + 3*q**2 + 14. Determine k(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2425, -4820, -7199, -9562, -11909, -14240?\n\"Answer: 8*v**2 - 2419*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1026)\/(-47709) + 856\/558.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -40411, -3, 3, 9 in descending order.\nAnswer: 9, 3, -3, -8, -40411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -12*r. Let z(f) = f**2 - 10*f - 12. Let k be z(11). Calculate t(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 109 = 87. Let n(b) = -b**3 + 65*b**2 - 61*b - 187. Let t be n(64). Solve -3*w = 3*i - 24, 4*w + t*i = -13 + g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 797622 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17210, -0.1, 1\/5, -0.03, -0.05?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 0.0315, -4?\nAnswer: 0.0315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7004 - -12265. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2. Suppose 5*k = j + 19, -j - 2 = -3. Let n(d) be the third derivative of 0*d + 2*d**2 - 1\/60*d**5 + 0 + 0*d**3 + 0*d**k. Determine m(n(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(1029) + sqrt(1029)*5 + sqrt(1029))*4)\/(sqrt(84)\/(sqrt(12) - 1*(sqrt(108) + sqrt(12)))).\nAnswer: -588*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + 0\/2*26\/52. Solve t = c, -4*o + t = -t + 28 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(88)*6)\/(sqrt(392) + (sqrt(392) - 1*(sqrt(392) - 2*sqrt(392)))).\nAnswer: 8*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 + -25.06. Let x = o - -24.7. Let s = -0.2 + 0. Which is the smallest value? (a) s (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 162 = -2491. Let j = -1779\/13 - m. Factor 20\/13*o**2 + 0 + 108\/13*o**4 - j*o - 72\/13*o**3 - 54\/13*o**5.\nAnswer: -2*o*(o - 1)*(3*o - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9\/21 + 1332624\/84 - (4 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0 + 1. Let s be -5 + 2\/(-10) + (-24)\/(-20). Let n(y) = -y. Let f(b) = 5*b - 1. Let u(p) = s*n(p) - f(p). What is u(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - h - 1. Let a(i) = -5*i**2 + 3*i + 2. Let g = 105 + -88. Suppose g*d = 24*d. Suppose -43*l + 48*l - 5 = d. What is l*a(f) + 4*p(f)?\nAnswer: -f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwsh when four letters picked without replacement from swhshwshssssh?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 8*y - 7. Let d be o(-7). Suppose d = -5*b + 19 + 1. What is the remainder when b is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -97*d - 2?\nAnswer: -97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*x + 202005, -2*l - 49193 + 170392 = -3*x. Let h = x - -151903. Round h to the nearest one thousand.\nAnswer: 112000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 - -83 - (-2 + 1) - -17?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 1.75\nAnswer: -8.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**4\/4 + k**3\/3 + k**2\/2 + 4*k - 10. What is g(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5029 - -1403095\/279. Let j = 34\/31 + y. What is the closest to -6 in 0.5, j, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -197 or -151?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -957 = -4205*g + 4118*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(2) - sqrt(72)) + -2 + 1 + sqrt(2) - (-1*sqrt(72) + sqrt(72))*-1*4) + -1)**2.\nAnswer: -104*sqrt(2) + 1356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - -2 - ((52 - (-38 - -84)) + (2 - 18)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/15, -0.12, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1131 - 1096) + -17 + -1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w**2 - 26320*w + 26337*w - 3*w**2. Suppose 0 = -z - 0*z + 5. Let p(h) = -3*h**2 - 11*h. Suppose 0 = -3*a + 7*a - 32. Calculate a*p(q) + z*j(q).\nAnswer: q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 74*(-4)\/76.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 5 = 5*c. Solve -3*i + h - 31 = 5*h, -17 = 5*i - c*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/(-8))\/(2\/(-20)). Suppose -9*a = -4*a + x. What is the tens digit of (124\/(-6))\/(4\/a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 425, 1640, 3685, 6560, 10265?\n\"Answer: 415*p**2 - 30*p + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25620080 - -27?\nAnswer: -25620053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 738*o**3 + o - o + 746*o**3 - 1485*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - v - 2 = 9, -2*l - 4*v = 16. Let i be 3\/2*l\/(-3). Let q(z) = 4 - z**2 - i - 4*z + z. Determine q(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*h - 3733*h - 95779 = -14*h + 71201 for h.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -4*c + o, 3*o = -43*c - 249 - 55 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*v, -3*v = 2*p - 32 + 11. Let j = 34 + -14. Suppose 5*u + 30 = 5*t, -p*t + 5*u + j = u. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 53*t**2 + 167*t + 76. What is the smallest common multiple of g(56) and 114?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788 is divided by 776?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 354*h**3 - 73274*h**2 + 1018692*h + 11520 = 0.\nAnswer: -2\/177, 15, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-9))\/(((208\/364)\/((-25)\/(-35)))\/4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2211936.\nAnswer: 2, 3, 23041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 + -11. Let g = 31 - 23. What are the prime factors of (q\/g - 2)*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(405) - (sqrt(405) + -2 + (sqrt(405) + -1 - sqrt(405) - sqrt(405))**2) - (sqrt(405) + -3)*5).\nAnswer: -388 - 63*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a581 (base 15) to base 2.\nAnswer: -101101100111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2286420 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.84 - -12.34. Let x = u + -11. Let r = -11 - -8. Sort -2, x, r in decreasing order.\nAnswer: x, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1359391 is divided by 9506?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4\/9)\/c**(-22)*(c**(-8))**(-2\/3) assuming c is positive.\nAnswer: c**(242\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4 = j, 3*p = -9*j + 11*j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11270 and 50?\nAnswer: 56350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + t**2 + t + 1. Let v be m(2). Let k = 2 - v. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7)\/((-28)\/16) - -63?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4894, -4559, -3998, -3211, -2198, -959, 506?\n\"Answer: 113*n**2 - 4*n - 5003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 287403*b**4 - 856784?\nAnswer: 1149612*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/22 and 37\/24043.\nAnswer: 528946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/40193 and 21\/4?\nAnswer: 160772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25123.5 + 0.059.\nAnswer: -25123.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*g - 3*g - 45, 0 = -2*g + 5*p - 135. Is 14 a factor of g\/(-15)*97\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-70)\/10 - -17383*1 - 3. Round i to the nearest one hundred.\nAnswer: 17400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -371 - -372. Let a = 2.0329 - 0.0329. What is the nearest to 1 in 8, a, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, e: 2, c: 2, i: 2}. What is prob of sequence sc?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (9\/(63\/49) + 9 - 3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, l: 4, k: 6}. Give prob of sequence lkkl.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 s when three letters picked without replacement from rrqfdprrqpprfdfpfdds?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 40*v - 37*v + 22*v + 10*v to the form d + t*v and give t.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2*v = x + 10, -2*v = x + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 408\/(5 + 1) + 54\/(-9). What is the highest common divisor of t and 434?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.3 (b) -3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.029, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**6\/60 - v**5\/10 - v**4\/3 + 37*v**3\/6 - 81*v**2. What is the units digit of m(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (72\/(-3))\/(-4) - -4. Suppose -n = -6*d + 4*d. Let r be (-6)\/1*3\/(-9). Solve k = -2*m + r, 0 = -d*m + k - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9c243c - -3c?\nAnswer: -9c2400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 2*a + 5. Let c be o(3). Let h be -1 - -3*(-3 + c). Which is greater: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 237810 divided by 118905\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*(sqrt(272) + 6*sqrt(272)*1)*-6 + 0 + 2)**2.\nAnswer: 672*sqrt(17) + 479810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 2511, 2506, 2501, 2496, 2491, 2486?\nAnswer: 2481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - d - 1321760 + 1321762, 4*z - 31 = -5*d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1078) + 1*sqrt(1078)*3)\/(sqrt(121)\/(sqrt(44)*2)).\nAnswer: 5 + 112*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 18*m + 2*m + 6 - 4*m as d*m + y and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139581495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 5. Suppose 3*c = 4*s + 186, 2*c + 4*s - 210 = -c. Let w = 71 - c. Solve -b = -w*z + 4*r - 4, 0 = 2*z - r + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1510 divided by -6799\nAnswer: 1510\/6799","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -372, -399, -434, -477, -528, -587?\n\"Answer: -4*q**2 - 15*q - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) 696471 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*u + 3 - 0, 24 = 3*m + 5*u. Suppose -p = m*z - 11, 5*z - 4*p - 29 = -3*p. Suppose 0 = z*i - b - 239 + 4, b = -2*i + 101. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -319 + 11?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7265.\nAnswer: 5, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1005*j - 15253 = -6208 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*b**2*u**3 - 7*b**2*u**2 - b**2 - 319*b*u**2 - u**4 + 4344*u**3 - 2*u**2 wrt u.\nAnswer: 60*b**2 - 24*u + 26064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 788799 greater than 788798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6142, 6145, 6148, 6151, 6154?\n\"Answer: 3*c + 6139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3082 = -4*d - 2*n - 634, 3*d - 2*n - 1836 = 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 36 = -3*c, -691*i - 4 = -695*i - 3*c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030 (base 4) to base 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37085 by -7417.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -34. Let s = -15 - k. Which is the closest to s? (a) -3 (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (394*r - 153*r**2 - 568*r**2 - 394*r)*(0*r + r + 0*r).\nAnswer: -721*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v**(4\/3)\/v)\/v)*v**(1\/3)*(v**0*v)\/(v\/(v\/v**(-1\/7)))*((v\/(v*v*v**(1\/3)*v*v))**(1\/2))**(-3\/10) assuming v is positive.\nAnswer: v**(51\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204785 and 70.\nAnswer: 409570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 4:04 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 17\/2 (b) -2\/13 (c) 0.17 (d) 2\/11 (e) 51 (f) -3\/4 (g) -0.134\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*l + 162975 = -45438. Does 83 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -919016*o**2 - 2462*o**5 + 928061*o**2 - 5062*o**5 wrt o.\nAnswer: -451440*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4722 + 46881. What are the prime factors of o?\nAnswer: 3, 103, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2609 - 445 = -102*f + 2207 + 349 for f.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 8. Let h be ((-1)\/(-1) + 10)*p. Suppose 0 = -7*d + 6*d + h. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -7 + 33 + -16.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127 + 633\/5. Let s = -51 + 48. Let t be 0 + ((-14)\/30)\/7. Sort c, s, t.\nAnswer: s, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 9:57 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + sqrt(4)\/sqrt(2))**2 + 4 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 292785.0964 rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**5\/8 + 19*f**4\/2 - 79*f**3\/2 + 40*f**2 = 0.\nAnswer: -80, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*k + 2*q, 20*k + 4*q - q + 29 = 0. What is the fourth smallest value in k, -1\/4, -23, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 20 = 0, -5*q - 2*d = 3*d - 1635. Let m be (q\/(-49) + -2)\/((-2)\/14). What is the greatest common divisor of m and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75*g - 15*g - 720 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmjf when four letters picked without replacement from fmfmfmmjjmmmmmm.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 8:56 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3291\/21940)\/(((-9)\/150)\/(2\/8))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 9 = 3*b. Let q(w) = 1 - 2*w**3 + 0 - 4*w**2 + b*w**2. Let a be q(-1). Solve 1 + a = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s + 90 = 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y**2 + 15*y + 14. Give j(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u - 3. Let l be t(-2). Put -1, -2, l, 3 in increasing order.\nAnswer: -2, -1, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 48*z**2 - 4*z - 5. Let h(g) = 192*g**2 - 15*g - 21. Let o(c) = -5*h(c) + 21*k(c). Find the second derivative of o(q) wrt q.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2, 1, 0.9, 64?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 394 + -261. Let o = -43 + d. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 - -296. Let o = p - 181. Which is greater: o or -2\/131?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -1 + 1\/2*a**2 - 8\/3*a**3 + 0*a. Suppose -2*d = -2*z + 87 - 91, 0 = -5*d + 15. What is g(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 2*n = 6, -2*n + 3*n + 9 = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3084 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + 2*x - 2. Suppose -3*h = 2*i, 4*i + 0*h + h = -10. Determine z(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z - 36. Let w be g(11). Suppose -23*b = -w*b - 900. What is the remainder when 297 is divided by b?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - s = -85, -2*g + 13827*s + 110 = 13823*s for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 40 - 2*w**2 - 2*w**3 + 40 + 7*w - 71. Let h(d) = 2*d**3 + 2*d**2 - 6*d - 8. Calculate 6*a(n) + 7*h(n).\nAnswer: 2*n**3 + 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - (-56)\/24)\/(778\/(-36)). Is 0 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/320)\/(6\/(-8))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-855)\/57 - (3 + -20))*(-109)\/(-2)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 7*g**2 + 6*g + 2. Let o be (4\/3)\/(60\/270). Determine a(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 486*f**2 - 1482*f - 15938. What is m(-483)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 0. Let h be (c + 2)*2\/5. Let u = 15.4 - 15.3. What is the nearest to u in h, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - 2. Let x(l) = l**3 + 8*l**2 + 7*l - 5. Let z be x(v). Which is the closest to 0? (a) z (b) 2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 9*g + 6. Solve g*u - 9 = 0, -3*c + 0*u = 5*u - 18 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1360406, -2720811, -4081216, -5441621, -6802026?\nAnswer: -8162431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*l = -817*l + 5113 + 11865 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 31, 54, 81, 112, 147?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 143, 4368, -3 in increasing order.\nAnswer: -3, 24, 143, 4368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/3)\/18*1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 790.633 to one dp.\nAnswer: 790.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v**2 + 54*v + 109. Calculate d(-7).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z + z. Suppose 2*h = -z*h, 0 = 2*p - 3*h - 10. Solve p*m + 4 = 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8231?\nAnswer: 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s. Let c(w) = w**2 - 7*w + 7. Let i be c(5). Let y = 6 + i. Let d(g) = -y - g - 2 + 5. What is b(d(r))?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 175)*9\/18. Let b = -62 + p. Does 25 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5245730 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 46 = -48 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -22 (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7689 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 14*i + 6. Let m(o) = 13*o + 5. Suppose 0 = 43*w - 182 + 10. Calculate w*r(h) - 5*m(h).\nAnswer: -9*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*p**2 + 17*p**2 - 3*p**3)*(4*p + 3 - 3) + (0*p + 0*p - p**3)*(-1 - 2*p + 1) - 2*p**4 + 0*p**4 + 3*p**4.\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-2) + (9 - 6). Suppose -2*x + o*b = 6*b - 307, 3*x = -3*b + 462. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*k - 11*k = 59 - 294. Solve 3 = -91*h + 90*h + 2*w, h = 3*w - k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 20*h = x - 952, 3*x + 4*h = 2913. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-78))\/(6\/9).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 326 - 329. Let p(i) = 3*i**2 + 5*i + 12. Let a(u) = -u**2 - 2. Let y(n) = 2*a(n) + p(n). Determine y(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, e: 1, d: 2, u: 8}. Give prob of picking 1 u and 1 d.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*k - 90. Calculate the greatest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 + -213513?\nAnswer: -213543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0304, 45, 3\/25, 27, -0.4?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-4\/3)*w*w*w)**(-9\/5)\/(w\/(w**30*w))**(5\/4) assuming w is positive.\nAnswer: w**(327\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 + 13*j + 1173*j**2 - 1343*j**2 + 2 - 5*j**3 in the form f + s*j**3 + y*j**2 + b*j and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*o - 5*o + 13*o to f*o + b and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-9)\/(h\/h**(-5))*((h*(h\/(h**11\/h)*h)\/h)\/h)\/(h*h\/((h**7\/h)\/h)) assuming h is positive.\nAnswer: h**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(3)*-2)\/sqrt(12).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 4*u + 5. Let r be b(-4). Suppose 4*v + 4*y - 12 = r*y, 0 = -4*v + 4*y + 12. Solve 0 = -3*d + 9 + v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 1. Let q(z) = 2 + 3 - 5 + 1. Let k(n) = -n**2 + 12*n - 4. Let b be k(11). Suppose 2*p = -i + 3, b - 3 = p + 3*i. Give p*f(d) - q(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 101*f - 19870 - 40346 - 36744. What is the greatest common divisor of 800 and f?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2008 divide 1841588552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*t - 312 = 4*t + 2559. What is the greatest common divisor of t and 405?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*v - 7 - 3 = 0, -3*v = 5*f - 21. Let g = -20 - -11. Let j = g + 9. Solve 5*l + 12 + f = j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 68. Suppose 0 = -4*n - 2*g - 3*g - 60, 0 = -3*n - 4*g - l. Which is bigger: 2\/5 or n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084031 is divided by 290.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*(y\/(y**(-1)\/y*y))\/y*y*y\/y**(-5\/3))**(-3\/10)\/(y**(-10)\/((y\/(y\/y**3)*y)\/y))**11 assuming y is positive.\nAnswer: y**141","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 g, and 1 h when three letters picked without replacement from {v: 1, g: 3, t: 2, j: 1, h: 3, q: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/((-4)\/(-2)) + 1602. Let t be 1604 - (22 + -14 - 4\/1). Find the second derivative of 4*r + 7*r**2 - c + t wrt r.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -1\/13 (c) 3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3 = 0, 4*k - 3 = -5*l + 10*l. Solve 4 = -3*m - k*o, -2*m - 5*o + 8 = -o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 179*n + 23 = -180*n, v + 11 = -5*n. Solve -2*b = -k - 8, 4*k - 7 = b - v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.3 - -0.7. Let f = i + -4. Let z = 0.07 + -3.07. What is the nearest to f in 2\/9, z, 4\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - -1. Let t = 26 + -14. Let q = t + 37. What is the remainder when q is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 0.018\nAnswer: -0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1250 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6044 (base 12) to base 2\nAnswer: -10100010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12601 + -8841. 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 remainder when 105 is divided by 48?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -417 + 417.02. Let m = 2\/35 + -212\/2485. Which is smaller: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1637, 1636, 1635, 1634?\nAnswer: 1633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.155, -3.2.\nAnswer: -3.2, -0.155, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/336220 and 69\/2380.\nAnswer: 40010180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*(sqrt(114)*-1 - sqrt(114)))\/(-6*1*sqrt(6)).\nAnswer: 10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + f**2 - 1. Let q(a) = 4*a**2 + 1. Let o be q(1). Suppose o*p = -8 + 33. Let n = -5 + p. Determine t(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 920400 a multiple of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 19325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 112*y**2 - 610*y - 260. Calculate k(6).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**8\/168 + x**5\/60 + 10*x**2. Find the third derivative of j(g) wrt g.\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 429 + -418. Let f(x) = x**2 - 6*x - 51. Let o be f(v). Suppose 3*z - 19 = -4*g, 3*g = -7*z + 3*z + 16. Calculate the highest common factor of o and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/52 and 109\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 24 = -26 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -96 - 4. What is the highest common factor of r and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, i: 3, m: 2, s: 6, d: 1, z: 2}. What is prob of picking 1 i and 2 m?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/174)\/((-7)\/(-2))*1\/(-2).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -8 + 21 - v - 13. Let z(o) = 3*o + 3 + 3 - 6. Calculate z(l(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/81 and -32\/27.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 u, and 1 d when three letters picked without replacement from dshzxsu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c - -d?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14483282?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -63, -44, 45, 228, 529?\nAnswer: 972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 + 3*k - 4. Let s be z(-3). Suppose -2*g + s = -0*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4404744 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/5 + 125956*g**2\/5 - 503664*g.\nAnswer: -2*g*(g - 62958)*(g - 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h + 6 - 17 - 3*h to the form r*h + x and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 560*d**3*g**3*t + d**3*g**2*t**3 - 160*d**3*t - 1348786*d*g**3*t**3 - 2*d*g**3*t**2 wrt t?\nAnswer: 6*d**3*g**2 - 8092716*d*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*c**3 + 450*c**3 - 225*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 35*r + 66. Let a be l(-2). Put a, -59, 1, -5 in increasing order.\nAnswer: -59, -5, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5988023 <= -5988157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6 - 2\/6. Let n(f) = -f + 1. Let p be n(2). Let r be (-1)\/p + 2 + 1. Solve r*v + 20 = 5*l, 3*v - v + 2*l + 10 = g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -836*r**2 + 11464*r + 2112.\nAnswer: -4*(11*r + 2)*(19*r - 264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 23. What is the common denominator of (1995\/(-66))\/p - -3 and 139\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5, -56, -203, -478, -923, -1580, -2491, -3698?\n\"Answer: -7*u**3 - u**2 - 9*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 631897 or 2527583\/4?\nAnswer: 2527583\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -12*s**2. Let v be -1 + -1 + 24\/6. Let h(w) = 0*w**2 + w**v - 4*w**2 + w**2. Determine h(p(j)).\nAnswer: -288*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -13*b + 64. Let t be (-1)\/(b\/(-36)) - (2 + -5). Differentiate 85 - 49 + 6*y + t*y wrt y.