diff --git "a/data/dm_maths/full_data_1/1541_11255.jsonl" "b/data/dm_maths/full_data_1/1541_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1541_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -4*m - m - 53004 = -l, 0 = m - 2*l + 10608. What is m rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u - 27. Let k be (39 - 1)*-3*u\/(-27). What is the greatest common divisor of k and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4033629 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -246448 + -210302. Let f be (-1500)\/(-9)*(-26322)\/4. Let c = k - f. What is c rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 33 = -5*a, 31 = -3*a - 5*i - 40 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -46*c - 149. What is the tens digit of n(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155299012.\nAnswer: 2, 11, 17, 207619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8\/7, 49230 in increasing order.\nAnswer: -1, 8\/7, 49230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21340965 greater than or equal to 21340963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22\/7 in 4, -64, -1, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77094 less than -923444476?\nAnswer: -923521570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3285\/4 + -821. Let n be -1*(0 - -1)*1. Let t be 2*n\/(2\/(-5)). What is the closest to 0 in t, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -61?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 1973.16912?\nAnswer: -197.316912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 0*a - a**2 + 1\/120*a**6 + 1\/10*a**5 + 1\/3*a**4 + 7\/6*a**3 + 0. Suppose 3*x - 23 = 4*f, 4*x + 14 + 7 = -5*f. Calculate w(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvtv when four letters picked without replacement from {v: 3, o: 6, q: 3, t: 1, d: 1}?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*a + 22*a**3 + 34*a**3 - 30*a**3 - 4*a - 23*a**3 + 61*a**2 as n*a**3 + y + f*a**2 + q*a and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39824801329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(550)*2 - sqrt(550)))\/sqrt(10))\/(((sqrt(44) - sqrt(11))*-1 - sqrt(11)) + sqrt(11) + sqrt(110)\/(-1*sqrt(10))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9bc - b00?\nAnswer: -17bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j + 20*j = 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + 2*v + 1. Let b(k) = 74 + 9*k - 2*k**2 - 2*k + 6*k + 3*k. Let n(t) = -b(t) + 8*d(t). Differentiate n(m) wrt m.\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6178.54746 and -313.\nAnswer: 5865.54746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**3*q**2 - 2*n**3*q - n**3 + 4628*n**2*q**2 - 2*n*q**2 + 11213*n*q - 11*q**2 - 1 wrt q.\nAnswer: -4*n**3 + 9256*n**2 - 4*n - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 + 4*w**3 - 2 + w**2 + 4*w**3 - w**3 as g*w**3 + o*w + f + i*w**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2568 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + -1.5. Let u be (1\/3 - 85\/3)*-1. Let r be 18\/27*(-6)\/u. Sort w, r, 0.4.\nAnswer: w, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-12)*u**21\/u assuming u is positive.\nAnswer: u**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 74 + 21. Let n = 20 + b. Is n > -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171938531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + ((1*sqrt(96)*3)\/(sqrt(4)\/(sqrt(4)\/sqrt(2))))**2)*-3.\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1399 + -1399.5. What is the closest to 3 in 9, j, -4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxiiiu. What is prob of picking 1 x and 2 i?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50423 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -159 in 0.152, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 2. What is the remainder when 13 is divided by v(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b**(-2)))**(-15)*b**21\/(b**(-3\/5)\/b) assuming b is positive.\nAnswer: b**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1236 + (27\/12 - 3\/(-4)). What is the fourth smallest value in -2, k, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 286 - 285.8. Which is the third smallest value? (a) 2 (b) 1 (c) -7 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 4. Suppose 0 = -2*m + 4*r + 20, 3*r + 6 = 5*m - 23. Let c be y(m). Round c to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4.2. Let n = 106 - 744\/7. What is the closest to n in 4, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 times 0.126?\nAnswer: -38.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386391 is divided by 1337.\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5766 and 86442?\nAnswer: 83070762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.059 + 26.941. Let z = d - 143. Let j = -116.0035 - z. What is j rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 21*q + 24. Suppose -8*z = -26 - 46. What is the hundreds digit of f(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416*j + 317*j - 2 + 2.\nAnswer: 733*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = z - 8, 0*f + 14 = -2*f + 4*z. Suppose h - 19 = -j, f*j - 7 - 46 = -h. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rwrrrrrr.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18, -120, -186, -198, -138?\n\"Answer: 3*v**3 - 123*v + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1065456 and 71\/840.\nAnswer: 5327280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**5\/30 + x**4\/18 + x**3\/9 - x**2\/3 + 38*x - 2. Suppose j(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21024 and 87264.\nAnswer: 6370272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46 and -0.098.\nAnswer: 4.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**0\/j)*j)**16\/((j\/((j*j**(-2\/7)*j)\/j*j))\/j)**(-20) assuming j is positive.\nAnswer: j**(208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 1, x: 1}. Give prob of picking 1 j and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**6\/360 - d**5\/10 - 3*d**4\/4 - d**3\/6 - 19*d**2. Let y(h) be the first derivative of x(h). Is y(14) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 303*u**2 + 16*u + 59. Is y(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2201*s + 81106. What is i(37)?\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 147*s**2 + 1. Let d(j) = j**3 + 5*j**2 + j + 6. Let f be d(-5). Let u be h(f). Suppose 0 = -5*z + 3*t - 4*t + 173, -4*z + u = -4*t. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 129*d**2 + 327*d - 6425. What is j(-126)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2344851.67696 - 2346266. Let p = -1413.18304102 - j. Let k = p + -1.14. What is k rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204234, -408215, -611944, -815421, -1018646?\nAnswer: -1221619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (176*r + 388*r + 397*r + 1167*r + 323*r)*(5*r**2 - 2*r**2 - 4*r**2).\nAnswer: -2451*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 1638?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 23 = -27. Which is greater: c or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1992, 3987, 5982, 7977?\nAnswer: 9972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 7*g - 27. Let u(i) be the third derivative of -1\/27*i**3 - 1\/540*i**6 + 0 - 1\/36*i**4 - g*i**2 + 0*i - 1\/90*i**5. Factor u(v).\nAnswer: -2*(v + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60 + 1081165?\nAnswer: 1081105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367156?\nAnswer: 2, 19, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/5)\/(3\/(-30)). Suppose -3*f + 5*v = -462, 41 = 2*f - w*v - 265. Suppose t = -2*t + f. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -4. Let o(t) = 6*t**2 - t. Calculate the remainder when o(x) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33\/10 of a millimeter?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5 + (sqrt(528)*1)\/sqrt(12) - (sqrt(5324)*-2 - sqrt(5324))**2*6).\nAnswer: -287498 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 12?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 32\/3*j**3 + 176 + 12\/5*j**5 + 0*j + 13*j**4 - 24*j**2. Find b, given that g(b) = 0.\nAnswer: -3, -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 3)*(-1590*y**4 - 166*y**4 - 66*y**4 - 436*y**4) to the form q*y**2 + p*y + s + z*y**4 + h*y**3 and give z.\nAnswer: 6774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 13224?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3104 divided by -388.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-4)\/(-3 + 2). Suppose 2*n - r = 32. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-22))\/(29\/2 - 16).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -20*u**2 + 2*u + 46. Let y(z) = -5*z**2 + 23*z**2 + 1 - 6*z**2 - 9*z**2. Let c(j) = h(j) + 3*y(j). What is the second derivative of c(m) wrt m?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15.22306 greater than or equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -68111 divided by 68111\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*z - 40 = 0, -42 = -3*h - 0*h - 3*z. Let o be 1281\/(-35) + 6\/h. Let m be (-8)\/o + 129\/27. Solve m*d = d - 4*v - 12, 0 = -d - 4*v - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 31. Let a(y) = -2*y + 37. Let v(j) = -5*a(j) + 6*f(j). Let b(t) = t**2 - 9*t - 3. Calculate -3*b(s) - 7*v(s).\nAnswer: -3*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4 - 0. Suppose 3*v - 161 = h*d, 3*v + 0*v - 163 = d. What is the greatest common divisor of v and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1212 + 3516 = 24*j. Calculate the highest common divisor of j and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*x + 1121 - 1121)*(1 - 4 + 1) - 2 + x + 2 + (2 - 6 + 5)*(3*x - 5*x + 3*x) + x + 2*x - x.\nAnswer: 54*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-726*h + 725*h - 3 + 2)*(h + 2 + 2*h - 2*h) to the form f + v*h + p*h**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -19\/60*x**5 + 0*x**3 - 7*x**2 + 0*x + 0*x**4 + 0 + 0*x**6 - 3\/70*x**7. What is the third derivative of b(o) wrt o?\nAnswer: -216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18829790 or -94148951\/5?\nAnswer: -18829790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(100)*-1) - (-3 + sqrt(99) + -1*sqrt(99) - sqrt(99))**2.\nAnswer: -108 - 91*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 10) + (70 - 63)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 2\/21, -8\/17, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -123767\/36 - -3438. Let u(o) be the third derivative of 1\/630*o**7 - k*o**4 + 0*o**5 + 0 + 4*o**2 - 1\/18*o**3 + 0*o + 1\/180*o**6. Factor u(j).\nAnswer: (j - 1)*(j + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -198457*k**3 + 174*k**2 - 26 + k + 46 - 17 + 198459*k**3 in the form d*k**2 + t*k + i*k**3 + n and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24935\/614 + 34\/307. Find the common denominator of r and -61\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 131 + 19. Suppose -n = -2*l + 20. Suppose -4*u + 173 = 5*g + 10, -g + 3*u = -l. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2947788.\nAnswer: 2, 3, 81883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1451 - -1451. Solve g = -x - 17 + 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-60)*10\/(-12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1372.16 + -1372.1. What is the biggest value in -257, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + c - 22, 2*c + 2 + 4 = 0. Find the common denominator of (p - -6)*190\/8 and 7\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517896654.\nAnswer: 2, 3, 11, 7846919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 23 + 66 = 7*j, 5*j - 3*d = 29 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 24474?\nAnswer: 48948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 9*b + 9 - 28*b + 17*b - 18. Let y = 24 - 12. Let k = y + -20. Give t(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2142, -2714, -4260, -7272, -12242, -19662?\nAnswer: -30024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.97 - -4.97. Let m = -43 - -38. Which is the fourth biggest value? (a) 0.2 (b) -3 (c) m (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2213002 - 1011232?\nAnswer: -3230300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/6)\/((-4)\/(-42)*7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 15 + 6 = m, 2*d - 13 = -m. Suppose -3*w + 24 = 3*i - 9, -m = -3*i + w. Let p be (-2)\/3*153\/(-18). Which is greater: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from zzzgzzzzzzzzgzzzzzz?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 9 (b) 0.06 (c) -83 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38809*v**2\/4 + 591*v - 9.\nAnswer: -(197*v - 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -274033 or -274030?\nAnswer: -274030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -456346 (base 9) in base 10?\nAnswer: -273660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2130217135 + -1593.61\nAnswer: -2130218728.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 - 3*i**3 + 0*i**3)*(0 + 6 - 1)*(-1 + 3 + 0).\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 + -68. Let s(q) = -3*q + 5 + y*q - 3*q + 2*q. Let m(o) = o + 4. Give -3*m(x) + 2*s(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192507 is divided by 3526.\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 24 = -5*r - 2*a, 933 - 891 = 3*a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 128 = 2*q, v - 5*q - 54 = -0*v. Let o = -112 - -119. Suppose o*a = 9*a - 30. What is the remainder when v is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 7*r**2 - 7*r - 10. Let g be s(5). What is the third derivative of 313*k**5 - 309*k**g + 0*k**2 + 4*k**2 wrt k?\nAnswer: 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3312*s + 2975*s = 1414*s - 4089*s - 385366 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -1, -9, 21 in decreasing order.\nAnswer: 21, 5, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -354.7 - -355. Let z be 1\/((-14)\/4 - 0). What is the nearest to -1\/4 in i, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4648794536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45*a - 32*a + 59*a)*(4*a**3 - a**3 - 2*a**3) as r + p*a**2 + x*a**3 + g*a + o*a**4 and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 divided by -44?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 - 130 + 109 = -29*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03598 rounded to 3 dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-440)\/3615) - (-1864)\/(-2563)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32627\/11 + -2963. Let u = i + 31\/22. Suppose 3*n**4 - 6*n**3 + 3\/2*n**5 + u*n - 3*n**2 + 0 = 0. What is n?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65569 = -5*x + 3*y, -x + 12602 + 523 = y. Is x a multiple of 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15\/116 + -4829\/116. Calculate the common denominator of -109\/44 and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -37 - -27 - 133\/(-14). Which is the smallest value? (a) o (b) -12\/83 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -170 (b) 2 (c) -4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -543 - -483. Put -5, 3, t, -3\/4 in decreasing order.\nAnswer: 3, -3\/4, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 17*z - 27. Let h be q(21). What is the greatest common divisor of 30 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -54 + 28 + 50*2?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (46 + -46))\/(-1 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + j**2 + 7*j - 6*j - j to y*j + l + r*j**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3)*u)**(-15)*(u\/(u*u**(-2\/3))*u)**(-19)*((u**0)**45)**(1\/42) assuming u is positive.\nAnswer: u**(-125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b1 - c?\nAnswer: -c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59479997.\nAnswer: 59479997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**1)\/(v*v**6))**(29\/3)*(v**(-1))**(4\/3)*v\/(v**(-1\/6)\/v)*v**(-2\/5)*v assuming v is positive.\nAnswer: v**(-1987\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + -4 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -3982.\nAnswer: 1194.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185602877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1305873034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81960 - -134111. What is the ten thousands digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -632*u + 30. Let c be q(-1). Let p = c + -452. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 0.13 (c) -55\/827 (d) 9\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20458 is divided by 165.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quu when three letters picked without replacement from qqqqqqqqqquu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -847 - -862. Let o(h) = -h**2 - 8*h + 9. Calculate the least common multiple of o(-6) and y.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -738 and 60.5068.\nAnswer: -677.4932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5*q = 5, -15*q + 7 = 3*n - 11*q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 87162, 73746, 60330?\n\"Answer: -13416*t + 100578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.0743 (b) -826 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, 1\/43, 2\/21 in descending order.\nAnswer: 5\/4, 2\/21, 1\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -289 - -289. Sort 5, g, -3, -10 in descending order.\nAnswer: 5, g, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(209)\/(sqrt(11) + sqrt(396)) + 2).\nAnswer: -4 - 2*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, j: 2, y: 2, i: 1}. Give prob of sequence fijj.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 152*t + 5958. What is k(95)?\nAnswer: 543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -b + 1, -4*b = g - 12 - 7. Let s(u) = -2 - 2*u - 2*u + g*u. Let y(f) = -f**3 - 6*f**2 + f + 3. Let k be y(-6). What is s(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49279*x**2 + 49060*x**2 - 98396*x**2.\nAnswer: -57*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*f - 6 = 0, -15 = 20*f - 25*f. Solve j = o - 2 + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165850 divided by -82925.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 389963479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + -2 + 13\/3. Let x be 150\/(-135)*(-1)\/(-5). What is the fourth smallest value in q, x, 2\/15, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1216410 and 1170?\nAnswer: 3649230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 < 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1233 (base 15) to base 6\nAnswer: 25533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 9*j - 2. Let a(y) = 3*y**2 + 8*y - 3. Give -4*a(g) + 5*h(g).\nAnswer: -2*g**2 + 13*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 601.1515ng?\nAnswer: 0.0000000006011515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110686 is divided by 56.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 187 = -142. Suppose 5*s - 92 = -f - 10, -2*f + 159 = b*s. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 4*g + g)*(-2 - 3*g**2 + 2) + 2*g**3 - 1 + 1.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 12:42 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 878?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 - 316\/3. Let p = 306019\/32439 + -188\/983. Let m = t + p. Calculate the common denominator of -59\/45 and m.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - m + 9 + 0*m + m - 7*m. Is r(5) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/9? (a) -20 (b) 0.0336 (c) 1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**2 + 11*u - 11. Let g = -16 + 18. Let c(r) = -r**g + 2 + r - 3*r - 1 + 1. Calculate 22*c(p) + 4*x(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118882 is divided by 295.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from imimimeimi. What is prob of sequence eii?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*d + 41, 2*j = -3*d - 14 + 67. Solve 0 = -d*z + 28 + 17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from rsabe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 573452.2 decades in centuries?\nAnswer: 57345.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -30*p**2 - 864*p + 26. Determine g(-32).\nAnswer: -3046","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8159 and 1791.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**6\/120 - v**5\/60 - v**4\/12 + v**3\/2 + 2*v**2. Let l be u(3). Solve l - 3 = -3*f - 5*t, 5*t + 13 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(2 + sqrt(2800)) - ((3 + -1*sqrt(252) - sqrt(252)) + 4)**2.\nAnswer: -1065 + 68*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 14, 12, 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**4\/4 - 4*l**3\/3 + 3*l**2 - 2*l - 3. Let a be z(2). Factor -3*b**2 + a*b**2 - b**2 - b**3 - 3*b**4 + 4*b**4.\nAnswer: b**2*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6624\/139 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 132584327, 265168655, 397752983, 530337311?\n\"Answer: 132584328*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -424343133 (base 5) to base 4.\nAnswer: -12311320013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 22 = -2*q - 2*t, q - 2*t = -2. Let g be (-6)\/(-33) - q\/(-22). Let z = 4.2 - 4. Sort g, z, -1 in ascending order.\nAnswer: -1, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-666)\/504 - (-6)\/8?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 7*v + 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-155)\/(-2325))\/(1\/(-3))*13\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*k + 5*q - 781 = -75*k, 5*q = -5*k + 1930. List the prime factors of k.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.9 + 8.2. Which is the nearest to -1? (a) -0.1 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -868 and 3681?\nAnswer: -3195108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c - 2*o - 240, 70 = c + 2*o. Calculate the remainder when -10*9\/(-195)*(-39)\/(-6) - -182 is divided by c.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 21992346.1 to the nearest one thousand.\nAnswer: 21992000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5 = -3*q, -11*u + 173 - 150 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 157738069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 18*p**2 - 5253*p - 105868. What is h(-20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 66893 - 12*y - 66*y + 4*y**2 - 66899. What is the remainder when p(21) is divided by 54?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2094 + 5597?\nAnswer: 3503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - 4*x + 0*x + 6*x - 3*x - 2*x + (5*x - 4*x - 3*x)*(1 + 2 - 5) - 2 + 2*x + 2 - 3*x - 9*x + 4*x + (2 - 2*x - 2)*(3 + 0 - 5).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 18 + 20*p - 22 + 4*p**2 = 0 for p.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 + o**3 + 2*o**3 - 2*o**4 + (-4 + 4 - 2*o)*(-o**3 + 1 - 1) + 2*o**4 - o**4 + 2*o**4.\nAnswer: 3*o**4 + o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 910.5548mm in kilometers?\nAnswer: 0.0009105548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -35.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*x - 896518 = -894250 for x.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 n when three letters picked without replacement from kinonnnninnoinknnkok?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by (-3)\/(-60)*-4 + 484\/20 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvruvuuddv. Give prob of picking 1 v and 2 d.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(15\/(-4) + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2019\/59 in 0, -3, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 11*r + 268. Give f(-25).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 321632064 * -0.3.\nAnswer: -96489619.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 3. Let a be s(10). Let k = a + 8. Let p = 25 - k. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4 = 2*v, 8*q - 3*q + 2 = -v. Let d = -1.9 + 14.9. Let k = d + -13.5. Which is the second biggest value? (a) k (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 5. Let b = -0.1 + 0.6. Let o = b - -1.5. What is the third smallest value in j, o, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*h + 4 = -a - 110*h, 0 = 4*a - h + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*v**5\/4 + 37*v**4\/4 + 73*v**3\/4 + 67*v**2\/4 + 7*v + 1.\nAnswer: (v + 1)**3*(v + 2)*(7*v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17728 is divided by 335?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11112533.0427 + 11113102. Let x = -569 + g. Round x to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206, 1185, 3710, 8555, 16494, 28301, 44750, 66615?\nAnswer: 94670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*-3 - (-3 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 43*g - 40*g. Suppose -g - 2 + 4925*r**2 - 18*r - 4949*r**2 - 10*r**3 = 0. Calculate r.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35145 - -5055. Suppose -3*z - b = -0*z. Round z to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.7 + 12.9. Let o = d - -21.8. Let h = 27.999957 - o. Round h to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18158000 to the nearest 100000.\nAnswer: -18200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(1*sqrt(3)) + ((sqrt(12)*-1)\/sqrt(6))**2 - (sqrt(192)*-3 - sqrt(192))\/sqrt(6).\nAnswer: 2 + 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.1 - 0.142.\nAnswer: 7.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10101001011111010 (base 2) to base 10\nAnswer: 86778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**2\/7 - 410*w\/7 + 267028\/7 = 0.\nAnswer: -482, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 6:12 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3625796 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23739.87 + 23740. What is the smallest value in -0.4, d, -2\/89?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 3. Let o be n(6). Suppose -t = 13*k - 14*k + 5, 0 = -2*k - t - 5. Let v be (-2)\/(-3)*(k - o). Put 0, v, -3 in decreasing order.\nAnswer: v, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 158293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + 0 + -2 + 1. Suppose 0 = 4*t - l - 19. Is t less than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 562991042?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.47874773 and -1193?\nAnswer: 1196.47874773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-12))\/(85*12\/360)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 - 93 = -a + 3*u, -28 = 4*a + u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 312*f + 12168.\nAnswer: 2*(f + 78)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -58, 66?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-5))\/(4*143\/(-220))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**4\/12 + 2*h + 8824. Let d(z) = -3738*z. Determine d(a(k)).\nAnswer: 3738*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-13)*u)**(-3\/2)*((u\/u**(2\/67))\/u)\/u*u*(u*u**(-10))\/u*u assuming u is positive.\nAnswer: u**(601\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/27*(-6)\/(-4). Suppose -55 = -13*w + 10. Let a(o) = -o**3 - 1. Let r be a(-2). Solve -l*s - w = -r*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-10)\/(-2))*((-10)\/35 + (-3190)\/154)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 4347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2 + 13452*d - 22619538 = 0. Calculate d.\nAnswer: 3363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.4 - -0.1. Let i = -2 + a. Let z be (-34)\/204 - (-14)\/12. What is the fourth biggest value in i, z, 0.03, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262572024 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*j + 3*m - 59, 3*j + 3*m + 225 = 0. Let k = j + 357\/5. Which is the closest to 2\/7? (a) 5 (b) k (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(252)*3)**2 + sqrt(252) + sqrt(252) + 2 + sqrt(252) + -3 + (sqrt(252) + -2*sqrt(252) + 4)**2 + ((sqrt(252) + -2)*4 - sqrt(252))**2 + -3.\nAnswer: -318*sqrt(7) + 4869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011 (base 12) in base 11?\nAnswer: -2674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/9 + 99778*o\/9 - 7943840\/3.\nAnswer: -2*(o - 49649)*(o - 240)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/64 and -39\/1684984.\nAnswer: 13479872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 45*h + 1486. What is u(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3475 is divided by 697.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55.065 + 55. Let j = r - 0.057. Let o = 3.878 - j. Sort -10, -2, 1, o in decreasing order.\nAnswer: o, 1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(76)*1 + -4*sqrt(76)*-1 + sqrt(76))\/(sqrt(144) + 3*((sqrt(144) + (sqrt(144) - (sqrt(144) - -2*sqrt(144))) - sqrt(144)) + sqrt(144))).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024262 to 4 decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*q - 194 = 53, -5*p + q + 389 = 0. What is the remainder when p is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 45*y**2 + 135*y - 135.\nAnswer: 5*(y - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3685 - 7595 = -8*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*q + 3154 = 89*q for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1607918 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 402 + -279. Let o = n + -63. Let h(s) = -15*s**3 - 2*s - 1. Calculate the remainder when o is divided by h(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + (-1)\/4)*4. Let g = -0.9 + 0.4. Let v = 0.2 + g. Which is the closest to 1? (a) v (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.3 (b) -119 (c) -0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 255 = j, -4*j - 210 = -4*s - 2*j. What is the greatest common factor of 75 and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23257833 times -8?\nAnswer: 186062664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*s + n + 14 = 115*s, 3*s + 4*n + 4 = 0. Let h = 0.7 - 1. Let w be (-1)\/(-2) - (-15)\/(-6). What is the closest to w in 3, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**4 - 436*g**3 + 14568*g**2 - 129904*g - 321632 = 0.\nAnswer: -2, 19, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 24 = o - 4*o, -o - 18 = -3*b. Suppose 3*v + 88 = b*z, v + 8 = z - 8. Solve z = -5*d - 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -639 - -606.48. Let h = t + 33. Let w = -0.4799907 + h. Round w to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 29*c**2 + 9*c + 1. Let i be g(-7). Suppose -4*u + 484 - i = -5*t, t - 191 = 4*u. Suppose -200 - t = -7*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-213)\/(-6) + -4)*2. Let v be 14\/(-52)*(-36)\/l. Which is the second biggest value? (a) v (b) 0.3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxwwwwwxxxx. What is prob of sequence wxwx?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 266 + -1?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcz when three letters picked without replacement from iffkcccjjzcj?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475835699.\nAnswer: 475835699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 300\/48 + (-1)\/4 + -5. Let k(u) = 23*u**3 - u**2 - 2*u + 2. Let j be k(w). Calculate the highest common divisor of 770 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -127 + 158. Find the third derivative of 2*o**5 - 38*o**2 - v*o**5 - 5*o**5 wrt o.\nAnswer: -2040*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -3, 2, -1705, 1 in descending order.\nAnswer: 5, 4, 2, 1, -3, -1705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11178190 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 353996 to the power of 1\/2, to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 93714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4146 - 4146 - 10*k**2.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1)*g*g\/g**(-2\/29) assuming g is positive.\nAnswer: g**(31\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 221.4 + -226.2. Let o = 56 + -56.3. Which is the third biggest value? (a) -1\/3 (b) -4 (c) f (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 - 14*l - 15. What is v(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/1164)\/(1\/2). Is 0 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*f + 92*f + 2 - 2*f**2 - 125*f.