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/7 - 5\/21. What is the nearest to x in 2\/13, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 16 = 4. Let z = 21 - g. What is the nearest to 2\/3 in 5, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-53561)\/228 - (-1)\/4)\/(22\/(-165)) and 20.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/65? (a) 0 (b) 1\/12 (c) -2 (d) 67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*sqrt(77)\/sqrt(7) + 3 + 5)**2.\nAnswer: 32*sqrt(11) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 4625959*c**2 - 5349871854440*c - 5349876480400.\nAnswer: -(c - 2312980)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*r - 56 = 0, -4*d + r = -7*d + 26. Let m(s) = 3*s**3 - 2*s**2 + s + 1. What is the remainder when m(2) is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.01 and 4134886?\nAnswer: 4134886.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 9:57 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03442 + 0.26558. What is the third smallest value in o, 0.2, 1.1, 4?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -5, 39, -8386 in ascending order.\nAnswer: -8386, -5, -0.03, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70400551179*q**3 - q**2 + q**2 + 70400550543*q**3.\nAnswer: -636*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -5. Which is the closest to j? (a) 4\/3 (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2250432cm to micrometers.\nAnswer: 2250.432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*a + 6 = 0. Suppose 0 = 3*b + a, f - 2*b = b + 18. Let c(q) = -2*q - 1. Let y be c(-2). Solve -y*i + f = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-20)\/6)\/(4\/(-78)) is divided by 133\/(5 - -2) + 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 >= -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r = r + 60 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30381, 30386, 30395, 30408, 30425, 30446?\n\"Answer: 2*j**2 - j + 30380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 130608 - 89110. What are the prime factors of s?\nAnswer: 2, 20749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 14 - 11 = 0. Suppose p + 112 = b*p. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-5 - (-2 + -1)). Let p be 2*(-4)\/(-8)*q*0. Let m be 10 - 6 - (p - -2)\/(-2). What is the third biggest value in 3, m, 0.4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2444 = -3*d + 6732, -4*d + 4*g + 5716 = 0. Does 45 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 12*k**2 + 2*k + 23. What is the remainder when 139 is divided by n(12)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1837266, -1837264, -1837262?\nAnswer: -1837260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38015 - 2737151\/72. Calculate the common denominator of g and 163\/126.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + i + i + (-1 + 1 + i)*(-2 - 1 + 0) - 4 - i + 4.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9*-13*9\/(-27). Let w = 3 - n. List the prime factors of (-320)\/(-18) - 8\/w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1356*z + 5581 = 6520 + 4842 + 32187 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6238599 millilitres?\nAnswer: 0.0006238599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3 + 0*a**3 + 10 - a**3 - a**3 with respect to a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 775.0331 micrograms in grams?\nAnswer: 0.0007750331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 7*a + 35. Suppose -51*l + 53*l - 518 = a. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4207 and 16422.8978.\nAnswer: 20629.8978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 10 = 2*j. Suppose -j + 12 = 2*s. Suppose 0*y + s = y. Sort 1, 4, y in descending order.\nAnswer: y, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 735.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1857 - 9288\/5. Let z = -0.9 + 0.6. Let i = z + 0.4. Which is the smallest value? (a) i (b) n (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/99*3 + (-596)\/(-11). Let t be 7\/(14\/s) + -4. Solve 0 = -w - 5*a - t, 4*w - 4*a = -2 + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57284, -116520, -175748, -234962, -294156, -353324, -412460, -471558?\nAnswer: -530612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13355\/11 + 1219. Suppose 6*t = -2*t + 32. Is t at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 + (-6 - (-70 + 0))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 1)*(-7)\/(-2). Let h = o + -5. Suppose 3*i - 11 = -2. Does h = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17 + (4 - (2 + 3)). Let f(t) = 4*t**2 + 14*t + 13. Let c be f(-6). Let i = 87 - c. Which is smaller: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61858288 by 4.\nAnswer: 15464572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 298.47 to the nearest 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2589, -0.2, 2, -1\/309, 11.\nAnswer: -0.2, -1\/309, 2, 3, 11, 2589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 0)\/(2\/(-10)). Let n(p) = 5*p - 13. Let y be n(4). Find the third derivative of 7 + a**b + a**2 - y wrt a.\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5164260*v**3 + 539*v - 7055 wrt v.\nAnswer: 30985560*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(0*r**5 + 3*r**5 - r**5) - 16*r**5 - 3*r**5 - 6*r**5.\nAnswer: -27*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*u = -25, 0*a - 4*u = a - 28. Calculate the highest common factor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 7*m - 4. Let z(w) be the first derivative of -2*w**3\/3 - 13*w**2\/2 - 7*w - 18. Give 7*s(t) - 4*z(t).\nAnswer: t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3 = 24*m - 27*m, -5*i + m + 12 = 0. Solve -16*s - i = 29 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 + n**2 - 2. What is g(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1395 times -78\nAnswer: 108810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29482900361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 3*g + 25 = v, 0 = 5*v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 + 56. Suppose -a*q + 3*d + 12 + 0 = 0, -2*d = -q + 1. Let z = 0 - -2. Solve -2*k - z = 0, -2*g - k = q*k + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*b**3 - 121*b**3 - 93*b**3.\nAnswer: 47*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 774 - 249. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 17, b: 2}. What is prob of picking 1 e and 2 b?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(-4\/9)*d))**(-26)\/(d**(2\/9))**(-12) assuming d is positive.\nAnswer: d**(-314\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32250432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/(-1040))\/((-22)\/(-55)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k**2 + 55*k + 73. Give l(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -4, -0.3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 + 3.04. Let v = 1.663 - 0.663. Let k = v + q. Which is the closest to 1? (a) 1 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 4:59 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285 divided by 5.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, m: 3, k: 3, r: 2, q: 9}. What is prob of sequence qqr?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(0 + sqrt(175) + 1) - (-1 + 3 + (sqrt(567) - (0 + sqrt(567))))) + 1)**2.\nAnswer: 120*sqrt(7) + 1591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5768, -5718, -5634, -5516, -5364, -5178, -4958?\n\"Answer: 17*v**2 - v - 5784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11, 610, 5, 8.\nAnswer: -11, 1, 5, 8, 610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1\/2, 2\/99, 3\/2, 437, 3?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11598 + -11598.0000000637. Round n to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 67*m + 36. Give d(33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4*a + 6*a - 5*a = 251, -l = -8*a + 410 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 8. Let f be z(7). Let m(p) = -p**2 - 7*p - 1. Let y(h) = h. Let w(o) = f*y(o) + m(o). Let l be ((-8)\/6)\/(4\/18). Give w(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n\/(n\/(n*(((n**3*n)\/n)\/n*n)\/n))))**4\/(n**0\/(n*(n\/n**7)\/n)) assuming n is positive.\nAnswer: n**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 412.96821 + 58.01009. Let m = 403.4 + 67.6. Let c = m - a. Round c to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -586 - -596. Suppose -r*q + 9*q = -389. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 9:31 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6109919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 50808 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: Let t(x) = 3*x**2 - x + 1. Let u(i) = -i**2. Let s = -8 - -7. Give s*t(f) - 4*u(f).\nAnswer: f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 3*u + u)*(10*u**2 + 9*u**2 - 6*u**2).\nAnswer: -65*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3271 - -14078.3271. Let z = h - 14078.010033. Let a = z - -0.01. Round a to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -63, -56, -27, -3, 10 in descending order.\nAnswer: 10, -1, -3, -27, -56, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6*i - 98939288 = 0. Let k = i + -40167411. What is k rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 41. What are the prime factors of x(0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-19 - -21 - (0 - 2))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 688 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12, 33\/5, -0.3, -0.4, -6.4, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -7*n + 9. Let o be y(2). Calculate the remainder when 101 is divided by 4 + o\/5 - -32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*b + 22. Suppose 4*y + b = 3*y, -3*y = -2*g + 27. What is the third derivative of -2*v**g + 4 - 4*v**2 + 6*v**2 - 4 wrt v?\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**6\/30 - q**5\/20 - 30*q. Determine v, given that c(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66876 + 94620. What are the prime factors of y?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 3*j + 4. Let t(m) = m**2 - 2*m + 5. Let q(u) = -2*a(u) + 3*t(u). What is the tens digit of q(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 3*n**2\/2 + 5*n - 6. What is the derivative of y(q) wrt q?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/78403 at most 145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in -1.0526, -0.7, 5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 t when three letters picked without replacement from {t: 4, k: 2, d: 1, o: 4, q: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15665.4 and 5.029.\nAnswer: -15660.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -1\/2*j**4 - j**2 + 0*j**3 + 0*j - 11 - 1\/30*j**6 + 4\/15*j**5. Suppose q(y) = 0. What is y?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 3*o**2 + 6*o - 4. What is w(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718 a factor of 698339512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 11:01 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucz when three letters picked without replacement from {f: 1, g: 1, z: 4, c: 1, u: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2884 and -89\/2.\nAnswer: 2884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 5*q + 167 = -4*k, 5*k + 2*q - 196 = 0. Suppose -k*d = -42*d - 20. Let c(t) = 2*t - 9. Let s(o) = o - 4. Determine d*s(l) + 2*c(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*(i\/((i\/i**(2\/5))\/i))\/i)*i**(8\/9))\/((i*i**6)\/i)**37 assuming i is positive.\nAnswer: i**(-9923\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4\/11)*o)\/o**(-20\/11))\/((o*o**(-4\/9))\/(o**22\/o)) assuming o is positive.\nAnswer: o**(2267\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.24 (b) -0.03 (c) 0.5 (d) -1.2 (e) 321\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -2 + (-6 + -10 - -28) + -8 + 1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than -202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10657685*m*v**4 + 4*m*v - 2853164*m + 13 wrt v.\nAnswer: -42630740*m*v**3 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 28*j + 8. Let u(l) = -4*l**2 - 2*l + 286. Determine u(a(d)).\nAnswer: -3136*d**2 - 1848*d + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33.9 in -0.1, 1, -5, 0, 2, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/18)\/(2\/(-18)). Let n be -4*-1*(-6)\/3. Let f be (-8)\/(-2 + n\/(-6)). Solve -4*p + l*h + 2*h - f = 0, 0 = -p - 5*h + 22 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 511227599?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by -1.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1481 + -1091. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1748 + -1746. Solve -i - v*i - 5*p = 4, -3*i = 2*p - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - sqrt(84)*-1)\/sqrt(7).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -12, 2\/61?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-2)\/(-4)*-6. Suppose 0 = -x*l - 0*v + v + 16, -5*l + 5*v = -30. Suppose 0 = l*u - u - 140. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-20) + (-897)\/(-15). Calculate the greatest common factor of b and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + (-17 - -6) - 20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n + 3. Let y(f) = 48*f - 20. Determine -20*v(b) - 3*y(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 9. Suppose 0 = -k - 5*m + 3, g*k = 2*k - 5*m + 115. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 227*j + 0 + 2*j**2 - 2 + 2*j**3 - 240*j as i*j + r*j**3 + y*j**2 + n and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3664 - 3016. Which is greater: s or 647?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/((sqrt(54)\/sqrt(3))\/sqrt(2))*6.\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 7 - -1 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 15.5?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**2*g*l + 2*c**2*l + 322*c**2 + 386*c*g*l + g wrt l.\nAnswer: -2*c**2*g + 2*c**2 + 386*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-20)\/6*(-6 - 45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.3 + -16.3. Let q = t + 14.04. Let g = q + 1.96. Which is the smallest value? (a) -2\/11 (b) g (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 11*s**2 + 33*s + 10. Suppose -4*m = -6 + 30. What are the prime factors of y(m)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 3*j - 3, -3*n = -2*j - 119 + 118 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*sqrt(200)*-5 + -3 + -1*sqrt(200))**2*3.\nAnswer: 1080*sqrt(2) + 21631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 5*n**3 - 3*n + 3*n**3)*(-3*n**2 + n - n).\nAnswer: 6*n**5 - 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p**2 - 36*p + 9. Let a(u) = u**2 + 4*u - 1. Let d(t) = -9*a(t) - k(t). Let z(w) = 488*w**2. What is d(z(i))?\nAnswer: -476288*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - m + 0 + (-1 + 4 - 1)*(-6*m - 10 + 10) + 11*m - 2*m + 6*m + (m + 2*m - m)*(-4 + 4 + 1) + 3*m + 0*m - 4*m in the form s*m + h and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8621*t = 8609*t - 36. Sort -10, 1, t, 173, 4.\nAnswer: -10, t, 1, 4, 173","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-136)\/(-52))\/17)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -6 + (-6 - -8) + -42 + -37 + 42.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, y: 10}. What is prob of sequence yyxy?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 46*d + 14. Let y be x(4). Let k be y\/(-24)*(-48)\/9. Suppose -k = -33*n + 37*n. Sort 0, -4, n.\nAnswer: n, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -894099 or -207?\nAnswer: -894099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 10 in descending order.\nAnswer: 10, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + 1 + -3*(sqrt(3) + 0 - sqrt(3)) + (sqrt(3) + sqrt(3) + sqrt(9)\/sqrt(3))*2*-3 + -5 + 4.\nAnswer: -18*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -5. Suppose 2*r + u = 1. Sort -4, r, 4 in decreasing order.\nAnswer: 4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19732859 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11243161 (base 7) to base 3\nAnswer: -1212001220011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2598*l*o**3*s + 13*l*o**2*s - 10*l*o**2 + 6*l*o*s + 6*o**3*s + 2*s wrt o.\nAnswer: -15588*l*s + 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -328, 6, -1, -16, 5, -2\/5.\nAnswer: -328, -16, -1, -2\/5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*h = 18, -2*g + 4*h + 19 = -5*g. Let v = 6 + g. Suppose 16 = -3*o + v*o. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**6\/60 - v**5\/60 + 13*v**2. Suppose 3*a = 2*c + 2*c - 11, -25 = 5*c + 4*a. What is the units digit of j(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/7 + 1297542*g - 982108891029.\nAnswer: -3*(g - 1513799)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 6. Let q = 0.86 - 2.26. Let j = q - -4.4. Put 4, 0.3, j, n in descending order.\nAnswer: 4, j, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7534900 to the nearest ten thousand.\nAnswer: -7530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/2 - (19 - 21) - -730. Is k less than 736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x - 12. Let a = 585.9 + -584.9. What is the fourth biggest value in -1\/4, -0.5, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, 11, 3 in decreasing order.\nAnswer: 11, 3, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4836 in -0.3, 4, 1\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 360*i**2 - 2603241*i + 2603249*i - 82 + 30*i**2 - 2*i**3 + 2*i**5 wrt i.\nAnswer: 40*i**3 - 12*i + 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/176)\/(15\/110).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by 736233\nAnswer: 14\/245411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 7*o + 2. Let g = 10 - 16. Let v be z(g). Let h = 7 + 3. Calculate the highest common factor of v and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 13, -2, 6 in descending order.\nAnswer: 13, 6, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1826342, 1827105, 1827882, 1828679, 1829502, 1830357, 1831250?\nAnswer: 1832187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 - 54601.\nAnswer: -54610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 take away -50178515?\nAnswer: 50178514.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b + 1 = -5*o, 0 = -4*o + 48357*b - 48353*b + 28 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9*q**3 - 7*q**2 - 8*q - 13. Let t(p) = -4*p**3 + 4*p**2 + 5*p + 8. Let a(g) = -6*c(g) - 10*t(g). Determine a(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-9) + 2\/3. Let t = 0 - g. Which is greater: -2\/11 or t?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/38844 and -41\/19422.\nAnswer: 38844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 14*w**3 + 3*w**2 + 23*w - 27. Let j be g(1). Sort -5, 2, 0, j in decreasing order.\nAnswer: j, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**20)\/((y*y**(-3)*y)\/y) assuming y is positive.\nAnswer: y**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*r**5\/7 + 43534*r**4\/7 - 36680379*r**3\/7 + 7065004732*r**2\/7 - 1871618460*r\/7 - 1881396800\/7 = 0. Calculate r.\nAnswer: -2\/5, 2\/3, 272, 1315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 59265819983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*r**2 - 1156*r + 41120 = 0. What is r?\nAnswer: -2056\/45, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - w**2)*(-w + 3 - 3) + w**3 + 3 + 9*w**3 - 4 + 2*w**3 + 0*w**3 + 0*w**3.\nAnswer: 13*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*((n*n**(-2\/7)*n)\/n)\/n))\/n**(-5))**9 assuming n is positive.\nAnswer: n**(333\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*h - 14 = 0, -228*h + 226*h + 23 = 5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 4 - (-5 + 0)) + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = d - 12. Solve -2*c = -d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 628 + -612. Calculate the smallest common multiple of 36 and s.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, r: 3, q: 5}. What is prob of sequence rrq?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*i = -71*i + 25. Solve -i*d + 0*p + 26 = -2*p, -2*p + 14 = 5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4821865 is divided by 40?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2. Let q = f - 4. Which is the closest to 2\/5? (a) -1\/7 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*v**3 + 3*v**3 + 2*v**3 + (0 + 0 - v)*(2*v**2 + v**2 - v**2) - 5*v**3 + 3*v**3 + 0*v**3.\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270511 and 4396?\nAnswer: 7574308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*z - 20*z**3 - 526*z + 211*z.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.87408 rounded to 1 dp?\nAnswer: -36.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554236?\nAnswer: 2, 138559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from {o: 1, p: 2, z: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-61 + 1)*20\/50. Suppose -4*q - 4*b + 260 = 0, -2*q = -3*b + 19 - 139. Let m be l\/((q\/(-53250))\/7). What is m rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -6.6. Let u = k - 0.599. What is u rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6651 - 6647. Solve 3*r + 13 = 7*r + 5*l, 0 = -5*r + t*l + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -286, -582, -878, -1174, -1470?\nAnswer: -1766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -4, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3022405 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*u**5\/5 - 46*u**4\/5 + 114*u**3\/5 - 34*u**2\/5 - 4*u = 0. Calculate u.\nAnswer: -5, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 11*y - 28. Let a be g(3). Suppose -3*h = -4*k + 431, -a*k - h + 22 + 512 = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204958.2 litres in millilitres?\nAnswer: 204958200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-84)\/(-63)*14\/4*93 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*r = -33, 3*r + 27 = 2*z - 5*z. Let h = -1 - z. Suppose -h - 9 = 4*d. What is the third biggest value in d, 1, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 18, 2, 5, 4 in increasing order.\nAnswer: -5, 2, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -110000000000 (base 2) to base 14\nAnswer: -1196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76701150 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 18 + -7 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x + 60. Let g(u) = 8*u**2. What is g(f(h))?\nAnswer: 32*h**2 - 1920*h + 28800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 u when three letters picked without replacement from {h: 4, u: 2, c: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**3 + 349*n**3 - 25*n**3.\nAnswer: 333*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n. Let i be t(-3). Let c = -11 - i. What is the derivative of 9*w**2 + 27 - 19 - c*w**2 wrt w?\nAnswer: 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -17*j**6\/30 - j**4 - 21*j. What is the third derivative of z(f) wrt f?\nAnswer: -408*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 2*(-11)\/2. Suppose -2*c - 20 = -4*q, 6*q - q - 40 = 5*c. Let x = c + 10. Solve 0 = 2*f + 5*d - v, -x*d - 2 + 6 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*g + 12*g - 14*g)*(-38*g**2 + 44*g**4 + 37*g**2 - 17*g**4).\nAnswer: -405*g**5 + 15*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/4)\/c)\/(c*c\/c**(-1\/3)))\/(c**15\/c**(-10\/3)) assuming c is positive.\nAnswer: c**(-263\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -26*l - 389. Determine y(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 2\/3 (b) 4 (c) -3\/17 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 9*q + 67 = 5*a, 68 = 5*a + 2*q. Let s(i) = -2 + 17*i + 5*i + a*i - 14*i. Let o(c) = c**2. Determine s(o(d)).\nAnswer: 22*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 3*x - 2*o = -52, o - 5 = 0. What is the remainder when 47 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g**2 - 3*g + 8. Let r = 92 + -90. Let x(n) = 3 + r*n + 2*n + 0*n - 5*n + 2*n**2. Suppose 0 = -6*p + p - 40. Calculate p*x(z) + 3*o(z).\nAnswer: 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from fccdcwlcdtcflw.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in 4, 2\/97, -4?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24798, 23194, 21590?\nAnswer: 19986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - sqrt(66)*-2)*1 + sqrt(66) - sqrt(66))\/(sqrt(486)*-2).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/7)\/(c\/(c**9*c))*c**(-6)*(c*(c\/(c**(-9)\/c))\/c)\/c)\/((c\/((((c\/((c\/c**(-1))\/c*c))\/c)\/c)\/c))**(2\/5)*(c\/(c*c**1))**16) assuming c is positive.\nAnswer: c**(186\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 1\/108*f**4 + 0 - 1\/540*f**6 - 1\/270*f**5 - 10*f**2 + 0*f**3 + 0*f + 1\/945*f**7. Factor q(c).\nAnswer: 2*c*(c - 1)**2*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(176)*1 + -2 + (sqrt(176) - 3*sqrt(176)) + 4)*1 + -1)**2*-1.\nAnswer: -201 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 + -24. Let o = -25 + z. Suppose -5*k = -4*h - 68, 4*k + o*h + 4 - 48 = 0. What is the greatest common factor of 156 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**2 + 0*y**2 + 0*y**2 + 2*y**2 - 3*y**2 + 0*y**2 + (-3*y - y + 5*y)*(0*y + 4*y - 2*y) + y - y + y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.256 and 1614451335.\nAnswer: 1614451336.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t**3. Let v(u) be the first derivative of -u**4\/2 - 72. Let w = -12 - -22. Let q be ((-5)\/10)\/(2\/12). Determine q*p(m) + w*v(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -214 or -6821\/32?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 5, 2 in decreasing order.\nAnswer: 5, 2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(7\/6)*(g*g**(-7))\/(g\/g**2) assuming g is positive.\nAnswer: g**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 8 = -2*y. Solve 0*n + 4*n - 12 = 4*o, 0 = -3*n + 4*o + y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 1\/5, -0.9, 1?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnxxxxxxnnxxnxxxxxx.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-8)*(-4)\/18. Let y be (171\/(-2460))\/((-4)\/(-10)). Let z = y + 2\/41. What is the closest to 1 in u, z, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*p**3 + 42*p**2 - 42*p**2)*(12*p**2 - 11*p**2 - 24*p**2) + p**5 + p**5 + 0*p**5.\nAnswer: -343*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 74. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + (5 - (37 + 5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84125\/34 + 2474. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 20*k**2 + 71*k + 8*k**2 + 107 - 34 - 31.\nAnswer: 28*k**2 + 71*k + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 608497148 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1138419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 12*w - 6. Let k be d(-11). Suppose -2*j + 4 = -4*j + 2*h, -3*j + k*h - 10 = 0. Suppose j = -4*t + 20 + 16. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 5, -16, -59, -130, -235?\n\"Answer: -d**3 - 2*d**2 + 8*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -267 + 275. Let z(m) = -m + 3. Calculate z(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0222 in -0.1, -3, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157950 divided by -10530.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -13*y + 67. Let k(v) = 4*v - 24. Give 11*k(a) + 4*o(a).\nAnswer: -8*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 23*x**2 + 17*x + 9. Let r be n(18). What are the prime factors of 2 + -8 - -4 - r?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 3. Suppose 25 = 2*p + 2*p - 5*w, -p + 4*w + 20 = 0. Suppose p = 5*g + 10 + 15. What is the units digit of x(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/13, 2.7, 306.39, -3 in descending order.\nAnswer: 306.39, 3, 2.7, 2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.5 < -7482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1791 = 11*h - 1399. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5564 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-195)\/(-35) + -5)*7\/1. Solve 0 = 3*c - 8*c + 2*u, 5*c + k*u - 30 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486 is divided by 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 16 = -4*z, -4*z + 4 = -0*z + 2*b. Let i(k) = k**3 + 0*k**3 - 2*k + 8*k - 4*k. Let v(o) = 3*o**3 + o**2 + 5*o. What is z*v(c) - 5*i(c)?\nAnswer: c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54*231\/(-198)*(-10 - -1). Calculate the highest common factor of k and 2709.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 + 2*v**3 + 4*v - 51 + 51 to the form t*v + b*v**2 + u*v**3 + n and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -1. Let l(t) = 4. Let q(v) = 2*l(v) + 10*n(v). Let y(i) = 2*i - 1. Let o(b) = 3*b - 1. Let w(c) = 5*o(c) - 7*y(c). Give q(r) + 2*w(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilogram in grams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 197579513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4 + z**2 + 0 + 3*z + 0*z - 4*z = 0. What is z?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -60?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3134 (base 5) to base 11\nAnswer: -351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -2 + 29 + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-16 - -12) + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-75)\/(-18)*(-27)\/357. Let v = f + 1\/34. Are -1 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47097237?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 63*h - 62*h - 5*a, -5*h = -4*a + 56 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3.48 times -1\nAnswer: -3.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3854.06 - 3854. Sort 2\/19, w, 2\/5, -5, -21 in increasing order.\nAnswer: -21, -5, w, 2\/19, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-54)\/9))\/((-2)\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660 is divided by 61.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 330 = 2*p - 5*o, 3*p + 4*o = 232. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 17. Suppose 9*q - 10*q + 6 = l. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**3 + 62*b**2 - 130*b + 66 = 0.\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/17836 and -69\/22295.\nAnswer: 89180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/272 and -35\/24?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539*b - 25*b - 359*b = 11076 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5512746 to the power of 1\/3, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5084 + 5088. Let j = 4 + -4. Suppose j = -z - z + 6. Solve 6*i = 2*i + v + p, v = -z*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (13 - (1 - -2))*23\/1 and 253?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8354 + -1922. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 198 + -105. What is the remainder when h is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.241029223 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 9*k**2 - 7*k + 9. Let u be p(-8). Suppose -4*f + u = -15. Suppose 0 = -f*d + 3 + 13. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 186706 - 0.03\nAnswer: 186705.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 6*q + 41. Let i = q - -24. Suppose -3*p + p = 2*c - 214, -i*p = -5*c + 551. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 6*q + 93. What are the prime factors of q?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5 + (10 - 2 + 0)*(2 + 2 - 3) + 2 - 1 - 2)*(-v - v + 14*v).\nAnswer: 108*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 6266?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4*d + 68, -4*u + 73 - 29 = -4*d. Let t(g) = g**2 + 2*g - 2. Let a be t(-3). Calculate the least common multiple of u and (14\/3)\/(a\/6 - 0).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 294*c**2 + 35*c + 150. What are the prime factors of y(-5)?\nAnswer: 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42766693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15816086831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -13*k + 11. Let w(n) = n - 1. Let z(o) = c(o) + 2*w(o). Let t(p) = -6*p + 5. Give -7*t(f) + 4*z(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.01 and -1511.\nAnswer: -1511.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -167, -248?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-34) - (-362)\/102. Let v = -13\/6 + l. Find m such that 3\/2*m**2 + 0*m - v = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from kkbkbkb?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeveevveev. What is prob of sequence ee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7716 + 4678 = -213*d + 2596 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30600*u**5 - 10227*u**2.\nAnswer: -1836000*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/9570 and -143\/870?\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**7\/840 + w**6\/72 - w**5\/60 + w**4\/6 + w**3\/2 + 2*w**2. Let r(n) be the first derivative of p(n). What is r(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 225*x**2 + 303*x**2 - 627*x**2 - 102*x.\nAnswer: 3*x*(x - 34)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 90 - -18?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - 1211. Let d = 132 + a. Let b = d + 1787. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12 and -776.\nAnswer: -93.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1496 + 1539 = -46*k + 2989 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 323, 326, 329, 332, 335?\n\"Answer: 3*g + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -315, -9, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + 8. Let w = l - 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*m - 5*h - 16, 3*h = 2*m + 40. Let f be ((-12)\/m)\/((-27)\/(-252)). Calculate the highest common divisor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*u + 24*u + 14*u + 8*u = 5120 for u.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 7*u**4\/4 + 5*u**2\/2 + 5. What is the second derivative of d(h) wrt h?\nAnswer: 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 14 + (-4 - 9) + 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a centimeter in millimeters?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(19)*-1 - sqrt(19) - sqrt(152)\/(sqrt(40)\/sqrt(5)).\nAnswer: -3*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**3 - 7*s**2 + 6*s + 3354. What is t(7)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i. Let o(q) = 2*q**2 + 10*q + 1. Calculate 2*o(c) - 18*y(c).\nAnswer: 4*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10310 + 0?\nAnswer: -10310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1843075939 is divided by 724.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/45 - 544\/18. Let i = j + 12. Is 10\/(3\/(i\/(-4))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12385129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002005845777 to 5 dps.\nAnswer: -0.00201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3010 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 11340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 3\/4 (c) 3\/8 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6409 and 33414554?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2120 (base 3) in base 2?\nAnswer: -1000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 0*f**2 - f + 6\/5*f**5 - 11 - 19\/3*f**3 + 2\/21*f**7 - 1\/12*f**4 + 0*f**6. Find the third derivative of o(a) wrt a.\nAnswer: 240*a**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 289*k + 4. Let v be p(8). Suppose -v = -4*r - 288. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276\/(-69)*12\/8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49747.37 nanometers to centimeters.\nAnswer: 0.004974737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 152, 429, 710, 995, 1284, 1577, 1874?\n\"Answer: 2*h**2 + 271*h - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -10.52. Let w = m - -0.18. Which is the third smallest value? (a) 4 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 - 173 = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 i when four letters picked without replacement from {w: 6, e: 1, i: 4}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475*a - h - 617 = -478*a, -2*a = -4*h - 398. Solve 0 = 3*j - 26*j + a for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -174 + 256. Let s(b) = -b**2 + 10*b. What is the remainder when x is divided by s(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*o + 39*o - 2856 = -7*o for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 6. Suppose -23 = -z*u + 1. Calculate the lowest common multiple of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**4\/12 - 16*n - 91. Let b(a) = -10178*a. Determine i(b(v)).\nAnswer: -103591684*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/((-6)\/8 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2. Let i(o) be the third derivative of o**5\/60 - 3*o**3\/2 + 32*o**2. Give i(w(x)).\nAnswer: 4*x**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.4605 hours to milliseconds.\nAnswer: 106057800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g**2 - 16*g - 17. Calculate y(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -57. Let i = 0 + o. Suppose 0 = -5*q - 0*q + i. What is the remainder when 45 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 0*j**4 + 0 + 0*j**5 - 2*j**2 + 1\/420*j**6 + 0*j + 0*j**3 - 2\/735*j**7 + 1\/1176*j**8. Determine w, given that g(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p + 3*p - p)*(8*p**2 - 265*p**3 + 266*p**3 + 5 - 6) to the form i + g*p**4 + q*p**3 + f*p + v*p**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/24)\/a)\/(a*(a**(-2\/31)\/a*a)\/a*a))\/(a**(-5)\/((a\/(a\/(a*((a**(3\/8)*a*a)\/a)\/a))*a)\/a)) assuming a is positive.\nAnswer: a**(409\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1902 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**4 - 944*r**3 + 5637*r**2 - 8446*r + 3752 = 0.\nAnswer: 1, 4, 938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 718 - 488. Let z = -165 + g. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19313.35 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41847 and 103896.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 85, 25835 in decreasing order.\nAnswer: 25835, 85, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9ba (base 16) in base 12?\nAnswer: -1536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.2444 != 1\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 339 - 278. What is the derivative of 13*p - 15*p**3 + t - 10*p - 7 wrt p?\nAnswer: -45*p**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 11*j + 6. Let r be p(-6). Suppose -4*z - 7 - 13 = 0. Let b = z - r. What are the prime factors of b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10*(-9 - 3350\/(-20))?\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slss when four letters picked without replacement from {l: 4, s: 16}?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smkbmmbmmkfm. What is prob of picking 1 f, 2 b, and 1 m?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 5027 and 5022 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -91\/12 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 16*b**3 + 4*b**2 + 25*b + 8. What is p(-3)?\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -23 + 29. Let k = 4 + -1. Suppose -k*b = -g + 1 - 5, -x*g + 12 = -b. Solve -5*m - 21 = -3*m + 3*v, 5*m + 40 = -g*v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22535.63 litres in millilitres?\nAnswer: 22535630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -l + 3*l + 93, 3*k + 2*l = -59. Let h(n) = -n - 8. Suppose -5*w + 5 = 3*x, w + 0*w - 1 = 2*x. Calculate the lowest common multiple of w and h(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**8\/420 + x**6\/72 + 4*x**3\/3 + 1. Let m(c) be the third derivative of j(c). Find the third derivative of m(v) wrt v.\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24787*p**3*z**2 - 2*p**3*z + 2827481*p**3 + 12*p**2*z**2 + z**2 wrt z?\nAnswer: -49574*p**3 + 24*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 154 + -134. Suppose 5*f + v = 0, 0*l + f = 3*l - 76. What is the remainder when 85 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -363*q + 1. Let b be u(-3). Suppose 0*h - 2*h + 4*x + b = 0, -539 = -h - 4*x. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 14. Let k be s(9). Suppose -2*j + k*n + 140 = 0, -5*j + 138 = -5*n - 212. Calculate the highest common divisor of 28 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 26*h - 105. Let c(r) = r**3 - 7*r**2 - 16*r - 9. Let o be c(9). Let k be f(o). Calculate the highest common factor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 1:28 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + 21*y**2 - 278*y - 46. Give z(9).\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -322, -26, 2 in descending order.\nAnswer: 2, -26, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -26*g + 6. What is a(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 + 50.8. Let k = 4.2 + x. Let t = -0.3 + 0.2. Which is the nearest to t? (a) k (b) 1\/4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o + 3*q + 483 = 0, 2*o + 4*q = 214. Calculate the highest common factor of o and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.559 and 6310011345.\nAnswer: 6310011345.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a - 3*a)*(-3 - 1 + 3) + 3*a - 5*a - a + (140 + 26 + 2)*(4*a + a - 3*a)*(-4 + 1 + 4).\nAnswer: 335*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**4 - 7*f**2 - 7*f + 10. Let s(w) = -3*w**2 - 6*w - 3*w**2 + 2*w**4 + 7 + 2 + 2*w**4. Let q(p) = -6*r(p) + 7*s(p). Differentiate q(h) wrt h.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -57*u**5 - 4183*u**4 - 27485*u**3 + 20035*u**2 + 11162*u + 528 = 0.\nAnswer: -66, -8, -1\/3, -1\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 343.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 f when four letters picked without replacement from {f: 3, k: 11}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.1, 41, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (465 - 465 - 75*f)*(-5 + 0 + 3)*(-5*f + 4*f + 0*f) to z*f**2 + x*f + w and give z.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 5*v - 34976 + 1609, 2*n - 2*v = 33388. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*n**3*u**3*w + 298*n**3*u**2*w + 8*n*u**3 + 2*n*u**2*w - n*u**2 - 11*n wrt n.\nAnswer: 228*n*u**3*w + 1788*n*u**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270975.\nAnswer: 3, 5, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 3:18 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156 - -235. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -209*v + 152. Is 57 a factor of m(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 1113*w**4\/4 + 391*w + 6. Let k(j) = j. Calculate k(q(b)).\nAnswer: 3339*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -4. Suppose 2*w = -6, 2*o - 4*w - 42 = -3*o. Sort o, h, 4 in descending order.\nAnswer: o, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 24*s**2 - 85*s - 2606. Let w be c(-28). What is the greatest common factor of 54 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2041 - -24240?\nAnswer: 22144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvv when three letters picked without replacement from {v: 6, x: 5, j: 1, c: 2, a: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) - (sqrt(1377)*-1 + sqrt(1377)))*-2)**2*4 + (sqrt(153)\/sqrt(900)*3)**2)*4.\nAnswer: 2203353\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heele. What is prob of picking 1 e and 1 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = i + 4*f, -2*f - 5 = -3*i + 12. Let m = -18 + 17. Which is the fourth biggest value? (a) 1 (b) 2 (c) m (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 242*w + 326*w = 63, -3*w + 6 = 0 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Suppose f = -2, -s = -f + 5*f + x. Sort -5, 2, -4, s in decreasing order.\nAnswer: s, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -585*f - 474*f + 153*f + 22650 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1435?\nAnswer: 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**1*i)\/(i**(-2\/11)\/i))**46*((i*i*i**(-1\/3))\/(i*i**(2\/7)))\/(i**(-5)*i**(-2\/7)) assuming i is positive.\nAnswer: i**(6535\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6544 is divided by 308.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from ernffbfrnfrnenk.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-2 - (-9 + 11)) + (-6 - -12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 8:39 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 308*u - 195*u - 9 + 26 - 2 - 9.\nAnswer: 113*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2066*s - 2754 = -1985*s for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1553040 divided by 17256\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x**2. Let z(s) be the third derivative of 25*s**4\/24 - 27*s**2 - 2*s. What is z(a(m))?\nAnswer: -200*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 3. Let f be w(5). Let i(k) = 7*k**2 - 2*k**f - k**2 + 2*k. Does 21 divide i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 3*n**2. Let o be -5 + (2 - 1) - -1. Let f be v(o). Suppose 10*y + 61 - 71 = 0. Solve f = a + y - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12\/583 - -559\/1166. Let o = 13.9 + 7.8. Is o bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136765 and 11645?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(-2*sqrt(8)) + sqrt(18)\/sqrt(36).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78497.6 litres to millilitres.\nAnswer: 78497600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 35 = -5*f, -33 = 5*f - 4*m - 0*m. What is the closest to -1\/3 in -3\/7, -3, f?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 234103 from 858377.\nAnswer: 624274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 634 = -4*m + 626, -2*o + 4*m - 24 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, b: 1, t: 1, u: 4, c: 8}. What is prob of picking 1 k and 1 t?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1811 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 - 11*o - 1822*o**2 + 1856*o**2 - 5*o**3 + 29*o**5 - 1 - 2 wrt o.\nAnswer: 1740*o**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 289 (b) -0.4 (c) 3 (d) 0.1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114592504?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6664?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 80319 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c - 3. Let u(y) = -y. Suppose -3001 + 2997 = -4*z. Give z*d(t) - 4*u(t).\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 f when two letters picked without replacement from {m: 2, i: 3, f: 4}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 10:29 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/(-66) - 4\/(-22) and 79\/14.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 145*s**2 + 164*s - 681. Is 45 a factor of c(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219 greater than 0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5e50a (base 16) to base 3.\nAnswer: -201121220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lloe when four letters picked without replacement from {q: 1, o: 1, l: 2, d: 6, e: 2}.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 74195.261 rounded to the nearest 100?\nAnswer: 74200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.120921838957 less than -0.3?\nAnswer: -0.420921838957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 6:39 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -247 (b) -4 (c) -5 (d) -0.144\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -2. Let p be -1 - (0 + (-6 - -5)). Sort p, s, 1.\nAnswer: p, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2211, -2339, -2467?\n\"Answer: -128*k - 2083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10fa - -1f9?\nAnswer: -f01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -11*s**3 - 9181*s**2 + 3408*s + 56773. Determine m(-835).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(77) + -2*sqrt(77)) + (2*sqrt(77) - sqrt(77))*4)\/((sqrt(110) - (sqrt(110) - (sqrt(110) + -1*sqrt(110)*-2 - sqrt(110))))\/sqrt(10)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -32. Find the third derivative of -8*f**2 - f**4 + r*f**4 + 14*f**4 - 3*f**4 wrt f.\nAnswer: 240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*d + 85 = -0*c, 4*c + 5*d = 81. Suppose 4*t = -t + 20. Suppose t - 204 = -5*o. What is the remainder when o is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 288\/77 - 38\/11. Is q smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6*d - 599, 0 = u + 509*d - 513*d - 593. Calculate the remainder when u is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 19 in decreasing order.\nAnswer: 19, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -298.2 from -0.275.\nAnswer: 297.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -203.486 rounded to 0 dps?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 7*j. Let m(g) = -2*g**2 - 4 + g**2 + 2*g + j. Let i be 26\/6 + 2\/(-6). What is m(i)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2358 divide 2153600776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.25 - -0.3. Suppose 4*q - 5*p + 1 = 0, 5 = p + 4. Is q <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2\/2 + 8454728*w - 16909454 = 0. Calculate w.\nAnswer: 2, 16909454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 3*t**4\/4 + 11*t**3 + 105*t**2\/2 + 75*t - 3439. Solve n(k) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**3\/6 - 5*g**2 - 8*g + 43. Calculate q(22).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((0 + sqrt(1573) + 2 + 5 + (sqrt(1573) - (-1*sqrt(1573) + sqrt(1573))))*3 + 1 + (1 + sqrt(1573))*1 + 4*(sqrt(1573) + 1))**2.\nAnswer: 26136*sqrt(13) + 764248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -66, -71, -76, -81, -86, -91?\n\"Answer: -5*f - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87*b**2*u - 28651*b**2 + 5*b*u + 48*b + 129*u + 2 wrt b?