\nAnswer: -2*f**2 - 194*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 + 28 - 28 - 35*q**2.\nAnswer: -41*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 116 - 71. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887556 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 20. Suppose 0 = 2*f - 99 - c. Suppose -140 = -3*d - f. Does 27 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*x = 0, -x - x = 6. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 24 = -105*o + 102*o, 2*o + 13 = -l for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1945421536?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 3*z + 9. Put 2, -6, 5, z in decreasing order.\nAnswer: 5, 2, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 0*w**2 + 7*w - 1 - w + w**2. Let j be o(-8). Let c(t) = t**3 - 13*t**2 - 30*t + 14. Calculate the least common multiple of c(j) and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/13 (b) -18 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3. Let y(f) = 20*f**2 - 1. Is y(r) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/((-369)\/12546).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 9, 28, 65, 126, 217?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 90*c**3 - 11*c**2 + 59. Does 3 divide u(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*i - 64, -3*a + 12 - 2 = 2*i. Let l be (i\/((-231)\/56))\/(1\/(-6)). What are the prime factors of 798\/8 - (108\/l - 6)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -106, -738, -2406, -5626, -10914, -18786?\n\"Answer: -86*v**3 - 2*v**2 - 24*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/25)\/(3\/(-15)). Find the common denominator of (-191)\/(-48)*i - -3 and 15\/14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -316.8400212 and -6621.\nAnswer: -6937.8400212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -939, -1890, -2855, -3834, -4827?\nAnswer: -5834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (112 + 13*q - 112)*(-3*q - 3*q**3 + q + 2*q**3) to h*q**3 + k*q**4 + x + i*q + o*q**2 and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249358 is divided by 249245?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2163271 (base 11) to base 14.\nAnswer: 70b708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 8*a + 4*a - a. Give j(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/11 - (15424\/352 - 44)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (333\/(-12))\/3. Let p = 70 - 70. Suppose -5*i + x - 21 - 19 = p, -5*x + 60 = -5*i. Which is greater: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1540*b - 16127332*b**3 + 16127261*b**3 - 1540*b.\nAnswer: -71*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -2148 and -49 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9958837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 4)*(-5 - (-7 + 5)). Let d be (-2)\/s*285\/10. Solve 2*f = -3*p - d, 2*p + 14 = -2*p + 3*f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 131078\/3 or 43694?\nAnswer: 43694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 96 = -3*r, 0 = 3*r + r - 16. 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: Let m(w) = 62*w + 2167. Let x be m(-37). Let q = 71 + -198. Are q and x unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m - 94 = 2*u, u + 57 = m. Suppose -6*c - 55*c + 4542 - 882 = 0. Let r = u + c. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 + 31*g**2 + 36*g - 74. Calculate a(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imizizezemzeid. Give prob of picking 1 d, 1 e, and 2 z.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and 1479.518.\nAnswer: -887.7108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 177, 101 in ascending order.\nAnswer: -5, 101, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 463 - 3?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4*c - 66 = -30, 0 = 5*c - 40 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 31515651*0.2\nAnswer: 6303130.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.01 and -8203.\nAnswer: 32894.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b = 75. Suppose 0*i + 4*x - 255 = -5*i, 0 = -5*x - b. What are the prime factors of i?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 17892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*h**2 + 0 + 0 + (-4 - h**2 + 4)*(1 + 3 - 3) - 29 + 29 + 8*h**2.\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -137? (a) -1 (b) -1\/5 (c) 5\/2 (d) -3 (e) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (22\/44)\/((-40)\/(-48)*1). Which is the closest to -0.03? (a) o (b) -0.5 (c) -24.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - 9 - -7) + 77504\/2240?\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 4*o + 98 - 74, 5*o - 6 = 4*x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1559*a + 2*d - 315 = 1560*a - 2*d, 0 = 5*a - 17*d + 1338 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 8896.51.\nAnswer: 8893.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 28*x - 30*x + 2*l, 6*l = x + 18 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqv when four letters picked without replacement from {v: 5, q: 11}.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 134203240434?\nAnswer: 134203240431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1030003 (base 4) to base 2.\nAnswer: -1001100000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4597 is divided by 371.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x. Let c(y) = 12*y**2 + 28*y**2 + 16*y**2 + 12*y**2. Determine q(c(b)).\nAnswer: -408*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -66 * -45660.7\nAnswer: 3013606.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 14687\/133 - 8\/(-14) - 2?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*k + 25 + 15, -2*u = 0. Let r be (-14)\/3*12\/k. Suppose -5 = -4*p + r. Solve -q + p = -2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 12*c = -568. Is 45 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 503*x**4 - 3*x**2 - 23*x + 262768.\nAnswer: 2012*x**3 - 6*x - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 + 1131230121?\nAnswer: 1131223233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 81524.\nAnswer: 5\/81524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 4*b + 29, -b - 2*v + 35897 = 35866 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/5 - 77296*o\/5 + 746833952\/5.\nAnswer: 2*(o - 19324)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 15, 1, -76.\nAnswer: -76, 1, 15, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 731, 3197, 7281, 12965, 20231, 29061, 39437, 51341?\nAnswer: 64755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-6))\/(38\/(-9576)*-42)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-135)\/5)\/81)\/((-74)\/8)*(-60)\/80?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0473533 take away 2?\nAnswer: -2.0473533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9598 + -9629.406. Let y = k + 0.506. Round y to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.61119004 rounded to four dps?\nAnswer: -0.6112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/39153557 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1))**(5\/2)*(r*r\/((r\/(r\/(r\/(((r*r**(-1)*r)\/r)\/r)*r)))\/r)*r)**(-2\/17) assuming r is positive.\nAnswer: r**(83\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -757 minus -0.042?\nAnswer: -756.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/(-7)*388\/1067. Which is the closest to 0? (a) j (b) 0.5 (c) 2 (d) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 52063.93 grams?\nAnswer: 52.06393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -7*s**5 - 6830*s**4 - 1088461*s**3 - 48656678*s**2 - 81007840*s - 33432800 = 0.\nAnswer: -790, -92, -1, -5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**9\/126 - v**5\/20 - 3*v**2\/2 - 3*v. Let y(p) be the first derivative of a(p). What is the third derivative of y(f) wrt f?\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + k - 124, 3*u - 4*k - 51 = 307. Let j = 27 + u. Let l = j + -34. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 337.000472 - 337. What is y rounded to 5 dps?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 2. Let i(x) = -3*x**2 + x - 1. Let b be i(d). Let t = -146.3 + 141.3. Sort b, t, 2\/15 in increasing order.\nAnswer: t, b, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10*r + 20 = 4*q, 2*q = 2*r + 8. Let t be ((-4)\/10)\/(r\/10). Solve -2*w + w - t = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-12))\/((-1760)\/600 - (-3)\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -665405216 - 0?\nAnswer: -665405216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -502, -1020, -1564, -2146, -2778, -3472, -4240?\nAnswer: -5094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -622878.7 to the nearest ten thousand.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 401567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 677532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u. Let l(h) = 15*h**2 + 7*h - 10*h + 3*h. Give l(q(w)).\nAnswer: 135*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 5122 - 3104 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -13*a**2 + a. Give c(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 211*c - 1. Let p(z) = -142410*z - 1. Calculate k(p(m)).\nAnswer: -30048510*m - 212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2. Let c(k) = 14*k + 2. Give v(c(m)).\nAnswer: -196*m**2 - 56*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttnn when four letters picked without replacement from {n: 4, t: 2, c: 4, r: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 216*n**3 + n**2 + 10*n + 11. Let k(g) = 431*g**3 + 2*g**2 + 17*g + 21. Calculate 4*k(t) - 7*x(t).\nAnswer: 212*t**3 + t**2 - 2*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14128822 is divided by 5183?\nAnswer: 5147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 9*c**2 - 10*c - 12. Let j(l) = 3*l + 4. Suppose 0 = m - 0*r + 4*r + 12, 4*r = 3*m + 4. Let h be j(m). List the prime factors of q(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmlklmmkmmkollkkk. Give prob of sequence okk.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -54, -0.3, -51, -0.2 in increasing order.\nAnswer: -54, -51, -2, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 + -1111110?\nAnswer: -1100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**2 - 5*g = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**5\/9 + 98*w**4\/9 + 308*w**3\/9 + 208*w**2\/9 = 0.\nAnswer: -2, -1, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 23*f - 20. Let z(n) = -7*n + 1. Let j be z(-3). Let y be d(j). Suppose a = -y*t - 3, 4 + 8 = -t - 4*a. Solve -4*r + t*r = -16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2500 and 360.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u. Let d(b) = b**3 + 4*b**2 + 3*b + 2. Let i be d(-3). Let n(f) = i*f**2 + 2*f**2 - 5*f**2. What is g(n(h))?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 11*r + 3. Let g be l(-11). Suppose -o + g*o = 5*f - 29, 2*o + 24 = 4*f. Solve -3*z + f*v = -5, -4*z - 1 = v - 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3293.388 hours in microseconds?\nAnswer: 11856196800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 234*d. Let t(i) = -396 - 463 + 859 + 0*i**2 - 2*i**2. Determine t(q(l)).\nAnswer: -109512*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79 (base 14) to base 4.\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -150.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m**3 - 2*m**2 + 1. Let a be t(1). Solve -14 = -3*v + v - 5*s, -a*v = -4*s + 31 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*x = 144*x - 3*x - 1633768. Which is smaller: 4982 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3, -5 in decreasing order.\nAnswer: 3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in 4, 1, 1\/2, -72.6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9354605 by 9.\nAnswer: 9354605\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 16) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/10, 0.4, -0.5, -2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18276*f**2*z**2 - 4*f**2*z + 107*f**2 + 24*f*z**4 + 14*f*z - 168*f - 2*z - 3 wrt z?\nAnswer: -36552*f**2 + 288*f*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33002*p**4*y - 58936*p**2*y wrt p.\nAnswer: 792048*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -231, -346, -461, -576?\nAnswer: -691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z. Let h(u) = -2*u. Let t = -8 + 8. Suppose -5*g - 30 = -t*g. Give g*i(o) + 7*h(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 20, 4*n + r - 4 = -0*n. Let v(y) = 5*y + 0*y**2 - 2*y**n - 6 + 3*y**2 - 6*y**2 - y**3. Let p be v(-6). Solve -g - 3*g + 12 = p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 17*a**3 + 64*a**2 - 10*a - 15. Calculate n(-4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5222259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 46230.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18786819 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-12)*20\/400?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/140 - 3\/((-144)\/148)*(-24)\/270?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10679*y - 85420. Determine i(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89025392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2908, -5, -1, -37, 24 in ascending order.\nAnswer: -37, -5, -2, -1, 24, 2908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((75\/2)\/(-15))\/(7*(-1)\/(-336)*-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -328 + 324.4. Let q = -3.58 - n. Put q, -5\/2, -3\/5 in increasing order.\nAnswer: -5\/2, -3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + -2.05. Let g = -34 - -31. Let w = i - g. Which is smaller: 0.1 or w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 - 47. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39552 >= -39509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -726\/7 + 104. Let x = -0.1 + 0.2. What is the closest to -1\/2 in x, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r)\/r**9*(r\/r**(-3))\/r**(-7\/3) assuming r is positive.\nAnswer: r**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, -5, -19, -39, -65, -97, -135?\n\"Answer: -3*q**2 + q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 440143 or 440137?\nAnswer: 440143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -3*l + 2*f, -3*f = 5*l - f + 116. Let m = l + 46. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*z - 2*p, -p - 3 = -4*z + 10. Suppose -5*s + 0*r + 4*r = -17, -6 = z*r. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(1*sqrt(12)))**2 - sqrt(243)*-2) + 3 - ((sqrt(3) - (sqrt(3)*5 + sqrt(3)))**2 + 1 + (sqrt(105)\/sqrt(7))\/sqrt(5)).\nAnswer: -70 + 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-18 - -3) + -8) - 7.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1822 - 89. Let v = d - 1725.87. Let u = v + -0.13. Which is the smallest value? (a) 5 (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10.8, 5, -13092?\nAnswer: -13092","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 48848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**6\/72 - 3*h**4\/2 + 2*h**3\/3 - h**2 + 21. Let n(t) be the second derivative of w(t). Let l(g) = 3*g**2. Give n(l(a)).\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 21 (b) 0.3 (c) 4\/17 (d) 2\/9 (e) 58\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2251256 - 6?\nAnswer: 2251250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -8*a**3 + 7*a**2 - 5084*a + 30524. Calculate n(6).\nAnswer: -1456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 278216.4um?\nAnswer: 0.0002782164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5*o = 5, -8*s - 4*o = -13*s + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/78)\/(84\/(-126))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*i = -18, -38*n + 41*n - 2*i - 12 = 0. Let g(x) be the first derivative of -1\/3*x**3 + n*x**2 + x - 3. What is g(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-2)\/28*1. What is the nearest to -1\/2 in m, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.481 - -0.519. Which is the closest to -7? (a) -2\/9 (b) s (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - -7. Let h = 0 + 2. Suppose h*a - 51 = -3*a - 2*d, -a + 4*d + y = 0. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*c*v**4 + 5*c*v**2 + 2*v**6 - v**2 - v wrt v.\nAnswer: -552*c*v + 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2796*l**3 + 3163*l - 2. Let z(t) = -2796*t**3 + 3169*t - 3. Let x(a) = -3*c(a) + 2*z(a). What is the second derivative of x(q) wrt q?\nAnswer: 16776*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, 34658, 2, 1, 0, -3 in descending order.\nAnswer: 34658, 3, 2, 1, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fylyllyluoyccc. What is prob of sequence ocfu?\nAnswer: 1\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 2 + l - l + l**2 + 6*l. Calculate b(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6123929 is divided by 458.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2137 by -12.\nAnswer: -2137\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*h + 94 = n, -3*n + 277 = 2*h. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10197, -10177, -10143, -10095?\n\"Answer: 7*u**2 - u - 10203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 2:58 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/486)\/(2\/(-36))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, a: 7, p: 1, d: 3, q: 3}. Give prob of sequence zpa.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (47*m + 6*m**3 - 47*m)*(-12 + 7*m + 28 - 11) + 0*m + 0*m + m**4 - 1 + 2 - 2 + 2*m**4 to the form k*m + f*m**3 + g*m**2 + z + o*m**4 and give o.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 55 + 1 = 0. Calculate the remainder when (t\/(-12))\/((-2)\/108) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*10)\/(((-4)\/(-57))\/((-412)\/(-3914))).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 5*u + 1672 = -0*u, a - 290 = -2*u. What is the remainder when a is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1311872 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -28. Is (f\/16)\/(-2 - (-18165)\/9084) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/2 (b) 19 (c) -5 (d) -0.35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2756 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*s - 4*s. Solve 0 = s*p + 3*n - 3, 0 = 3*p - 5*p - n + 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.14 in 4, 0.03, -7, 1\/10?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 y when four letters picked without replacement from {x: 4, y: 9, e: 3}.\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1519*q - 4376*q + 1503*q + 1349*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Convert 3.41418mm to kilometers.\nAnswer: 0.00000341418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 46*a**2 + 55*a + 135. Let b be g(-44). Let h = b + -355. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/8 (b) 10 (c) -5 (d) -2.2 (e) 3 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*y + 2 = 0, -y = 2*k - 4*k + 4. Let g be (-36)\/48 + 243\/4. Let l be 21\/g*2\/7. Which is the nearest to k? (a) l (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (160\/(-1904))\/((-60)\/(-420)).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99 + -293\/3. Determine o, given that 2\/3 + 2\/3*o**4 + w*o**3 - 4\/3*o**2 - 2\/3*o - 2\/3*o**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 10*w**2 - 10*w + 8. Suppose -6*x - 29*x + 1575 = 0. Suppose 126*c = 121*c - x. What is f(c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 11102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - s - 3*q + 18, -q = -5*s + 11. Solve s*i = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 10:09 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6a4 + c?\nAnswer: -697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -26\/5 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*x + x. Suppose 4*u = -2*q + 63 - 7, -4*q = -x*u + 20. Calculate the lowest common multiple of u and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8*t = 274 + 226, 4*p = -t + 2165. What is the smallest common multiple of 540 and p?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17630, -17623, -17616?\nAnswer: -17609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7*y + 109. Give t(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 4*f + 101 = i, 2*f = -10. Calculate the highest common divisor of 15106 and i.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 24*p**3 + 285*p**2 + 29*p - 28. Give d(-12).\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*m + 113*m - 2*x = 30, 2*m + 5*x + 3 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/(-15) + (-2)\/(-6). Suppose -j*o = -4 - 0. Solve 0*y + o*y + 8 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-5))\/(18*(-18)\/(-972))*(-28)\/(-6).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 163*a + 1394. Calculate j(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + a**2 + a + 1. Let g(k) = -3*k**3 - k**2 - 3*k + 1. Let p(w) = -c(w) - g(w). Let n be p(1). Suppose 0 - 2\/11*f + 2\/11*f**n = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 29 (b) -1398 (c) 2\/3 (d) 0.2 (e) 1\/9 (f) 3 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -314, -603, -978, -1439?\nAnswer: -1986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-18)*z\/(z**(2\/9)\/z) assuming z is positive.\nAnswer: z**(-146\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjzjzrzzzrjzzzzzz. What is prob of sequence jzzr?\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 1\/12*f**4 + 0 - f**3 - 2*f - 4*f**2. Let i be l(7). Which is the smallest value? (a) 0 (b) i (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5427*q**2 + 7*q + 4032. Let o(x) = 1807*x**2 - 2*x - 1344. Let f(m) = 7*o(m) + 2*s(m). Find the first derivative of f(l) wrt l.\nAnswer: 3590*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53950 divided by 130?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -4 (c) 3 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 6:32 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4242 is divided by 334.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62613.974507 + -62614. Round v to four decimal places.\nAnswer: -0.0255","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*k = -18, 5*k - 1 + 36 = -5*z. Let r be 48\/5 - 2\/(-5). Let c = r + z. Solve -2 = 4*o + 3*j, 2*j = 2*o + c - 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbvvbbbb. What is prob of picking 4 b?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5990 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 11*k**4 + 2*k**2 - 5*k. Let s = 6 + -8. Let o(i) = 5*i**4 + i**2 - 2*i. Let l(r) = s*t(r) + 5*o(r). Find the third derivative of l(a) wrt a.\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*j = 593 - 183 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b + 4*b + 575 = -44*b for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*w**2 + 119*w**2 - 16*w**3 + 2 - 253*w**2 + 2.\nAnswer: -16*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1619 or 8?\nAnswer: -1619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/85 and -89\/50.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*u + 5*u**3 + 48*u + (u - 2*u - u)*(u - u + u**2) to the form b*u**2 + r + k*u + l*u**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 - 412 = -5*a. Suppose -2*m - 276 = -12*z + 10*z, 2*m + 411 = 3*z. Calculate the highest common divisor of a and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 12 = 48. Solve 3*z + 2*z = v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2262657767 - 0?\nAnswer: -2262657767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 182, 184, 188, 194, 202, 212?\n\"Answer: c**2 - c + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 522 + -510. Let b = 14 + -6. Calculate the smallest common multiple of k and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 39. Let o be c*(3 + 42\/(-9)). Suppose -2*i + o = 3*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3967 * 33.\nAnswer: 130911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z + 8 = 20*z - 4*q, 0 = z + 5*q + 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/6)\/(2\/(-105)). Suppose 52*q = 67*q - 525. What is the highest common factor of z and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -361, -666, -971, -1276, -1581, -1886?\n\"Answer: -305*k - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*8 - (-75)\/(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 46 (c) -3 (d) -2\/3 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a meter in centimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34884?\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c8 + -17c?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1312916 and 570882?\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + 5. Let v(x) = -x + 9. Let a be v(0). Let j = a + h. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f**(-2\/13)*f)*f**7)\/(f\/(f\/(f\/(f*f**0\/f)*f)))**45)\/(f**(-4)\/((f*f**(2\/11))\/f)*f**(2\/3)*f**3) assuming f is positive.\nAnswer: f**(-34891\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(-3\/4)\/(f**(-2\/5))**(-25) assuming f is positive.\nAnswer: f**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-12) + (-22)\/(-4). Let y = 18 - f. Let u(j) = -11*j - 2. Calculate the smallest common multiple of y and u(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/15)\/(2\/(-10)). Let l = -68\/11 - n. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-3 - 1)*(-56246)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as 2\/8361829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from orrrrorokrrkrrko?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 3. Let j(a) = 2817*a**2. Determine o(j(p)).\nAnswer: 7935489*p**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - (3 + 10\/(-4))\/((-2)\/(-16)). Suppose 0 + 8\/3*r**o - 2\/3*r + 4\/3*r**2 - 4\/3*r**4 - 2*r**5 = 0. Calculate r.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -g + 44, 4*g + 2*b = 3*b + 176. Suppose g = 14*l - 12*l. Let m(c) = -4*c - 11*c + l*c. Let w(h) = h. Determine m(w(a)).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1554541 (base 6) in base 15?\nAnswer: 1c8aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**10\/50400 + w**9\/20160 + w**5\/15 - w**2. Let k(i) be the third derivative of d(i). Let k(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x = 8. Suppose 2*q = -2 - x. Let o be 14\/(-5) + (-8)\/40. Is o < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 9:01 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 2118 + 2133 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8 = x, 3*x + 7*p = 3*p + 16. What is the tens digit of -5 - (-207 + (5 - x))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 273*j - 8488. Give a(-28).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*w**2 - 185*w**2 - 85*w**2)*(-14*w + 4*w**2 + 14*w).\nAnswer: -772*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 + 24*(-11 + 352\/33). Let n(x) be the third derivative of 0*x**3 + 38*x**r + 0 - 1\/8*x**4 + 0*x. Let i(k) = -8*k. Calculate n(i(y)).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-360)\/162)\/(6\/(-27)). Let q(y) = y**2 - y - 4. Let d be q(3). Put 3\/2, l, d in ascending order.\nAnswer: 3\/2, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124 divided by -2816507\nAnswer: -124\/2816507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -144.3 - 3.7. Let m = -2401.5 - -2402. Put 0, m, w in descending order.\nAnswer: m, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -876652 (base 9) to base 2\nAnswer: -1111111101111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(153)*2*-5)\/(sqrt(1089)*-3 + -2*sqrt(324)).\nAnswer: 2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 5:00 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33942699?\nAnswer: 3, 7, 179591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 18762 - -38998. Is 80 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (33\/(-9) + 4)\/((-1)\/(-387))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmwmwwmmnm. What is prob of picking 1 w and 3 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9879, -0.3, 0.7, 2\/3 in decreasing order.\nAnswer: 0.7, 2\/3, -0.3, -9879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*d + 2*d. Suppose -d*i = -i. Let x = 31 + i. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 0, 77355, -88?\nAnswer: 77355","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnhnnnnnnnnhnnnnnn. What is prob of sequence nhnn?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhhqqciccc. What is prob of sequence qih?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 333 = 273. Suppose 0*v = -4*v - x + 253, x = -5*v + 317. Suppose 0 = -5*c - 9 + v. What is the remainder when g is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + w**2 - w - 1. Let x be d(-1). Let i(q) = -4*q**3 - 6*q**2 - 7*q + 13. Let h be i(1). Sort h, x, -43, 3.\nAnswer: -43, h, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 93*q**3*v**3 + 455135*q**3*v**2*y - 9*q**3 + 65*q*v**3 - v**3*y wrt y.\nAnswer: 455135*q**3*v**2 - v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8201 divided by 27?\nAnswer: 8201\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 10:37 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (31\/6)\/(30\/(-18)). Let j = -2.98 + -0.02. What is the closest to -0.1 in -2\/15, j, f?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 13*p**2 + 7*p - 1. Suppose -3*k = -1 + 13, -2*s = 4*k + 24. What are the prime factors of l(s)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9536\/11 - 867. Which is the closest to -3? (a) -3 (b) x (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 51516 = -5*v, 364*v = 366*v - 6. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + 14. Calculate the least common multiple of g and (5\/(-3))\/(-9 + (-1595)\/(-180)).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42747*(2 - (2 + 10\/6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19128, 38355, 57582, 76809, 96036, 115263?\nAnswer: 134490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/7, 4\/3, -1.8, 1\/3, 2\/171, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -55, -70, -103, -160, -247, -370?\n\"Answer: -u**3 - 3*u**2 + u - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 485251 and 29312?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.422706 years in months?\nAnswer: 41.072472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55017349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 780436448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 9022819*m**2 - 20352829210912*m + 61058406427392.\nAnswer: -(m - 4511408)**2*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, 3154068, 2 in descending order.\nAnswer: 3154068, 6, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/40*19\/(304\/60). Which is smaller: c or 730?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {q: 6, r: 12}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*s - 166*s = -409*s - 565 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 20 = 4*s, 0*f + 2*f = 2*s - 16. Differentiate -42*h**4 - h**4 - 29 + 3 - 26*h**s with respect to h.\nAnswer: -276*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**5 + 88*a**4 + 412*a**3 + 128*a**2 - 624*a = 0 for a.\nAnswer: -3, -2, 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80988 is divided by 298?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-3\/2)\/a*a))\/(a*a**(1\/5))*(a\/a**(-7))\/a**(-6) assuming a is positive.\nAnswer: a**(143\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*i - 55. Suppose 3*n - i - 11 = 5*c, 5 = -c. Is 0.2 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732430516 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4 - 25008*c**3 + 156274949*c**2 + 938950518*c - 2502800784 = 0.\nAnswer: -8, 2, 12507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 4652167.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -3. Suppose -4 - 11 = -3*u. Put 2, u, x in decreasing order.\nAnswer: u, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5235103692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 1\/18*d**4 - 15 + 0*d - 2\/9*d**3 + 2\/9*d**2. Determine j so that a(j) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8714*r - 76788 + 22044 = 93394 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37557 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24324253 is divided by 998.