\nAnswer: 174*u - 57302","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/(-22) - 35\/14?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 23822?\nAnswer: 47644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kidiioopko. What is prob of picking 1 o and 1 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -713, -905, -1087, -1253, -1397, -1513, -1595, -1637?\n\"Answer: f**3 - f**2 - 196*f - 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45715453*z**4 + 40269492.\nAnswer: 182861812*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**1)**34\/(j**(-7)*j\/((j**(2\/9)*j)\/j*j))*(j*j**(-6\/11)*j**(-1\/5))\/((j\/(j*(j*j\/(((j*j*j**(-1\/4))\/j)\/j)*j)\/j))\/j)**(-5) assuming j is positive.\nAnswer: j**(49949\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 4 = -5*b. Let l be (48\/36)\/((-4)\/6). Let x(y) = 2*y**2 + y - 2. Let p be x(l). Is p greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 0*g**2 + 14*g + 4 - 2 + g**3 - 6*g**2 - 9*g**2. Let u be w(14). Suppose -j + 8 = -u*n, -n + 3 = 2. Solve q - j = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 322148?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 6:47 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j - 15. Solve 4*y + 0*z - 5*z = 0, 0 = -5*y - j*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5332830*t**4 + 25*t**3 - 63*t**2 - t - 1257879 wrt t?\nAnswer: 127987920*t + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 160191 - 160006 = -5*y, 2*q + 0*q + y = -45 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 7) + -22 + -4 + 1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 319 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(3 - 140\/46). Suppose 2*d = -3*g + 44, -2*g + r + 7 = d. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-10)\/25*5\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2751 is divided by 534?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 389894 and 16086.\nAnswer: 8187774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 20.5.\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 13*c - 162. Let z(o) = -o**2 - 8*o + 108. Calculate -5*d(t) - 8*z(t).\nAnswer: -2*t**2 - t - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + 18 - 31) + -2 + 5 - (-85 - 3).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 49280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-5 - 2 - -2) + -6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 4 - 3 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 14*m - 40. Determine p(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1282 (b) 2 (c) -926\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -4*w + 4, -5 = 3*u + 2*w + 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1041831 divided by -72\nAnswer: -115759\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 52. Let a be s(-14). Suppose -2*d = -5 - 61. Suppose 2*g + d = 4*g - 3*n, 2*g + 2*n - a = 0. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 + -12714021858.\nAnswer: -12714021857.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3 = -i, 0 = 3*v - v + 2*i - 8. Let c(u) = -28*u**3 - u**2 + u + 1. Let h be c(v). Let f = -16 + h. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29985 is divided by 52?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*y = 1060*y - 357*y - 335*y + 7504 for y.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, -10, -54, -108, -172?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/497? (a) -7 (b) -2 (c) -2\/7 (d) -4\/9 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2*q - 2 - 12, 55 = 5*z + 5*q. Suppose z*h - 19285 = 12242. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*a = 38*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 - b + 6*b**3 - 7*b**3 + 5*b**4 - 7*b**4 + 5 to n*b + j*b**4 + a + i*b**2 + k*b**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(121)*-1)\/(-2*-2*sqrt(539) - sqrt(539)))**2.\nAnswer: 704\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Suppose j*c - 8 = -0*c. Suppose -c*k - g = -9, k - g = -0*k - 4. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1263 + 2008. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7300*k - 3*w - 4 = -7301*k, 2*w + 10 = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 859907 divided by 3\nAnswer: 859907\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/((-273)\/140))\/(6370\/(-1176)).\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 162218 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 779408692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**6*v*v)\/v)\/v*v\/v**9)\/(v**0\/((v\/v**(8\/5))\/v)))**(-1\/20) assuming v is positive.\nAnswer: v**(9\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - -1) + (11 - 1 - (-1190 + 1209))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70*x**6 + 100*x**2 - 55*x - 102*x**2 + 57*x wrt x.\nAnswer: 8400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (184\/(-368))\/(5\/510)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 - 30*d**2 + 58*d - 42. Let a be g(14). Calculate the greatest common factor of 1302 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3141114 to the nearest integer?\nAnswer: 1772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.26221g to milligrams.\nAnswer: 55262.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 413210.\nAnswer: 3\/413210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 v when three letters picked without replacement from rbxvxrrbrrhbhxrv?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - 10. Let n be c(7). Let y(q) = q**2 + 5*q - 2. Let j(p) = -5 + 4 - 7*p + 2 - p**2 + 3*p. Let i(r) = 7*j(r) + 6*y(r). What is i(n)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**3\/3 - 2*j**2 - 1. Let m be p(-5). Let w(u) = -2*u**2 + 3*u - 4. Let q(c) = 3*c**2 - 5*c + 7. What is m*w(v) - 3*q(v)?\nAnswer: v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*s - 4*o + 10 = 0, 14 = 2*s + 2*o. Suppose -t + 27 = 5*r + s*t, -3*r + t = -23. Is 9 a factor of 2\/r + 305\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68830.6 - 68833. Let y = -4 + 7. Sort j, y, -0.1 in ascending order.\nAnswer: j, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*g = 11, k - 27 = -5*g + 10. What is the closest to k in -1\/4, -326, -2, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8b8 (base 12) to base 4.\nAnswer: -110030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*z - 91 - 133. Suppose -z*c = -3*c + 48560. What is c rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 5*w**2 - 4*w - 8. Let z be r(6). Let d(x) = -3*x**2 - z + 5*x**2 + 4. Let l(c) = -8*c. Determine d(l(o)).\nAnswer: 128*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l + 3*l**3 - 16 - 2*l**3 - 3*l**2 - 6*l**2. Suppose 8*c - 9*c - 5*v - 16 = 0, 2*v = -5*c + 35. Let y be q(c). Does -3 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 6*y + 4. Let j be f(6). Suppose 2*d - j = -0*d. Solve -t - 1 = d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*j = -j - 44, -2*j = 3*u - 18. Solve 0 = -3*g + 2*g - 4*w - 25, -4*g + 2*w - u = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**5 + 30*w**4 - 126*w**3 + 98*w**2.\nAnswer: -2*w**2*(w - 7)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4955690 or 4955689?\nAnswer: 4955690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*c - 44 = 0, 2*c - 212 = -7*y + 3*y. Calculate the common denominator of ((-6)\/y*1)\/((-1)\/213) and 55\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6252 or 5384?\nAnswer: 6252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3090 is divided by 347?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -112 (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 6 - 18 = 0. Suppose 0 = 3*s + n - 105. Suppose -g = g - 4. Solve -5*f + s = -g*c + 4, -2*f + c = -13 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(343) + sqrt(343)*-1 + -4 - (-4*1*sqrt(343))**2).\nAnswer: -5496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 648698 and 172?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15.705 + 15.805. What is the third smallest value in b, 0.2, 3\/11, 0.5, 0.8?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2628.4 * -0.4\nAnswer: 1051.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j = 2*b + 42, -79*j + 84 = -4*b - 75*j for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.6. Let a = 339 - 325. Let l be 3 + (-262)\/70 - (-2)\/a. Put l, -24, z in increasing order.\nAnswer: -24, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30374 - -79374. Round w to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 divided by -41708\nAnswer: 26\/10427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (165\/10 - -1)*(-12)\/(-10). Suppose 0 = -4*j - 5*z + 27 + 84, 0 = j - z - g. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8780590 and 6146413?\nAnswer: 61464130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -4 + -13 - -17) + 0 + 16\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -5, -21, -53, -107, -189, -305?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -1 - (-19 + 5 + 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4*(-9 - -9)\/2. Let p be j\/(32\/4)*2\/(-6). Let q = 0 - -1. Sort p, q, 7 in increasing order.\nAnswer: p, q, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7420*a**3 - 12365\/4*a**2 - 3920*a**4 + 795\/2*a - 45\/4 = 0 for a.\nAnswer: -1, 3\/56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4*63\/36)\/1 - -10. Solve 2*s - 35*d = -32*d - 3, v*s + 3*d = -12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(99)*3 + sqrt(99)))\/(sqrt(9)*-3*-5)*5.\nAnswer: -8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 49*d - 21. Let r be w(11). Is r at least 519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38527 + 278974003\/7241. Let z = 1527923\/130338 + x. Let y = -23\/2 + z. Sort -2\/3, y, -0.04.\nAnswer: -2\/3, -0.04, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2004*t + 19041 = -273*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2466, -9863, -22192, -39453, -61646?\nAnswer: -88771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = 18*l - 3. Suppose 0 = 5*s - 3*g - 10, -4*g + 2 = 4*s - 6. Suppose -18 = -4*v + s*v. Is v equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -63*v**2. Let y(a) = 7*a**2 + 6. Let n(k) = 6*k**2 + 4. Let l be 4\/(-6)*504\/(-112). Let j(t) = l*n(t) - 2*y(t). What is g(j(i))?\nAnswer: -1008*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, 3, -3\/7, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*l*m**3*w - 32*l*m**3 + 2*l*m*w**2 + 39*l - 3*m**2*w**2 + 2*m*w**2 + 3*m*w - 2*w**2 wrt m?\nAnswer: 84*l*m*w - 192*l*m - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*w + 4. What is the third derivative of -r**w - 2*r**2 - r**3 + r**2 + 3*r**3 wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8594*n + 102392 + 181210 = 0 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -354 + 36*k + 354 to the form a*k + m and give a.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 10:56 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1698666\/13 - -1171986031\/8970. Let b = -19\/69 + r. What is the common denominator of b and ((-847)\/(-8))\/(-7) - -3?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*x**3 + 56*x**3 - 82*x**3.\nAnswer: -124*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/160 and 23\/92850.\nAnswer: 1485600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-14))\/(29\/(815045\/(-55)))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/7, 0, 315, -0.025?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-8)*-4*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 0)*(2*g + 4 - 4)*(-13 + 40 + 23) as p + i*g and give i.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n - 8630 = -16*n - 2*u, 0 = 3*u - 18. What are the prime factors of n?\nAnswer: 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/10)\/((-11)\/55). Let p(s) = 2*s**2 - 2*s**2 + u*s**2 + 4*s - 1 - 2*s**2. Let r be p(-5). Solve -5*w + 2*i + 5 = 3*i, 0 = r*w - 2*i + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1481757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40395 + 104*a + 2*a**3 - 44081 - 99896 - 103*a + 0*a**3.\nAnswer: 2*a**3 + a - 184372","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:40 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 20 = -4*y, 3*y + 6*o = 2*o + 16. Suppose 46 = w - 0*w - 4*t, y = 3*w + 3*t - 168. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.5, -209728, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*c**2 - 13*c**2 + 42*c**2 in the form o + m*c**2 + s*c and give m.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 252\/14*(-14)\/210.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.645.\nAnswer: -3.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 28 = -2*x - 31, -x - 4 = 0. Let t = 7 + -11. What is the units digit of 2 + 61 + t + p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 7:18 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpl when three letters picked without replacement from dpmddgdlldddpdpdddm.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -450 - -558. Is 27 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56393544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 3*r**2 + 9*r + 13. Let j be c(-5). Suppose d - 69 = 4*d. Let b = d + j. Which is bigger: -7\/2 or b?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**2\/i**(-7)*((i**0*i)\/i*i)\/i*i**2 assuming i is positive.\nAnswer: i**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2*k - 38 = 0, 19*c = 2*k + 723 - 757 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1410 + -1226. What is the highest common divisor of r and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -255?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*z - 5*z. What is l in 0*l - 2\/3*l**3 + 0 + z*l**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4 + 2 = 0. Let u be 1*f + -1 + 6. What is the derivative of 2*d - 2*d**u - 2*d + 2 wrt d?\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52865921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19386*m**4 - 42333 wrt m?\nAnswer: 77544*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18130153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 5\/7, -2, 0?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19072 + -10944. Is 254 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1572.080162 + 1549.0802. Let f = g - -23. Round f to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10167, -13028, -15889, -18750, -21611?\nAnswer: -24472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 62 (b) 5 (c) 144 (d) -3\/7 (e) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u**3 + 3*u**2 + 27. Let s(o) = -5*o**3 + 2*o**2 + 27. Suppose -4*m + 5*k = 32 - 53, -2*m + k + 9 = 0. What is m*c(h) - 5*s(h)?\nAnswer: h**3 + 2*h**2 - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -9*p**7\/7 - 2*p**3\/3 + 8. Find the third derivative of o(n) wrt n.\nAnswer: -1080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5575 and 6913.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*u = 69*u + 286. Solve f + 5*c + u = 0, -c + 3*c = -3*f - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*x - 21 = 3*f, 3*x = -5*f - 31. Let d be 5 - (4 - 1 - -1). Let o(l) = 11*l**2 - 3*l - 8*l**2 - 4*l**2 + d. Give o(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*j = -975 + 1318 - 1911 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -13*v**2 - 4*v + 8. Let l(j) = 15*j**2 + 24*j**2 - 33 + 11*j + 9. Let b(t) = 11*d(t) + 4*l(t). Differentiate b(r) with respect to r.\nAnswer: 26*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2725 is divided by 1355.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 2*v + 3*v**2 - 27*v**2 - 23*v + 21*v.\nAnswer: -23*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.336258085 to one decimal place.\nAnswer: 7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1587, -3199, -4837, -6495, -8167, -9847, -11529?\nAnswer: -13207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*b + 53, 0*b = 2*b + 3*o - 37. What is the remainder when 42 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 11:49 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 102*c**2 - 1000*c - 2. What is the remainder when o(91) is divided by 2*-37*(-2)\/4?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 8:34 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 129610291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o. Let l(v) = 697382*v**2 + 1417*v + 14170. Let j(a) = -985*a**2 - 2*a - 20. Let w(s) = -1417*j(s) - 2*l(s). Give w(t(p)).\nAnswer: 3924*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 345*r**2 - 130 + 344*r**2 - 687*r**2 as v*r + f + t*r**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.14 - -1.97. Let o = y - 1.83. Which is the biggest value? (a) 3 (b) -5\/2 (c) o (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90543.725 rounded to the nearest one thousand?\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-104)*2\/(-2)*(-930)\/(-6975)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 divided by 474416?\nAnswer: 69\/474416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = -16, -5*z = c + 26. Let j = 12 + z. Solve -3*a - j = 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0 = 6. Are v and -6 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -204*h - 3251. What is b(-16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200011012201102 (base 3) to base 8.\nAnswer: -44635307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.8032688 rounded to zero dps?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**3 + 4*h**2 + 6. Determine p(3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 + m**2 - m**2 + (-2 + 6 - 2)*(-80*m + 50*m**2 + 80*m) + 5 + m**2 - 5 + m**2 + 3*m**2 - 3*m**2.\nAnswer: 100*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**4 - 32*y**3\/3 + 34*y**2 - 40*y + 591. Let s(f) = 0. What is f?\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 385.82.\nAnswer: -2314.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 160 - 64. Suppose -395*o = -398*o + b. Solve -3*m - 4 = -3*u - m, -5*m = 3*u - o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 502 and 23017.\nAnswer: 11554534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16\/6 - 4560\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 = 2. Put -2\/7, g, 0.8 in descending order.\nAnswer: g, 0.8, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n. Let q(i) = -i. Let j(u) = -6*p(u) - 7*q(u). Let r(z) be the first derivative of 5*z**2\/2 + 3. Determine r(j(c)).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 287*c**6\/120 - c**5\/30 + 719*c**4\/24 + c**2 - 155*c. Find the second derivative of d(x) wrt x.\nAnswer: 1722*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -585*m + 433*m - 15*m**3 - 5*m**3 - 11*m**3 + 152*m + 28*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 - 6.2. Let u = -25 - -26. Which is the nearest to u? (a) d (b) -9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4917dc - -64?\nAnswer: 491862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**2\/2 + 2*w. Let g = -1 + 2. Let r(z) = -z - 2. Calculate g*r(a) + 2*k(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 24*b**2 - 15*b - 5. Let o(y) = -23*y**2 + 15*y + 6. Let h(j) = -5*o(j) - 6*w(j). Find the second derivative of h(p) wrt p.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(36\/(-4)))\/(12\/(-36))*9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(6655)*-5*6)\/(-1*sqrt(396)*1*1))**2.\nAnswer: 15125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88509 - -19715. What is s rounded to the nearest one thousand?\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 2:46 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/275 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 39.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.034, 4, 4\/7, 273, -1\/6 in decreasing order.\nAnswer: 273, 4, 4\/7, 0.034, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -347*t + 2*u = -346*t - 16, -t - u = 8. Let z be 30*(3\/6 - 0). Solve t = 12*n - 9*n + z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**6\/960 - c**5\/160 + c**4\/64 - c**3\/48 + 6*c**2 - 1. Let m(k) be the second derivative of a(k). Factor m(x).\nAnswer: (x - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 12. Suppose -3*h + 5*i = -166, -x*h - 3*i + 302 = -5*i. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -7*s**6\/51 + 404*s**5\/17 - 17777*s**4\/17 - 127016*s**3\/51 - 16279*s**2\/17 + 21316*s\/17 - 10096. Suppose p(t) = 0. What is t?\nAnswer: -1, 2\/7, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yokkowkkooks. Give prob of picking 1 o and 1 w.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -1\/4*z**4 + 0*z**3 + 0*z**2 + 0 - 15*z. What is b in d(b) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307896036 divided by 854?\nAnswer: 360534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*j - 12, 0 = -3*g - 2*j - 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*x**3 + 43*x**3 - 201*x**3 + 81*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 3*z = 7, -3*c + 0*z = -3*z - 15 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*o**3 + 49*o**3 - 97*o**3.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-20))\/c**(-6))**(-18) assuming c is positive.\nAnswer: c**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 3\/10*n**5 + 0 - 1\/3*n**4 - 4\/3*n**3 + 1\/6*n**6 + 1\/42*n**7 - 13*n + 0*n**2. Find y such that w(y) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16508 - 22256 = -44*n. List the prime factors of n.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 138*m**2 - 268*m.\nAnswer: -2*m*(m + 2)*(m + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -106\/9 or 0.0602416?\nAnswer: 0.0602416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (2 - 3 - -10 - -2 - (-3 - 0))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1408*v + 1415*v - 1071. Calculate the highest common factor of v and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**3 - 2547632*b**2 = 0.\nAnswer: -2547632, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k = 6. Suppose -4*r + 3*r + k*j + 9 = 0, 5*j + 12 = r. Suppose 0 = -6*p - 1 + r. What is the second smallest value in -0.3, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z + 4525 = 38*z. What is the third derivative of 179*c**2 + 23*c**3 - z*c**2 + 9*c**3 - 4 wrt c?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**2\/2 - a - 7. Let q(h) = -3*h - 5. Let z(d) = 4*k(d) - 2*q(d). Calculate z(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33077 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2934 = 5*y + 245, h = y + 1585. Suppose -4*a - 3*a + h = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -220893\/2, -3\/28, 1, -2?\nAnswer: -220893\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1529 divided by 36.\nAnswer: 1529\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401 = -5*p - t, t = 3*p - 0*t - 239. Suppose 5*w + 5*j - p = 0, -w + 6*w - 3*j = 112. Is 8 a factor of 2*6\/3*w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 15 + 77 = r, q - 456 = -5*r. What is the remainder when r is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -778*j + 1586. Let u be i(10). What is u rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 81 = -5*i. Let u = i - -18. Calculate the least common multiple of u and (-2 - 0) + 4 - -5.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v = -17*v - 28 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1192643.85 * 0.3.\nAnswer: -357793.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 11*f - 23. Let q be k(8). Solve -5*n - q + 16 = 5*p, 0 = -3*p + 3*n - 15 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 0 - (56 + -49).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/5 (b) -12 (c) -2.3 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 87*l - 2. Let b(q) = 1. Let x(f) = 2*b(f) + d(f). Let p(o) be the first derivative of 1\/3*o**3 + 0*o + 180 + 0*o**2. Calculate p(x(h)).\nAnswer: 7569*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*((sqrt(1539) + sqrt(1539) + 3 + 0 + sqrt(1539))*-2 + -2 + 5 + 2)**2.\nAnswer: 108*sqrt(19) + 55402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1253 - 1249. Let p(d) = 2*d + 2 + 0 + 0. Let k be p(3). Solve -c*y + 4*g + k = 0, 0*y = -2*y + g - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -27*n + 17*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 2*r. Suppose 4*c + 3*s + 27 = -13, 5*c + 43 = -2*s. Let z(x) be the first derivative of 4*x**3\/3 - 7*x**2\/2 + 14. Determine c*t(v) + 2*z(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -711819*f + 711823*f - 4*s = 124, -2*f + s = -33 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*(-578)\/(-51) + (-19)\/(190\/(-80)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -6 + 1 + 0 + 113. Let p = q + -108. What is the second derivative of 13*n**3 + 7*n**p - 13*n + 0*n**3 wrt n?\nAnswer: 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**23\/d*(d*d\/(d*d\/d**(-20)*d*d))\/d*d assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from dcdccdccddccccjdcc.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 251829 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 16*d**2 - 35*d + 24. Let y be v(-18). What is the units digit of 4809\/7*y\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 7696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96439491 by 81.\nAnswer: 1190611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l**2 - l - 2. Let p be f(-1). Solve -31 = p*g - 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 564023, 564024, 564025, 564026, 564027, 564028?\nAnswer: 564029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + 40.66. Let x = r - 2.76. Round x to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6294.15138 rounded to the nearest 100?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -39\nAnswer: -5\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/11 and 31\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 28*u + 27*u - 418 = 0, 5*u - 10 = 0. What is the highest common factor of 126 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 15) to base 13\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 144, 215, 286, 357, 428?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.4 and -109097.\nAnswer: -109100.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -6125*c**3 + 282450*c**2 - 32220*c + 920 = 0.\nAnswer: 2\/35, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + q - 1)*(1 - 1 - 1) + 12 - 27 + 2*q + 17.\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -243, 2\/9, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 736 (base 8) in base 12?\nAnswer: 33a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 + 7767*w**2 - 4*w**3 - 7760*w**2 + w**3 to x*w + p + i*w**3 + f*w**2 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -61)*3\/48*-8. Solve -4*l = 2*w - 20, 5*l - 5*w = -10*w + v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -3, -91, -0.14, -59?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 252671.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -20804040*i**2. Let b(r) = r. Calculate b(w(j)).\nAnswer: -20804040*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 40. Is v - 3*(0 + -259) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**2 + 39589 + 531*m**3 - 39589 + (2 - 1 - 2)*(2*m**3 + m**2 - m**2).\nAnswer: 529*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16956 and 72063.\nAnswer: 288252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 6 + 0 + 6*d**2 + d**3. Let c(z) = 5*z**2 - 1. Let w(b) = 11*b**2 - 2. Let n(j) = -9*c(j) + 4*w(j). Give -6*n(a) - q(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127 - -101.96. Let l = -25 - x. Let f = l - 2.04. What is the smallest value in 4, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 114970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + -4 + (0 - 19 - -95) + -7.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 36 + 108 = 0. Solve 3*j = 7*j - k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1335*f**2 + 8*f - 5. Is m(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from pwpwc.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390394 is divided by 129999?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h**2 - 3*h**2 + 0*h**2 + ((-1 + 3 - 7)*(-2*h - h + 5*h) - h - h + 3*h)*(0 - 6 + 2)*(-6*h + 0*h + 2*h) to the form x*h**2 + f + v*h and give x.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 825 - 823. Sort 19, w, 5, 0.\nAnswer: 0, w, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**6\/96 - 13*q**5\/240 + q**4\/24 + q**3\/6 - 11*q**2. Factor o(y).\nAnswer: (y - 2)*(y - 1)*(5*y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111000101010 - -1001110101?\nAnswer: -1101110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c - 1. Let u be i(2). Suppose u*d - 19 - 31 = 0. Suppose -2 = -3*q + d. Solve -4*n - 20 = q*b, 3*b = -n + 8*b + 13 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -4*a + 6*a. Suppose -4*n - 399 = -3*o, 2*o = 4*n + a + 228. What are the prime factors of o?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -4*m**3\/3 - 9*m**2\/2 - 15*m - 4899. Let y(p) = -2*p**2 - 4*p - 7. Let z be (1\/(-2))\/((-2)\/(-24)). Give z*s(t) + 13*y(t).\nAnswer: -2*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-16 + -3 + 12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 3811015\nAnswer: 3\/3811015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/81*((-250)\/(-350))\/((-86)\/7). Is c not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*s - 251*s + 96 + 102 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-44)\/(-11))\/((-38)\/(-2))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 2:00 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9686645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 2145?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 68*u - 525 - 527 - 294 + 259. Give d(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(125) + -1)**2 + -4 + (5*-2*sqrt(5) - (sqrt(1225) - sqrt(25))\/sqrt(5)).\nAnswer: -26*sqrt(5) + 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**3\/3 - 2*y**2 + 3*y. Let g be i(5). Suppose -2*v = -3*p - 0*v + g, -p + v = -2. Solve -p*b - 2 = -0*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82223374 to the power of 1\/3, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Let m = 4 - w. Let t(g) = -2*g + 0*g + 2*g + g**m. Let q(s) = -s**2. Give q(t(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 + 2. Is j a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -243300177 times -5?\nAnswer: 1216500885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3990 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29228006 or -29228007?\nAnswer: -29228007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/11, 0.1, 2\/7, 2, -44 in ascending order.\nAnswer: -44, 0.1, 2\/11, 2\/7, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p**3 + 5*p + 18. Let i(r) = 8*r - 233. Let v be i(29). Let q(b) = -b**3 - b. Calculate v*s(a) - 5*q(a).\nAnswer: -2*a**3 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/33 - ((-19)\/((-124355)\/(-3859)) - (-5)\/7)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o = 45. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + (-46)\/10)*15. Let u be (-18)\/(-48)*(-6)\/l. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(243) + 1)**2 + -1 + 2.\nAnswer: 36*sqrt(3) + 974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4029.\nAnswer: 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2910577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/15*(-54)\/4. Let x be r\/12*4\/3. Solve 2*o - 2 = -x*k + 5*o, 5*k + 18 = -4*o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 937, 1894, 2851, 3808?\nAnswer: 4765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 16*o = 4*f - 31696, 5*f - 39617 = 2*o. Does 57 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*3\/66*(-6)\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/162591 and 1\/8580?\nAnswer: 3251820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 35 - (-7 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 12*q**2 + q + 27. Let f be j(11). Let x = f + -34278\/23. Let s = x + 147\/92. Does s = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -9. What is the remainder when (-1)\/2*(1 - 35) is divided by (0 - (-4 - l)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 7140*z**5 + 214202*z**4 + 1370940*z**3 - 3655296*z**2 - 1024*z = 0.\nAnswer: -16, -1\/3570, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 15057.\nAnswer: 15057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 greater than 2124\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36567, 293862, 992231, 2352210, 4594335, 7939142?\n\"Answer: 36756*n**3 + n**2 - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o. Solve -3*g + o*g + 15 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44786 = 1983*c - 83998 + 1872 for c.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 11. Let m be b(-10). Let c = 5 + -3. Suppose s = c - m. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 2*b - 2. Let o be k(2). What is the highest common factor of 30 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-820)\/560 - -2 - (5\/(-7) - -1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 881.23 and 3.\nAnswer: 2643.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2449150237.95 + 348.\nAnswer: -2449149889.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17351626 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*o + 6 = -53*o. Suppose -o*b + 12 - 2 = x, -x + 6 = b. Let f = x + 84. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45189821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2507 - 1679. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f - 2*f - 238 + 337 - 100. Let q(v) = -4*v. Suppose t - 7 = 2*t. Determine t*q(s) + 3*o(s).\nAnswer: s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*p**3 + 32*p**3 - 61*p**3.\nAnswer: 62*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16390 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q - 18*q + 2040 = 26*q + 6*q for q.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -139*a - 2421 + 2421 + a - 4*a + 2*a - a + 0 + 0 + (-2*a + 2*a + a)*(1 - 2 + 0) - 3*a + 7*a - 3*a.\nAnswer: -141*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, q: 5, r: 1, d: 1, n: 3, x: 1}. What is prob of sequence nqxh?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299 = 160*t - 148*t - 7*z, -3*t = -z - 71 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 523 + 625 = 0. What are the prime factors of c?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giegiyeeeegiceieueuc. Give prob of picking 1 c and 1 g.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 2*u. Let c(m) = -3*m**2 - 4*m. Let z(f) = 2*c(f) - 5*d(f). Let l(o) = -4*o**2 + 9*o. Let r(s) = 2*l(s) - 9*z(s). Determine r(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14161 - -14160. What is the second smallest value in -37, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 813 divided by 22.\nAnswer: 813\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4206.6*-2.\nAnswer: -8413.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -396*a - 1980. Determine x(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 7*m - 6. Let i(q) = -9 - 56 + 7*q - 24*q + 12*q. Let v be i(-14). Determine y(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**6\/360 + 19*s**3\/6 + 8*s. Let a(y) be the second derivative of c(y). Let f(b) = 0*b + 0*b - 9*b. Determine a(f(m)).\nAnswer: 81*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 485 and 347551.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 9*z**2 - 6*z - 3. Let o be y(6). Let p(t) = -t**2 + 20*t + 272. Let j be p(31). Let k = j + o. Solve -4*n + g = 8, 2*n + k*g + 4 = g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 10, 55, 140, 277, 478, 755, 1120?\nAnswer: 1585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -82 (b) 0 (c) 5 (d) -0.043\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 17402 * -0.5\nAnswer: -8701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**2 + 5*f + 25. Let w(c) = 6*c**2 + 6*c + 24. Give 7*l(n) - 6*w(n).\nAnswer: -n**2 - n + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(6\/(-4)) - 644\/(-368).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2498 + 0.20211279323\nAnswer: 2498.20211279323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 93, 84, 73?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (38859\/2)\/(1206\/804) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a - 2. Let d(u) = 1. Let c(q) = b(q) - 2*d(q). Is 10 a factor of c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*f + 2 = -5, -z + 3 = -2*f. Let v be z\/(-3)*-1 - (-32)\/6. Find the third derivative of 2*i**4 + 2*i**4 + 3*i**4 + 4*i**2 + v*i**2 wrt i.\nAnswer: 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2863925 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 24. Let t be s(-13). Let q = 32 - t. Suppose -q = -4*n + 5*r, -n + 6*n + 3*r - 54 = 0. Solve n*y = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (0 - -3) - -6 - (111 - 78)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -25. Let a be (-2)\/1*5\/t. Let x be 1\/(-1)*0\/a. Which is smaller: x or 3\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 18. Suppose 8*l + 30 = -x*c + 3*l, 4*l + 22 = -2*c. Let y(u) = 70*u**2 + u + 2. What is the tens digit of y(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 3:42 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 3*b**2 - 4*b - 7. Let d be q(-3). Suppose 2*p - 1 = -5*y, -d*p + 5*y = -10*p + 10. Solve -p*l + 4 = -4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = z. Let j(p) = -p**3 + 9*p**2 - 7*p - 4. Let m be j(z). Suppose 3*g - g = m. Solve a - 5*u = -3*u + 3, g*u - 15 = -5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.9401071 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d + 1. Factor 4*f**2 - 5*f**2 + 0*f**2 + d*f.\nAnswer: -f*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174 and 70?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/2 + 21\/33. Is 1 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3868.4.\nAnswer: 3868.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((2\/(-14))\/(1\/(-2))). Let o = i - -7. Is ((3 - 366\/(-4)) + 1)*o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 2*p. Let s(c) be the first derivative of 2*c**3\/3 - 5*c**2\/2 - 3. Determine 5*f(w) + 2*s(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*h = -5, 0 = 3*w - h + 1 - 0. Suppose -f = 2, w*y + 4*y + 3*f - 94 = 0. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2 (c) 2425\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7.1 * 193\nAnswer: -1370.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6 - -2 - (-6 - (-7 - 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 q when three letters picked without replacement from qtqqqqthtqqtqqqqttt?\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3 + 2\/3*m + 2\/3*m**2 = 0. What is m?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bto when three letters picked without replacement from hhbhhrhhhohtto?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*(d\/d**8*d)\/d)*d*(d*d**(2\/5))\/d*d*d)\/((d*d**6)\/d**(-13\/5)))**(5\/3) assuming d is positive.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13.7, 1\/4, -39700, 2\/17 in increasing order.\nAnswer: -39700, -13.7, 2\/17, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 64*d - 689. What is c(12)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s. Let l be o(-2). Let q be (-195)\/(-4) + 1\/l. Suppose -4*i - 9 + q = 0. Calculate the least common multiple of 11 and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -259866 or -260543?\nAnswer: -259866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 i, and 1 h when three letters picked without replacement from lqibh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.78 times -74.4627?\nAnswer: -58.080906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 31*j + 563. Calculate the smallest common multiple of s(-17) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176579 divided by 799?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 4:36 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gff when three letters picked without replacement from zzfzgkzzzfzzg?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p - 61 - 65 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(152)*2)\/(-3*2*sqrt(8)).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -3*i**4 - 12*i + 5. Differentiate f(h) wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 15 + 12 + 18 - 4*x - 41.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**9*f*f*f*f\/f**22)**(-33\/2) assuming f is positive.\nAnswer: f**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-5) - 72\/(-30). Suppose -2*c - 8 + 2 = -2*q, 0 = p*q + 4*c - 9. Let h(w) = w + 1. List the prime factors of h(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**3\/6 - 3*l. Let k be i(-5). Let z = k - -36. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3742.2, -2, -2\/33, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 565195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 591182860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58941)\/2655*25*(-9)\/(-135).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -50 + 53. Calculate the lowest common multiple of z and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*b = 82*b - 66 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, 3377, -4 in descending order.\nAnswer: 3377, 5, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9.69 in -2, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/30 and -64\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five sevenths of a week in minutes?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 2*f + 7. Let k(d) = -d**2 + d - 4. Let c be (-2)\/10 - 114\/30. Let v = -11 - c. Let b(q) = v*k(q) - 4*o(q). Find l, given that b(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13950 and 1860.\nAnswer: 27900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbje when four letters picked without replacement from jqteb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00317016409 to 6 decimal places.\nAnswer: -0.00317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 16*c + 34. Let j be s(3). Sort j, 0, -212 in descending order.\nAnswer: 0, j, -212","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6750 - 0) + 8 + 3 + (0 - -2). Is -6737 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -24\/53 (b) 9 (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4130 + -3093368\/749. Let z = -20954\/6741 - j. What is the common denominator of 8\/9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -464, -1020, -1578, -2138, -2700, -3264?\n\"Answer: -k**2 - 553*k + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 47.13?\nAnswer: -141.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 343 in 22, -2007, 6?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 34 = 4. Let p be ((-36)\/g)\/((-6)\/15). Suppose -p*h - 22 = 5. Put h, 0.2, 39 in decreasing order.\nAnswer: 39, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 586284.3?\nAnswer: 586284.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/24 and (-195)\/12 + (-1 + -1 - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4189130?\nAnswer: 2, 5, 11, 38083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 + s - 15. Let u be q(3). What is the greatest common factor of 255 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16654 + -16653.9. Suppose 2*p + 0 = 6. Which is the nearest to -0.2? (a) 5 (b) p (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4103709372, -4103709373, -4103709374, -4103709375, -4103709376, -4103709377?\nAnswer: -4103709378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*k**3 - 79*k**3 - 52*k**3)*(-4 + 4 + 5*k**2) - k**5 + 0*k**4 + 0*k**4.\nAnswer: -371*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1310638819 and 3057?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2177\/2 - -979. Suppose i - 3850*l - 65 = -3847*l, 2*i - 137 = 5*l. Let h = v + i. Calculate the common denominator of 61\/126 and h.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10944\/2508*297\/24?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 + -31. Suppose 0 = 2*y + n - 86. Solve -5*h = -2 + y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**3 + 261*y**2 + 46*y - 129. What is the hundreds digit of m(63)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*q + 40 = 193*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64936524*f**2*h - 44*f + 41901*h wrt f?\nAnswer: 129873048*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1, -0.5, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 a factor of 5239300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j + 0*j)*(-1 + 18822*j + 94089*j + 57416*j + 1).\nAnswer: 170327*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 18*y - 20. Let l be w(-13). Suppose 0 = -6*v + l - 9. What is the remainder when 20 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93511 and 660.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -615, -1231, -1845, -2457, -3067, -3675?\n\"Answer: u**2 - 619*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 - -134. Let f = -43 + h. Calculate the remainder when f is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o. Let a(k) be the second derivative of k**3\/3 + 4*k. What is a(d(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*u + 4, -u + 2 = 4*v - 14. Suppose 0 = -5*c + v*c - 27. What is the common denominator of c and (-1)\/((-3)\/(-9)) + (-66)\/(-32)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 6*y. Let g be r(5). Let d(z) = z - 2. Give d(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 46 - 160. Let p = 37 - t. Is 1\/21 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14c906e + 1?\nAnswer: -14c906d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6*(14\/3780*24)\/((-4)\/10)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0218 + -0.8818. Let p = f + -0.14. What is the third smallest value in p, 1\/6, 5\/6, 5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, h: 1, t: 2, k: 5, b: 8}. Give prob of picking 1 t, 1 k, and 1 j.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 337*r + 1363. Give d(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2. Let x(m) = 9*m**2 - 12*m + 8. Let h(t) = 5*n(t) + x(t). Factor h(z).\nAnswer: 4*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*d + 59*d + 54 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8 = -4*v, 4*v = -3*x + 3*v + 12. Solve 2*k - 3*z = 7, -4*z - z + x = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -506165\nAnswer: -151849.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*u + 4*v - v, -u + 2*v + 25 = 0. Suppose -2*z = o + 2*z - u, -5*o - 5*z = -105. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 360.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 808*u**2 - 73*u?\nAnswer: 1616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxodkozx. What is prob of sequence xd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*i**2*r**4 + 24*i**2 - 1198*i*r - 5488570*r**5 + 713*r**2 + 2 wrt r?\nAnswer: 120*i**2*r - 329314200*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -48*n**3 - 2*n**2 - n - 2. Let f be l(-3). Let m = -5073 + 2434. Let j = m + f. What is j rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from {u: 6, o: 2, t: 2, q: 1, n: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53\/(-11*(-5)\/7535) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120c (base 15) to base 2\nAnswer: -111011111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 229082688?\nAnswer: 229082688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from vvvmvvizmavvvyzvvv.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 9890100?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*r = 223 - 993. Solve 0 = r*k - k - 24 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3925 + 3924.8. Put j, -0.75, -10 in decreasing order.\nAnswer: j, -0.75, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.16611604 to three decimal places.\nAnswer: -1.166","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 83435*q - 2938 = 83322*q for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3. Let v(g) = -19*g**3 - g**2. What is -5*s(n) - v(n)?\nAnswer: 14*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 5)*(-9)\/54. Is g > -2\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v**2 + 36*v**2 - 82*v**2.\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-234))\/(((-45)\/15)\/((-4)\/(-2)))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -19. Suppose -15 = -4*b + 5*u + 10, b = 2*u + 10. Suppose g + m = 3*v - b*g, -3*v - 2*g + 12 = 0. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 1 - 0) + (-106 - (-9 + -42) - -192)?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1141, 1145, 1151, 1159?\n\"Answer: b**2 + b + 1139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 631, 1263, 1903, 2551, 3207?\nAnswer: 3871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3*-1*(sqrt(65) + 5*sqrt(65)))\/(sqrt(50)\/(sqrt(10) + -5*sqrt(490) + sqrt(490))))**2.\nAnswer: 972*sqrt(13) + 3070549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 3, k: 1, g: 5}. Give prob of sequence ng.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35.3 + 35.3203. Round n to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 11. Let p be h(9). Suppose o = 4*d - 4*o + 121, -5*o - 15 = 0. Let s be d\/6 - 9\/27. Put 1, p, s in decreasing order.\nAnswer: p, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -3\/2 (b) -2\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fugfuuuuuzguu. Give prob of picking 1 z and 1 f.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.3200876 to 2 decimal places.\nAnswer: -3.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 35*w**2. Let b(r) = -2*r. What is b(y(u))?\nAnswer: -70*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 24*s**2 - 42 + 19 - 34*s - s**3 - 2*s**2. Is i(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-48)\/(-171)))\/(-59*(-258)\/(-101480))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*g**2 + g**3 + 52*g**2 - 2*g**3 + 33*g**2 - 10*g to the form i + v*g + l*g**3 + u*g**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -438*c**2 - 451*c**2 - 4*c + 1018*c**2 + (2*c + c**2 - 2*c)*(0 + 0 + 2) in the form d + h*c**2 + q*c and give h.