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 7*x**2 + 9*x + 22. What is h(-5)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 29 = -49. Let a(v) = 3*v**2 + 1. Let n be a(y). Suppose -587 - n = -12*w. List the prime factors of w.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i + 187 = 72 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -4 + (12 - 11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8494 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 7*i**2 - 10*i + 8. Let n be q(5). Suppose 0*y + n = 4*y. Solve 6*v = y*v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -6. Suppose -u - 4 + 12 = v. Solve 0*m = 4*m + u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 5, 2\/7, -47?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18578*i**2 - 54795*i**2 + 25810*i**2.\nAnswer: -10407*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 718.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21185 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -3 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-800)\/395 - -2) + 0. Let s = 164\/237 + v. Factor 1\/3*f**2 + s + f.\nAnswer: (f + 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*o + 13. Let t be (-6)\/(3\/6 - o). Which is the second biggest value? (a) 0.3 (b) 1 (c) 5 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*3.372.\nAnswer: -23.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -9*n - 1 - 3 + 1. Let w be b(-2). Solve -5*i = -2*i, 3*y - 3*i = w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 2*s - 17\/2*s**2 + 42. Let z(t) = -t**2. Determine z(y(b)).\nAnswer: -289*b**2 + 68*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**4 - 258*l**3 + 1965*l**2 + 1032*l - 7812 = 0?\nAnswer: -93, -2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(2)*-4 + 3 + (2 + sqrt(2)*1)*6.\nAnswer: 2*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 9*l + 150 = -4*l + l, -2*i - 3*l = -56 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14\/(-6)*-3)\/(-1). Let a be (-10)\/(-40) - c\/4. Solve l + g = -2, 2*g - g - 10 = a*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3783, 3799, 3821, 3843, 3859, 3863, 3849, 3811?\n\"Answer: -y**3 + 9*y**2 - 4*y + 3779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, b: 8, o: 4}. Give prob of picking 3 o and 1 f.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-49)\/21 + 4\/(-6). Let p = 1 + 3. Suppose -3*c - p - 5 = 0. Are c and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -0.34\nAnswer: -0.0238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2209 - 1534. Suppose -675 = -5*o - 2*t, 5*o - c = -2*t - 3*t. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64 * -33.5.\nAnswer: 2144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {g: 7, w: 2, b: 7, c: 1}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230\/2676*96\/(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 15*h - 13*h - 4)*(3*h - 3*h + 2*h) to the form k*h**2 + j*h + n and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 110001110010001011?\nAnswer: 110001110010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23436 and 2744802?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5019929, -5019946, -5019963?\nAnswer: -5019980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7 = -3. Let s(n) = 7 + 230*n + 180*n - 401*n - 3*n**2. Let f(c) = -4*c**2 + 10*c + 8. Let i(w) = p*f(w) - 6*s(w). Find z, given that i(z) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 3:08 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 8. Let h be i(-6). Suppose 2*t + 0*u = -h*u + 102, 2*t - 4*u = 120. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 831*d - 95335. What is g(136)?\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 12. Calculate v(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135.7565 - -122.41. Let x = m - -13.6. What is x rounded to two dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d - 46. Let l(x) = -6*x - 56. Give 7*b(m) - 4*l(m).\nAnswer: 3*m - 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -148*q + 8. Let g be x(-5). Let n = -407 + g. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 12:00 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(1*sqrt(11)) + (sqrt(19) - (sqrt(304) + 1 - sqrt(304)))**2.\nAnswer: -sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2131002322 (base 4) to base 2.\nAnswer: -10011101000010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 - w**2 + 3*w + 20 - 16. Give h(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y + 2. Let x(q) be the first derivative of -12 + 4*q - q - 3*q**2 + 0*q + 0*q**2. What is -3*n(r) + 2*x(r)?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 7:59 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-162 - 2*b + 329 - 164)*(4 - 4 - 3*b**2).\nAnswer: 6*b**3 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**2*j*m**3 + 50*b**2*j*m**2 + 15*b**2*m**3 - 2*b**2 + j*m**3 - j wrt m.\nAnswer: 18*b**2*j + 90*b**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 11, 35, 79, 149, 251?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -828 + 343. Let m = d - -486. Let x(i) = -i - 2. Let v be x(-6). Put v, 5, m in increasing order.\nAnswer: m, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18\/5 of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629170.\nAnswer: 2, 5, 17, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 + 35. Let z(x) = x + 4. Let c be z(w). Let j(h) = h**3 - 2*h**2 - 23*h - 4. Let u be j(6). Solve 3*v + u = -c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 43061*v - 645883. Determine c(15).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -26792484.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1684 in -4\/3, 0.16, -0.1, -5\/4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (390\/(-12))\/(-13) - 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -10373708.\nAnswer: -3\/5186854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 6. Let h be (6\/(-4))\/(12\/(-4))*12. Let r(o) = -3 - 5 - 2*o + 6*o. Let g(n) = -7*n + 15. Let u(p) = -3*g(p) - 5*r(p). Determine h*u(l) - 5*j(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -52.35, 8\/35.\nAnswer: -52.35, -0.2, 8\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/7*(-3)\/(-12). Suppose 3*x + 14 - b = 5*s, x - 1 = -s. Is 7\/10 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 38 + 2*f**2 + 65 + 38 + 23.\nAnswer: 2*f**2 + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2908453 rounded to three decimal places?\nAnswer: -1.291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(2)*-5 + -1.\nAnswer: -5*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*x - 9984 = 259*x for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/(p*p\/p**16))))**(-4\/23)\/((p\/((p**(-1\/12)*p)\/p*p))\/p**(-3\/2)) assuming p is positive.\nAnswer: p**(-1157\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0445 * 49.\nAnswer: 2.1805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-6))\/(54\/(-81))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-0.0354.\nAnswer: 0.01416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 250346 and 11535309.\nAnswer: 1763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**5\/180 - 769*j**4\/108 + 1535*j**3\/54 - 767*j**2\/18 + 4814*j - 2. Find y such that f(y) = 0.\nAnswer: 1, 767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3782898.27 rounded to the nearest 10000?\nAnswer: -3780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -63 and -62 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 213750.344 to the nearest 100.\nAnswer: 213800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 243236\/45 - 5404. What is the common denominator of -43\/27 and x?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 4:17 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -233*s**3 + 233*s**3 - 320*s**5 - s + 1844*s**2 + 850*s**5 wrt s?\nAnswer: 31800*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1200467?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -9752 and -9942 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/693 and 32\/9?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-3))\/(-1)*(348\/5)\/(-29).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h**3 - 14*h**2 - 3. Determine u(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -313.981 - 0.019. Let k = m - -313. Let f = 0.8 + -1.1. Which is the closest to f? (a) 0.5 (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 324 = 3*c, 20 = -0*c + 5*c. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 5*k**2 + 2*k**2 + (2*k + 2*k - 3*k)*(-2*k + 0*k + 0*k) - 2*k - 2*k**2 + 2*k)*(-119*k - 374 + 374).\nAnswer: 714*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 6:40 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 1:36 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -84*r**2. Let t(i) = 148*i - 12. Determine t(o(m)).\nAnswer: -12432*m**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7438 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46980744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3699274 to the nearest 10000.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1256520 divided by -314130\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -33 + 119993?\nAnswer: 119960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/165877297 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 29902.1553 to the nearest 10.\nAnswer: 29900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3*c**2 + 2*c + (-2*c**2 + 0*c**2 + 4*c**2)*(0 + 3 - 1) - 3*c**2 - c**2 + 2*c**2)*(4*c - 9*c - 10*c).\nAnswer: -75*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -376445\/11 + 34249. What is the biggest value in 1, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6bc4d84 + -4?\nAnswer: -6bc4d88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 9:22 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 3*m - 4. Calculate a(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44535 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 214.\nAnswer: 2996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(6*8\/(-192)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 5268 = -5*l - 5288, -24*l = -2*f + 96 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.7438 - 2.3438. What is the closest to -20\/19 in m, 1\/5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g = 43*g + 882*g + 4662 + 39176 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(5) + 3)**2 + 4.\nAnswer: 24*sqrt(5) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3799410691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - 0.5. What is the smallest value in p, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106\/5 + -421\/30. Let t = -6\/245 + -381\/49. Calculate the common denominator of t and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -424 - -559. What is the second biggest value in 5, 1\/2, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -14*g + 12. Let v(l) = l - 4. Let k(j) = 4. Let z(y) = 4*k(y) + 5*v(y). What is -6*f(d) - 17*z(d)?\nAnswer: -d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)\/(sqrt(6)*2 - sqrt(6)))**2 + 3 - (sqrt(325) - (-2 + (sqrt(325) - sqrt(325)*-2)**2))) + (6*(sqrt(117) + 0)*2 + 1)**2.\nAnswer: 67*sqrt(13) + 19788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -106300 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.93 take away -78231.221?\nAnswer: 78232.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -155*t**2 - 49*t**2 + 81*t**2. Let p(v) = -v**2. Determine p(x(c)).\nAnswer: -15129*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 5 - 3 + 1 - 2. Let t be -7 + 2*(-2)\/(-4). Let f(a) = a**2 - 6*a + 7. Let s be f(5). Let g(l) = 4*l + 3. What is s*g(p) + t*c(p)?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l - 9. Let a(o) be the second derivative of -o**3\/3 - 8*o**2 - o. Let w = 762 - 773. Let c be a(w). Give z(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxmeebih. Give prob of picking 2 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5210787 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 50, 146, 312, 554, 878, 1290, 1796, 2402?\n\"Answer: c**3 + 29*c**2 + 2*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzzibiizbzaa. Give prob of sequence iiaa.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.1 - -0.5. Let v = -2.599994 - y. Round v to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1631*f**4 + 86 - 326*f**4 - 86 + (-f + 0 + 0)*(f**3 + 0*f + 0*f) to the form y*f**2 + d*f + o*f**4 + a + q*f**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/7 - -13) + ((-78)\/(-6) - 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*p - 24, 17 = 4*u - 4*p - 11. Which is the nearest to 0? (a) u (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aodoadoddaooo. Give prob of picking 2 o.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -228?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -13*s**2 + 2*s + 4. Suppose 3*y - 10 = 5*h, 3*y = 2*y. Let x be 224\/(-42) + h\/(-6). Let m(k) = -14*k**2 + 2*k + 5. Give x*d(j) + 4*m(j).\nAnswer: 9*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.61350581 to 1 decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58691032811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + l)*(3 - 3 - 1)*(-20*l - 110 + 110).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41437547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2030730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = 10*g - 74, -657 + 665 = 3*g - 5*f for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46210536.\nAnswer: 2, 3, 641813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131229 and 1260.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/27? (a) -0.3 (b) -2 (c) 2\/13 (d) 2\/5 (e) -109.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102036.282 - 101801. Let s = a - 235. What is s rounded to two decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -268, 5, 2696 in ascending order.\nAnswer: -268, 5, 2696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5489 and 231?\nAnswer: 115269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 4)*(-2 + 6)*(-1)\/12.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9*h + 17. Let u be z(-13). Suppose -u*t + 15 = -137*t. Put t, -2, 51 in ascending order.\nAnswer: t, -2, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -20633255?\nAnswer: -20633260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 6:08 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (0 - 0)\/(-1). Let u = n + 4. Solve -2*l = u*l - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*k - 38*k + 5*y + 65, 0 = -5*k - 2*y + 40. Suppose -11 = -k*h + 39. Solve h*o = -x - 3*x - 11, 4*x = o - 17 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-6)*1*-34. Suppose 0 = -y + 37 + 131. Suppose -6 = 9*x - y. Which is smaller: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + 21. Suppose -2*a = -d + 9 + 17, 3*d + a - 43 = 0. What is the least common multiple of d and h?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*s + 45 = -786, -y = -s - 277. Let g = -226 + y. Suppose 0 = b - 0*b - 13. What is the remainder when g is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 11:46 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-2 + 0 - (65 + -20 + -30))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2. Let u(j) be the first derivative of -13*j**4\/12 + 39*j + 21. Let m(v) be the first derivative of u(v). What is s(m(t))?\nAnswer: 338*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7240551573 to the power of 1\/2, to the nearest integer?\nAnswer: 85091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1057*i - 1061*i + 5*t + 32 = 0, -23*t - 24 = -3*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v**5 - 39*v**4 + 810*v**3 - 2211*v**2 + 1452*v = 0. What is v?\nAnswer: -11, 0, 1, 11\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/23760 and -131\/3564?\nAnswer: 71280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 6233*j - 12466*j + 6236*j.\nAnswer: 3*j + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 t, and 1 h when three letters picked without replacement from iitnwlh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171 - 170.6. Let x be 4\/(-14) - (-6)\/21. Which is the closest to x? (a) 4 (b) -2\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22702, 90126, 202282, 359176, 560814, 807202, 1098346, 1434252?\nAnswer: 1814926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -13*m**2 + 3*m - 3. Let z be n(-3). Let s = z + 183. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 v when four letters picked without replacement from rtdtdvrdtdrtrfdrdddd.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -68.0222600936?\nAnswer: 71.0222600936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbqffffbllllsl. Give prob of picking 2 b and 2 l.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -286 - -10?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 6)*(-100*y**3 - 41*y**3 - 104*y**3).\nAnswer: -1225*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149315 - 31595 = 1721*w - 413*w for w.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.54 and -0.94?\nAnswer: 2.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 9*s + 0 - 1\/6*s**3 - 1\/2*s**2 + 1\/4*s**4. What is l(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 5*y**2 - 6*y - 2. Let h be j(-6). Suppose 0 = -37*p + 38*p + 5. Put p, h, 5 in decreasing order.\nAnswer: 5, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -19*m + 1106. Let s be k(58). Sort 3\/7, 2\/11, s, -0.3 in decreasing order.\nAnswer: s, 3\/7, 2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r. Let a(u) be the third derivative of 0*u - 31*u**2 + 0 - 19\/6*u**3 + 1\/24*u**4. Give g(a(h)).\nAnswer: -h + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/540)\/((-2)\/12 - 29\/(-30))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.762796 to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168947098?\nAnswer: 2, 23, 29, 89, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 22. Let x = -6 + 5.4. Let j = x - -1.1. Which is the biggest value? (a) -1 (b) j (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**2 + 18*m - 29. Determine b(5).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v + 4*k + 99, 41 = v - 4*k. What are the prime factors of v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f**2 - f + 1. Let p be g(1). Let k be (-1)\/3 - (-3)\/p. Let h(x) = -x**3 - x**2 + x + 2. What is the remainder when h(k) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(847)*-6*-6 + -5.\nAnswer: -1188*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 5*z - 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7763.3 * 314\nAnswer: 2437676.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 + 5*g - 4. Let v be a(5). Let r = -21 - v. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 0.1 (c) 2 (d) -329\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -3*d. Suppose 0 = 2*o - 5*u - d*u - 36, 2*o = u + 20. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -19, -4808, 75?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.45634 rounded to one decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/100683 and -28\/4441239.\nAnswer: 39971151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7*m = -16. Factor 11*t - 30*t + 10*t + m*t - 5*t**2.\nAnswer: -5*t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3209237*g - 9627707. Determine q(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f. Let w(u) = -287855*u**2 - u. Calculate w(t(d)).\nAnswer: -14104895*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**2 + 4*k - 480. Is 40 a factor of n(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1936 = -2*d - 0*d. Let g = d + 586. Is g*2*(-5)\/20 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -873418.35 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77387?\nAnswer: 19, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 203537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38514 + 466?\nAnswer: -38037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2aac3b (base 16) to base 2\nAnswer: 1010101010110000111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 6, 0.1, -5, 2\/7.\nAnswer: -5, -0.1, 0.1, 2\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 0.4, -9, -4, -2\/5 in decreasing order.\nAnswer: 52, 0.4, -2\/5, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -7*g + 942. Suppose 3*r = -4*c - 628, -2*c - 4*r - g = -2*r. Let o = -55 - c. Is 51 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*y - 5, 3*y = -5*o + 2 + 9. Let w be 1*(1 - y - -1). Suppose -c + 2*u + 65 = -w*u, -c - 4*u + 89 = 0. List the prime factors of c.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -727 (base 12) to base 10.\nAnswer: -1039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 109700, 0.3?\nAnswer: 109700","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 2 - 12. Suppose -r*n - 2*v + 62 = 0, v = -3*n - 0*v + 87. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 6. Let i be q(6). Suppose -2*d - m = -10, 25 - 5 = d + 3*m. Suppose -u + i*u = w - 206, 5*u + 405 = d*w. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32721 - -9.899522273?\nAnswer: -32711.100477727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a hour in minutes?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -81, -92, -101, -108, -113, -116?\n\"Answer: o**2 - 14*o - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*q + 3*z + 1, 3*z - 6 = -2*q. Let h(o) be the third derivative of -o**5\/20 - 5*o**4\/24 - o**3\/2 + 211*o**2. Determine h(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3190064060.\nAnswer: 2, 5, 167, 223, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(-15)\/t))\/t*t)\/t*t*t*t\/(t\/(t\/(t**7\/t)*t))*t*t**(-24\/11)*t**(-1\/3))**(2\/9) assuming t is positive.\nAnswer: t**(758\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 67*i - 30*i + 2997 = -7*i for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3862 - 2*m**2 + 329*m - 185*m - 143*m as r*m + s + b*m**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - p + 12, -5*p + 34 - 24 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**3 - 24*g**2 + 42*g + 335. What are the prime factors of z(-25)?\nAnswer: 2, 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -834 + 834. Solve -6 = -k*t + 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-1)\/(-6)*-6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18252391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 273 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8506, -8539, -8590, -8653, -8722?\n\"Answer: p**3 - 15*p**2 + 5*p - 8497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11215402 + -3104?\nAnswer: -11222510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1661071922.\nAnswer: 2, 19, 43712419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21810*j**4 - 12*j**3 + j + 9770024 wrt j.\nAnswer: -87240*j**3 - 36*j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19079 + 37695. List the prime factors of n.\nAnswer: 2, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 80 + 136 = 0. Suppose 4*u = f - 12, -4*f - u = -9*f + 41. Calculate the greatest common factor of r and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/29))**(-2\/61))**(11\/5) assuming r is positive.\nAnswer: r**(-66\/8845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 14129 = -14128 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.295, 3, 1 in decreasing order.\nAnswer: 3, 1, 0.295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from sssssdssdsssdsdsdsss.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -8*f + 6. Determine n(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (13 - 2 - 6) - (42 + 5 - 5)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 948 and 1582944567?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12736994 or -12736987?\nAnswer: -12736994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -11*t**2 + 126*t - 8. Let v(b) = 7*b**2 - 84*b + 5. Let o(l) = 5*m(l) + 8*v(l). What is the second derivative of o(c) wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*h**2 + 5*h**3 + 0*h**2 + 6*h**2 in the form n*h**2 + y + i*h + r*h**3 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347706469.\nAnswer: 11, 31609679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-9))\/(10\/(-45))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from {o: 1, c: 1, t: 6, z: 3, u: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55975 by -5.\nAnswer: -11195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 409331 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1738 by 4585.\nAnswer: -1738\/4585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {x: 3, l: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15504 (base 7) to base 6.\nAnswer: 32113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 9:32 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2967 = -3*j + 1598, 2*j = -3*q - 2758. Is -916 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10.099 from -59720724.\nAnswer: -59720713.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441*z + 412*z + 134 = 511 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 16*n**2 + 9*n + 4. Let m(r) = 4*r**2 + 2*r + 1. Let z(h) = h**3 + 5*h**2 - 37*h - 11. Let w be z(-9). Determine w*k(q) + 9*m(q).\nAnswer: 4*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 337443 (base 9) in base 15?\nAnswer: 3ee16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 - 135. Let t = m - -41. Let s be t + (3 - 2) - (-9 - -8). Solve s*h - 9 = -21 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/6 of a hour?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 7*h - 13. Let w(l) = -l**3 + l**2 + 8*l + 2. Let j be w(-3). Let b = j - 22. What are the prime factors of g(b)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4 - 1 - 3*g - 5*g + 3*g. Let j(z) = 16*z + 16. Let d = -2 + 30. Suppose 3*b - d = 2. Determine b*v(h) + 3*j(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 91*t - 52. Let p = -331 + 354. What is the units digit of k(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-9) - (-8)\/3. Suppose 32 = o*k - 0*k. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 6. Let d(i) be the third derivative of i**4\/12 - 7*i**3\/6 - 2*i**2. Let h(f) = 6*d(f) + 7*z(f). Let m(q) = q. What is h(m(u))?\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 44 + 3*z)*(-2*z + z - z) - 4*z - 2*z**2 + z + 4*z.\nAnswer: -8*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 486\/45*(-40)\/12. Is w smaller than -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 645599619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*s - 102, 0 = -7*v + 3*v - s + 232. Let u = -54 + v. Let d be 4\/(-22) - (-12)\/66. Solve p = -d - u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 27 = -o + x, 0 = 2*o + 4*x - 5793 + 5757 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -1) + (-3)\/24*0. Solve 0 = i*z + 4 + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a gram in milligrams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 481014 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + 4. Solve -2*z = 5*t + v, 0*t - 4*t - 10 = -2*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 6*m**2 - 7 - 3*m**2 + 4*m**2. Let o(p) = 5*p**2 + 6. Let f(y) = y**3 + 7*y**2 + 6*y + 6. Let g be f(-6). Determine g*x(r) + 7*o(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, t: 3}. Give prob of picking 1 t and 1 x.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*y - 6491 - 83, 4*y + 19674 = 3*b. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 1:42 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1044 (base 5) to base 16.\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*(17 + -38 + 22) + 17.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 15747 in descending order.\nAnswer: 15747, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 6*p**2 + p + 1. Determine l(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*l - 312 = 0, v + 4*l - 48 = 7*l. What is the greatest common factor of v and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8683689763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-3)*f**4)**3\/((f\/((f*f*f\/(f**(-1)\/f))\/f))**(4\/13))**(-3\/8) assuming f is positive.\nAnswer: f**(615\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54050 is divided by 1257.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 5*t**8\/336 - t**7\/21 - t**6\/24 + t**5\/6 + 2*t**2 + 25. Factor o(w).\nAnswer: 5*w**2*(w - 2)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + 12a0?\nAnswer: 12aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 7*v - v)*(40 + 3 + 0).\nAnswer: -473*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*b = -205*b + 558. Suppose -6*w + 3*w - 15 = 0. Let s(v) = -11*v - 12. What is the remainder when s(w) is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10917504 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -3, -0.24, 5, -0.5?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 7*t - 12. What is the tens digit of i(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 289*j**6\/60 - j**5\/30 + 77*j**4\/24 + j**2 + 410. What is the third derivative of x(u) wrt u?\nAnswer: 3468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 241*l**2 + 14*l**4 - 41*l + 237*l**2 - 719*l**2 + 3*l**3 + 1 - 15*l**4 + 245*l**2 to d*l**3 + g*l + i*l**4 + h*l**2 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -63*n + 67*n + 1 - 6, 0 = -g + 2*n - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - y - 4 = 0, -37*y = -l - 41*y + 10. Let z(o) = 4*o - 1. Let q be (2\/6)\/((-2)\/(-6)). Let b be z(q). Solve 0 = l*t - 11 + b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 7*d**2 + 146 + 2*d + 6*d**2 - 7.\nAnswer: -2*d**2 + 2*d + 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2046 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 447757649 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 32. Sort v, -4, -2 in descending order.\nAnswer: -2, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 0 (b) -0.13 (c) -11 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192\/160*10\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5581*a*l**3 + 24*a*l**2 - 1388*l**2 wrt l?\nAnswer: 33486*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/122488660 and -67\/134737526.\nAnswer: 1347375260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/273)\/(9\/882*14).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1129*j**2 - 1160*j**2 + 3492*j**2 - 1161*j**2.\nAnswer: 42*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 4*u + 1814, 5*y + u = 9*y - 2436. Calculate the greatest common factor of 183 and y.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 13. Let w be r(11). Suppose 4 = -w*m - 10*n + 5*n, 6 = -3*m + n. Let i = m + 2. Solve y + i*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -603629.\nAnswer: 1\/603629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 7*t - 2*t)*(-58*t + 452 - 452)*(0 + 2 + 0).\nAnswer: 1044*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -y + 282 - 261, -2*y - 3*z + 14 = 0. What is the nearest to y in 3, 2, 38.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/18720 and -7\/132.\nAnswer: 205920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 9*m + 38. Let r(b) = -5*b - 19. Let j(s) = -3*o(s) - 5*r(s). Let v(p) = -p - 9. Calculate -6*j(c) + 13*v(c).\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -199, -17, -1, -3, 7, 3 in ascending order.\nAnswer: -199, -17, -3, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 1:51 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 22032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 2 + 38 = 0. Suppose r*n - 9*n + 1564 = -5*f, -f + 2116 = 4*n. Is n a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.6 and 0.4321?\nAnswer: 0.1679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**2*n**4 - 108*i**2*n**3 + 6*i**2 - 2*i*n**2 + 2*n**4 - 1 wrt n.\nAnswer: 48*i**2*n - 648*i**2 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11, -53, -127, -245, -419, -661, -983?\n\"Answer: -2*b**3 - 4*b**2 - 16*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 302578883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 12 + (18 - 14)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**5 - 124428*u**4 + 977979072*u**3 - 160718791856*u**2 + 6592896186240*u + 6754593081600 = 0.\nAnswer: -1, 84, 15470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 10 = 10*u. Let f be u\/(-6)*3 - -20. Solve 3*g - 14 - 10 = -3*d, 2*g = -3*d + f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -100, -8, 6, -5, 83, -3, 3 in decreasing order.\nAnswer: 83, 6, 3, -3, -5, -8, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c**3*n - 5*c**3 - 4*c**2*n + 628*c*n + 287 wrt n?\nAnswer: -2*c**3 - 4*c**2 + 628*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 159.036 + -0.036. Let y = g + 13. Let m = 173.57 - y. Round m to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-5))\/1 + (-428)\/(-10). Suppose -2*a - g = y - 272, 3*a + y = 342. Is a a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 30 - 33 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19727549297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 6*v**2 - v - 4. Let a be q(-6). Let o be 2 + (0 - 0 - a). Let c = o - -1. Is c at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -19*u + 11. Let j be t(-10). Suppose -j - 27 = -3*w. What is the highest common factor of 19 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o - 97118*o**2 + 2*o**3 - 39*o**4 + 48537*o**2 + 48558*o**2 - 2 in the form z + i*o**3 + s*o**2 + t*o + l*o**4 and give l.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/4 + 2\/2. Find the second derivative of -6*u - 15*u + 11*u**m + 16*u wrt u.\nAnswer: 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001472471353 rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 3:30 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -266957, -266950, -266943?\n\"Answer: 7*q - 266964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 631ca - d?\nAnswer: 631bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + (sqrt(156) - sqrt(156)*-5)*1 - sqrt(156)) + sqrt(156))\/sqrt(3) + (sqrt(13) - (1 + sqrt(13))*3) + (sqrt(52) - sqrt(208))\/sqrt(4) + -3.\nAnswer: -6 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**2 + 14*d - 26. Let b be a(-21). Let i = -967 + b. Is i a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v - 62194 + 31065 + 31128.\nAnswer: 9*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -6 + -30 - 4 - -6.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 8:52 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 214269 smaller than 214269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -8, -3*y = -22*g + 17*g - 47 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*v**2 - v + v + 54*v**2 in the form r*v**2 + h*v + s and give r.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*47\/2 - -2. Let r = w - 19. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2517\/8 + -327. Let k be ((-51)\/(-4) + 0)*436. Let x = -66667\/12 + k. What is the common denominator of x and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -20) + -15 + 8\/(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f - 8 + 25*f**2 - 24*f**2 - 1 + f. Let k be s(-4). Let u be (4 - (-56)\/k)\/2. Which is the closest to -1\/3? (a) u (b) 5 (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33922369289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - (-5 - 3) - -12)\/(3\/(-33))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1052 - -3298. What are the prime factors of b?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15117 divide 6376335483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 32*o**2. Let d(p) = 136 + 132 - 2*p**2 - 403 + 135. Calculate d(h(t)).\nAnswer: -2048*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5627*210\/(-40698) + -29?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 395 (c) -9 (d) -48\/199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - z - z)*(-4*z**3 - 4*z**3 + 3*z**3) - 2*z**4 + 0*z**3 + 0*z**3 + (2*z**2 - z**2 - 3*z**2)*(1 - 1 + 2*z**2).\nAnswer: -11*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2649 - -2560. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275658861 to the power of 1\/2, to the nearest integer?\nAnswer: 16603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 3. Let y(g) = 5*g**3 - g + 0*g - 17*g**3 + 0*g. Let x be y(k). Solve -4*d + 4 = r - 11, -3*r = 4*d - x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 1 - 1)*(-6*p**4 + 3*p**4 + 2*p**4) + 0*p**5 + 0*p**5 + 2*p**5 - 54 + 54 + 2*p**5 + 2*p**2.\nAnswer: 3*p**5 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + (-90668)\/(-4123))*-7?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -445\/52867 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10*(-40)\/(-32)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 8 = 2*m - 2, 0 = 2*m - 2*f + 2. Let p = -10 - -10. Suppose -m*q = -p*q. Solve 4*v + 4*k + 4 = q, 4*k - 9 = -v - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2259+-0.3\nAnswer: -2259.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*z - 24, -z = -4*z + 2*l + 32. Let n be 10\/z + (-1)\/1. Let h be (-3 - 0) + 56\/12. What is the closest to n in 0, -1, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4021161 (base 9) in base 4?\nAnswer: 20022121213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m - 54. Let p be q(-7). Let n = 17 - 10. Let y be -3*(n\/(-3) + 1). Solve -18 = y*w - p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 132, 530, 1192, 2118?\n\"Answer: 132*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**35\/c**(-3\/2))\/(c**(-3\/4)\/(c\/(c\/(c\/c**(-3)*c))))**(6\/19) assuming c is positive.\nAnswer: c**(728\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -88*m - 266. Determine x(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 5*m = 11, -114*m - 12 = 3*h - 117*m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9193 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 + -73. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 + 4*v - 10. Let q be m(-8). Suppose -5*h + z - 6*z = -215, -q = -2*h + 4*z. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76226058.3 + 0.\nAnswer: 76226058.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -0.9. Suppose -11 - 1 = -4*t, -31 = 5*y - 2*t. What is the closest to 2\/7 in y, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from {u: 1, n: 2, o: 3, b: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*q + 2*m - 380, 3*m - 364 = 4*q. Let p = 44 + q. What is the units digit of p\/(-4) + 8\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -296913 divided by 49.\nAnswer: -296913\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 + -244 + 50 + 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 916, 594, 58, -692, -1656, -2834?\nAnswer: -4226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37524?\nAnswer: 2, 3, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 76*u + 182. Let b be n(-14). Let z be (1*(-2)\/3)\/(4\/b). What is the highest common factor of z and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 130 - 97. Let y(f) = -37 + r - f - 2*f. Calculate y(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 + (-5)\/4)*((-46322)\/2070 - -20) and -76\/1485.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37\/4 - 267\/28. Put -2, q, 0.08 in ascending order.\nAnswer: -2, q, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.928917 nanometers to millimeters.\nAnswer: 0.000008928917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**3\/6 + 13*z**2\/2 - 31*z. Suppose 5 + 15 = 5*b. Suppose b*f + 14 + 14 = 0. Give n(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 2, -8 in ascending order.\nAnswer: -8, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 - 9714078\/(-54) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198204 and 360588.\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 556547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86.7 + 4.3. Let h = 89.3 - v. Is 2\/7 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.1 + 11. Suppose -k + 5*m = -5, 0 = -k - 3*m + 2 + 3. Which is the biggest value? (a) x (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13631*r**3*x**3 + 127*r**2*x**3 - r*x**3 - 2*r*x + 13*x wrt r.\nAnswer: -81786*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618196 is divided by 440.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.777 less than -291.7?\nAnswer: -290.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 440400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 10*a - 4*a - 4*a. Let j(o) = 2*o - 3. Let f(n) = 5*n - 5. Let s(r) = -3*f(r) + 5*j(r). What is s(p(t))?\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 273256975 to the power of 1\/2, to the nearest integer?\nAnswer: 16530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 813, 3900, 9013, 16152, 25317, 36508?\nAnswer: 49725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**5*n)\/(n*n**(11\/2)*n))\/(n**(2\/5)*n)**(-10\/19) assuming n is positive.\nAnswer: n**(-371\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 818 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18908 and 5216.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 1. Let k(z) = -5. Let n = 25 + -20. Let l(u) = n*t(u) + k(u). Let c(v) = -3*v - 20 - 27 + 47. Determine l(c(f)).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 4*h, -5*h - 259 = -14*w + 7*w - 54*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 + 6*c**3 - 9*c**2.\nAnswer: 3*c**2*(c - 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -189*b**3. Let p(l) = 10*l**3. Determine -3*i(n) - 56*p(n).\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**6\/360 - d**5\/24 - 13*d**4\/24 + 6*d**2. Let z(x) be the second derivative of q(x). Determine z(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 12*w**2 + 2*w - 11. Let b be h(-12). Let l = b + -10. Is -45 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2305*x - 31360 + 93940 + 103292 - 25267 = 0 for x.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48250)\/965*(6\/2)\/(-3).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 215500 divided by -2155\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7043 - 3737. Does 74 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2. Let f(l) = -14*l - 252. Let r(c) = 252*b(c) - 2*f(c). Let h(m) = 2*m. Calculate r(h(i)).\nAnswer: 56*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {h: 4, a: 5, n: 6, c: 5}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*i + 38, -10 = -5*r + i + 4*i. Suppose -126 = -r*l + 4*l. What is the smallest common multiple of l and 49?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-4)\/((-60)\/245). Let s be (-14)\/z + 4\/14. Suppose s = -7*w + 18*w - 66. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.072 and -126?\nAnswer: 9.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538213 is divided by 221.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7.5457 times -0.1\nAnswer: 0.75457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -12 - (30 - (53 - -3) - -15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lonlnlno. Give prob of picking 1 l and 1 n.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + 50 - (-94 - -61)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eue when three letters picked without replacement from eooeouuuoooo.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 1 - 0) + -1 + 0 + 17 + -14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -2*g + 2, 3535*g - 3538*g = -5*y + 45 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f. Let x(d) = 8*d + 54. Let k(o) = -o - 6. Let c(z) = 36*k(z) + 4*x(z). Determine 4*b(y) - 3*c(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -442, -506, -574, -646, -722, -802, -886?\n\"Answer: -2*u**2 - 58*u - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 535?\nAnswer: -1\/535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 670*k**2 - 56446*k + 55778.\nAnswer: -2*(k - 167)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 917*y**2 - 8296*y - 112589. Calculate s(-908).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-494)\/494)\/(7\/(-2))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*(11\/11 + (-1 - -1)). Suppose -z - y = 2*k, -3*z - 2*z + k - 14 = 0. Let r = -17\/15 - -4\/5. What is the nearest to 0.1 in r, z, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14537 + -6716. Suppose -10*z + z + x = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, p: 2, y: 5}. Give prob of picking 1 u, 2 p, and 1 y.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -307 or 1565379?\nAnswer: -307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, 0, 5 in increasing order.\nAnswer: -105, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 4:59 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 17*f**8 - f**4\/12 + 249*f**2 - 497*f. What is the third derivative of y(v) wrt v?\nAnswer: 114240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from kulak?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -0.02, -20\/9, 16.84, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 42b03b (base 15) to base 6\nAnswer: 152023215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 6*c - 14. Let o be b(6). Let g(q) = q**3 + 13*q**2 - 16*q - 12. Calculate the remainder when 30 is divided by g(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w - 3. Let c be r(2). Let a = -9 - c. Calculate the remainder when 45 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 526 or 2738?\nAnswer: 526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -0*o - 48. Solve 0 = -3*y - 3*t + 5*t - 1, 0 = 3*y - 3*t + o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6*i**7)**34 assuming i is positive.\nAnswer: i**442","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -16915870?\nAnswer: 3\/8457935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017 less than -432170.4?\nAnswer: -433187.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3728306 and 19964.0892?\nAnswer: 3708341.9108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*o**3 + 246*o + 467*o**4 + 795*o**3 - 1245*o**2 + 3878*o**2 + 154*o**3 - 144 + 738*o**3 + 33*o**5 = 0 for o.\nAnswer: -8, -3, -1\/3, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.13 + 2.13. Put b, 0.5, -0.6 in increasing order.\nAnswer: -0.6, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.127 - 3.327. Let q = c - -3.2000104. Round q to seven decimal places.\nAnswer: 0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -23*i + 179. Determine a(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71082113?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*h + 15 = 0, -t - 3*t = -4*h. Suppose t*r - 34 + 24 = 0. What is the smallest common multiple of 86 and r?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 42, 43, 46, 51?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25326296 divided by -3165787.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 448 + 374. Let k = -186 - f. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 1:02 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64137 - -90632. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by 3.\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 plus -1425052967?\nAnswer: -1425052969.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*x - 1623 - 379 = 0 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - n. Let p(m) = 176*m**4 - 6*m**3 + 6*m - 194. Let q(b) = -p(b) - 6*s(b). Differentiate q(j) with respect to j.\nAnswer: -704*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1821, 1739, 1657, 1575?\nAnswer: 1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8441093*u**5 + 2*u**3 + 2393*u + 114523 wrt u.\nAnswer: 168821860*u**3 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6756990973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36921*n**2 + 12300*n**2 + 12299*n**2 + 12348*n**2.\nAnswer: 26*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + p = 7543738, 0*p = 2*f - 2*p + 3771872. Let j = f - -755934. What is j rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuea. Give prob of sequence ue.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -523, 0, 2, 4, -5 in increasing order.\nAnswer: -523, -5, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 433\/2598*(-30)\/(-8).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -12852.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2455360 less than -1.3271?\nAnswer: 2455358.6729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 5, -2, 108, -1, 0.\nAnswer: -12, -2, -1, 0, 5, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60100, -238998, -537162, -954592, -1491288, -2147250?\nAnswer: -2922478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/7 + 196424*a**2\/7 + 4840623370*a\/7 + 124928451700.\nAnswer: 2*(a + 182)*(a + 49015)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 1:00 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*b = 12 - 34, 5*m = 2*b + 62. Let f = 65 - m. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12755441.\nAnswer: 19, 671339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-343*m - 147*m - 615*m)*(-10 - 2*m + m + 13)*(m**2 - 4*m**2 + 5*m**2).\nAnswer: 2210*m**4 - 6630*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28332, 28333, 28334?\n\"Answer: h + 28331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 317*c - 263. Is z(33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(117)*2 - sqrt(13)))**2 + sqrt(13) - (sqrt(832) - (sqrt(832) + sqrt(832) + -3)**2)) + -6*(-1 + sqrt(39)\/sqrt(3) - sqrt(13))*-3.\nAnswer: -103*sqrt(13) + 3527","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -121677000 to the nearest one million.\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-300)*-45*(23 + (-18)\/6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -98879789.60000105 + 98879795. Let p = 5.4 - o. Round p to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a + 1217. Let h(o) = 9*o - 150. Let s(j) = -25. Let m(x) = -h(x) + 6*s(x). Determine r(m(z)).\nAnswer: 18*z + 1217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 687 - 11?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 78 = -y + 610, -4*y = 3*m - 2787. What is the remainder when y is divided by 174?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/5 + 106816*r\/5 - 1426207232\/5.\nAnswer: -2*(r - 26704)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/63)\/((21\/42)\/(3\/4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242 and 682.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2*sqrt(50))\/sqrt(10))**2 - 4*(1 + sqrt(15)\/sqrt(3)).\nAnswer: -8*sqrt(5) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -10\/9, -2\/5, -6\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39273 divided by 57.\nAnswer: -689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 202?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-14) + (-924)\/(-49) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -49986624.\nAnswer: -1\/49986624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 976 - 972. Suppose -926*j - p = -928*j. Let s = 1303\/9 + -145. Which is the closest to s? (a) 5 (b) 1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18050 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + sqrt(288) + -1 + (sqrt(1440)*2 + sqrt(1440))\/(-3*-2*sqrt(5) - sqrt(5)).\nAnswer: -8 + 96*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c + 7. Let t = 37 - 44. Let u be l(t). Let x = 24 + u. Let a(o) = o + 5. What is a(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 23.2 - 23. Let i = 0.00729 - -0.29271. What is the third smallest value in g, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.175 minus 0.2?\nAnswer: 2.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 28 (b) 2\/5 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25517903?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 410\/25 + 4\/(-10). Suppose -g = -6*y + 2*y. What is the highest common divisor of 16 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 99 = -7*c. Let t = c + 0. Suppose 2*y = -4*h + h + t, 4*h + 2*y - 42 = 0. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -894.23\nAnswer: -894.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-4)\/(12*(-7)\/14))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/306 and 67\/1530?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/2 - 15*j**2\/2 - 6*j + 14.\nAnswer: -(j - 1)*(j + 2)*(j + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112330311 divided by -87.\nAnswer: -1291153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w. Let j(d) = -12*d - 3. Let a = -81 - -39. Let x(u) = a*c(u) - 2*j(u). What is the remainder when x(1) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**3 - 36*i**3 - 26*i - 5*i**3 - 23*i + 50*i.\nAnswer: -46*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/5))**(-2\/3) assuming v is positive.\nAnswer: v**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4*x + 11 = 2*x, 2*x = -k - 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 - 57*n**2 + 41*n + 268. What is i(-29)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 1629.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 24*k**2 - 6*k + 4. Let a be m(4). Suppose 0 = 2*d - 2*n - 603 - 161, d + 5*n - a = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1243 and -0.4.\nAnswer: 497.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90261 is divided by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -374 or -447?\nAnswer: -374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 18*c - 2. Let j be q(11). Suppose -5*a + 2*w + j = 0, 2*a + w - 42 = a. Suppose a = x + x. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 33 + 37. Solve 7 = j*r - 2*z, -r = 4*z + 3 - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l - 35. Give j(-16).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1287 by -39.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111 + 110 - 8*w**2 - 212)*(0 + 0 - 1).\nAnswer: 8*w**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10525 is divided by 5259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32771 rounded to three decimal places?\nAnswer: 0.328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*r - 595 - 917 = 0 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 161687, 323450, 485211, 646970, 808727, 970482?\n\"Answer: -y**2 + 161766*y - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 717 and 12463611?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0564 - -144.7436. Let b = 64.2 - x. What is b rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -833c - 249?\nAnswer: -8588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338640?\nAnswer: 2, 3, 5, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13851430 (base 9) to base 10\nAnswer: -6883569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100174*m - 101819*m + 179305 = 0 for m.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76632916933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1940, -251, 90.\nAnswer: -1940, -251, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1040, 2082, 3124?\n\"Answer: 1042*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550*i + 271*i + 63 = -300*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-1)\/(-6))\/((-43)\/(-129))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3583777 - -7995.\nAnswer: 3591772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 5. Let j be o(0). Let m(u) = u**3 + 4*u**2 - 7*u. Let h be m(j). Suppose -3*g = -4*r + 3 - h, -g = r. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 - 0.12199.\nAnswer: 0.47801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -j - 3*c, 42 = -2*j - 4*c - 4. Let t = 37 + j. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -0.17 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + i + 1. Let z(h) = -13*h**3 - h**2 - 21*h + 1. Let a(r) = -3*v(r) - z(r). Is a(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(-4 + (-86)\/(-20)). Find b such that 0*b**2 + 9\/5*b - 3\/5*b**3 - z = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 - 0.3. Let x = 449.1 + -448.8. Which is the closest to x? (a) -2\/25 (b) f (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004389 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-8)\/(-56)*(-125)\/(-4)*(-18)\/45\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 376708955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**4 - 4*j**4 - 3*j**4)*(-2 + 2 + 2) - 2*j**4 - 2*j + 2*j - 4*j**4 + 4*j**4 - 6*j**4 - j**2 + j**2 - j**4.\nAnswer: -17*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 12 = 2*l, 12395*l - 12390*l + 87 = -44*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 407*r + 22. Let b(o) = 817*o + 45. Let m(q) = 3*b(q) - 5*f(q). What is the units digit of m(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 761269929?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 176, -160, -6, -1 in descending order.\nAnswer: 176, -1, -6, -18, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {b: 5, j: 1, f: 1, n: 1, i: 3, a: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -605 (b) 0 (c) 1\/3 (d) -1157\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 3*i + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + 31. Suppose -o = -2*l - l. Let y(p) = -5*p - 11. Calculate the lowest common multiple of y(-5) and l.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 4. Suppose -6*r = -2*r. Suppose -3*u - h + 1 = r. Which is smaller: -4\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**2 + 200*v + 92. What is the remainder when m(38) is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = -4*s + 42, 0 = -3*s - 5*n + 40. Let w(p) be the first derivative of s + 3\/2*p + 1\/2*p**3 + 3\/2*p**2. Factor w(m).\nAnswer: 3*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/9 + 460*u**3\/9 - 7096*u**2\/3 + 41204*u\/9 - 20374\/9 = 0. Calculate u.\nAnswer: 1, 61, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6 = -d. Let t = 4 - d. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-150)*3)\/(1\/(-65)). Let o = -1153 + 1157. Put -5, t, o in ascending order.\nAnswer: -5, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 247, 558, 1011, 1606?\nAnswer: 2343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/35 and 39\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15498 by -3.\nAnswer: 5166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 9) to base 3.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (26460\/(-7840))\/((-9)\/(-4))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2148 by -3.\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 14*t**2\/9 - 374*t\/9 - 12 = 0.\nAnswer: -2\/7, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70972891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8\/17, 0.2, -5, 0.96, -1.\nAnswer: -5, -1, 0.2, 8\/17, 0.96, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1219, 3644, 7667, 13288, 20507, 29324?\nAnswer: 39739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s**3 + 6*s**2 - 10*s - 5. Let b(h) = -h**3 - h**2 + h + 1. Suppose 2*x + 3*x + 3 = -2*z, 5*z - 5*x = 45. Give z*b(r) + v(r).\nAnswer: 2*r**3 - 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 38782 times 2.678\nAnswer: 103858.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-10 - -7 - 8) - (-9 - 55)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 255*j + 127*j + 129*j)*(0*j - j + 3*j).\nAnswer: 2*j**2 + 26*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 7*o**2 - o - 1. What is the units digit of a(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.09, -0.077, -0.5?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 = -2*d - 2, -2*d - 9 = -z. What is the units digit of -4 - -1*(4 - d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b = -3*a + 24, -2*a + 5*b = 19. Suppose -5*n = -a*m + 26, n - 4*n = -3*m + 36. Calculate the remainder when m is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-18)*3*-626. Let g = -27 + d. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307*v + 21 = 310*v. Let s be 19\/7 + (-2)\/(-7). What is the first derivative of 18*z**s - 1890*z**2 + 1890*z**2 - v wrt z?\nAnswer: 54*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2807 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 9*u - 100 = 28*u. Let z(g) = 11*g + 112. Calculate z(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 12*s**2 + 5*s + 6. Does 10 divide g(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13651 and 9050239?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/994 and 11\/14?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4, -2*g - g = r - 3. Let u = 2325.3 - 2325. Let h = 11 + -8. Which is the closest to h? (a) r (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 1:23 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10 - (22215\/(-800) + 28).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -9. Let m(d) = 8*d + 29. Let q(p) = 17*p + 56. Let k(h) = -7*m(h) + 3*q(h). Let i be k(-7). Solve i = -2*a + 3*a - o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -20. Let w(y) = 16 + 20 - y**2 + 11 + y + 0*y**2. What is the remainder when w(0) is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7*t - 144. Give y(-22).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -25*y + 189. Let p be t(6). Suppose -6 = -2*z + 2*k, -5*z - 3*k + 15 = k. Calculate the highest common divisor of p and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20361 is divided by 12087.\nAnswer: 8274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (14 - 2))\/(-11*(-12)\/9108)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 - -102011102?\nAnswer: 102010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*o + 32*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = r - 20. Suppose -3*k - 1594 - 134 = 0. Let t be k\/126 + 8\/14. Put t, r, -5 in increasing order.\nAnswer: -5, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (0 + -2)) + -7. Let n(k) = k**3 + 6*k**2 - 10*k - 16. Give n(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-3))\/((-38)\/19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c. Let r be -5 + (4 - (0 - -2)). Let i be u(r). Let x = i - 2. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10714480 and 207936.\nAnswer: 385721280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 32 + 0 = 0. Let x(n) = 2*n**3 - 5*n**2 - 2*n - 3. What is the remainder when x(4) is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1385*k**3 - 8*k**2 - 1417*k + 10. Let f(b) = 693*b**3 + 5*b**2 + 705*b - 6. Let c(q) = 5*f(q) + 3*r(q). Find the second derivative of c(v) wrt v.\nAnswer: -4140*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 - 9 - (-3 - -1). Suppose -t + 20 = f*t - 3*d, 0 = d. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.175 - -57.475. Is d greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-10))\/((-3)\/100). Let g(n) = -2*n**2 + n - 2. Let b be g(-3). Let r = b + k. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(((-63)\/15)\/7)\/(402\/(-1675))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-212)\/5 + (-30)\/50. Let c = 666 + r. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 91 = -3*j, -2*g + 1121*j = 1117*j - 58. Let l(v) = 0 + 0 + 9*v**2. What is the lowest common multiple of l(1) and g?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(24)\/sqrt(4))\/(sqrt(162) - 1*sqrt(162) - sqrt(162)).\nAnswer: -4*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0315 - -0.1215. What is the third biggest value in -3, h, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 35. Let t = -1736920.999884 + 1736909. Let k = t + h. What is k rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61175770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 12*y**2 + 16*y + 61. What is w(-15)?\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -201\/5 + 40. Is a greater than 6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eneeeeeeennneene. Give prob of sequence nn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5 + 14*y**4 + 12*y**3 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - (2 - 1) - (10 + -8). Factor 0 + 1\/2*u - 7\/4*u**4 + 7\/4*u**z - 1\/2*u**3.\nAnswer: -u*(u - 1)*(u + 1)*(7*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 0 + 1\/4*q**4 + 5\/6*q**3 - 4*q + 9\/2*q**2. Is n(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 - (-44 + 67)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9862.0661 rounded to the nearest one hundred?\nAnswer: -9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p**2 - 2*p + 1. Let l(u) = 9*u**2 + 3*u - 1. Calculate -5*l(c) - 8*y(c).\nAnswer: 3*c**2 + c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-3)*2*(-1)\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000425191543 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24.729872162 + -877807.270507838. Let j = w + 877840. Let m = j - 8. What is m rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 1. Let y(b) = b - 7. Let j be y(6). Let d = -24 + 14. Let l be (4\/5)\/((-4)\/d). Let w(u) = -u - 1. What is j*v(m) + l*w(m)?\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1604 divide 15378786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2653 + 18576\/7. Suppose 4 = 4*x + 4*b, -x - 3*x = 2*b - 6. Factor 4\/7*g**x + z*g + 2\/7 + 1\/7*g**3.\nAnswer: (g + 1)**2*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3761 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -66\/127, -2, -3, 3, 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 - -2011. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*z - 16 - 8, -2*z = -2*i + 12. Suppose 50 = 5*m - 2*s, -i*s - 55 = -5*m - 2*s. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.44 - -20.56. Let b = 395951794.9999983 + -395951774. Let z = k - b. Round z to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 + 0*f**2 - 3*f**2 + (4 - 4 - f)*(5*f + 0*f - 4*f) - 3*f**2 + f**2 - 8*f**2.\nAnswer: -13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*l**5 - 1345*l**4 + 1080*l**3 - l**2 - 36175838*l wrt l?\nAnswer: -360*l**2 - 32280*l + 6480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 185 = -3*o + g, -5*o + 3*g + 210 = 0. Suppose -5*s + o = -0*s. Suppose -6 = s*y - 12*y. What is the nearest to -1 in -3, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -272737*c**2 - 2*c - 63089 wrt c?\nAnswer: -545474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(297\/(-414)) - 18\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 25 and -188794120.\nAnswer: -188794095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3753412*v - 62152 = -3753869*v for v.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 10 = a. Suppose l - 4*i = 11 - 38, -3*l - 115 = a*i. Let u = -28 - l. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -5. Let f = 2 - 6. Let v = -8 - f. Which is the nearest to 0.2? (a) p (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92)\/(-160) - (22\/10 + -2)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 3*t**2 + 3*t - 1. Let i be o(2). Suppose 3*x - 2 - 7 = 0. Let u be x\/(((-3)\/2)\/i). Let c(l) = l + 1. Determine c(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 114 = 62. Let g(m) = 3*m - 18. Determine g(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89*b**3*w**5 - 5*b**3 + 85*b**2 - b*w**2 - 2*w**5 wrt w?\nAnswer: 5340*b**3*w**2 - 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqcxcucqxxqxxjcjq. What is prob of picking 2 j?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -459115*-0.4\nAnswer: 183646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2038374 is divided by 508874.\nAnswer: 2878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1083*p + 1087*p + 1240 = 0. Suppose 0 = -4*f + 3*t - 9, -4*f - 4*t - 16 = -0*f. List the prime factors of p*(-15)\/(-25)*2\/f.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-48)\/32)\/((18\/(-148))\/3). Differentiate 5193*u**4 + 4 - 5265*u**4 + j wrt u.\nAnswer: -288*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 16 = -17*p. Let n be 1 + (p\/(-2) - 0). Suppose -2*u - 304 = -5*x, 5*u = n*x + 4*u - 121. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 29 + 13. Calculate the common denominator of -11\/3 and (-16 + 9)\/((-4)\/v).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 4*p, 15*p = -3*q + 11*p - 72 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5353 plus -0.4?\nAnswer: -2.9353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*k - 13 - 0. Let z(i) = -1 + 8*i + 3*i + 0. What is the remainder when 37 is divided by z(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2618 = 523*m - 404*m for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 765 = -3*w, -4*g - g = -3*w + 1899. Let a = 394 + g. Calculate the smallest common multiple of 14 and a.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24434366*o**2 - 59665*o - 247 wrt o?\nAnswer: -48868732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -b - 1260. Calculate the greatest common divisor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4326927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -36.3. Let b = -2.3 + a. Which is greater: b or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfbefsexfzfe. Give prob of sequence sf.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22)\/(-8) + 1\/4. Let p(i) = 3*i**3 + 5. Let w(g) = 2*g**3 + 4. What is d*p(z) - 4*w(z)?\nAnswer: z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29 + -6?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -105, -132?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12726 (base 8) in base 12?\nAnswer: 329a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12790, 12729, 12612, 12439, 12210, 11925?\n\"Answer: -28*z**2 + 23*z + 12795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 301694 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 4*o**2 + 5*o + 5. Let c be k(-5). Suppose 6*v - 6 = 4*v. Find the second derivative of -c*r + r**3 + 2*r - 2*r**v + r wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + -4 - (-119 - -102)) + (14 - -1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**9\/60480 - z**6\/360 - z**5\/30 - 3*z**2. Let o(l) be the third derivative of p(l). What is the derivative of o(j) wrt j?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 806 - 806.000003705. Round z to seven decimal places.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**1*j)**21\/(((j*j**(-2\/23)\/j)\/j)\/(j\/(j\/j**9*j*j))) assuming j is positive.\nAnswer: j**(669\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 3*v - 1. Give a(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 14. Let l be m(-11). Suppose 4*a = -n + 10, -l*n - 12 = -a - a. Factor 3*r**a - 3*r**4 + 6*r + 5 - 18*r - 5 + 12*r**2.\nAnswer: -3*r*(r - 2)*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5858018 minutes in microseconds?\nAnswer: 35148108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3\/9 - 29224*i**2\/3 + 1808044*i\/3 - 84014464\/9.\nAnswer: 4*(i - 21856)*(i - 31)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 242*q. Let i(n) = -n**2. Determine i(v(h)).\nAnswer: -h**4 + 484*h**3 - 58564*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 11*a**2 + a + 15. Let s be 11\/33*17*3 - 5. Let r(c) = -c**3 + 10*c**2 + 25*c - 23. Let k be r(s). What is w(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*y + 7503 = 0, y - 4*y + 15000 = 2*m. Let q be -5 + (-1)\/((-1498)\/m). Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_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: Suppose 0 = -249*k + 268*k - 190. Suppose -2*s = 3*h - 0*h - 6, -5*h = 2*s - 14. What is the remainder when (-2 - -11)\/s*-6 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (3 + 4 + (3 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6151*s + 6163*s + 6161*s - 24641*s + 6165*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 35*b**4\/4 - b**3\/3 - 6*b**2 + 58*b. What is the second derivative of z(i) wrt i?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o - 4. Let i(x) = 9*x + 12. Let m(q) = -17*a(q) - 6*i(q). Let k(u) = 3*u + 5. Let r be k(-4). List the prime factors of m(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*(1*(sqrt(242) - (sqrt(242)*-1 + sqrt(242))) + 3))**2*6.\nAnswer: 1584*sqrt(2) + 6024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 163, 659, 1499, 2695, 4259, 6203, 8539?\n\"Answer: 2*k**3 + 160*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 5*m**2 + 14*m**3 - 6*m**2 - 3*m**3 - 2*m**2 + 2 in the form r*m**2 + f*m + u*m**3 + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2 - 2)*(h - 1005*h**2 - h + 385*h**2).\nAnswer: 620*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 5*f - 30 = -10*y, -34084*y = -34087*y - 3*f + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -56*g**2. Let w(i) = -1717*i. Determine l(w(j)).\nAnswer: -165092984*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**3 - 8*a**3 + 8*a**3)*(-a + 3*a - 4*a - 5*a + 2*a + 2*a + (-4*a + 2*a + a)*(1 + 2 - 5) + 1 - 1 + 2*a - a - a + 4*a).\nAnswer: 21*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1819827224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62789, 5\/6, -0.05, -1\/5 in decreasing order.\nAnswer: 62789, 5\/6, -0.05, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, o: 10}. Give prob of picking 4 j.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-26 - -16) + 103590\/5?\nAnswer: 2, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/56013 and 41\/774?\nAnswer: 14451354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137 greater than or equal to 1136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.4 - 19. Which is bigger: g or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 284, -2\/3 in descending order.\nAnswer: 284, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25375*d - 5607 wrt d?\nAnswer: 25375","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1007 and 2131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 8:17 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 3\/((-9)\/3). Suppose 48 = 5*d - 3*z - 78, -114 = -5*d - q*z. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**2 - b - 254. Let r be p(0). Let z = -44 - r. Is 46 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18120749, 18120787, 18120827, 18120869, 18120913, 18120959, 18121007?\n\"Answer: n**2 + 35*n + 18120713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 21994506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2, -861\/5, 0, -4\/9, 5\/7, -1\/3?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**4 - 2*q**4 + 6*q**4 + (-2*q + 3*q - 4*q)*(-4*q**2 + 4*q**2 + 2*q**3) + q**4 + 2*q**4 - 5*q**4 to y*q + p*q**2 + k*q**3 + f + i*q**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqwq when four letters picked without replacement from {w: 11, c: 1, q: 5}.\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d**3 - 5*d**2 + 4*d - 5. Let f(x) = -18*x**3 - 14*x**2 + 12*x - 14. Determine -5*f(s) + 14*t(s).\nAnswer: 6*s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 110 (c) 0.013 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/13 (b) -0.74 (c) -41\/16 (d) -3\/5 (e) -2\/11 (f) 0 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n + 25. Let l be q(0). Suppose 14*h - l = 17. Calculate the remainder when 193 is divided by (-1)\/(h + 888\/(-294)).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*l - 64 = 0, 3*g - 5*l = 4*g - 23. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 0*q + 0*q**5 + 4*q**2 + 0 + 1\/84*q**8 + 0*q**6 + 0*q**3 + 5\/12*q**4 + 0*q**7. Find the second derivative of v(b) wrt b.\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 465461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -23038319?\nAnswer: 23038314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/17)\/w)\/(w*(((w\/(w\/(w*w**(2\/29)*w)*w))\/w)\/w)\/w*w) assuming w is positive.\nAnswer: w**(-92\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*v + 62 - 269, 0 = b - 2*v + 107. Suppose 5*d + 3*s - 2960 = -s, 0 = -4*s. What is the units digit of d\/5 - 63\/b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-4704))\/(41\/(-82)).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**4\/2 + 103205*a**3 + 7428816*a**2 + 133707024*a = 0?\nAnswer: -206338, -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146*i**2 + 452*i wrt i.\nAnswer: -292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 395*x**2 - 9*x - 3. Calculate the remainder when g(-1) is divided by 134.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 2*-4) + -2. Suppose -28*c = 87 - 171. What is the highest common divisor of x and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 12*w**2 + 11*w - 22. Let r be k(-13). Solve 4*t + 5*y = 5*t - 2, 0 = 2*t + r*y + 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 + 47178 - 47178.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25)\/2*24\/(-5). Let p = -31 + z. Let r = p - 117\/4. What is the third biggest value in r, -0.2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13597 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lblllrrllrrrrr. Give prob of sequence lbrl.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**3*i + 108*d**3 - 63*d + 35579*i**2 wrt i.\nAnswer: -2*d**3 + 71158*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385193 a multiple of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -20, -109*w + 106*w + 1 = 2*d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -45*q. Let p(i) = i. Calculate 180*p(c) + 5*r(c).\nAnswer: -45*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 28*z**2 - 579*z - 24903. Calculate u(42).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 2*t**5\/15 + t**4\/3 - 64*t**3\/9 + 10*t**2 + 42*t + 116. Factor l(i).\nAnswer: 2*(i - 3)**2*(i + 1)*(i + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16630655?\nAnswer: 5, 139, 23929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 2*g - 6*g)*(-6*g + 1 + 11*g + 4*g) - g + g + g**2.\nAnswer: -44*g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -49 + 7. Suppose 4 - 1 = n, -c = -b + 3*n. Is (b\/(-12))\/(5\/(-100)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1964)\/(-8) + (2 - -6). Let p = m - 643\/3. Are p and 39 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29955, 59885, 89825, 119775, 149735, 179705?\n\"Answer: 5*u**2 + 29915*u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-1 + 0) - -1. Let f(k) = -k - 2. Let c be f(-2). Let w be 1*(-10)\/(-2 - c). What is the nearest to h in -4, 3\/4, w?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 0, 114, 0.04, 1\/5, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 times 2172.3?\nAnswer: 97753.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2274 is divided by 1099?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**5\/20 + 5*w**4\/6 + 5*w**2\/2 - 3*w. Let c be o(10). Suppose -4*j + 0*r + 2*r + 48 = 0, -c*r = 0. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113760 + 0.06474\nAnswer: 113760.06474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1. Let v(a) = 4*a - 1. Let m(z) = -2*r(z) + v(z). Let o be m(2). Suppose 0 = s - 10 - o. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - 3. Let n be t(4). Suppose 0 = -n*u + 2*l - 7, -4*l = 3*u - 2*l + 1. Put 4, u, -3, 3 in decreasing order.\nAnswer: 4, 3, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556563066.\nAnswer: 2, 3, 92760511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 49 - -22?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2. Let u(f) = 6*f - 155. Let n be u(28). Let j(z) = -3147*z - n*z**2 + 3147*z. What is o(j(g))?\nAnswer: 338*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 154589271 divided by -1\nAnswer: -154589271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4da - 1?\nAnswer: 4d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -42, -47, -54, -63, -74?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318340964.\nAnswer: 2, 47, 1693303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -3. Let y be (-2)\/(-3) - (-118)\/n. Suppose 5*b = -5, y = 4*w - 5*b - 113. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-3 - -2) + 99 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.92927 meters in centimeters?\nAnswer: 3092.927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -11 - (-2 - -6) - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 382*o + 1. Let u(h) = 755*h + 2. Calculate 5*j(i) - 2*u(i).\nAnswer: 400*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 59626304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -332 - -536. Calculate the remainder when 78 is divided by (-4)\/6 - 9\/((-81)\/x).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a - 30*a + 4*a**3 + 12*a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -833, -6767, -22865, -54209, -105881?\nAnswer: -182963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 8*n**2 - 8*n - 5. Let w be d(-7). Let o(t) = 2*t + 2. Let r be o(w). Is (-12)\/(-8)*104\/r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 - -8)\/((-3)\/69). Suppose -26*x = -j*x + 9. Sort x, -7, 2 in increasing order.\nAnswer: -7, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9)*-2*9\/(-75)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -5*t**3\/6 - t**2 - t. Let x be v(-4). Suppose -5*n + 7 = -x. Solve n*u - 14 = 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7736586?\nAnswer: 2, 3, 11, 13, 71, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 3*h = -2*q - 58, 4*h = -q + 73. Suppose 0 = 16*o - h*o + 2. Suppose -3*y + 760 = 5*w + o*y, 5*y = 2*w - 304. Is w a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000762103 rounded to seven decimal places?\nAnswer: -0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -969, -968, -965, -960, -953?\nAnswer: -944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*x + 71*x**2 - 81*x**2 + 100*x + 77*x**2.\nAnswer: 67*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 800 + 2455*f - 2494*f.\nAnswer: -39*f - 827","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -213*b + 461*b + 1240 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(7\/2)*s*s**17)\/(s**(-10\/9)\/(s*s**(-29))) assuming s is positive.\nAnswer: s**(-97\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 400026 - 400026 - 4*c**2. Let j(q) = -587*q**2 - 1. Give j(x(t)).\nAnswer: -9392*t**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 19. Let s be 135\/(-10)*2\/k. Sort s, 0, 3.\nAnswer: 0, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2475)\/18)\/(-16 - (-1813)\/147)\nAnswer: 75\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 3. Let v be i(0). Suppose -v*g = -826 + 106. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71329, -142661, -213995, -285331, -356669, -428009?\nAnswer: -499351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-5)\/((-10)\/12))\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -1669*t**5\/20 + t**4\/6 + 3*t**2\/2 - t - 807. What is the derivative of y(m) wrt m?\nAnswer: -5007*m**2 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*u + 225722509*d + 16316613*u with respect to u.\nAnswer: 2*d + 16316613","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 - 30*g**2 + 28*g - 43. Calculate n(14).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20316731 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 12, -5*b = -5*m + 11 - 1. Let v = 1 + 3. Let j = v - b. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -84, -1\/4, 0.2, 4, -9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 43*k + 155. What is a(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1117 + 70573?\nAnswer: 71701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 199328579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten sevenths of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -161*z**3 - 29187*z - 1 + 29187*z as n*z + t*z**3 + y*z**2 + x and give t.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 take away -116?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 269 + -264. Put s, 1\/3, 7, -4 in decreasing order.\nAnswer: 7, s, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -0.5, 24 in ascending order.\nAnswer: -1, -0.5, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.068634 * 5.\nAnswer: -0.34317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 - (22 + -7 - 9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34*c**2 + 3*c*t**3 - 6*c*t + 2*c + 12658*t**3 wrt c?\nAnswer: -68*c + 3*t**3 - 6*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2788, 2756, 2724, 2692, 2660?\nAnswer: 2628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81645541*f**2 - 3 - 67*f**3 + 25*f**3 + 81645541*f**2 + 3.\nAnswer: -42*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3692785nm in meters?\nAnswer: 0.0000000003692785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123836 is divided by 3175.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/3691935 and 22\/57019885.\nAnswer: 513178965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -68128.1161 to the nearest ten.\nAnswer: -68130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 2:30 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/8*65*-1)\/(2882\/23056)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -95508\/47? (a) -3 (b) 4 (c) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*g = 3081, 7*f - 6*f = 3*g + 624. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s**3 - s**2 + s - 1. Let m be 2 - (-1 - -4) - -4. Let n = m + -2. What is the units digit of b(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/15 - (-4)\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1625*m + 8165 - 4915 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/d**(-2\/7))\/d)**(-15)*d**(2\/17)*d**(-2) assuming d is positive.\nAnswer: d**(-2519\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 571, 490, 347, 136, -149?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 9*b - 12. Suppose 2*g - g - 11 = 0. Does 10 divide a(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 11564*b**3 - 6*b**2. Let m be x(4). What is m rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14a24 (base 11) to base 4\nAnswer: 11023101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006478 rounded to 5 dps?\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 2*l + 3. Let j be u(0). What is the closest to j in -0.1, -1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -218 + 243. Let z = -25.00106 + n. Round z to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, t: 1, r: 3, i: 1, o: 1}. What is prob of picking 1 t and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/7 (b) -1\/3 (c) -15 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1032*h*i**2 - 2*h*i - 14*h - 120311*i**2 wrt h?\nAnswer: 1032*i**2 - 2*i - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114126 - 72888. What is the ten thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571817.\nAnswer: 53, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -58 (b) 0.1 (c) -179\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 - -1 - -36)\/(0 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530712?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, -8, 14 in decreasing order.\nAnswer: 14, -8, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26652.82cm to millimeters.\nAnswer: 266528.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -192 greater than -190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3180\/36*-20*-3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156 divided by 729?\nAnswer: 1156\/729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11033061?\nAnswer: 3, 13, 79, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 - 73.15. Let m = 1 + -0.95. Let j = q + m. Which is bigger: j or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -5, -2\/11, -2.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 177 + 203. Let y = -51 - g. Suppose 0*k + k = 100. Calculate the greatest common factor of y and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 8634 - 8632. Factor -4\/7*z**o - 4\/7 - 8\/7*z.\nAnswer: -4*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -101440 - -17?\nAnswer: -101421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 51545*d**3*p - 4670*d**3 - 4*d wrt p.\nAnswer: 51545*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39.8 + 1.2. Which is the second smallest value? (a) 2\/3 (b) -0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 376, 3, 0.07, 21?\nAnswer: 376","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6204555 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/10*4)\/((-92)\/(-49680)*72)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2144*m + 76 - 121 + 2143*m + 319*m**2.\nAnswer: 319*m**2 - m - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -4*(0 + sqrt(7) + sqrt(7)) + sqrt(448)*1 + sqrt(7))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2760*z. Let u(n) = -17938*n**2. Calculate p(u(c)).\nAnswer: -49508880*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -18*s - 4. Suppose 0 = -2*m - 2*f - 6, -4*m = -3*f + 25 - 6. Give o(m).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2762647.2s in hours?\nAnswer: 767.402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -1860*i + 2193*i**2 - 669*i**3 + 1692\/5 - 12\/5*i**4 = 0.\nAnswer: -282, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.01 (b) -3\/5 (c) 3 (d) -1.1 (e) -1 (f) -1111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -211 - 3014?\nAnswer: -3225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -1)*(2 - 3). Suppose -5*p = -0*p - 20. Differentiate 2*s**p - 2*s**m + 4 + 2*s**2 - 5 with respect to s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 + 0 - ((-80)\/8 - -3). Solve -7 = -3*v + k, a = -k + 5*k - 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 33 = 4*y, 3*u + 520*y = 521*y + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1. Let c = -17846\/279 - -1976\/31. What is the closest to -4 in a, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)*3 - (-3 + sqrt(44) + sqrt(11)))*-6*-5)**2.\nAnswer: 48600*sqrt(11) + 810000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**2 + 279. Let u(r) = -16*r. Give z(u(s)).\nAnswer: -768*s**2 + 279","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n**3 + 11*n**2 + 11*n. Let t(s) = -4*s**3 - 6*s**2 - 6*s + 1. Calculate -11*t(r) - 6*v(r).\nAnswer: 2*r**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 0.104.\nAnswer: 3.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-4 - (-3 - 12) - 14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/53, -2\/3, 0, 2\/13?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**5*u**2 - 22*s**3*u**3 - 204*s*u**3 - 2*s wrt s?\nAnswer: -20*s**3*u**2 - 132*s*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z - 4*z - 6*z to x + o*z and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 3 = -13*j. Let a(o) = 3*o + 3. Let g(w) = -w**2 + w + 1. Give j*a(d) + g(d).\nAnswer: -d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106436*y - 18 = -106439*y. Let n(x) = -2*x**2 + 13*x - 1. Determine n(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 - 26055004?\nAnswer: -26054652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = -l - 2*a - 6, -3*l + 5*a = 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 40*d**2 - d + 1. Let i be o(1). Suppose -24 = m - i. Calculate the remainder when m is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8*(-36)\/(-9396)*-36.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 3, 4.\nAnswer: 2, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232, -1661, -3990, -7219, -11348?\nAnswer: -16377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3011 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*p = 4*p + 1679 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 0 - 3 + 1700000*n + 3. Let z be q(-3). Round z to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118*q**4 + 713 - 2*q**3 + q + 154*q**4 - 1270*q**2 - 715 + 139*q**4 wrt q?\nAnswer: 4200*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 0 + 285\/295. Let u = 133 - 133. Is x equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydbjbbdydd. What is prob of picking 2 d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, t: 9}. Give prob of sequence at.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4004\/(-132))\/(2431\/(-306)).\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -13*u - 341. Let a = 35 + u. Factor a - 1\/3*z - 1\/3*z**2.\nAnswer: -z*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -25*z**2 + 102*z. Let x be o(4). Solve -560 = x*j - 592 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6*i\/((i*i**(-19\/4))\/i))\/(i**(-19\/5)\/i**(1\/32)))**(-24) assuming i is positive.\nAnswer: i**(-7479\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -7. Let h(i) = 4*i + 5. Let j(s) = s + 1. Let g(r) = h(r) - j(r). Calculate g(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**5\/5 + v**4\/6 - v**3\/3 + 10*v. Determine i(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21 - (-2 - -4)\/(-2). Suppose h = -4*u + 6*u. Calculate the remainder when 43 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 8:43 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 2*g**7\/315 + g**6\/240 - g**5\/40 - g**4\/3 - 10*g. Let h(p) be the third derivative of q(p). Is h(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**4\/12 + 33*d**2\/2 - 27*d - 39. Let p(s) be the first derivative of x(s). What is p(0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 9 = -0*l. Let x(w) = 4*w + 7. Let o(g) = -3*g - 6. Let c(i) = l*o(i) - 2*x(i). What is the derivative of c(p) wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*20\/(-10)*15\/(-10)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2597464, 5194929, 7792394, 10389859?\n\"Answer: 2597465*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -52.7. Let m = -275 - -3023\/11. Let n = -2.94 - 0.06. Which is the closest to m? (a) h (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**11\/(u**(-4\/9)*u\/(u*u**3)) assuming u is positive.\nAnswer: u**(130\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kknknktu. What is prob of picking 1 n, 1 k, and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a factor of 3551081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) 4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 258 (b) -16 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a\/a**(-3)))**(-4)*a**(-1)\/(a**(-11)*a) assuming a is positive.\nAnswer: a**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 4*b + 2*b + 3*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, and 1 n when three letters picked without replacement from {t: 1, i: 1, o: 1, n: 2, z: 1, g: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. Which is the smallest value? (a) 1 (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.059*-4669818\nAnswer: -275519.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 68\/11 + (-62)\/341. Suppose 4*j - 4*x = 132820, 0 = 2*j - 0*j + x - 66401. Suppose 5*r + b = 1, -2*c - j = 2*r. Round c to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*h + 14000 + 24743. What are the prime factors of h?\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = -5*n + 420 - 202 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -3700824?\nAnswer: 3700824.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*n**2 + 1 + 12*n**2 - 4 to p*n**2 + k*n + i and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 663516, -129 in decreasing order.\nAnswer: 663516, 1, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 31, -2\/31 in ascending order.\nAnswer: -2\/31, 0.1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 15*l**2 + 36*l + 875. Determine p(-14).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83396 and 472?\nAnswer: 9840728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 - 38*m - 31. Let b(t) = -t**2 + 13*t + 10. Let j(r) = -11*b(r) - 4*k(r). What is the units digit of j(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 14) to base 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5911 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgfh when four letters picked without replacement from ffhhfhhhffhhhhghh?\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2*t = 7*m + 4, -5*m + 2*t = 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - 10. Let q = 15.4 + u. Let r = -6.6 - q. Which is the third smallest value? (a) 2\/7 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26\/29? (a) 3 (b) -1\/10 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or 311?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and 51026.\nAnswer: -6123.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 134046 divided by -6\nAnswer: -22341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 221299502 to the power of 1\/3, to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 34270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p - 258 = 74*p - 12*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23049, -22937, -22747, -22479, -22133?\nAnswer: -21709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 50 = -10. Suppose -w*i + 977 = -1453. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 y, and 1 s when four letters picked without replacement from {c: 4, o: 2, y: 1, s: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16220 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 387676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 143*j - 145*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*m = -794, 2 = -2*m + 4. Suppose 0 = -4*h - 2*j + 20, h + 276*j - 272*j + 2 = 0. Calculate the remainder when n is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5391.285 rounded to the nearest integer?\nAnswer: -5391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1706012 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 120111, 120123, 120141, 120165, 120195, 120231?\n\"Answer: 3*r**2 + 3*r + 120105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.4 or -220?\nAnswer: -220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**5 - 18*l**4 - 2*l**3 + 36*l**2 + l - 18 = 0.\nAnswer: -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.9688 - -5.9720557. What is p rounded to four dps?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + sqrt(20)\/sqrt(250) + sqrt(128)*1 + sqrt(128)))**2.