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2. Suppose -3*t = 12, x + 4*t = -g*x - 5. List the prime factors of (x\/(-2))\/((-5)\/10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1078)*2*4)\/((sqrt(128) + 2*sqrt(128) - sqrt(2))*-1))**2*-5.\nAnswer: -172480\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddqdddqddqqqd. What is prob of picking 1 d and 2 q?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 105 = -107 + 161. Solve -4*m + 1 = v, d*v - 2*m + 5 = -6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*a + r + 22 = 100*a, -2*r + 11 = -7*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -453, -417, -383, -351?\n\"Answer: -c**2 + 39*c - 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 99 - 167. Let u = -48 - v. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7612578?\nAnswer: 2, 3, 19, 22259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 3*z + 3*z)*((-1 + 4 - 2)*(2*z - 3*z + 0*z) + 3*z - 4*z + 0*z + 2*z - 3*z - z - 961*z - 519*z - 204*z) to w + f*z**2 + a*z and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y**3 + 7*y**2 - 5*y + 5. Let g(h) be the second derivative of h**5\/20 + h**4\/12 - h**3\/6 + h**2\/2 - 9*h - 32. Calculate 5*g(f) - p(f).\nAnswer: -2*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -12.76. Let w = z - 0.46. Let v = w - 0.08. What is the closest to 0.1 in 0.3, v, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - s + 2*s)*((7*s - 7*s - 7*s**2)*(s + 0*s - 2*s) + 4*s - 4*s - 4*s**3).\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/113)*k)\/k**(2\/5))\/(k**(10\/11))**(-2\/9) assuming k is positive.\nAnswer: k**(45851\/55935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2130 + 1130?\nAnswer: 3320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 3*y - 2433219, -8*j + 11*j - 3*y - 2433255 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/102*(62 + (-50930)\/825)\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56556816?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 15 = -6*t. Suppose -k - t*y = 15, k + 8 = 5*y + 23. Solve -2*o + o = k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33779.\nAnswer: 17, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1753660 is divided by 1504.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88 - (-66 + 133)) + 86.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1224120 (base 6) to base 11\nAnswer: 45409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3730, 3729, 3728?\n\"Answer: -g + 3731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-4)*-45)\/(75\/3600). Is h != 540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*h + 2 = -1, -5*j - h - 1 = 0. Let c be 450\/42 + 4\/14. Let s = j + c. What is the remainder when 32 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 11:44 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04477 - 0.03798. What is m rounded to three dps?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.29288 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 1)*(0*o + o - 2*o)*(2*o - 4 + 4) + 144*o**2 - 6982*o + 6982*o - 1.\nAnswer: 156*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-66)*(1 - 1). Suppose 0*b - 14*b + 3178 = r. Let u = b - 125. What is the remainder when u is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*b**2 - 3455219*b + 1151734.\nAnswer: (3*b - 1)*(17*b - 1151734)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517*b = -498*b - 19, -5*b - 10 = 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 330766 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2 = -2. Let f(w) = -17*w**2 + 2*w + 2. Let b(o) be the third derivative of o**5\/30 - o**3\/6 - o**2 + 69. Let h(r) = -3*b(r) - f(r). What is h(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 4*n + 19. Let g(w) = w**2 + 5*w - 2. Let a be g(2). Suppose -3*r - 6*l = -l + 71, 0 = -3*l - a. Let m be j(r). Round m to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/12*3*(-153)\/(-85)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iomo when four letters picked without replacement from {m: 3, l: 1, o: 3, x: 1, i: 6, r: 1}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3142123811 and -0.12.\nAnswer: -3142123811.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 - -165 - (-24 + (-22 - -9))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2419609\/4798053 + -2\/123027. Find the common denominator of -83\/15 and k.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(0*j**2 + 3*j**2 - 5*j**2) - 2*j**2 + 2*j**2 - j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/832 and -57\/3415360?\nAnswer: 3415360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4*z + 6 = 0, g - 8*z + 4*z = 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25110, 100451, 226024, 401829, 627866, 904135, 1230636?\nAnswer: 1607369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 359798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 204*u**2 - 44*u**2 as x*u**2 + p*u + g and give x.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**5 - 13603293*i**3 + 23035934*i**2 wrt i?\nAnswer: 60*i**2 - 81619758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504*y**3 - 457*y - 81*y + 538*y.\nAnswer: 504*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2555 - -4381. Suppose -4*j - n = -194. Let a = -273 - j. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 3:16 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 0 - (-6)\/(-4). Let v = 5.5 + -1.5. Let x = 4.2 - v. What is the closest to 2 in -0.5, z, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/9*4)\/(2\/3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -14*t**3 - t**2. Let k(h) = -3*h - 42. Let a be k(-15). Suppose -4*b = -27 + 7, 4*n + a*b - 11 = 0. Give d(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 514, 1, -2\/23?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4314475610.\nAnswer: 2, 5, 97, 4447913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 f when three letters picked without replacement from {n: 9, f: 1, z: 2, w: 3, a: 2}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74378 + -52673. What are the prime factors of g?\nAnswer: 3, 5, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**5 - 707932*v**4 + 21236546*v**3 - 136618336*v**2 - 339778048*v - 181215232 = 0. Calculate v.\nAnswer: -1, 16, 353936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3009135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 5 = -2*s. Let j = 3 - s. What is the first derivative of -2 + m**3 - j + 2 wrt m?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 21. Let v be (-7 - (-1225)\/7) + -3. Let k(w) = v*w - 82*w - 86*w. Give k(u(q)).\nAnswer: -6*q**2 - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -1. Let n = 59 + -59.9. Let r = n + 0.6. Which is the closest to 1? (a) 4 (b) k (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krtnnstz. What is prob of sequence tz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 6*b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3 - (-628)\/(-3). What is the tens digit of t\/(-12) + (-1)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - y - 1416 = 1427 - 2802, -10*i + 4*y = -14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -12*i. Let b(g) = -14627*g - 2*g**2 + g**2 + 14629*g. Give z(b(f)).\nAnswer: 12*f**2 - 24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 570993 + -570961.1253. Round w to one dp.\nAnswer: 31.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2 + -3 + -19?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2. Let p(d) = -37 - 43 + 80 + 14*d. Determine n(p(m)).\nAnswer: -392*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2. Let b(w) = 60*w - 198. Let d(g) = g - 3. Let x(o) = -4*b(o) + 264*d(o). What is v(x(a))?\nAnswer: -576*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20414411 is divided by 234.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70606664 is divided by 628.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 15\/(-3) + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -191 divided by 6\nAnswer: -191\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-1\/3))\/((f*f**0*f)\/f)*(f**(-1))**(38\/9))**(-7\/6))**30 assuming f is positive.\nAnswer: f**(1225\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 3)*(-3 - 2*i + 3) + 364*i - 236*i + 116*i)*(2*i + 6*i + 2*i).\nAnswer: 2460*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158923?\nAnswer: 158923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d + 0*d**2 + d**4 + d**2 - 2*d**3 + 10*d - 3*d**2 to x + m*d + o*d**3 + b*d**2 + y*d**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3947, 7957, 11897, 15731, 19423?\n\"Answer: -6*t**3 + t**2 + 4049*t - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5 - a + 5*a - a**3 - 6*a**2 + 2*a**3. Let o be p(5). Suppose 11*x + 8 = -47. Put 3, o, x in increasing order.\nAnswer: x, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q - 3*v = -46, q + 4 = -5*v. Solve y + j = 4*y - 18, 0 = -4*y - 3*j + q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, m: 1, i: 1, r: 1, e: 1, n: 1}. Give prob of sequence mrin.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7514810 divided by -3?\nAnswer: 7514810\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-3) - 2)*(1 + -7). Solve -g*f + 10 = -6*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4 - 5*l**2 - 9 + 4 - 23. Let v(k) = -k**2 - 6. Let t(b) = 2*h(b) - 9*v(b). Differentiate t(g) wrt g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-22)*s)\/s**(1\/6) assuming s is positive.\nAnswer: s**(-121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15.4, 0.5, -154888?\nAnswer: -15.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127799412?\nAnswer: 2, 3, 13, 409, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 979247875.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/5 (b) -913\/2 (c) -1\/8257 (d) -1\/5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 98604192 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g + 2183 = -18*g + 76*g - 57*g for g.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 41.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44489?\nAnswer: 17, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.2034 * 185324\nAnswer: 37694.9016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 570*(-19)\/(2280\/(-8)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, g: 2}. Give prob of sequence gvvv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -409 + 395. Which is the second smallest value? (a) 5 (b) r (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 2*d + 20. Suppose -d*g + 3*g + 21 = 0. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c**3 + 45*c**2 + 4*c + 6. Let a(j) = -2*j**3 + 44*j**2 + 3*j + 5. Calculate -6*a(q) + 5*d(q).\nAnswer: -8*q**3 - 39*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r. Let u(a) be the third derivative of 3263*a**4\/24 - 377*a**2 + 2*a + 2. What is u(s(t))?\nAnswer: 3263*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/1 - (-236830)\/(-2365).\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o = -8*o + 225 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.004, -2821, -2\/9, 1\/3, -1\/2 in decreasing order.\nAnswer: 1\/3, 0.004, -2\/9, -1\/2, -2821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0320990811 rounded to 3 decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 0 = -0. Suppose 8 = -z*p + 4*p. Suppose r = -4*h, -r + 2*h + 8 = 2. Put r, p, 3 in decreasing order.\nAnswer: r, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 3 + sqrt(20))**2*-6.\nAnswer: -534 - 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 15 = 4*s. Suppose 5*f = s*f. Suppose -6*h + 3*h + 9 = f. Solve -3*y - 4 = 2*b, -h*b - 25 = -y - 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 0\/(-2)) + (-4)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1152, -1966, -3318, -5202, -7612, -10542, -13986?\n\"Answer: w**3 - 275*w**2 + 4*w - 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 + 198 = -3*x. Let t be (-2)\/4 + 3 + x\/8. Let r be (1 - (-1 - 28\/t))*1. What is the closest to 2 in -2, 0.4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 212984*q + 22319220.\nAnswer: 4*(q - 53141)*(q - 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90553 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-5 - 2)) + -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 7. Is (110\/y)\/(5\/(-15)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/204*1 + (-2 - 253\/(-17))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*g + 2786310, -2*w = 8*g - 1236948 - 620592. What is w rounded to the nearest ten thousand?\nAnswer: 930000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 31. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13683328725164 + 13683328725164 - 2*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/51 and 191\/1020.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from rypppmiypriiyrybpi.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 20, 3\/7, -5, -2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 times 0.1?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2. Let z(k) = -9*k**2 + 13*k**2 + 17*k**2 - 652223*k + 652241*k. Calculate z(t(m)).\nAnswer: 84*m**4 - 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3036 + -5?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -3*s + 45. What is the remainder when s is divided by ((-108)\/45)\/((-3)\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8121047 nanoseconds to seconds.\nAnswer: 0.0000000008121047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1153 in -2393, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5262.9 + 5263. Which is the nearest to 2\/35? (a) o (b) -0.07 (c) 2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -53 - 14*f**4 - 75 - 62*f + 2*f - 58*f. Differentiate d(h) with respect to h.\nAnswer: -168*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31 and -3807.938.\nAnswer: -118046.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*t + 1, -4*t + 7*t - 3*r + 9 = 0. Suppose -6*y = -4*y - t. Is -1\/168 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = -t + 231. What is the units digit of 3021\/t + (-4)\/(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 4*j = -15*v - 118, 0*v + 126 = -3*v + 5*j + 22 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -14\/89, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.1, 0, -0.193 in increasing order.\nAnswer: -0.193, -0.1, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*w**2 + 82*w**2 - 851*w**3 + 87*w**2.\nAnswer: -851*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 + m**2 - 3*m**3 + 6*m**3 + 7*m**3 - m + 2*m**4 to the form n*m**4 + h*m + a*m**2 + c + k*m**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*8\/36.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 7\/8, -50, 4\/3, 1, 1\/8, -0.21?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k + k**2 + 3 + 5 - 11 + 7 + 3. Let o(n) = n**2 + 2*n + 6. Let w be o(-4). Suppose 3*l - 30 = 5*r, 3*r = -4*l + r + w. Determine z(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-4)*(-32)\/(-12). Let l(c) = -c**3 + 6*c. Let k(z) be the first derivative of 3*z**4\/4 - 17*z**2\/2 + 18. Give t*k(o) - 11*l(o).\nAnswer: -o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)*-1 - (sqrt(19) - (3 + -1*sqrt(19)) - sqrt(19)))*-6*-3)**2.\nAnswer: -9720*sqrt(19) + 156816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18 + (2 - (-6)\/(-3)). Let q = u + 1. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3502104042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*r - 4*r - 44*r**2 - 7*r + 32*r - 6*r.\nAnswer: -44*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/72 and 35\/204?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.38, -17\/21, 0.8?\nAnswer: -17\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-9))\/(2\/3). Suppose 0 = -2*l + x - 52, -5*l + 4*l - 4 = 5*x. What is the remainder when (v\/4)\/((-4)\/l)*-12 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61 - -207. Suppose -41 = 5*l - o. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7625 (base 14) to base 16.\nAnswer: -4fc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17) + 0 + 3)**2.\nAnswer: 6*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -187 - -5?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -4. What is the tens digit of (-66)\/(-5) - d\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121\/5 + -837\/35. Which is greater: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 51482, 102972, 154462, 205952, 257442?\n\"Answer: 51490*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 23724305?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 52. Let t = -1.71302 + 1.65302. Sort t, 3, v in ascending order.\nAnswer: t, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -89200, -89201, -89202, -89203?\n\"Answer: -v - 89199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 31*w**2 - 110*w - 1148. Determine h(7).\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 36 - 40 = 0. Suppose l - 16 = 2*a, 13 = -2*a + 3*l - 3. Let p(x) = x**2 + 8*x + 10. Calculate the remainder when w is divided by p(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 35 (b) -32\/187 (c) 4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(2*sqrt(12) - sqrt(12)) + sqrt(17) + 4 + sqrt(17) + 0 - ((sqrt(2448) - sqrt(2448)*1 - sqrt(2448))*5)**2.\nAnswer: -61196 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13352507.\nAnswer: 7, 1907501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -54951000 rounded to the nearest 1000000?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17879993*x**5 + 771*x**2 - 3*x - 2011 wrt x.\nAnswer: -1072799580*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*x**3*y**3 - 2*x**3 + 22*x**2*y**3 + x**2*y**2 - 2*x**2*y - 3*x*y**3 - 35*x*y**2 wrt y?\nAnswer: -258*x**3 + 132*x**2 - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 17*g + 13 - 19*g - 12*g + g**2. Let z be s(13). Solve z = -3*v + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/((-960)\/(-12)))\/((-2)\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4078897870?\nAnswer: 2, 5, 43, 9485809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*q + 8 = 0, 0 = -j - q - 6 + 2. Let x be j\/((3 - 6)\/3). Let s = 277 + -5819\/21. Which is the third smallest value? (a) 3\/8 (b) s (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 480?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 + -2?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 4*s**2 - 4*s + 2. What is the remainder when 5*33\/110*(-108)\/(-6) is divided by n(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 21. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -493 (base 12) to base 7\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*z, 5*c + 9*z + 64 - 99 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 4\/15 in increasing order.\nAnswer: -5, 4\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5926447 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 4019656.\nAnswer: 2411793.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (1 + (-11 - 10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -21 (b) -20 (c) 460 (d) 1 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (136\/(-18))\/(-25*340\/2125).\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117079116 by -6.\nAnswer: 19513186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -187*r**3\/6 - 11761*r. Let h(b) = -28*b**2 + b. What is w(h(t))?\nAnswer: 5236*t**2 - 187*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.64015ug to kilograms.\nAnswer: 0.00000000764015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -263 + 5?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 156 = 2*m - 3*t, -2*m + 2*t = -156. Calculate the smallest common multiple of m and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1236.9 + 1237. Let m be -1 - -2*18\/28. Which is the nearest to f? (a) 5 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*c - 77*c - 1258 = 2492 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 126.3524 to zero decimal places.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4990783.\nAnswer: 7, 31, 109, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i - 4. Let z be j(-3). List the prime factors of ((-10)\/(-4))\/(4\/z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*t**3 + 13 - 66*t**3 - 4)*(-4*t + 3*t + 2*t)*(-3 + t + 3 + (-3 + 6 - 4)*(-1 + 1 - t)).\nAnswer: 4*t**5 + 18*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -42.3. Let z = y + -6.4. Let u = 0.2 - 4.2. Which is the nearest to u? (a) -2\/11 (b) 2\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 13*q - 26. Let s be a(-15). Suppose 5*l + 4*k + 20 = 0, -14 = 5*l + 3*k + 6. Put s, l, -7 in ascending order.\nAnswer: -7, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 9:36 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5196 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -498 and 844 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41743.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 o, and 1 b when four letters picked without replacement from {f: 5, u: 3, b: 3, o: 2}?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/6*237\/158. Suppose 0 = n - 10 + 1. Suppose -7*c - 12 = -n*c. What is the greatest common factor of c and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85 - 94 + 86)*(-2 + 0 + 3)*(3*s - 5*s + 3*s).\nAnswer: 77*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*c**3 + 16*c**3 - 17*c**3)*(-253*c + 434*c - 303*c) + c**4 - 5*c**2 + 5*c**2.\nAnswer: 1831*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - s + 0)*(2 + 0 - 1).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 5:21 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -3*b + 6*j - j, 67 = -3*b + 4*j. Let t = b - -29. Suppose 32500000 = 9*g - t*g. Round g to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -73, -166, -295, -460, -661?\nAnswer: -898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -427 + 443. Let u be ((-1)\/3)\/((-6)\/90). Let j(c) = -c**3 + 6*c**2 - 3*c - 2. Let s be j(u). What is the greatest common divisor of s and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 6*f + 10, 2*k - 65*f + 60*f = 11. Let t(v) be the second derivative of k*v + 0*v**3 + 0 - 13\/12*v**4 + 11\/2*v**2. Differentiate t(n) wrt n.\nAnswer: -26*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 8:22 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-156)\/(-5)*1847\/(-3694).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 28*j**2 - 3*j. Let x(i) = -138791*i - 1. Calculate x(n(o)).\nAnswer: -3886148*o**2 + 416373*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 371.6105869.\nAnswer: 367.6105869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1284 + 584 + 700 + 130733*d.\nAnswer: 130733*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.379 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + 0*s + s)*(-3*s - 4*s - 4*s) - 10*s + 4*s**2 + 40 - 40 to j*s + v + m*s**2 and give m.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -31*g**3 + 1488*g**2 - 6*g + 294. What is c(48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1128 and 7032.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -3685, 4, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 + 8 = 0. Let r(x) be the second derivative of 4*x**3\/3 + 200*x + 12. Let o(s) = -9*s. Calculate k*r(n) - 4*o(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 116441981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -150486 - -601957\/4. Let 0 + z*i + 3\/4*i**2 = 0. Calculate i.\nAnswer: -13\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (2\/4)\/(-1)*1. Which is greater: a or -0.13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -288468974 bigger than -288468979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10481720, 10481636, 10481496, 10481300, 10481048?\nAnswer: 10480740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -956 - -466. Round g to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -6. Let a = o + 3. Suppose a*k + 0 - 201 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -76, -58, 148 in decreasing order.\nAnswer: 148, 2, -1, -58, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*t + 14*t - 4*t)*(-2*t**4 + t**4 + 0*t**4).\nAnswer: -66*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g**2 - 58*g**2 + 4*g**2.\nAnswer: -67*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 0. Find the second derivative of -3*d**4 - 21*d**z + 21*d**2 - 7*d wrt d.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -160704 + 160648 - k - 5*k - 3*k + 3*k. What is d(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3633823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -1. Suppose 0 = 4*j, t = -a*j - 2*j. Solve -5*f + 2 + 3 = t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7194 = -5*m + 2*v, -2883 = -2*m + 2*v - 3*v. Suppose -592 = -2*i - 4*f, -5*i + 0*i - 2*f = -m. Calculate the remainder when i is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 5934?\nAnswer: -5939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-21))\/((-2982)\/(-147) - 20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a08 + -c?\nAnswer: -2a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 5. Let t be b(0). Let w be 1\/(-4) + t\/4. Let a(v) = 9*v**2 - 2*v + 1. Give a(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 682 - 554 - 128 - 180*q.