\nAnswer: 3240*sqrt(2) + 13522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(567\/(-1254)) - 16\/168. What is the remainder when 75 is divided by d*(-3)\/24*-9*-2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 9:15 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqxvmmaqaxmmtmxtax. What is prob of picking 2 m?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 4. Let k be s(5). Put -2, k, 4, 10 in descending order.\nAnswer: 10, 4, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 36 = -x + 5*n, -x - n + 56 = 0. Let k = -9 + x. Suppose k = -0*s + 3*s. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-15))\/((8316\/220)\/(-63)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 33. Let t be l(11). Suppose 0 = 7*q - 127 + t. Solve 0*m + q = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129 - -57. Let o = k + 71.996. What is o rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/8)*g*g*g)\/(g*g\/(g*g**(-6\/19)))*(g*g**(1\/14))\/(g**(-2\/3)*g*g) assuming g is positive.\nAnswer: g**(4939\/3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55952 + -55951.9971831. What is g rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 2*p - 2. Let a = -3 - -5. Let s be u(a). Suppose 0*k = -4*t - 2*k + s, -3*k = -t + 12. Solve -3*j = h - 2*h, 0 = -t*j - 2*h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = 0, 34*u - 4*b = 29*u + 7. Factor 1\/3*d**5 + 3*d**u - 4\/3*d**2 - 2*d**4 + 0 + 0*d.\nAnswer: d**2*(d - 4)*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1836 - 955. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -8 + (-1)\/2*6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 divided by 4.\nAnswer: -87\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3150, 3802, 4888, 6408, 8362, 10750, 13572?\nAnswer: 16828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**5\/28 - c**4\/56 + 75*c**2\/2 + 19*c. Let o(f) be the first derivative of d(f). Find b such that o(b) = 0.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 188 and 8?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 1, -12, -45, -104, -195?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5225 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**5 - 3740*x**4 + 623025*x**3 + 1264700*x**2 - 623020*x - 1260960 = 0.\nAnswer: -888, -2, -1, 1, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.5. Let x = j + 0. Suppose -54 - 21 = 15*d. Which is the second biggest value? (a) d (b) 3\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a**2 + 3*a - 2. Is 4 a factor of n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -147, 82951, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwlkwkxwp. Give prob of sequence xpwk.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -427 in -3, 33, 0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*u + 4*g, u + 4*g = -u + 4. Suppose 34*h + 3*h - 185 = 0. Suppose 0 = -2*o + 4*o + 2*f - 316, h*f - 10 = u. What are the prime factors of o?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/2*(-6)\/3*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/46)\/((-6)\/8). Let u = 332 - 333. Does u = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = o - g - 3, o + 6 = -2*g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -779221, -779216, -779207, -779194, -779177?\n\"Answer: 2*o**2 - o - 779222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*l - 182164 = 98960. Does 61 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1263 + -832. Is 36 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 881.109 nanograms in grams?\nAnswer: 0.000000881109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 236, 467, 688, 893, 1076, 1231, 1352?\n\"Answer: -z**3 + z**2 + 235*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 116 - 122 + 112*n**2 - 2*n - 3*n - 40*n**2. What is the tens digit of y(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(130\/(-13) + 9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**3 - 18*l**3 - 3*l**3 - 7*l**3.\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -321\/1555 + 2\/311. What is the second smallest value in m, -1\/7, 0.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c**2 + 52*c - 15. Let z be t(10). Suppose z*w - 62139 = -16*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 989156.4 years to centuries.\nAnswer: 9891.564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(24) + sqrt(24)*1*-1)\/sqrt(3))\/((sqrt(6912)*2)\/((sqrt(108) - sqrt(108)*-1)\/sqrt(9))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**3*x**2 - 1095348594*u**3*x - 756946426*x**3 wrt x.\nAnswer: -4*u**3 - 4541678556*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21668, -21666, -21664, -21662, -21660, -21658?\nAnswer: -21656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((8 + (-3 - 0))\/(-1))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17639969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1003 + 1003.000002418. What is g rounded to 7 decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -9. Let n be (-3)\/(-165) - m\/22. Sort n, 2\/3, 1.\nAnswer: n, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - b - 1. Let y(z) = 16*z**2 + 2*z + 2. Calculate -2*c(d) - y(d).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088 divided by 921?\nAnswer: 1088\/921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - -4)*(-11 - -9). Does 45 divide 28593\/36 - (-4)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o - 77. Let l be n(-16). Differentiate -33*w**l - 71*w**3 - 167 - 3*w + 3*w wrt w.\nAnswer: -312*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*f + 18 = 0. Let o = -150 - -148. Let i(d) be the first derivative of -3*d**2\/2 + 5*d + 24. Let g(c) = c - 1. Give f*g(p) + o*i(p).\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -7. Let q(w) be the third derivative of -1\/6*w**4 - 1\/120*w**6 + 0*w**3 + 0 - 1\/12*w**5 + 0*w + 5*w**2. Determine q(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*f + 37*f = -1837 - 3858 for f.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8078*p**2 + 15 - 5 - 5 - 4.\nAnswer: -8078*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/25*-1)\/((-3)\/15). Let p = -8 - -13. Suppose 0*j - j = p. Sort n, j, 5 in descending order.\nAnswer: 5, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -28 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 19*g**2 - 34*g + 3. Let r be b(-17). What is a in 140*a - 2*a**r + 1082*a**2 - 1167*a**2 - 60 + 17*a**3 = 0?\nAnswer: 2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210230013 (base 4) to base 10.\nAnswer: 412423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - 7*t**2 + 3*t**2)*(163*t**3 + 932*t**3 - 2601*t**3 - 1935*t**3).\nAnswer: 20646*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23\/4 - (-40 - -41). Which is the closest to 2? (a) 4\/7 (b) 5 (c) w (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4.2 (b) 0.5 (c) -0.03 (d) -144\/13 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 2*o**2 - 5*o + 4. Let z = 5 - -3. Suppose -2*p = -i - z, -2*p - 3*i + 0*i = -8. List the prime factors of t(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11461354534 - 2?\nAnswer: -11461354536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*(-288)\/(-48).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 11. Suppose 5*k - 12 = x*i, 0*i - k = -2*i. Sort 1, i, 3.\nAnswer: 1, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 10*v + 35 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 61 = 4*d, -5*d + 0*x + 25 = -4*x. Suppose -d*k - 8 = 10. Let l(f) = 3*f**2 + 2*f - 2. Let o(t) = 2*t**2 + 3*t - 3. Determine k*o(s) + 3*l(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107551904?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/6)\/((-7)\/(-21)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3999 + 4008. Let g(n) = n**2 + 7*n + 7. Let f be g(-5). Sort 0, f, i in increasing order.\nAnswer: f, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 5:03 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*(z\/z**(-1\/2))\/z*z)*z**(2\/3)*z**7*z**(2\/5))**(6\/23) assuming z is positive.\nAnswer: z**(227\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 638 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17138352*u**3 - 32491094.\nAnswer: 51415056*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6 + 12*s - s - 3 + 3 + (-1 - 3 + 3)*(-2*s + 2*s + s) in the form b + o*s and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 z when three letters picked without replacement from zlmqqzzz?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11794 + -11557. What is the remainder when h is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -697, -1390, -2093, -2812, -3553?\n\"Answer: -r**3 + r**2 - 689*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/(-5) - (-15)\/25. Suppose -6*j = -11 - t. Solve 0 = -j*s - 8 - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11763680563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -544218 divided by -3\nAnswer: 181406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b**3 - 3*b - 18. Let z be h(-2). Calculate the greatest common factor of z and 1308.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123, -2, 434 in decreasing order.\nAnswer: 434, 123, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 461646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -14*x + 504. Give u(35).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hooh when four letters picked without replacement from {o: 2, c: 4, h: 4, l: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 + 86. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5875 and 1375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 2a9621cc?\nAnswer: -2a9621cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 10\/3 - (-8)\/(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2945 and 1240.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/11)\/((45\/60)\/((-84)\/(-320))).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -48. Suppose 3*d - s*d + 9 = 0. Put -5, 1, d in increasing order.\nAnswer: -5, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 not equal to 43388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 51 - 97)*(-12*b + 12*b - 6*b**4).\nAnswer: 90*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**5\/4 + 73*r**4\/8 - 129*r**3\/8 = 0.\nAnswer: 0, 3, 43\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (2 - 5)) + 1 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 287742 and 1820.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -78, -0.02, 2\/9, -11, 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 1:07 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in 1304, 1\/8, -0.2, -32?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + -5. Let p = s - -51. Calculate the highest common divisor of p and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 41*j**2 + 171*j + 9. What is p(-4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 281 and 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 35. Let z be o(0). Suppose 2*x + 8 = 5*y - z, -4*x = 2*y - 22. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50.54755511 - 4.\nAnswer: -54.54755511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(-1 - 67\/(-65)) and (2\/5)\/(16\/235).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g*h + 1285*g - 9*h wrt h.\nAnswer: 3*g - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 - 3)*(4250*b + 2199*b - 8922*b) as z + j*b and give j.\nAnswer: -4946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 12 = -2*s + 8*g, 2*s = -g - 12. Which is the third smallest value? (a) -8 (b) s (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11782?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8443.6 + 8444. Let h = -3 - 2. What is the nearest to -0.1 in m, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48 + 10*w + 1\/2*w**2.\nAnswer: (w + 8)*(w + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 9 + (-22 - -14).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2. Let k(g) be the first derivative of 3*g**2\/2 - 25. Give l(k(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 871633*u**2 - 8245*u - 2 wrt u?\nAnswer: 1743266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 194688\/3549 - (1 + (-16)\/14). Put -3, 5, o in descending order.\nAnswer: o, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1851\/3422 + -70\/1711. Factor -3\/2*p**3 + 0*p**4 + r*p**5 + p**2 + 0 + 0*p.\nAnswer: p**2*(p - 1)**2*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 337 and -205.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/10)\/((-2)\/2))\/(246\/2296).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8)\/(-2) + 0 + -7)*-141.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-76)\/(-18) + (-4)\/18. Let c be (-2)\/6 + (-80)\/(-15). Suppose 2*f - 2*y + 6 = 0, 2*y + 3 = -c*f + i*y. Calculate the least common multiple of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*n = 4, -8*n + 6 = -4*v - 5*n. Suppose k + v = 4. Suppose -36 = -4*q - 4*g, -3*q - 29 = -k*q + 3*g. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 1\/38, -1\/7, -5 in decreasing order.\nAnswer: 1\/38, -1\/7, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = -5*d. Which is smaller: 5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*v - 39, -3*a + 5*v - 60 = 2*a. Suppose k + 6 = 3*k. Calculate the smallest common multiple of 200\/72 + (-2)\/a + 0 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658890319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29.083 + -9.74. What is o rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2023.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**3 - 2016*m**2 - 173*m - 174371. Give s(-1008).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**2 - 658. Let h(t) = -2144*t. Determine q(h(r)).\nAnswer: -4288*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -2. Let s be (z + (-10)\/2)*-2. Suppose -s*r - 5 = -37. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 u, and 1 v when three letters picked without replacement from {v: 2, j: 2, d: 1, z: 2, u: 1, h: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 361*p**6 - 120*p**2 + 2?\nAnswer: 43320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020220121111 - -10220?\nAnswer: -1020220110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - h - 182. Suppose 5*m + 32 = h. Suppose 82*x - 58*x = 2112. Calculate the remainder when x is divided by m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 5*n**2 + n - 1. Let p be q(5). Let b be (-4)\/(-78)*3 + 24\/13. Suppose 15 = -p*y - 3*m, b*m + 3*m + 25 = 2*y. Is y bigger than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + -3 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/48*318\/(-53).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38618 is divided by 2203?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1211 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -1) + (-6)\/(-51). Let n = -24489 + 24486. What is the closest to 1 in n, v, -0.3, 3.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42003 (base 6) in base 2?\nAnswer: 1010111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42156.\nAnswer: 2, 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b - b - 3*b. Let m(l) = -724*l + 1. Let j(c) = -2894*c + 2. Let z(t) = -j(t) + 4*m(t). Determine x(z(p)).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43509 is divided by 120?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50.01 + -50. Let x = 0.51 - i. Let w = 36 + -35.7. Sort w, x, 2\/7, -6 in descending order.\nAnswer: x, w, 2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/90 and 53\/3650?\nAnswer: 32850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130714?\nAnswer: 2, 65357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c\/c**(2\/33))\/c))\/c)\/((c*c**(3\/8)*c)\/c)*(c\/((c\/(c\/(c\/c**(-2))))\/c))\/c**(-1\/5))**9 assuming c is positive.\nAnswer: c**(-8373\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 498166 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**2\/7 + 317988*p\/7 + 635960\/7 = 0.\nAnswer: -79495, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 3*z - 8. Suppose -5*t = -0*t + 30. List the prime factors of s(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/4 (b) 0.065 (c) -1\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/4536*12*(-6)\/(-1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 s when three letters picked without replacement from {s: 2, i: 5, c: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*2*sqrt(9) + sqrt(9))\/(sqrt(3) - sqrt(27)*-4 - sqrt(3) - sqrt(3)) + sqrt(768)\/(1*sqrt(64)))**2.\nAnswer: 1323\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0242 + -123.9758. Let u = d - -124.5. What is the fourth biggest value in u, -0.07, 2\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65528 = 1030*b + 24328 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 21*l - 21*l - 5*l**2. Let m(b) = -2*b**2. Give m(c(k)).\nAnswer: -50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-3*(-4)\/(-104)). Suppose 2*y - 4 = 0, 0*y - h = 4*p - 4*y. Do p and -36 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*p = -138*p + 104. Solve p*d + 4*y + 22 = 11*d, -d - 6 = 2*y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 43*c**2 - 25*c + 28. What is the thousands digit of i(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1414 and 23230.\nAnswer: 162610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*y - 2*t - t, 5*t - 25 = 0. Let b = 2 + 7. Suppose -3 - b = -k. Are y and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/690764 and -103\/209494.\nAnswer: 25558268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 67135?\nAnswer: -67132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4\/6 + t**3\/2 + t**2\/6 - t\/2 = 0. What is t?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45 - 1?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t - 34. Suppose 2*f - 11*f = -18. Suppose -4*b = u - t, -112 = -4*u - f*b - 2*b. Calculate the highest common factor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3736411 is divided by 77.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*j + 7 = -4*o, 4*o + 1 = 3*j. Let h be 3\/(-6)*(-16)\/o. Let b(q) = -q + 2. Let z(u) = 3*u - 6. Let s(d) = -7*b(d) - 2*z(d). Determine s(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-14)*1)\/(29 + -31)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.074\nAnswer: -0.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 659 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(980)*-2)\/sqrt(2))\/(3*sqrt(128))*-5.\nAnswer: 35*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35328361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 61 - 12?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*(sqrt(931) + 5 + (sqrt(931)*-1 - sqrt(931))))**2 - (3*((sqrt(19) - (sqrt(19) + 1)*-5) + sqrt(19))**2 - sqrt(114)\/(sqrt(24)\/sqrt(4)*2)).\nAnswer: -1901 - 587*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 444 and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 157*n**3 - 5*n**2 + 34*n - 322. Let z be x(6). What is the greatest common factor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 0.01 (c) 2 (d) 3\/7 (e) -659\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 388*x + 4*x**2 - 246*x + 439*x)*(-2 + 2*x**2 + 2) to l*x**2 + b*x**4 + h + p*x + v*x**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 + -2. Let n = -0.9 + 2.4. Let p = n - 1. Which is the second biggest value? (a) p (b) -1\/8 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/199, -0.4, -3, -5, 0.1, -0.2 in ascending order.\nAnswer: -5, -3, -0.4, -0.2, 2\/199, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from {l: 1, f: 2, h: 1, r: 6, t: 1, x: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 + -1. Let s = -0.6 + -0.4. Let h = s + 0.9. Sort l, h, 0.1 in descending order.\nAnswer: l, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 3*c + t - 5, 5*t + 15 = 0. Let r(a) be the first derivative of 7*a - c*a**2 + 4 - 10 - 2*a. Let n(w) = 7*w - 9. Calculate 3*n(g) + 5*r(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.28 (b) -1 (c) -1\/10 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 6*m**2 + 5*m - 8. Suppose -3*g + 68 = -5*g. Let l = g + 27. Let a be o(l). Solve 3*p + z = -4*z - 6, 3*p - 2*z + a = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 22. Suppose -5*o + 4*a + 320 = 0, o - 44 = 4*a + b. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, e: 2, m: 2, q: 2, s: 2, f: 10}. What is prob of sequence feqq?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-21)*((11 - 7) + -13) + 184\/(-2).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 5*k - 20 = 57, -4*k = -48*d + 63*d - 6*k - 268 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 2:57 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450))**2 + -3 - ((sqrt(8)\/sqrt(4) + -3)**2 + -4).\nAnswer: 6*sqrt(2) + 440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-2) + 55\/70. Let l = -2 + 3. Is p greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106)\/14 - (-3)\/(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/50 and -13\/74.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 730498420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20597 and 1604029?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24 + 2*g + 78 - 33 + (4 + 2 - 3)*(3*g - 2*g + g).\nAnswer: 8*g + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 3. Let z(d) = -1 - 2*d + 2*d + 5*d. Let i be z(1). Put i, t, -5 in decreasing order.\nAnswer: t, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 513\/43292?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, s: 7, w: 2}. What is prob of picking 2 o and 2 w?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 16 = 2*s - 9, -x = -3*s - 5. Let b(q) = 17*q + 446. Let a be b(-26). Suppose t - 8 - 10 = -n, a*n - 75 = -t. Solve s = -4*i + 7 - n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18064676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-2*(51\/27 - 2)). What is the tens digit of -3*4\/(-54) - 9795\/k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4140 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + -8 + (-2296)\/(-196))\/(1\/(-126))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 32552*c - 65214*c + 32662*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10bdef (base 16) in base 11?\nAnswer: -68a384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2954395265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 2*g**3\/3 + g**2 + 1239. Let r(i) = 4*i**2. Give r(s(b)).\nAnswer: 16*b**4 + 32*b**3 + 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188469 is divided by 60.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**3 + 83*t**2 + 26*t + 24. Determine u(28).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-1))\/(-30) - (65816\/(-251940) - (-3)\/39).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564 is divided by 101?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1))**(-33)\/((h\/h**(-3\/8))\/((h**(-1\/12)*h*h)\/h)))\/(h**1\/(h*h*h*h\/h**(-7)*h*h))**(1\/7) assuming h is positive.\nAnswer: h**(-10877\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3483996?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/180 and 137\/96.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 41*x**2 + 39*x - 36. Let m be b(-40). Suppose -m = -t, -s - 5*t = -4*s + 172. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3116*w**2 - 569*w**3 + 1826*w**2 - 1 + 1597*w**2 wrt w.\nAnswer: -3414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 318183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a + 2*a**3 + 1 - 2*a + 2*a + a**2. Let u be f(-1). Let r be (-9)\/(-2) - u\/4. Solve i = -3 + r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22\/23 - -202\/115. Which is the biggest value? (a) -0.4 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1796 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 2. Let g be o(0). Suppose 3*m + g*x = 11, -4*m + 9 = -m + 3*x. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -280 - -304. What is the remainder when 176 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 986437471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2381790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*u = 23, 0 = 2*g + 5*u - 7 - 11. Let p(v) = -v**2 + 5*v - 5. Let r(y) = y - 1. Determine g*p(q) + 5*r(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-6 - -9)*(1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -4*b + 5*l + 25, 2*l + 17 = 3*b. Let a = 238 + -84. Suppose a = 5*c - 71. Solve -5*w - 2*t = 10, b*w = -0*t + 5*t - c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 8*x**2 + 52*x + 506. Calculate g(-6).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9054.\nAnswer: 2, 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001110001110 + -11100110000000?\nAnswer: -10111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 928916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/3882564 and -91\/22010.\nAnswer: 19412820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 5. Let a be x(3). Suppose a*p + 0 = 12. Solve -4 = -s - 2*b, 3*s - 5 = -5*b + p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8\/7 (b) -572 (c) -3\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 1728?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -183*2\/8*4\/(-3). Let i = -47 + v. Suppose 560 = 32*h - 24*h. What is the highest common factor of h and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, -8, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1086, -1103, -1124, -1149, -1178, -1211, -1248?\nAnswer: -1289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85337 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m + 5*m)*(m - 2*m**3 + 2*m**3 - 2*m**4).\nAnswer: -12*m**5 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 - 3*t**2 - 16*t - 49. Let u be y(-8). Suppose 16*m = 4*o + 14*m - 1830, 2*o - 5*m = u. What are the prime factors of o?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109*b**6 - b**5 + 229*b**4 - 1632*b**2 - 7?\nAnswer: 13080*b**3 - 60*b**2 + 5496*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y + 23*y + 42*y - 2088. Suppose 0 = -n + 107 - 20. What is the greatest common divisor of y and n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 155?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7407 - 7416. What is the second biggest value in 0.8, -8\/5, v?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-530)\/805)\/1 - 8\/(-14)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/11745 and 17\/116?\nAnswer: 46980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2235331, 2235433, 2235535, 2235637, 2235739, 2235841?\nAnswer: 2235943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d + 82. Calculate i(-4).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u + 75 - 246*u**3 - 30 + 239*u**3.\nAnswer: -7*u**3 + 7*u + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + -b9b2?\nAnswer: -ba00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 102757*g + 102756.\nAnswer: (g + 1)*(g + 102756)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -409 - -459. Calculate the lowest common multiple of r and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 5. Let c = -4 + -2. What is b(c)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 2677269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 4*l + 7. Let p be v(-7). Suppose -o = 4*r - 148, -4*r + p = -2*r - 2*o. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.21 + 0.2. Let d = -2.01 - x. Suppose -5*p = -2*n - 5, 3*n - 6*n - 10 = -5*p. Which is greater: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -564719 (base 10) to base 11.\nAnswer: -356311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 at least as big as -71243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -120202?\nAnswer: 120142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (424\/265)\/((-8)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 292, 1\/5, -1, -74\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/5))**6*t\/(t\/t**0)*(t**6\/t)\/t assuming t is positive.\nAnswer: t**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116886, 472091, 1064110, 1892949, 2958614, 4261111, 5800446?\nAnswer: 7576625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 5:36 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 88466.32km in millimeters?\nAnswer: 88466320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79079 is divided by 7905?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -42. Suppose -31 = -2*z - 3*z + t*o, z - o = 8. Suppose -b = -1, 5*b - 2*b = z*h - 97. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 928 - 24630.28235\nAnswer: -23702.28235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7677 + 0.2.\nAnswer: 7677.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76 or 28?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o - 3. Let z(n) = -n - 2. Let m(d) = -d - 1. Let g(q) = 3*m(q) - 2*z(q). Let b = -630 + 631. Determine b*s(x) + 4*g(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37200\/(-23250)*(-13)\/(-3)*(-15)\/(-4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 441 divide 720740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 10*n**2 + 9*n + 1. Let x be y(-9). Suppose 2*r + 3 = -q, -4*q + 2*r + 19 = x. What is the remainder when 3 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 25 = -2*c + 5*c, 19 = 2*s - 5*c. Let k be (-33)\/7 + (-2)\/s. Let o = k - -12. Solve 5*m - o - 3 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2599881*c**4 - 14238580*c.\nAnswer: -31198572*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**7*q*q)\/q**(2\/17))\/((q**(7\/5)\/q)\/(q\/(q\/q**(2\/9)))) assuming q is positive.\nAnswer: q**(7424\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466*k + 435*k = 744 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 11:26 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781736451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1086, -2169, -3252?\n\"Answer: -1083*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 - 11798*k**2 - 1062664*k\/3 - 661248.\nAnswer: (k - 35424)*(k + 2)*(k + 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -111, -200, -307, -426?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**2 - 5*s**2 + 0*s + 0*s - 9*s**2. Let m(n) = -5*n**2. What is g(m(f))?\nAnswer: -475*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4751443.\nAnswer: 89, 197, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -12*h + 24. Determine c(11).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -456685, -1826770, -4110243, -7307104, -11417353?\n\"Answer: -456694*h**2 - 3*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + 632. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 9 = -4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 34*c = 35*c + 570, -5*i + 1424 = -2*c. Suppose -3*n + i = -a + 3060, 2*n - 8295 = -3*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, d: 7, v: 1, n: 2, j: 5}. What is prob of sequence xnnj?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5235813 to the power of 1\/2, to the nearest integer?\nAnswer: 2288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1712 = b, -4*h + 7*h = b - 1700. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -105 - -44. Let u = x - -65. Suppose 13 = u*n - 11. Calculate the remainder when 23 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8771*j*y**4 + 5*j*y**2 + j*y - 4*y**6 + 100*y wrt y.\nAnswer: 210504*j*y - 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 410 a factor of 10277620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1673 is divided by 1143.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -6. Solve 4*q + 20 = 0, p + 8 + 15 = -c*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**4 + 7*h**2 - 3. Let p(y) = y**4 + y**2 - 1. Let t(k) = -n(k) + 3*p(k). What is the third derivative of t(q) wrt q?\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -114 + 371. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1020312012131 + 10?\nAnswer: 1020312012201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-2))\/((-370)\/14495). Let y = q - 11\/148. Let r = y + 39. What is the third smallest value in -5, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5591 to two decimal places.\nAnswer: 1.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*-2 + (-1930)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2. Let p(s) = -7 - 29*s**2 - 2*s - 12 + 19. Let h(a) = -86*a**2 - 6*a. Let w(d) = -6*h(d) + 17*p(d). Determine n(w(u)).\nAnswer: 529*u**4 + 92*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 377481007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0289, -0.2, 10, 2, 0.4, 6\/23, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 - (107 - 47 - -1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f - 6, 5*p - 351 = -2*f. Suppose 0 = 3*c - 275 + p. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 613549 + 849365. Suppose -v - 12318 = -3*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1377 and 162.\nAnswer: -223074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 50 = 5*v. Calculate the greatest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*j - 2987 - 2147. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136 - 110. Find the third derivative of 0*d**3 - 33*d**2 - d - 7*d**4 + p*d**2 + 0*d**3 wrt d.\nAnswer: -168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 - h**3 + h**3 + (-15 + 15 + 6*h**3)*(1 - 1 - 1).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 931, -2573, -3 in decreasing order.\nAnswer: 931, -3, -2573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27559.\nAnswer: 7, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90607, -181175, -271743, -362311?\nAnswer: -452879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -42*y + 9. Suppose -36 = -11*m - m. Let q be c(m). Let r = -114 - q. Solve -g - 15 = -4*v, -r*g = v + 2 - 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-140))\/((-2)\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -396\/49 - -38649\/4655. Let k = 2373913\/1014450 - 2\/20289. Find the common denominator of k and x.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 8 + 1\/2*w**2 + 2\/3*w**3 - w + 3\/2*w**4. Is n(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -136934e?\nAnswer: 136934b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 - 13. Let u = -30 - n. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 61648510, 61648500, 61648484, 61648462?\n\"Answer: -3*o**2 - o + 61648514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/((-885)\/177)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26543, 26536, 26527, 26516, 26503, 26488?\n\"Answer: -w**2 - 4*w + 26548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -563, -5, 12 in descending order.\nAnswer: 12, 7, -5, -563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206458440 divided by 15765.\nAnswer: -13096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**4\/3 + 2*o**3\/3 + 2*o**2 + 53*o. Let c(g) = g**2 - g - 1. Determine 6*c(x) + j(x).\nAnswer: 2*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008735396 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 17\/2 of a microsecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 1)*-1 + 1. Let q be (-6)\/2 + (-1 - v). What is the nearest to q in -1, 5, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47288 is divided by 270?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 130268242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 94398 divided by -3?\nAnswer: -31466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.0583 millilitres in litres?\nAnswer: 0.0470583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 561\/68*(0 + (-9 - -5))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 6, 0, -398, 1 in ascending order.\nAnswer: -398, -5, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5778.6588us to hours.\nAnswer: 0.000001605183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -778*d - 8240697 + 8301381 = 0 for d.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-18) - 1\/(-35)*4625\/150.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1187 (c) 82 (d) -0.075\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207730, 207709, 207676, 207625, 207550, 207445, 207304, 207121?\nAnswer: 206890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2450) + 0 + 0 + sqrt(162))**2.\nAnswer: 176*sqrt(2) + 3876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*s. Let k be (4\/(-16) + s)*-4. Let q be -4*k - (-1336)\/(-1). Round q to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1646138468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b*y**4 + 5003*b*y - b + 29*y**4 - 10228774 wrt y?\nAnswer: 16*b*y**3 + 5003*b + 116*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1156 divide 78841512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 + 3*w**3 - 45*w**2 + 69*w - 30.\nAnswer: 3*(w - 2)*(w - 1)**2*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**2 - 80664*d + 406667556 = 0. What is d?\nAnswer: 10083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppn when three letters picked without replacement from {m: 1, p: 2, n: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.84*-0.0852.\nAnswer: 0.071568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 915 = 13083*d - 13022*d for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/12 - 1)*-2. Let m = -0.04 - -0.04. Let r = m - -0.5. Which is the closest to -0.1? (a) x (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 9:46 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -80073060 rounded to the nearest 1000000?\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*v + 50*v = -5. Solve v = -3*b + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**6\/600 - f**5\/75 - f**4\/30 - 4829*f**2. Suppose s(u) = 0. Calculate u.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 750?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i**2 - 15*i**2 + 31*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 333419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*f**3 - 71*f**3 - 80*f**3 + 227*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b + 1. Suppose 0 = -m + 2*m - 3. Suppose 0*n - m*j = 2*n - 33, 4*n - 4*j - 16 = 0. What is the smallest common multiple of n and o(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 173468\/15 or 11565?\nAnswer: 173468\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 527 and 16.\nAnswer: 8432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 16*r**2 - 12. Let s(q) be the first derivative of -1\/3*q**3 + 18 + 0*q**2 + q. Determine -l(a) - 12*s(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*(w*w**(-1\/5)*w*w)\/w)**6 assuming w is positive.\nAnswer: w**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89559, 179127, 268695, 358263, 447831, 537399?\nAnswer: 626967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**3 + 3*t**2 - 10*t + 3. What is the units digit of k(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6334, 12662, 18990, 25318, 31646?\nAnswer: 37974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1227814, 1227812, 1227810, 1227808, 1227806, 1227804?\nAnswer: 1227802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/4)\/g*g**(1\/2)*(g**(2\/3)\/g)\/((g\/((g**(2\/13)\/g)\/g))\/g) assuming g is positive.\nAnswer: g**(-457\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a + 8. Suppose 2*v = -0*v + 6. Let d(g) = -2 + 6*g - 4*g - 1. Give v*s(m) + 8*d(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**3 - m**2 - 2*m - 2. Let w be t(-1). Put 3, 2, w in descending order.\nAnswer: 3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((7 - 8) + 2 - 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6760653 is divided by 684?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3060\/28 - 1\/(-3)*60\/(-70) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35.84 + -35.83999995215. Round z to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2880)\/210 + 12)\/((-9)\/(-105)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -29. Let z(v) = x*v - 5 - 41*v**2 + 4 + 42*v**2. Determine z(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2720701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 148 + -549. Let n = j + 419. What is the highest common divisor of 294 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1198972208?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 2. Let s(u) = u**3 + 2. Suppose -9*p + 24 = -3*p. Determine p*t(j) - 3*s(j).\nAnswer: j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 4.44?\nAnswer: 4.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34205 (base 9) to base 8.\nAnswer: -54356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 4*u + 36, 4*x + 4*u = -3 + 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 5, 0.16, -322?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 5\/5*-47. Let j = -30 - g. Find the first derivative of o**2 - 3*o**2 - 7 - 3 + j*o**2 wrt o.\nAnswer: 26*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -253 or -15591?\nAnswer: -253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + 41. Suppose z = m - 4*q, 0 = -m + 3*m + 2*q - 74. What is the remainder when m is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -14*k + 70. Suppose 18 = -t + k. What is the smallest value in 2, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from dzzdxvzvvvvzviiv?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 7*n**2 + 141*n + 53. Let z be c(16). Solve 0 = -4*i - 4*a + 8, -12*a = z*i - 10*a - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u. Let s(g) be the first derivative of 10*g**3\/3 + 17. Determine p(s(l)).\nAnswer: -70*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.321.\nAnswer: 0.963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.12766 + 0.37234. Let d be (2 + 0 + -3)\/(-1). Let v be (-45)\/24 + (3 - d). What is the second biggest value in -1\/2, q, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + y - 5. Suppose 35 = x + 6*x. Suppose x*t + 44 = 14. Is u(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 87, 136?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69129108 + -4562246819\/66. Let d = -4158 + s. Find the common denominator of 67\/2 and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 422.431 nanometers?\nAnswer: 0.0000422431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-2 - (25 - 35))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/5 and -48\/363677.\nAnswer: 1818385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 12*k**2 - 17*k - 16. Suppose 3*z - 23 = 2*y, 0*z + 5*z = 5*y + 60. Is 18 a factor of t(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Suppose 0 = -m + 3*v - v + 13, 5*m - 43 = -v. Suppose -12 - m = -3*n. Calculate the lowest common multiple of n and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and 0.092?\nAnswer: -2.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 5*g**2 - g. Let d(j) = -5*j**3 - 922 - 4*j + 21*j**2 + 922 - j. Determine 2*d(c) - 9*w(c).\nAnswer: -c**3 - 3*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7688*k - 12880 = -3989*k - 3860*k for k.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9081202284*n**2 + 4 - 4 + 9081202286*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/444 and -47\/18.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -986881741199 and 1.19.\nAnswer: -986881741197.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - l**2 - 22*l + 37*l - 16*l + l.\nAnswer: -l**2 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11356556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 7:02 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j**3 - 2*j**3 - j**3)*(1 - 1 + 2)*(6 - 1 - 2)*(-5 + 3 + 5) in the form s + f*j**3 + z*j**2 + m*j and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13274 - 65875 = -3*t + 4*z, -5*z = t - 26402. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-6))\/((-6)\/72). Suppose r*a = 12 - 76. Is a less than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -12*j + 1053. What is d(88)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 3*n**2 - 6*n - 5. Let q be y(-4). Differentiate -7*l**3 - 10*l + 2*l**q + 10*l - 9 wrt l.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66*i**3*k*y - 279*i**3*y + 3*i**2*k - 118*i**2*y - 3*i**2 + 2*i*k*y + y wrt i?\nAnswer: -396*k*y - 1674*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0 = -3, -l = 2*g - 105. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 254\/21 + 4\/(-42). Let d = -1 - -37. Calculate the highest common factor of g and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 2060*t**2 + 236054*t + 463884.\nAnswer: 2*(t + 2)*(t + 129)*(t + 899)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 355536425 to the nearest integer?\nAnswer: 18856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.4, -0.42, -0.16, -4?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8*u. Let l be 2\/5 - (-18)\/5. Let n(x) = -23*x. Let y(g) = l*n(g) - 11*i(g). Let k(z) be the second derivative of z**3\/6 - 2*z. Determine k(y(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b. Let h be n(13). Let k be (h + -2)*4\/(-6). Is -4 + (-5)\/(k\/(-82)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6083, 6041, 5999, 5957, 5915?\nAnswer: 5873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 52 - 15)*(-1438 + 60*w**3 + 1438) to l*w**3 + o*w + s + a*w**2 and give l.\nAnswer: -3240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -2686621\nAnswer: -1074648.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2))\/q*q**10*q**1\/q**(-4) assuming q is positive.\nAnswer: q**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 11*x**2 - 4*x. Suppose 2*p - 14 = -67*u + 64*u, 4*u - 24 = -4*p. Let h(l) = l. What is p*h(t) + n(t)?\nAnswer: -t**3 - 11*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1\/2, -25, 3\/7, -1, -128?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32972835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*a**5 - 19*a**4 - 3*a**3 + 368*a + 5 wrt a?\nAnswer: -260*a**3 - 228*a**2 - 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/((i**(1\/3)*i)\/i)))\/i**(-4\/9))**(-9) assuming i is positive.\nAnswer: i**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhkhkhhhhk. Give prob of picking 1 k and 1 h.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001796559887 to 6 dps.\nAnswer: -0.001797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 4*x**2 + 6*x - 9. Let h = 3441 - 3436. Calculate v(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10017 - -15789. Does 214 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/g)**(-15\/11)*g**(-9)*g**(-5\/6) assuming g is positive.\nAnswer: g**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 11:39 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-6))\/(12\/126*-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbdbbdxb. What is prob of sequence xb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59387 is divided by 748.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 t, 1 d, and 1 f when four letters picked without replacement from dtactdfa.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1435914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1. Let z(l) = 18*l - 2. Let s(n) = -m(n) + z(n). Suppose -2*a - 3*o + 7 = 0, 6 = 4*a + 2*o - 4. What is the tens digit of s(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c - 27. Give f(-14).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*m + 13. Suppose -2*c + 19 = 3*d, 8 = c + 4*d - m. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 142 = -5*w - 13, -w = 2*r - 99. Suppose 7*d - r = 6*d. Is 18 a factor of 40\/d + 2102\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (-2 + 1))*-10. Find the common denominator of 13\/2 and (111\/p - -1) + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 16717*h + 12. Let s(v) = 1257703494*v + 902826. Give -150471*a(d) + 2*s(d).\nAnswer: -16719*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-34)))\/(y*y\/y**(-10)) assuming y is positive.\nAnswer: y**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 - 3*c**2 + 10*c - 7. Is q(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + y**2 + y**2 - 4*y**2)*(2 + 5 - 5)*(13 + 11*y - 13).\nAnswer: -44*y**3 + 66*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -216622, -3, -10, 2, -1, 0, 3 in increasing order.\nAnswer: -216622, -10, -3, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40146057?\nAnswer: 3, 7, 311, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 34. Solve -4*u - t = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 21. Let b = f + 48. Suppose -s + b = 2*s. What is the remainder when s is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3234 + 3237. Suppose 2*l + 3 = 3*y, -l + 4*y - 1 - 8 = 0. Calculate the remainder when l is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.5644694 + -3134667.\nAnswer: -3134673.5644694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 2)*279\/18. Solve i - 22 = 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 114 = -4*y, 0 = 2*k + 6*y - 5*y - 237. Calculate the remainder when 582 is divided by k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -5 - (1 + (-3 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/8 of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1242\/21839?\nAnswer: -1242\/21839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.34825\nAnswer: 0.1393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 852 = -2*t + 81, -4*t + 1869 = -3*q. Suppose -k + 4*k - t = 0. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/96 and 41\/222420.\nAnswer: 1779360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 526643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 64209814 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 3*l**2 + 5*l + 2. Let w be v(-2). Does 4 divide w\/(-3)*(-7500)\/(-40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*d + 15169 = -d - 18953. What is the lowest common multiple of 88 and d?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -v + 2*g, 101*v - 26 = 96*v + 2*g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + 76 + -29 - 44) + 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 - 4)*(0*p**2 + 0*p**2 - 2*p**4)*(-2*p + 2*p + 2*p).\nAnswer: 44*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16146419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6320?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 203.407 rounded to zero dps?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -0.4, -1, -0.5, -44, 16.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 2. Let o be w(-2). Suppose -15 = -8*i + 3*i. Suppose 9*q + i = 6*q. Sort q, 3, o in ascending order.\nAnswer: q, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + (37 - (28 - 18))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**3 - 5*v**2 + 6*v + 6. Suppose 3*d + 5 = 2*p, -2*d - 8*p = -5*p - 1. Let c(k) = -k**3 - k**2 + k + 1. What is d*f(r) + 6*c(r)?\nAnswer: -3*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 3841 - 1673 = 5*b, -4*y + 5*b = -2434. What is the smallest common multiple of y and 77?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 180.998415 + -181. Round h to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3 - n**2 + n**2 - 5*n + n**3. Let o be h(-3). Let w be (4\/5)\/((-6)\/o). Sort w, -5, -2 in descending order.\nAnswer: w, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1192*g - 326*g + 150*g)*(4*g - 6*g + 0*g).\nAnswer: -2032*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99*-324.66.\nAnswer: 32141.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -11*w**8\/140 + 81*w**7\/350 + 3*w**6\/40 - w**5\/50 - 191*w**2. Determine j so that t(j) = 0.\nAnswer: -1\/4, 0, 1\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1544868 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 494 - 497. Let d(w) = -140*w + 28. Let a be d(f). Calculate the highest common divisor of 28 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/79 + 223\/553. What is the third smallest value in 4, z, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -6*j + 66. Let f be 10\/8 - (-21)\/28. Let o = 1 + f. Solve o*b + 35 = -5*z, 13 = -j*b - 3*z - 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*r**4 - 2 + 4 + 2*r**4 + 2*r**4 - 3*r**4 + (-5*r**2 + 2*r**2 + 4*r**2)*(-2 + 2 + 2*r**2) + 4*r**4 - 5*r**4 - r**4.\nAnswer: -2*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -96, -95, -94, -93?\n\"Answer: r - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6018347 = 53*r + 4429805 + 31358248. What is r rounded to the nearest ten thousand?\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**2 + 3*a. Let k(s) = -s**2 - 5*s - 1. Suppose 0 = 12*z - 4*z + 32. Let p be k(z). What is the tens digit of d(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -74104486, -74104476, -74104456, -74104420, -74104362, -74104276, -74104156?\n\"Answer: v**3 - v**2 + 6*v - 74104492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, q: 4, j: 1}. What is prob of picking 2 q?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(((i**5\/i)\/i)\/i)*i**3*i**(-4)\/(i\/(i\/i**(-1\/6))))**2)**(-24\/5) assuming i is positive.\nAnswer: i**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -7 - (-10 - -2) - 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.1 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + (-34)\/8)\/((-14)\/56). Suppose -2*a = -a - s. Let w = -9 + a. What is the remainder when 77 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -7*d**2 - 5*d - 7. Let h(c) = c**2 + c. Let s(t) = 3*t**2 + t + 8. Let o(q) = 5*h(q) + s(q). What is 6*l(n) + 5*o(n)?\nAnswer: -2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105*u + 35*u**3 - 105*u + (-2*u**2 - 3*u**2 + 4*u**2)*(-3*u + u + u) to the form l*u**3 + f*u + p + k*u**2 and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.785072 - 0.19.\nAnswer: 0.595072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-160)\/(-10) + 1 + 14. Solve c*m - 16*m + 60 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15277*z - 15287*z - 327 + 327.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -30960bb?\nAnswer: -30960b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + -5 - (-3 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/8957754 and -91\/10?\nAnswer: 44788770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 996.\nAnswer: 995.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - y + 4*y)*(-2 + 20 - 8).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23239, -46571, -69903, -93235, -116567, -139899?\nAnswer: -163231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 17. Let q(g) be the second derivative of -g**4\/3 - 1284*g. Calculate v(q(t)).\nAnswer: -8*t**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37354732, -74709463, -112064192, -149418919, -186773644, -224128367?\nAnswer: -261483088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**3*g*g**5*g*g*g*g**5*g*g*(g*g**6)\/g assuming g is positive.\nAnswer: g**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 276969419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1503 + 1597 + -47 + 1?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1503 (base 15) in base 10?\nAnswer: -4503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5049, -10128, -15207?\nAnswer: -20286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 45*m**3 + m**2 - 2*m + 13. Let n(l) = -43*l**3 + 3*l - 15. What is -3*a(c) - 2*n(c)?\nAnswer: -49*c**3 - 3*c**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 13 + 172. Suppose -4*l = -y - s, 0 = 3*l - 6*l - 5*y + 156. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5780*a - 132931. Determine x(23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -994572 divided by -497286\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/2 and -59\/85?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6073974962?\nAnswer: 2, 11, 4999, 55229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 9 = -5*d, -2*d - 3*d = -5*k - 15. Let r = -243 - -245. Suppose -3*b = -0*b + r*b. Solve d*m + m = b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -39*p - 1178. Calculate l(-47).\nAnswer: 655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (115199 + 5 + -3)*(-1 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 72564 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60845, 241908, 543681, 966164, 1509357, 2173260?\nAnswer: 2957873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o\/(o**0\/o))\/o)\/o*o*o)*o*o\/(o**(-7\/5)\/o)*(o*((o\/o**1)\/o)\/o*o)**(-3\/10))**42)**(-3\/8) assuming o is positive.\nAnswer: o**(-1071\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 476420 and 4648?\nAnswer: 952840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -5625?\nAnswer: -5621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 6*v + 5. Let i be d(5). Suppose i*c + 22 = 2*c. Calculate the remainder when 20 is divided by (c\/3)\/(4\/12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 - (-12*124)\/8. What is the greatest common factor of 1078 and o?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, 2, 17, 52, 113, 206?\n\"Answer: h**3 + h**2 - 9*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - -1. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -2 - -4) + (5 - 12) + 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4862, -9723, -14584, -19445, -24306?\nAnswer: -29167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 - 2*i + 4. Let v(c) = -c + 2. Let g(j) = -l(j) + 2*v(j). Let m(r) = 354*r**2. What is g(m(s))?\nAnswer: -250632*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**7\/840 - k**5\/20 + 4*k**3\/3 - 8. Let u(q) be the third derivative of s(q). What is the second derivative of u(a) wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 461173, 922351, 1383529, 1844707, 2305885, 2767063?\nAnswer: 3228241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q + 4*q**2 - 11*q**3 + 10*q**3 + 0*q**2 + 3. Suppose 2*i - 4*h - 12 - 2 = 0, 0 = 2*i + 4*h + 2. Calculate u(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55158 is divided by 243.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2122 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00058417874 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(448) - (sqrt(448) + -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-68)\/(-10)) + 30\/(-150)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-92)\/18 + 5)*-1. Which is the nearest to 0.1? (a) -1\/3 (b) -0.06 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + -49. Suppose 5*v + 21*m - 25*m + 158 = 0, 148 = -5*v - m. Let x = v - r. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 11*c**3 + 16*c**2 + 14*c - 792. Determine y(-6).\nAnswer: -2676","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 16 = 2*b + 2*b, -5*o - 4*b = 52. Let h be (32\/o)\/((-4)\/6). Solve 5*v - h*w = -25, 0 = -5*v + 3*w - w - 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from tjmjjjaakmtjajaa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/25 - 18\/1025. Let b = -162 + -45. Let r = b - -208. Which is greater: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-1 + 4) - (16 - 9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*v + 2*f, -6 = 3*v - f - 2*f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2442872 and 3.7.\nAnswer: 9038626.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 51. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u - 24 + 132 = 0. Let h = -0.24 - 11.76. Which is the nearest to 2\/7? (a) h (b) 1\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 4*r, v + 5*r - 1 = -4. Suppose 0 = v*j - j - 220. Let f = j - 9. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -105 + 69. Let c(i) = 4*i**3 - 2*i**2 + i. Suppose 3*l + 3 = 6. Let a be c(l). Solve 7*z = a*z - 8, 14 = -5*w + g*z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 0, 5*x - 3*k = x + 64. Calculate the remainder when 77 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1264 - 1270.17. Let t = b - -0.17. Sort 2\/11, t, -1.\nAnswer: t, -1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(-1*(sqrt(7) - sqrt(112))) - (-1 + sqrt(612)*-2))**2.\nAnswer: 74*sqrt(17)\/3 + 23282\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + 2*u**2 - 413*u - 2*u**2 + u**2 - 2*u**2 to the form x*u**2 + p*u + y and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 6*t**2 + 2*t - 5. Let l = 12 + -6. Calculate s(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/3116 and -93\/307952?\nAnswer: 12626032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-7) + 4\/(-14). Factor -x*c**2 + 10*c**4 - 5*c**2 + 4 - 6*c**4 + c**2.\nAnswer: 4*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 25566 = 5*y, 0 = i - 2*i - 2. What is y rounded to the nearest one hundred?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 32*t + 167. Let p be k(-16). Let r = p + 349. Let a(h) = 2*h**3 + 2*h**2 - h + 4. Let o(z) = -z**3 + 1. Calculate r*o(j) - a(j).\nAnswer: -6*j**3 - 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -8*t + 14. Let p(h) = 6*h - 16. Let j(l) = -4*d(l) - 5*p(l). Give j(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvcwcevcvjcvcivcc. What is prob of sequence ew?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from {l: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n - 1101 = -6098. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*m - 3*h, -2*m - 2 = 2*h + 4. Find the first derivative of 3*j**m - 1 - 12*j + 12*j wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 57 = -3*r, 501*r = 497*r - u - 51 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 304 - 324 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(20)\/sqrt(4)) - (sqrt(19) + sqrt(19) + sqrt(76)\/sqrt(4))*6.\nAnswer: -17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*a = -0 + 1, 0 = 2*i + 5*a - 22. Suppose 0*w + 105 = -i*w. List the prime factors of 134 + w + 1\/1.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11208 * -0.4\nAnswer: -4483.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 10*k = -32000. Suppose 17*f - 9*f - k = 0. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r - 84 = -25*r. Let o be 6\/r - 7\/(-2). Find the third derivative of -15*p**4 + 27*p**2 + 8*p**2 + p**4 - 2*p**o wrt p.\nAnswer: -384*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 13807863?\nAnswer: 6903931.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**6\/15 - 21*b**5\/10 + 47*b**4\/6 + 7*b**3 - 46*b**2 - 919*b. Determine d so that s(d) = 0.\nAnswer: -23, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166472 and 24096.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 - 7*r + 5. Let p be j(-3). Let d be (3\/15)\/((-1)\/p). What is n in 2\/3 - 1\/3*n**d - 1\/3*n = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -9, -2, -15, -83 in descending order.\nAnswer: 6, -1, -2, -9, -15, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -507.0215 - -0.0215. Is 0 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120904 + 126102902\/1043. Let v = p + -55879\/20860. Find the common denominator of v and 29\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 z when three letters picked without replacement from rrzrzz.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 19757.111414.\nAnswer: 19757.411414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*o + 21*o + 21*o**2)*(423*o + 180*o - 61*o).\nAnswer: 11382*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-91)\/21 + (-3)\/(-1). Let l be 38\/12 + (-9)\/54. Let n = -3097\/4 - -774. What is the fourth biggest value in k, l, n, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1761305 divided by 2?\nAnswer: -1761305\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(72) + 1*(sqrt(2) + 0)*3 + 1*(6*(sqrt(150) + (1*sqrt(150) - sqrt(150))))\/sqrt(3))**2.\nAnswer: 234*sqrt(2) + 3051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010010101011001 - 11?\nAnswer: 110010010101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 e when three letters picked without replacement from glelehe?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 18. Suppose 4*p = -3*y - 22, -3*p + 17 = -4*y - 29. Which is bigger: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 21 - 9 + d.\nAnswer: d - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-12) - (-14)\/3. Let f = 21 - b. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4429\/18 - -246. Suppose -z + 22 + 2 = -3*a, -5*z = 2*a + 33. Let o be ((-5)\/(-1))\/(4*1). Sort z, 0.2, o, c in increasing order.\nAnswer: z, c, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 1449*c = -1452*c - 3, -4*x + 5*c - 5 - 35 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*g**2 - 2*g**2 + 0*g**2)*(-12*g + 8*g - 2 + 1) to the form y*g**2 + z*g**3 + v*g + a and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 27, 7, -4, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1535, 0, -2\/5, -3, 7, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 4. Let l(v) = 717*v + 31. Let s(k) = l(k) + 3*o(k). Is s(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 + z)*(-4 + 3 + 0)*(862 - 166 - 186) + (-2 + 0 + 3)*(-5 + 2 + 2)*(z + 3*z - 2*z).\nAnswer: -512*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 1. Let i be n(-5). Suppose 2*o + o = i*u + 48, 0 = -2*o - 3*u + 15. Calculate the smallest common multiple of 4 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.00103727 and 2.