\nAnswer: -180*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/6)\/((-7)\/(-3003)). Let j be (-3)\/(11\/(s\/(-6))). Is j less than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 3:52 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -150*t + 148*t + 48. Let m be -2 + 51\/t - 299\/(-552). Which is the closest to m? (a) -2\/15 (b) 5 (c) -1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10430*k = -10370*k. Suppose 0 - i**2 - 1\/3*i**3 + k*i = 0. What is i?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3989*a**2 - 7*a + 34*a - 19*a - 3991*a**2 - 8*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*sqrt(12)\/sqrt(6) + -2*sqrt(32)*4.\nAnswer: -28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1142 = -54*j + 2192 + 4296. Suppose -3*h + 0*h + 765 = 0. Suppose d - h = -j. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1027 and 1006643.\nAnswer: 1007670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 74851487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/150 and -77\/60?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y + 110. Let r be j(19). Let i(n) = -4*n - 2. Give i(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 1 + 34*q**3 + 845183*q - 845168*q + 0*q**3 + 3*q**3 - q**3 + (-q + q - 2*q**3)*(4 - 3 - 2) + q - q + q**3.\nAnswer: 39*q**3 + 15*q - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*a + 2*t - 11, 0 = -a - 5*t + 9. Is a < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 948 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -155259 * -12\nAnswer: 1863108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/21 - -13\/168. Let h be (1\/(-9))\/((-10)\/15). Sort -2\/23, z, 2\/11, h in ascending order.\nAnswer: -2\/23, z, h, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 425 by 17.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3166635695 to the nearest integer?\nAnswer: 56273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w**2 + w + 11. Let j be a(3). Let c = j + -57. Solve 3*q + 2*s = -1 - c, -15 = 5*s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313432707 is divided by 93562.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3879 is divided by 1834.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j - 273 + 49. Suppose 2*t - 6*t = -192. Let p = j + t. What is the highest common factor of p and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/3)\/k**11)\/((k\/((k*k**(2\/19)\/k*k)\/k))\/(k*(k\/(k*k*k**5\/k))\/k)) assuming k is positive.\nAnswer: k**(-887\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -111 (b) 0.081 (c) 0.2 (d) 2 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/8 and ((-53)\/(-9) - 294\/49)\/((-1770)\/(-134)).\nAnswer: 63720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 135 = 2*a + 125, 2*a + 25 = 5*p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2136865840 rounded to the nearest one million?\nAnswer: -2137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10)\/(4\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5261382*u + 19. Let l(j) = -2*j. What is l(d(p))?\nAnswer: 10522764*p - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2534401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 + 4*n**3 - 4*n + 2.\nAnswer: -2*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2\/5 + 3864*o\/5 + 98436\/5 = 0 for o.\nAnswer: -1262, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(42))\/sqrt(6)*2.\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 246 - 127. Let i = v + -63. Suppose -i = -15*c + 11*c. What is the greatest common factor of 112 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -521.2 + 521. Suppose -2*a - 3 = 5*g, 3*a - 1 = -4*g - 2. Suppose -m + a = -0*m. Are z and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1103494138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71253, 82830, 102125, 129138, 163869?\nAnswer: 206318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 9:07 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 1\/24*r**4 + 0*r**3 + 0*r + 16*r**2 + 0. Let l(a) = -9*a**2. Calculate l(h(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17719.683 milliseconds in minutes?\nAnswer: 0.29532805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(((-2)\/8)\/(7675\/(-4))). Suppose 0 = -2*w - 3*w + a. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 + -379\/6. Which is the nearest to -2\/5? (a) f (b) 0.2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-2*t + 3*t + t)*(-6 + 167 + 5).\nAnswer: -664*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -20*b - 4. Let m be u(-3). Let r = m + -20. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -6. Is ((-19)\/3)\/(h\/42) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*w + 10*w - 14*w + 429 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -9 - 11, -k = -5*n - 22. Suppose k*r - 49200002 = -3*h, 0 = -4*r + 2 + 2. What is h rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y**5\/3 - 1904*y**4 - 1727582*y**3\/3 + 106179404*y**2 + 575850*y - 106177500 = 0. Calculate y.\nAnswer: -234, -1, 1, 825\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -74*b**2 + 7*b - 405. Let r(s) = 38*s**2 - 3*s + 204. Let n(p) = -4*k(p) - 9*r(p). Differentiate n(g) wrt g.\nAnswer: -92*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*o - 60*o. Let p be 11\/4 - 6\/(-24). Let m = 6 - p. Solve 3*c = 3*t - 24, o = m*c + 5*t - t + 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - u. Let s(a) = -2*a**2 - 47. Let j(z) = 6*o(z) + s(z). Let y be 224\/(-12)*(-129)\/172. Let r be j(y). Round r to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*s - 4 = 0, -6*s = -2*s - 16. Suppose -14 + 18 = p*l. Solve -3*f + 5 = -l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + 5*y - y)*(54 - 76 + 56) to the form p*y + d and give p.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25075 = 7540549*t - 7540254*t for t.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*q + 165*q + 3 = -a, 2*a = 4*q - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*u + 320 + 142 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 400*w*y**3 + 2*w*y - 10350*w wrt y.\nAnswer: 1200*w*y**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -15*z**2 - z. Let a(s) = 2*s**3 + 60*s**2 + 877*s + 2. Give a(h) + 4*q(h).\nAnswer: 2*h**3 + 873*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -31*r**2 - 369*r + 36. Calculate f(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43386 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*sqrt(153)*-4 - sqrt(153))\/sqrt(9) + (sqrt(34)*-3)\/sqrt(2)*1).\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 34*x - 37 - 20*x - 24 + 55 + 18*x. Give r(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(2\/11)*t)\/t)\/((t\/t**(4\/3))\/t))\/((t\/(t*t\/(t\/(t**(-6)*t))))\/(t*(t**6*t)\/t)) assuming t is positive.\nAnswer: t**(149\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.5, 16.1 in descending order.\nAnswer: 16.1, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 34933 = 2*q - 22593, 0 = -i - 1. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*v - 5*d, -d + 1 = -4*v + 4. What is the third derivative of 12*w**v - 28*w**2 - 185*w**4 + 189*w**4 wrt w?\nAnswer: 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 + 116. Let u be 5 - (i + -3 + -4 + 2). Suppose 0 = -u*t + 3*o + 225, -5*t + 0*o = 5*o - 265. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a**3 + 5*a**3 + a**3 + (-a**2 - 2*a**2 + 2*a**2)*(6547 - 6547 - 10007*a) as v*a + j + r*a**2 + b*a**3 and give b.\nAnswer: 10008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/19))\/f)\/(f*f**(-7\/9)) assuming f is positive.\nAnswer: f**(-56\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-49) - 270\/35. Let y be 0 - 12\/(4 - 1). Calculate the remainder when 50\/(-70) - y\/(-14) - v is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -24249229.\nAnswer: -72747687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 19340109?\nAnswer: 19340111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 11. Suppose t*v - 3 = 3*h, -2*v - h + 2 = -2*h. Suppose 4*r = -5*c + 91, -v*r + 5*r + c = 41. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11527.91 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1630 and 13180.\nAnswer: 11550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*z - 0*k - 7, 4*z + 5*k - 19 = 0. Let a(w) = -w**2 + 3*w + 18. Let n be a(z). Solve j + 3 = -n*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a factor of 6081660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/49 (b) 0.6 (c) 646\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96 - -205. Let k = m - 76. What is the smallest common multiple of 9 and k?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 bigger than -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1260\/450)\/((-27)\/(-45))*(-9)\/(-69).\nAnswer: 14\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/4 - 3 - -2)*-2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 12*f + 241 - 49 = -23*f, -4*q - 40 = -3*f for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - 2. Let p = i + 5. Let z = -1.99999928 - p. What is z rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*-1 + 0\/(-3). Let u(i) be the third derivative of i**6\/120 + i**5\/12 - i**4\/24 + i**3\/3 + i**2. What is the units digit of u(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 174 = -4*o. Calculate the remainder when o is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 132*u**3 + 35103*u**2 + 67302*u - 4752.\nAnswer: 3*(u + 2)*(u + 264)*(44*u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 74?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s + 10. Suppose -14*y + 14 - 14 = 0. Let l be v(y). Solve 3*r = 5*n + 15, 4*n + n = 2*r - l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**2 - 354*u + 31329 = 0?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -1\/8, 4, 37\/6, 0.3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + 0 + 8*51. Calculate the greatest common factor of g and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 798 = -39*r. Solve -r = t - 24 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -31. Suppose 40 = h - 4*f + f, 3*h - 50 = -5*f. Suppose -h = 5*z, 2*z + j*z = -4*p + 148. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 + -33. Suppose -4*d - 2*y + j = -12, 2*y = d - 4. Let w(b) = -b + 12. Let r be w(d). Solve 6*g - 3*g - 11 = -2*v, v = -r*g + 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*t + 7*t + 34*t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h*m**3*y + 15*h*m*y - h - 132*m**3*y + 1863*m**3 + m**2 - 3 wrt y.\nAnswer: -2*h*m**3 + 15*h*m - 132*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-650)\/52*(-126)\/1575.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4 - 16268*m**3 + 60593302*m**2 + 45295431636*m + 7752476842929 = 0. What is m?\nAnswer: -329, 8463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-90)\/162)\/(60\/(-3)))\/((-1)\/(3\/4))\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.5 (b) -2\/3 (c) -0.12 (d) -34 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489 + 213 = z. Suppose 44*t - 31*t = z. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*19758\/(-11036)*-62\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2022*h**3 + 7*h - 5. What is the tens digit of i(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnmmnncecncnyceeneyn. What is prob of picking 2 n and 1 y?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -22*c**2 + 33*c - 6. Let o(x) = 7*x**2 - 11*x + 2. What is -2*m(b) - 7*o(b)?\nAnswer: -5*b**2 + 11*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 150817*l**4 - 96*l - 7 + 42 - 150814*l**4 + 1 + 87*l**2 - 30*l**3 = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*a**4 + 11*a*l - 58*l wrt a.\nAnswer: -16*a**3 + 11*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - n - 1. Let v(b) = 6*b**2 - 3*b - 5. Calculate 4*g(q) - v(q).\nAnswer: -2*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68.3 - -61. Let t = 7 + p. Let r = 1.3 - 0.3. What is the third biggest value in t, -0.2, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.414 + 0.32171902752\nAnswer: -0.09228097248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75886199 is divided by 460.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-90))\/((-22)\/(5060\/(-23)))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b. Let u(n) = 21*n**2 - 147*n. Let t = -1096 - -1098. What is t*u(g) - 294*i(g)?\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -1a4?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 3*p - p)*(4*p**3 + 2*p**3 - 5*p**3) - p**2 + p**4 + p**2 + p**4 + p**4 - 4*p**4.\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + d**2 + 0*d**2 + 6*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(121) - -5*sqrt(121)*2)\/sqrt(11))**2.\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5416 - 2804. Let p = 2626.81 - t. Round p to one decimal place.\nAnswer: 14.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5032 (base 9) to base 5\nAnswer: 104144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 19*u**3 - 95*u**2 + 95*u + 95. Let l(b) = b**3 - b**2 + b + 1. Determine d(h) - 95*l(h).\nAnswer: -76*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 293.000676 + -293. Round z to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19084122?\nAnswer: 2, 3, 1060229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5)*(w\/((w*w*w\/w**(-1))\/w))\/w)**(-4))**9 assuming w is positive.\nAnswer: w**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00020088165 to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 349332430 to the power of 1\/3, to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**2\/3 + 40*n + 224\/3 = 0. Calculate n.\nAnswer: -28, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 114072410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - 2. Let p be y\/(-16) - (-2)\/8. Let x = 1 + -0.8. Which is the closest to p? (a) 0 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19745 times 116\nAnswer: -2290420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25173623105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 11*q**2 - 10*q + 2. Let t = 5478 - 5478. Let o(w) be the third derivative of w**6\/120 - 5*w**3\/3 + 2*w**2. Let y be o(t). Give m(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, 0, -9, -34, -81?\n\"Answer: -p**3 + p**2 + 5*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 take away 80?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 0 - 10441*s + 476*s + 0.\nAnswer: -9965*s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -5\/396 and 1030\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 times 3?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -6*p**5\/55 + 206*p**4\/11 - 9338*p**3\/11 - 9522*p**2\/11 + 1920. Factor t(k).\nAnswer: -2*k*(k - 69)**2*(3*k + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546 is divided by 128.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.931 (b) -0.4 (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -211 + 221. Solve -5*o + 5*c - l = 0, -o + 3*c = 8 - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*x = -4 + 3, x - 10 = -3*r. Solve 14 = 2*m + 4*z, -m - r*z + 0 = -8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 802 and 9176083?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26103.87513106 - 0.06513106. Let x = 26103.83399958 - r. Let k = x + -0.024. Round k to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 + 25. Let a(w) = -2*w**2 + 25. Let i(o) = -o**3 - 12*o**2 - 25*o - 44. Let x be i(-10). What is x*j(t) - 5*a(t)?\nAnswer: -2*t**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-5)\/(-20))\/((-3)\/20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -243*i + 709. Calculate x(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 11*i - 13*i + 3 + 24*i + 2*i**2 + 1. What is the remainder when 7 is divided by t(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(68) + (2*sqrt(2448))**2.\nAnswer: 2*sqrt(17) + 9788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*b + 16 = -4, -i = -3*b + 15. Suppose -3*r = -4*r - 4*p + 25, 45 = 3*r + 2*p. Is (i + 8 - -1)*(r + 0) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcczzcfccfdczc. Give prob of sequence cz.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 4*p = -13*g + 177419, -4*p - 177427 = -3*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 6.5, 0.4, -6\/7, -50?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1036 by -28.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2121 - -2115. Which is the second biggest value? (a) j (b) 0 (c) -8.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43428\/(-539) + (7 - -63).\nAnswer: -74\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 905\/9522 - 493358153\/95220. Let z be (-2)\/4 - (-51773)\/(-10) - (-2)\/(-10). Let q = z - g. What is the common denominator of q and 69\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 3:12 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 3 + 3*d - 4*d**2 - 8\/3*d**3 - 1\/4*d**4. Is t(-7) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37218 + 40056. What is the remainder when i is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 11:19 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-2) - (-42 + 35))*(-2)\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -124 - 74?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1, 2, 4, -6, 950.\nAnswer: -6, -1, 2, 4, 13, 950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.18012 - -0.01988. Which is the nearest to 0.18? (a) h (b) 3\/7 (c) -0.2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-1)))**(-2\/79)\/(((y\/y**(-2\/13))\/y)\/y**(2\/25)))**9 assuming y is positive.\nAnswer: y**(-11214\/25675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3298*p - 1001?\nAnswer: -3298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21307936 a multiple of 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**2 + 60*i + 39. What is the remainder when 1374 is divided by m(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = d + 37, 29 = 5*d + 4. What is the greatest common factor of 42 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -35\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88580604 divided by -1054531.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 197*g**4 - 2*g**3 - 22*g**2 + g + 5630 wrt g.\nAnswer: 2364*g**2 - 12*g - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -788.\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 32 = -k, -4*g = -2*k - 439 + 471 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 4*s - 2. Suppose l = 3*b + 2, 4*l + b - 41 = 2*b. What is the remainder when p(5) is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.4 and -1.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/40 and -91\/522.\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 + 206\/3. Let j = 0.7 - 0.3. Put j, f, -2\/11 in descending order.\nAnswer: f, j, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 1:24 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**5\/40 + u**4\/6 + u**3\/3 + 24*u. Factor r(p).\nAnswer: p*(p + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*z + 21*z - 41*z to the form u + c*z and give c.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5. Let p = 5 - z. What is the second derivative of -c + 0*c**3 - c + c**3 + p*c wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -520 - -908. What is the remainder when y is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6558 + 233?\nAnswer: -6325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9545590267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -283 - -405. Calculate the remainder when j is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 148745*b + 297486.\nAnswer: (b + 2)*(b + 148743)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 10) to base 4\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -172, -259, -348, -439, -532, -627?\nAnswer: -724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a factor of 723088133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h = 5*a + 38, 0 = -h + 3*a - 8. Let d = 15 + h. Let u = 0 - -2. Calculate the greatest common factor of u and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4117)\/716)\/((-1)\/456). What is the greatest common divisor of 57 and r?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 5, f: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 172131767254 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 116\/(-10) + (-203)\/145\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = v + 7, -3*z + 5*v + 110 = 2*z + 19*v + 26*v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1124 is divided by 1\/(-15) - (-14960)\/1650.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000 (base 2) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(sqrt(171) - (-5 + sqrt(171) + -3 + sqrt(171) + sqrt(171)) - sqrt(171) - (1 + 0 + sqrt(171)))*3*4)**2.\nAnswer: -120960*sqrt(19) + 2005200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1809205 * -7\nAnswer: -12664435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3828041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -29. Suppose 0 - 5 = 5*o. Let b be 2 + 0 + (o - -12). What is the greatest common divisor of b and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, o: 6, a: 1}. Give prob of picking 1 d and 1 o.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21430, 21431, 21432?\nAnswer: 21433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -14, 6, 2, -70, -5 in decreasing order.\nAnswer: 6, 2, -5, -14, -70, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 3*x**2 - 3*x + 4. What is j(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 229274*j + 34391128. Give g(-150).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/3, -2\/5, 2\/5, 4\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(112))**2*-2 - (sqrt(7) + 0 + 1 + sqrt(7))).\nAnswer: 12*sqrt(7) + 1350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (1 - -3 - (-38 + 55))) + -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -27. Which is greater: i or 16\/9?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -20*q + 2. Let w = -1 - -3. Let f(o) = o**3 - 3*o**2 - 3*o + 8. Let h be f(w). Is z(h) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 101*k - 106*k - 1 = 0, 7 = 3*q - k. Sort 3\/8, q, 0.11, -1.5, 0.5.\nAnswer: -1.5, 0.11, 3\/8, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 5*c - 5*c)*(c - 5*c + 2*c + 4).\nAnswer: -4*c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z + 2 + 0 + 18*z - 3*z**3 as g*z + j*z**3 + q*z**2 + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*w - 96 = 0. Let u = w + -22. Suppose u*c = 5*c - 12. Solve -a - 4 = -0*a - c*j, 0 = -3*a - 5*j + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 9*r**2 + r + 1. Let c(q) be the second derivative of q**5\/20 - 5*q**4\/12 + q**3\/3 - 11*q**2\/2 - 39*q - 2. Let b be c(5). What is g(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1210 and 166070?\nAnswer: 20094470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a**2 - 53*a + 27. What is the remainder when k(-6) is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-11 - -4) + -1. Let s(k) = k**2 - 2*k - 1. What are the prime factors of s(l)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399740339 is divided by 236?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 2*s - 3. Suppose -2 - 10 = 4*o. Let i be x(o). What is the tens digit of 2*14 - i\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162811 and 2128720.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (1 + 8 - -1) + -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3417 and -0.785.\nAnswer: -2682.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -31. Suppose 2*a - 2*n = -2, -3*n = -4*a - t*n + 26. Suppose -3*k = 0, -p - 159 = -a*p + 3*k. List the prime factors of p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -291 - -526. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -2 + -5 + 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2904\/6*2\/8*24\/66?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*f - 153 = -293*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + o**2 + 2*o + 4. Let i be y(-2). Suppose 4*n - k = 5 - 21, -3*n - i = -3*k. What is the remainder when (n + 9\/1)*23 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-2)\/((-1248)\/520)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4784*s**3 - 9573*s**3 + 4790*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6.3 (b) 5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -2\/5 (c) 0.3 (d) -7 (e) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28149716 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**5\/20 - 7*p**3\/6 + 11*p**2\/2 - 120*p. Let b be j(0). Let w(y) = 3*y - 2. Let t be w(5). Which is smaller: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/3 in 2247, 0.3, 0.2, 131?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/52681 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five halves of a decade?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 7*r**2 - 13*r - 11. Calculate the remainder when 19 is divided by c(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/495 and -59\/273405.\nAnswer: 820215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -85, 5, -1, -31, 16 in decreasing order.\nAnswer: 16, 5, 4, -1, -4, -31, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**2\/2 - 1. Let i(m) be the third derivative of 5*m**5\/12 + m**4\/24 - m**2 - 11283*m. Give s(i(b)).\nAnswer: 25*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10109*i**3*m + 7447*i**2 - i*m wrt i.\nAnswer: -60654*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 5803878961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -3. Let b = 0 - w. Sort 5, 3, b in ascending order.\nAnswer: 3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521449821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84326.499965 + -84328.2. Let u = -1.7 - s. Round u to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p + 5*y + 25, 25 = -3*p - 5*y. Suppose -v + p*v = -3. Suppose -q + 9 + v = 0. 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: Multiply 250.95 and -571.\nAnswer: -143292.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 7316?\nAnswer: 1\/1829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -12 - 6. What are the prime factors of d\/(-24) - 322\/(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35405348 divided by -6262\nAnswer: 5654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o - 2*o**2 + 3*o)*(48131*o**2 - 143397*o**2 + 71335*o**2) in the form u + f*o**4 + v*o**3 + g*o**2 + i*o and give f.\nAnswer: 47862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40945*a**3 - 82*a**2*g**2 + 6403*a*g**2 + 32*a - 2*g wrt a?\nAnswer: 245670*a - 164*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 15 = -4*z, -o + 6 = -3*o - z. Suppose 0 = -q + 5 - 9. What is the units digit of (-29 + 4)\/(q - o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -29*u**4 + 5*u**3 + 19. Let n(l) = 14*l**4 - 3*l**3 - 9. Let o(c) = 3*m(c) + 5*n(c). What is the derivative of o(a) wrt a?\nAnswer: -68*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1177799, -0.5, 1, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 232, 229?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78582247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/10352075 or -1?\nAnswer: 9\/10352075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-32 - -35) + (0 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 121, -6, -5, -3630 in increasing order.\nAnswer: -3630, -6, -5, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**(2\/67)\/b*b)*b*((b*(b*b**(3\/14)*b)\/b*b*b*b)\/b)\/b*b assuming b is positive.\nAnswer: b**(5801\/938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 681764.8 hours in minutes?\nAnswer: 40905888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in -4\/5, -2\/9, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*s - 600, 0 = 5*s - 5*n - 60 - 940. Let t be ((-15)\/(-2))\/((-3)\/(-10)). What is the greatest common divisor of t and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Suppose -4*p + 15 = -3*v, 0 = -p + 2*v + 3*v + 25. Are p and j non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12210011010 (base 3) in base 12?\nAnswer: -55a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 4*g. Let w be 6\/(-10) - 23\/(-5). Let c be k(w). Suppose c = 4*y - 5*v + 28, 2*y - 3*v + 5 = -11. Is y at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**3\/6 - 6*d + 12. Let m(z) be the first derivative of q(z). Let y(s) = 14*s**2. What is y(m(o))?\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 6*w - 21. Let q be d(8). Let y = q - 79. Suppose -10*h - 406 = -y*h. List the prime factors of h.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 50\/7, -5, -3, -2\/19, -660, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**2 + 11*i + 4. Let g(s) = -2 - 5*s + 8*s**2 + 0*s**2 + s**2 - 8*s**2. What is 7*g(c) + 3*p(c)?\nAnswer: -2*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61\/7 + -9. Let l = -6 + 3. What is the closest to y in 1\/6, l, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-10))\/(-1 + 3). Let v = -2 + 5. What is i in -1\/4*i**v - k*i**2 + 0 + 0*i = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36.5 - -36. Which is the nearest to -1? (a) -2\/11 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -59*z + 70. Solve 0 = 3*o + 4*c - 25, 3*o = -2*c + 4*c + z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t**3 - 1045757*t + 2909943 wrt t?\nAnswer: -6*t**2 - 1045757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*c**3 + 692*c**2 + 1772*c + 712 = 0. What is c?\nAnswer: -2, -1\/2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 19. Suppose 0 = -j*u + 14*u - 20. Let m(v) = -2*v - 4. Determine m(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 8868960.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97746735 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2) + 1 + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**3 - 64*i**2 - 116*i - 56 = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157*f**3*i**3*p*w + 2*f**3*i**2*p*w - 2*f**2*w + 2*f**2 - 3*f*i**3*p - 2*i**2*p - 4*i**2*w wrt f.\nAnswer: -942*i**3*p*w + 12*i**2*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 4:55 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l. Let n be i(-1). Let g(y) = 2*y - n*y - y. Let d(b) = 2*b. What is d(g(f))?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*h + 8. Suppose -h*j = -j - 3. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -182216.\nAnswer: 9\/91108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -18372718670389?\nAnswer: 18372718670388.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 11:20 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 843803 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 7*d**4\/12 - 3*d**3\/2 - 6*d**2 + 167*d. Let m(y) = -7*y + 5. Determine -3*f(a) - 5*m(a).\nAnswer: -7*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/16740480 and 1\/48?\nAnswer: 16740480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55003?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/848 and -3\/3210634?\nAnswer: 25685072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -2\/11 (b) 0.2 (c) 6 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4535 is divided by 772?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a factor of 9382067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 8:48 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1106 + -405?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {j: 1, b: 2, v: 1, n: 4, o: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*i - 45 = -130*i. Suppose 647 = i*j - x, -j - 6*x + 139 = -3*x. Calculate the remainder when j is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 3:14 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 19*p**2 + p + 21. Let r be t(-19). Let q(h) = -2 - 2*h - 30*h**2 - 20*h**2 + 49*h**r. Let j be q(-2). Which is bigger: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 3*w - 1770. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136.5003 rounded to the nearest ten?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 3*p + 3, -3*y = -249*p + 172*p + 299 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -3. Let o = -2 + 5. Let j(n) = 3*n + 1. Let h(k) = k. Let b(z) = o*j(z) - 8*h(z). Give b(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/17 (b) -0.4 (c) -2 (d) -1\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*1\/((-20)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -2. Suppose 7 = s + 4*h - 0, -s + 52 = -b*h. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/2525948 and 93\/4.\nAnswer: 2525948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -206 at least as big as -172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9316668l to millilitres.\nAnswer: 931.6668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w + 2*w = 1185. Let r = w - 34. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 16 = -v + 4, -4*v = -4*i - 80. Suppose -4*p - 4*f = -696, -129 = -3*p - 2*f + 391. Calculate the lowest common multiple of v and p.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.7096673.\nAnswer: 3.5483365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31335 by 2089.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/22*(-43450)\/(-5925)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4226.434ns in seconds?\nAnswer: 0.000004226434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + -1 - (54 - 35 - 5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -18. Suppose -5*p - 4*o + 39 = -i, 3*o - 30 = -3*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/13)\/(2\/(-2))*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4 + 3*i**3 - 2*i**3 - 2*i**3 + i**2. Determine s(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 31*a**2 + 14*a + 78. Let j = 346 - 379. What is the thousands digit of h(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v**3. Let p(s) be the second derivative of 2*s**5\/5 - s**3\/6 - 599*s. What is -5*l(y) - 4*p(y)?\nAnswer: 3*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjsuju. Give prob of sequence xsuu.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9572995 - -5?\nAnswer: 957299a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1801, 3022, 4243, 5464?\n\"Answer: 1221*a + 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 436 - 601. Let q = g - -169. Calculate the lowest common multiple of 26 and q.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -214\/847 + -4\/121. What is the biggest value in 0.5, b, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 10, 3 in ascending order.\nAnswer: -4, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(1 + -2)*0. Let v(g) be the first derivative of -5\/4*g**4 + o*g**2 + 0*g**3 + 5*g - 5. Differentiate v(z) wrt z.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 j, and 1 e when three letters picked without replacement from edeejeedjeeejevvjeej?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3*(-3 + 44). Does 13 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 7*w - 11. Let g be f(-9). Suppose g*h = 5*h - 8. Is h less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**4 - 17170*c**3 - 379955*c**2 - 708380*c - 345600 = 0?\nAnswer: -20, -1, 3456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = s - 0*n + 2, -2*s + 4*n = 16. Suppose -6*c + 10*c - 28 = 0. Let b be 1 + c + s - -11. Solve -4*q = -q + b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1373210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/5 + -33\/35. Let h = -0.3 + 1.3. Let j = -2 + h. Put j, y, 1 in decreasing order.\nAnswer: 1, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -10, -14, -20?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5264554 + 4?\nAnswer: -5264550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(2 - 1) - (-7 - -5). Which is smaller: b or -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwaaawwnavwfvr. What is prob of sequence avf?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 241 - 4*p + 3*p - 363 in the form u*p + s and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -6 - -2) + -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -286*d**2*n*u**3 - 3472*d**2*n*u**2 - 111443*d**2*u**3 - 5527*d**2 - 2*n*u**2 wrt u?\nAnswer: -1716*d**2*n - 668658*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2411*y + 25. Let v(a) = -2*a. What is n(v(h))?\nAnswer: -4822*h + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -4*z**2 + 6*z - 1 - 1\/3*z**3. List the prime factors of i(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5 - (-5018)\/130. What is the greatest common factor of y and 975?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(0*k + 6*k - 4*k) + k - 3*k + k + 4*k - 3*k + k + (2*k - 3*k + 3*k)*(-3 + 4 - 2) - 1 + k + 1.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9103 (base 11) in base 15?\nAnswer: -38bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -271900114.16.\nAnswer: -271900113.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*s - 177 = 63. Let n(q) = 15*q - 59. What is the lowest common multiple of 8 and n(s)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23, 41, 59, 77?\n\"Answer: 18*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f**2. Let g(y) = -3*y**2. Give g(w(h)).\nAnswer: -75*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) + 16\/12. What is the second derivative of 4*w**2 + 7*w - w + 2*w - h*w wrt w?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1255650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) - sqrt(160)\/(-2*sqrt(8)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from seukpggk. Give prob of sequence kkue.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 7:49 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + -31. List the prime factors of (-6)\/(-27) + -1*(-892)\/j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-853*x + 39 - 1700*x - 18 - 1 - 19)*(-2*x**2 - 2 + 2).\nAnswer: 5106*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**9\/756 - o**6\/180 - 2*o**3\/3 + 1. Let r(s) be the third derivative of v(s). Find the third derivative of r(m) wrt m.\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 - -123. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 232214*a**3 + 272241*a wrt a?\nAnswer: 1393284*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d + 3 + d + d**2 + 7. Does 7 divide s(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/(-100))\/((-2)\/(1*4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 20*c + 1. Let b be y(-2). Calculate the remainder when (67 - -9) + 0\/(-1) is divided by b*(4\/6)\/(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-4 - (-5 + -6) - 11) + -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 at least as big as -85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o**2 - 742*o - 386. What is y(-106)?\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 262*i + 1019*i**5 - 17 + 20 - 5*i**3 + 5*i**3 wrt i?\nAnswer: 20380*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 12. Let z be t(9). Let f(j) be the first derivative of -1\/2*j**2 + 1 + 0*j - 2\/3*j**z. Determine f(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q + r - 165, 3*q - 135 = -3*r. Let z = -14 + q. Solve -3*s - z = -11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3*7\/105).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 + 18*u**2 - u - 11. Let b be g(-9). Let h be ((-12)\/28*b)\/(9\/42). Solve a - 3*f = -0*a, h*f = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12924*f**4 - 56*f*m**2 - 955276*m**2 wrt f?\nAnswer: -51696*f**3 - 56*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 + -4.94. Suppose 0 = 7*k - 7, 3*t - k + 102 = 92. Sort z, -1\/2, -1, t in ascending order.\nAnswer: z, t, -1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**2 + 59*d - 42. What is s(-12)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 8*q + 4. Let i be k(-8). Let z be 2\/(3 - 2) + 0. Suppose z*r - 3*r = 0. Solve r = -i*a - a + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 5:13 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 19*n**3 - 9*n**2 - 29*n + 16. Is g(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0706 - 0.0294. Let k be 1*5\/3*(-5)\/25. What is the closest to g in -0.09, -0.5, k, 0.1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105412 (base 11) to base 5\nAnswer: 20340303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61705907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2013, -23, -1\/2, -307?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1124489?\nAnswer: 863, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7141*q**3 - 24880*q wrt q?\nAnswer: -42846*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*n + 332. What is the remainder when n is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(10\/9)\/(a\/a**(-3))*(a\/((a*(a**4*a)\/a)\/a))\/a**(-1\/8) assuming a is positive.\nAnswer: a**(-415\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 74337, 148672, 223007, 297342?\n\"Answer: 74335*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.102548 to three decimal places.\nAnswer: -0.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + p + 19. Let d be v(-7). Suppose 264 - 151*z + 18*z - d*z**2 + 96 + 75*z**3 - 167*z - 5*z**4 - 20*z**3 = 0. What is z?\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -12*r - 1. Let t(s) = 5*s + 1. Determine 4*j(i) + 10*t(i).\nAnswer: 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -157*b + 65. What are the prime factors of j(-4)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*t + 48 = 0, 37*t - 32*t + 30 = 130. Factor -64\/11 + 2\/11*a**s - 32\/11*a + 4\/11*a**2.\nAnswer: 2*(a - 4)*(a + 2)*(a + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -3*p + 56 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-5))\/(4*7\/(-56))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.8 + -3. Let l = -231.836 - -227.836. Which is the smallest value? (a) m (b) 4 (c) l (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 30, 59, 88?\n\"Answer: 29*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17556 + 145255 = 109*o - 34370. Is o a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 + -0.54. Let l = 0.159985 - q. Round l to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 40 = -5*t, -4*w + 9 = 2*t - 3. Let s be (3\/(-2))\/(3\/140). What is the units digit of -2*(s\/4)\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 7 = 3*i, 4*z - z + i = -3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4519 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3 + 2 - 15*p - 75*p - 4. Suppose 17 = -3*c - 22. Is h(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 658648118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((-2 - -9) + (1 - -9) - 15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -89 + (-8 - (18 + -9) - -31) - 3.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26453480303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*l**5*o + 849*l**3*o - l**2 - 80*l*o - 24*o wrt l.\nAnswer: 3600*l**2*o + 5094*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059133nm in millimeters?\nAnswer: 0.000000059133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5185 = 715*l + 8045 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 57*r**2 - 3*r - 7. Let d be n(-2). Let g = d - 229. Let t = 2 + -2.5. Put g, -1, t in ascending order.\nAnswer: g, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 120 = -2*a. Suppose 3*l - 2 + 15 = -2*c, 5*c = -2*l - a. What are the prime factors of 1\/(0 - 1\/c)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.11*0.2.\nAnswer: 0.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9907020551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 + 109. Let h = 3\/8 + -1\/8. Which is the second biggest value? (a) 4 (b) h (c) t (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8351421 is divided by 57596?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*(3 + (sqrt(272) + 4 - sqrt(272)) + -3 + sqrt(272) + 0))**2.\nAnswer: 240*sqrt(17) + 2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -14*r + 444. Determine d(3).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 435739 - 1345664. Suppose 0 = -11*x - 75965 - l. Is 31 a factor of x\/(-126) - 2\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.622 - 105.338. Let w = c - -111. Let i = w + -0.04. Put -0.1, i, -2\/7 in descending order.\nAnswer: i, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 4*v**2 - 3*v - 7. Let w be h(5). Let p be w\/(-3) - (4 - 8). Suppose 55 = t - p. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4*(-4)\/(-16))\/1)\/(55\/(-20))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 = 64*f + 34771. Let i = 542 + f. Put -9, i, 3 in decreasing order.\nAnswer: 3, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i*p**3 + 5*i*p**2*r - 854*i*p + 2*i*r + i - 1638*r with respect to p.\nAnswer: -6*i*p**2 + 10*i*p*r - 854*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1617 - 111 - 208*f**2 + 638*f**2 + 753*f**2 + 513*f**2 wrt f?\nAnswer: 3392*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*l - 17*l - 19*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6)**(-2\/15) assuming h is positive.\nAnswer: h**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*x - 26 = -0*x, -5*x - 52 = -4*i. Let g be 2\/(-5) - 234\/65. Let y be 0 + 3\/g*(1 - i). Solve 4*a - 25 = -a, 3*a - y = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m + 4*m - 23 = -62 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109855.2 - 0.2.\nAnswer: 109855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 26 + 154, 30*c + 3*h + 180 = 7*h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Solve -133*p + 1710 + 551 = 0 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20734 + 20544. Is -194 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -0.25 (c) 1 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 7:33 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 2\/(-1))*1. Let n(m) = -m + 1. Let b(d) = -4*d + 3. Let t(c) = s*b(c) + 3*n(c). Determine t(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**5\/20 - 7*o**4\/12 + 4*o**3\/3 + 4*o**2 + 2*o + 14. What is j(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 41433850?\nAnswer: 41433850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/1 - (2 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37868077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2047248, 4094792, 6142322, 8189832, 10237316, 12284768, 14332182, 16379552?\nAnswer: 18426872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853 is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20679 divided by -183?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 3 (c) 0.2 (d) 1\/32 (e) 1114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 23. Which is the smallest value? (a) d (b) -2\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -205 - -39. Let z be 13\/39 + c\/66. Which is bigger: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219343782 a multiple of 1580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 35*p**2 - 293*p + 15455. Determine k(38).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -18. Suppose b = u*b - 8. Let t be -8*(-15)\/50 - b. Which is greater: t or -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -213\/873611 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-5 + 0 + 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*b + 127 = -123 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 7*x**2 - 2*x + 13. Let h be 3\/15*-2*-15. Is p(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -322, -1158, -2554, -4516, -7050, -10162, -13858?\nAnswer: -18144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erewl. What is prob of picking 1 e and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3356, -9, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 5 (b) 1\/48 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129892 is divided by 64929.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 8, 109*n - q = 113*n + 24. Which is the fourth biggest value? (a) 0.3 (b) -0.4 (c) -2\/7 (d) n (e) -65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4\/8 + 2008919*m**3\/8 - 42039078445*m**2 - 14013054050*m = 0. What is m?\nAnswer: -1\/3, 0, 334820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1222 - 13?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 37 = -47. Suppose 4*r - 18 = 2*n, -2*r + 3*n + d = 2*r. Suppose 0 = r*x + 2 - 68. What is the remainder when 41 is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19331 and 7709?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-296)\/3*(-47772)\/49099?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z + 17*z + 12*z - 74*z + 16*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 36*-1408\nAnswer: -50688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2399971.1 and -117.\nAnswer: 2399854.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 2.385 (c) 15\/8 (d) -3 (e) 4 (f) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 3\/5 (b) 1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.9 - -0.7?\nAnswer: -24.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 82 = -4*j, -3*j - 2*j = -2*z + 43. Solve 3*c - v = -5*v + 6, c + z = 4*v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/7)\/f)\/(f*f**8))\/(((f*f\/(f*f\/f**(-12)*f))\/f)\/(f*f\/(f**(-11)\/f*f)*f)) assuming f is positive.\nAnswer: f**(129\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/((-666)\/576)*(-2)\/8*-2\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 138933 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w + 1062 = 5472. What is the remainder when w is divided by 83?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 9 - (6 - (5 + -5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 9*g - 112. Let z be m(11). Suppose -8 = h - 5*h. Let t be (z\/3 + h)*3. Are -7 and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -8)*(-6)\/(-15). Let r = 43\/4 - 21\/2. Let b(y) = y**3 - 21*y**2 + 21*y - 19. Let c be b(20). Put z, c, r in descending order.\nAnswer: c, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 1\/7 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -249596996258\/445 + 560892488. Let b = z + -1808\/5. Which is greater: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75806575 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 n, and 1 x when three letters picked without replacement from nxggeegexg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}