\nAnswer: 0.00207454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1400010 by 69.\nAnswer: 20290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 23*c**2 + 13*c - 42. Let b be g(23). Let q = 251 - b. Sort q, -2, 1.\nAnswer: q, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 47630?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 4:10 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**5 + y + 12*y**5 + 26*y**5 + (-3*y + 0 + 0)*(2*y**4 - 3*y**3 + 3*y**3).\nAnswer: 30*y**5 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*t + 20, 0*a = -2*t + 4*a + 18. Let m be (-4 + t)*4\/(-6). Let r = 10 + -6. Solve -2*j + m*x - 6*x - 22 = 0, -4*x = r*j + 24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1539 minus -0.11981777?\nAnswer: -1538.88018223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 1255716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5, 5*t + w + 4*w - 75 = 0. Let q(s) = s**3 + 8*s**2 + 4*s - 9. Let v be q(-7). Which is greater: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjjy when four letters picked without replacement from wywywjvywsw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*o - 150*o + 8064 = 37*o for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50979509*x**2 + 55476866*x wrt x?\nAnswer: 101959018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -55, -39, -5, 53, 141, 265, 431?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 9348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.4481 millennia to months.\nAnswer: 317377.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33467742 to the power of 1\/3, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*l - 2*i, 3*i = 4*l + 2*i - 23. Let u be 4\/3*l*2. Suppose -c + 21 = -u. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.595 - 0.295. Let r = -13.3 + y. Let j be ((-4)\/(-8))\/((-1)\/10). Which is the closest to -4\/7? (a) r (b) 0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/75747 and 9\/2524900.\nAnswer: 7574700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000010110000 (base 2) in base 5?\nAnswer: -1012220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 436.896 + -0.896. Let v = 435 - d. Which is the nearest to 0.5? (a) -0.1 (b) -7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + u + 29, -5*k + u + 44 = -1. Solve 0 = -4*l - k, -4*i + l = -l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6958 and 2311050.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + -3. Let q(o) = 6*o**2 - 6*o. Let t(x) = -x**3 + 13*x**2 - 13*x. Calculate p*q(y) + 6*t(y).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 18 + (6 - (25 - 1))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4*x + 4924028, -4*x + 2*x = -3*d - 7385986. What is d rounded to the nearest 10000?\nAnswer: -2460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -13. 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: Let x be (1\/2)\/(1\/2). Let w = -288 + 290. Let g(p) = x - 1 - w - 11 + 3*p. Let v(z) = -2*z + 9. Calculate -5*g(t) - 7*v(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -2169081?\nAnswer: -2169081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 742 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 8) to base 15\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -1528572*b - 4. Suppose c = -2 - 5. Let q be f(c). What is q rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - (-2 - (1 - -5)). Factor 0*w**v - 2\/11*w**5 + 0 + 2\/11*w**4 + 0*w + 0*w**3.\nAnswer: -2*w**4*(w - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 10:14 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -4. Let u be 2\/4 - (-6)\/(-12). What is the biggest value in c, 4, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/8)*z*z**(-8)*(z\/((z**(-2\/9)\/z)\/z))\/(((z*z*z**(-2)*z*z)\/z)\/z)*(z**(5\/6)\/z**(-1\/4))\/((z**3\/z)\/(z**(2\/11)*z)) assuming z is positive.\nAnswer: z**(-2683\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(6\/5))\/(x**(-2\/5)\/x*x))**(-22\/3) assuming x is positive.\nAnswer: x**(-286\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 21. Let r(y) = -4*y - 8*y - 2*y**3 + 3*y - 9*y**2 - 7 + y**3. Let f be r(i). Solve 1 = -c - f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -3685?\nAnswer: -18425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 2*a**4 + 14 + 4*a**4 - 16 + 3*a**2 to q + z*a + m*a**4 + n*a**2 + c*a**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 - 3*o**2 - 3*o - 3. Let d(v) = v**3 + 2*v**2 + 2*v + 2. What is 3*d(i) + 2*y(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-3)\/(-18)*-2). Suppose n*h - 5 = 2*h. Solve -h*c - 4*r + 5 = 0, -5*r + 4 = 5*c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7487\/20 + -1545\/4. Find the common denominator of i and -39.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0 - (2 + -4)) + -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870089.\nAnswer: 11, 83, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(300) + (sqrt(12) - sqrt(48)\/sqrt(100)))\/((sqrt(120)*-2 - sqrt(30))\/sqrt(5)).\nAnswer: 71*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1131, 2155, 3073, 3885, 4591, 5191, 5685?\n\"Answer: -53*k**2 + 1183*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2362 is divided by 548.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -210*v**2 - 15*v + 30. Let i(p) = -52*p**2 - 4*p + 8. Let z(b) = 15*i(b) - 4*k(b). Let c(u) = -4*u**2. Calculate c(z(r)).\nAnswer: -14400*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u + 6. Let y = -800 + 799. Let g(w) = 5*w - 1 - 3*w - 3*w. What is y*d(o) - 6*g(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 7:36 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97 or -3?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 58228.\nAnswer: 873420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from ssvsshvbbhnmns.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -921799550 to the nearest 1000000.\nAnswer: -922000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 + (-233 - -222) + (1 - -4).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p**2 + 13*p**2 + 3*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**2 - 3*r - 11. Let f(g) = -5*g**2 - 5*g - 16. Let n(l) = -l**2 + 48*l + 148. Let y be n(-3). Calculate y*f(w) + 8*k(w).\nAnswer: w**2 + w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -5. Let k(v) = -q*v - v**3 + 6 + 1 - 8. Let i be k(-1). Solve 2*a - 12 = i*z + 2, 0 = -z + 5*a - 19 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*z**2 + 4*z**4 - 3*z**4 - 3 + 37*z**2 as g + t*z**2 + b*z**3 + o*z**4 + k*z and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 - 142*w**2\/3 - 908*w\/3 - 256.\nAnswer: -2*(w + 1)*(w + 6)*(w + 64)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*s**5 + 8*s**4 + 88*s**3 + 16*s**2 - 76*s - 24 = 0. What is s?\nAnswer: -2, -1, -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 10651201?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.15034913 to 2 decimal places.\nAnswer: -1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*z + 18 = 0, -39*z + 6 = -v - 43*z. Let h(l) = -l**3 + 11*l**2 - 27*l - 12. Let a be h(v). Solve k - a*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**2 + 463*p + 17682 = 0.\nAnswer: -421, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1220132113 (base 4) in base 11?\nAnswer: -272565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1623 - k - 1610 - 1041*k**3 - 17*k**2 + 3234 - 6488*k**3 wrt k?\nAnswer: -45174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*s**3 - 86*s**3 + 21*s**3 + 27*s**3 - 4*s.\nAnswer: -7*s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 198138 to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 18*b - 1\/2*b**2 - 4. What is the least common multiple of 12 and t(14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83009, 82990, 82953, 82892, 82801?\nAnswer: 82674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -423*k**2 + 9*k + 3*k**4 + 425*k**2 + 2 - k**4 + 5*k**3 to f*k + w*k**2 + d + m*k**4 + u*k**3 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.71 + -0.21. Let i = -9 + z. Let q = -0.04 - 0.36. Which is the closest to 1\/2? (a) q (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/5 - 192*r\/5 - 4608\/5.\nAnswer: -2*(r + 48)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2406822*s**2 + 7844*s - 45 wrt s.\nAnswer: 4813644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + -145010?\nAnswer: -144766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 - 6*r**3 + 12*r**3 - 4*r**2.\nAnswer: 4*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 6*k - 3*k. Let g = 2 - k. What is the lowest common multiple of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745713317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 5) to base 12.\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -28 + 122. Calculate the lowest common multiple of d and 6.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a - 79968 = -19*a. Does 16 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 25843 = 70*w - 65*w, 32282 = 5*z - w. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 5*x + 6. Let i be w(6). Let v be (54 - (i + -2)) + 3. Let u = v - 40. What is the remainder when 36 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -239.56 + 238. Let o = -1.36 - x. Let f = 6 - 5.9. Which is the closest to 1? (a) -4 (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/8)\/(2\/16*-1) + 133103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2 - 88 = 0. Let x = 60 + v. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b4c2b (base 14) to base 5\nAnswer: 222130032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 34 + 4 = -3*n, 2*i - 9 = -3*n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*x**4 - 5*x**3 - 25*x**2 + 3.\nAnswer: 312*x - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3 + 82*d**2 + 3. Let a(w) be the third derivative of 10*w**2 + 0*w**4 + 0 + 1\/30*w**5 + 0*w + 0*w**3. What is a(b(g))?\nAnswer: 13448*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + y + 3)*(19*y - 19*y + 8*y**3) - 5*y**4 + y**4 + 3*y**4 + (5 + 4 + 0)*(-3*y**4 - 3*y**4 + 5*y**4).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u - 3 = v, 3 = 4*v - u. Suppose -5*t + t = v. Is t equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 685\/291 + -2\/97. Let t = 0.1 - -0.9. Let u be 5544\/468 - 4*3. Which is the fourth biggest value? (a) x (b) -5 (c) t (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 479.3428 weeks?\nAnswer: 289906525440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(605) + sqrt(605)*-3)\/sqrt(11))\/(sqrt(30)\/(sqrt(66)\/(sqrt(11)*-2))).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5850001628 + 0.585. What is r rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 10*m + 12. Let k be z(-9). Let h be 58\/k*3\/2. Suppose 16 = 5*t - h. Calculate the highest common divisor of t and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 531*j**5 - 27*j**3 - 5*j**2 - 1832976*j.\nAnswer: 10620*j**3 - 162*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 0*c + 19\/3*c**3 + 0*c**4 + 0*c**5 - 37\/60*c**6 - 34*c**2 - 2. Find the first derivative of k(z) wrt z.\nAnswer: -222*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -237 - -534. Calculate the highest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 27723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 96.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 20 + 4)*(-3 - 1 + 1)*(-5*z + 3*z + z)*(4*z - 2 + 2) to the form p*z**2 + r + w*z and give p.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000898945 rounded to 7 dps?\nAnswer: -0.0000899","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2875 * -3.\nAnswer: 8625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.364 + -72.536. Let v = b + 73. Is v <= 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2210808 divided by 2210808?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8083, 5 in decreasing order.\nAnswer: 5, 0, -8083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from xkfkfryyfkfyxfrfk?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 2584\/(-255))*-10.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 20817?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**7)\/(s*s**(-2\/11))*s\/s**(-2)*s*s**(-10)\/s*s assuming s is positive.\nAnswer: s**(-141\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 288*l**4 + 3*l**3 - 674*l wrt l.\nAnswer: 3456*l**2 + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154018 - 51337 - 51346 - 51335 + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pih when three letters picked without replacement from {i: 4, t: 4, a: 3, p: 3, h: 1, n: 2}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 776 + -756. Solve u = -4*i - 2*h - 2*h, 0 = 5*i - 3*h + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 55 + 68935*j**3 + 0*j - 68938*j**3 + (-4*j - 11*j - 4*j)*(0*j**2 + j**2 + j**2) to the form l*j**2 + x*j + q + o*j**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059412 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 10*a - 5. Let n = 5 - 14. Let v be b(n). What are the prime factors of v*-37*6\/(-12)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 9*d - 1)*(1 - 2*d - 1) + 16*d**2 - 9*d**2 + 28*d**2.\nAnswer: 53*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -209 > -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413142 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -37*b - 71. Let j be 132\/(-44) + 1\/1 + 0. What is f(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 11*z**4\/2 + 16*z**3\/3 - 2*z**2. Let b(n) = -44*n - 10. Let u(m) = -16*b(m) - 5*r(m). Let o(h) = 2*h**2. Give o(u(p)).\nAnswer: 3872*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**4\/2 + 13*q**3\/2 + q**2\/2 - 13*q\/2 = 0. Calculate q.\nAnswer: -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*m - 4*m. Let u be (2 - (-2)\/3)*m. Find the common denominator of (-15)\/(-9)*9\/u and 1\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271 + 1531 = 5*g. Let n = -113012 - -113192. Calculate the greatest common divisor of n and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635*q**2 - 24 + 24 + 39*q**2.\nAnswer: 674*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022001 + -110?\nAnswer: -2022111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**3 - p + 13. What is r(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 41*w**3 - 1 - 3*w**2 - 16*w**3 - 16*w**3 - 11*w**3 in the form x*w**3 + s*w**2 + l + y*w and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 67*u**2 - u + 2. Calculate the remainder when k(1) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 14*z + 984. What is the least common multiple of 222 and k(-28)?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -16*w + 50. What is the second derivative of 90 - 3*x - 9865*x**3 + 24*x**w + 9863*x**3 + x wrt x?\nAnswer: 480*x**3 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(162)*-1 - ((1 + sqrt(162))*-5 - sqrt(162)))**2.\nAnswer: 360*sqrt(2) + 2617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1396.4257 + -1396. Round d to two decimal places.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 1)\/((-9)\/(-2)). Let g be 13\/11 - (-2)\/(-11). What is the nearest to p in -4, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 64 (b) -0.2 (c) 501\/8 (d) -1780\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, 4, -2, 22 in increasing order.\nAnswer: -2, 4, 22, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -280*a**3 - 17*a**2 + 21*a - 17. Let i(d) = 56*d**3 + 3*d**2 - 4*d + 3. Determine 11*i(b) + 2*p(b).\nAnswer: 56*b**3 - b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, t: 4, u: 3, x: 2, j: 3, c: 2}. What is prob of picking 3 t?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2089 a factor of 38280925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*q = 33*q - 706 + 3408 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -35, -0.5, 5, -2\/11?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - 191 + 19*q - 18*q + 68.\nAnswer: q - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/15)\/(6\/(-10)). Let t = -2.06 + 0.06. Let f = 0.353 + -0.853. Which is the third biggest value? (a) f (b) h (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 218 and -402552 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 11*t**2 + 17*t + 15. Let m(l) = 2*l - 3. Let w be m(4). Let h(o) = w*o**2 + 1 + 5 + 8*o + 1. Determine 6*d(x) - 13*h(x).\nAnswer: x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 + -1.94. Let p = -7319 + 7322.891. Let d = p + 0.109. Which is the second biggest value? (a) g (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 6*f + 0 + 1\/360*f**5 + 2*f**2 + 1\/72*f**4 + 0*f**3. Let g(p) be the first derivative of b(p). Factor g(h).\nAnswer: h*(h + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*w + 97*w**3 + 6*w + 14*w - 2 - 2*w**4 + 25*w**3 as z*w**3 + y*w**2 + j + p*w + f*w**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 3\/20, 0.4, -1\/3, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-10) - (9 + (-11)\/(-22))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 23148 - 23112 = 0, -4*h + 1 = 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -13, -313, 6 in descending order.\nAnswer: 6, -5, -13, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 9*n + 13. What is i(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m - 293899 = -85803. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2. Let m(l) = -71206466*l. What is m(u(i))?\nAnswer: -142412932*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*n + 4. Suppose -q + 33 = n*q. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100*f**2*t + 23*f**2 + 79*f*t - 4*f + 4 wrt f.\nAnswer: 200*t + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gagaagagagiaaaggh. Give prob of sequence gh.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3350116850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102)*1 + sqrt(102))*-6 + sqrt(102))*3)\/(-1*sqrt(24)*3)*-1.\nAnswer: -11*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b**2 + 2*b**2 - 5*b**2 + (3*b - 3*b + b)*(1 - b - 1) + b**2 + 2*b - 2*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 515, 516, 517, 518?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 7:03 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/1 - (-2 + 0). Suppose -9*o + 26 = -5*o - 2*m, -2*m = -2*o + 18. Suppose n + 0*n - o = d. What is the remainder when 13 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84\/17 + 471\/85. Factor -9\/5 - 12\/5*k - m*k**2.\nAnswer: -3*(k + 1)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, x: 2}. Give prob of sequence ttx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*c**2 + 57*c + 48*c + 10*c**2 to b*c**2 + k*c + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 5*o - 3. What is the remainder when 43 is divided by x(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gegr when four letters picked without replacement from {g: 4, r: 2, e: 7}.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3096327 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.89 + 15.\nAnswer: 23.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 428.18 + -7.18. Let f = -421.000000323 + j. What is f rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*y - 1621 = -290 + 125 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - p + p)*(-2 - 1 + 0 + 0 + 2 + 0 + 4 - 2 - 1 + (-3 + 1 + 1)*(-3 + 0 + 4))*(2*p**2 - 18919 + 9443 + 9462 - p**3).\nAnswer: -2*p**4 + 4*p**3 - 28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-153)\/(-27) - 6)\/((-21)\/14)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -330*j. Let w be i(4). Let c be (1 - 5)\/(6\/w). What is the third derivative of -c + 880 - 2*g**4 - 14*g**4 + 7*g**2 wrt g?\nAnswer: -384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 1.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1319\/195 + 217\/39. What is the closest to 2 in y, 4\/3, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/15)\/4*(-104)\/(-3900)*125?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1573\/(-2860))\/((-2)\/(30\/(-3)))\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 44 - (-2 + 4\/(-2)). Let r = m + -38. What is the first derivative of -2 - 2*k - 3 + r*k - 4 wrt k?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -4\/21, 4, 0.05?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 43666 (base 8) to base 16\nAnswer: 47b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*k + 34 - 372 = 901 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r. Let k be m(2). Suppose a + 11*y = 15*y + 8, -4*a - 2*y - 4 = 0. Is k at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -450322811\/152745 + 2\/152745. Suppose 2*d - 5926 = 2*g, 2954 = d - 0*d + 2*g. Let j = a + d. Calculate the common denominator of 37\/10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*o)*(-2*o + 3 - 3).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -7 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 277 + 1?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 95*u + 95. Let m(f) = -32*f - 32. Let h(p) = 10*m(p) + 3*x(p). What is the first derivative of h(k) wrt k?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*c**3 - 3*c**2 - 17*c + 15*c + 3*c**2 to the form t*c**3 + o + j*c + r*c**2 and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 69 = 6. Is 34\/((-3 + -2)\/y) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*s**2 + s**2 + 2*s**2 + (1629*s + 457*s - 677*s)*(-3*s + 0*s + 4*s) to the form r*s + g + i*s**2 and give i.\nAnswer: 1399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -534*g**2*z + 2*g**2 - 4*g*z + 673*g + z wrt g.\nAnswer: -1068*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 1\/2, -0.0256, -2\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/((504\/210)\/((-12)\/(-15))). Solve -k = -n + 1, s*k - 6 = -5*n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 829 + 5*r**3 - 2*r**2 - 338.\nAnswer: r**3 - 2*r**2 + 491","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a milligram in micrograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 21*n**2 + 19*n - 26. Let v be s(-20). Let i be (-189)\/(-14)*(-8)\/v. What is the highest common factor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-2 - 1 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28660596, 28660595, 28660594, 28660593?\nAnswer: 28660592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442504 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13331102133 (base 4) to base 9\nAnswer: -3828460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 7. Let o be s(8). Let l = 3 + -2. Let w(d) = -1 - d + 1 - l. Let x(a) = -5*a - 8. Calculate o*x(h) - 6*w(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16031.57795 rounded to one decimal place?\nAnswer: 16031.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31228341733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2122.394 to zero dps.\nAnswer: -2122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121 - 69. Suppose 2*t + 2*t + m = 3*b, -67 = -4*b + 3*t. Suppose b*z - 8662 = -1206. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -527.614.\nAnswer: -1055.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -127.68923349 + 128.459234. Let q = -12.3 + 11.53. Let n = q + s. Round n to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -13*k + 14. Let q(p) = -4*p + 5. Let d(i) = 2*c(i) - 7*q(i). Let o be d(5). Suppose -3*z = 7*u - 2*u - 1070, 15 = o*z. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3192 and 39144.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2, 5*v + 10 = 5*g. Suppose 0*h - s - 86 = 5*h, -5*h + 5*s - 110 = g. Let w(d) = d**2 + 4*d + 14. Is w(h) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -104, 83\/3.\nAnswer: -104, -5, 3, 83\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/27552 and -151\/450?\nAnswer: 2066400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 370978374 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 2. What is the tens digit of t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.405 - 0.035. Let o = 0.07 - q. Let n = -2.96 - 0.04. Which is the second biggest value? (a) o (b) 2\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421252513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.39 - -17.61. Let o = 2257575 + -2257593.00011. Let s = o + q. What is s rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 377, 2, 5, -73 in descending order.\nAnswer: 377, 5, 3, 2, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 33739082, 33739084, 33739086, 33739088?\n\"Answer: 2*p + 33739080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007322193 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1555 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/81*6 - 178\/(-801). Which is the closest to r? (a) -0.3 (b) 0.4 (c) 2\/13 (d) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 3*l**2 + 2*l + 3. Determine k(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1367 is divided by 98.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21464142 rounded to the nearest ten thousand?\nAnswer: 21460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 10:15 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10430 = -2*w + 144*w + 156*w for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1752 + -0.18453. What is u rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 3. Let h(p) = 7*p**2 + 24. Let v(a) = -h(a) + 8*r(a). Let n(m) = -m - 125. Determine n(v(s)).\nAnswer: -s**2 - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3*p**3 - 3 + (5*p - 4*p - 3*p)*(p**2 - 2*p**2 + 2*p**2) + 0*p**3 + 0*p**3 + p**3 - p**3 + 0*p**3 + 3*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -1)*((-377)\/(-26) + -9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/72 and 11\/108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*i - 4851, 2*f - 3*i = -1100 + 3523. Let b = f - -582. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*d - 183 + 71. Let j(c) be the second derivative of 0*c**2 - 11\/6*c**3 + 0 + 5*c + 3\/4*c**d. Find the second derivative of j(t) wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*c**4*d**2 - 14819355*c**4 - 62723069*c*d**2 - c*d - d**2 wrt c.\nAnswer: 72*c**2*d**2 - 177832260*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-117)*(-6804)\/2268.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1690 and 1521?\nAnswer: 15210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18650080 by -410.\nAnswer: 45488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**3 + 6*m**2 + 6*m - 3. Let v(a) = -a**2 - a - 1. Let i(k) = -d(k) - 6*v(k). Find the first derivative of i(r) wrt r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-68)\/(-144) + (-26)\/117. Factor w*f**2 + 0*f + 0.\nAnswer: f**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 = 4*d - 41. Is d a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15271, -62098, -140143, -249406, -389887, -561586, -764503?\n\"Answer: -15609*l**2 + 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*b + 934930 - 270930, g + 498000 = 3*b. What is b rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11118*r + 2124 = 1425228 for r.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -1\/3 (c) -1\/4 (d) 3\/5 (e) -80 (f) 0.079\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 8*a**2 - 9*a + 13. Determine d(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 91, 186, 285, 388, 495, 606?\n\"Answer: 2*m**2 + 89*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 183744 and 110?\nAnswer: 918720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**2 + 33 - 33 - 3*m**3 + m - m - m**3 + 0*m**3 - m**3 - m**3 + (m**2 + 1 - 1)*(-3*m - 2*m + 3*m) + 2*m**3 + m**3 - 5*m**3 - 3*m**3 + 3*m**3 - 2*m**3.\nAnswer: -12*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 714873 is divided by 11346.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17669354 is divided by 5889754.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*d - 4 - 47 + 51.\nAnswer: -106*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156858 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**3 + 26*y**2 - 169*y = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 75*f**2 - 2. What is r(75)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -33062 at least as big as -33138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4169956630 to the nearest integer?\nAnswer: 64575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 18 = 2*w, -5*c = 5*w - 89 - 31. Suppose -2*l = -2*g + 2*l + 468, g - 3*l = 230. Calculate the highest common factor of g and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32945255 is divided by 74201?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l**2 - 72*l - 41. Calculate w(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -84355 (base 9) in base 16?\nAnswer: -d991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/444159 and 58\/119.\nAnswer: 3109113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -29*z + 16. Let y be f(2). Let h be (-3)\/(-7) - 108\/y. Which is the nearest to -5? (a) h (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7570949l in millilitres?\nAnswer: 757.0949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1968103*b**3 + 656026*b**3 + 656036*b**3 + 656038*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**2 - 5*x - 38. Let t(b) = 11*b**2 + 14*b + 107. Give 6*t(i) + 17*v(i).\nAnswer: -2*i**2 - i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x - 14\/5*x**2 - 6\/5.\nAnswer: -2*(x - 1)*(7*x - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 > 2206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 + -72. Let u = h - 15. Let f(w) = 3 + 2*w**2 - 2 - 2*w - 2*w + 3*w. Calculate f(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 22*y + 59. Let s be 6\/(-21) - 710\/(-35). Is r(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 408, 1624, 3650, 6486, 10132?\n\"Answer: 405*z**2 + z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 730160*u**4 + 604595.\nAnswer: 2920640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**2. Let a(y) = -3*y**2. Determine a(h(s)).\nAnswer: -48*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*h**4 + 1\/2*h**3 + 0*h + h**2 + 0.\nAnswer: -h**2*(h - 2)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/656 and 9\/447392.\nAnswer: 447392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147231360\/3600 + (-12)\/(-5)?\nAnswer: 2, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -284849, 2, -4, -1 in ascending order.\nAnswer: -284849, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = 5*h - 2*h + 2*p, -h + 4*p = 51. Let u = h + 519\/11. Let w = -0.44 - -0.14. Which is the second biggest value? (a) w (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 466702 and 916?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + -8 + 9 + 2*1. Find the third derivative of -50*s**2 + 26*s**r + 3798 - 3798 wrt s.\nAnswer: 3120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 11*n + 339. Determine h(-31).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*g = g + 14, -4*d - 4*g + 4 = 0. Suppose -l - 6 = 4*l - d*x, x - 2 = -4*l. Let p = 22 + -19. Sort l, -2, p in increasing order.\nAnswer: -2, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -7*f**4\/12 - f**3\/6 - 102*f**2. Let a(b) = -3*b. Determine -11*a(g) + 2*z(g).\nAnswer: 5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 73 + 35. Let k(j) = -10*j + 16. Let g be k(-2). Calculate the greatest common divisor of g and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7780 = 5*h - y, 18*h + 6210 = 22*h + 2*y. Suppose 4*u = h + 117. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 852 and 386950.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -68 + -1?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2.42 (b) 0.5 (c) -2\/9 (d) 12\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**5\/20 - i**4\/2 - i**3 + 9*i**2\/2 - 14*i. Let q be z(7). Solve 0 = -5*j, -k + q = -5*k + 4*j for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4219759 is divided by 169?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 8) to base 5.\nAnswer: -342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906 a factor of 106465348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*y - 69 = -78*y + 160*y. Let f be (-2)\/3 - (-14)\/3. Suppose y + 147 = f*n. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1238184 and 2616.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 = -81*a - 22*a. Let i(w) = 11*w. Let f(q) = -12*q. What is a*f(s) - 3*i(s)?\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 5*d**2 - 3*d + 2. Let f be y(-4). Let n be (-200)\/(f*3\/(-12)). Round n to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2228, 2221, 2200, 2159, 2092, 1993, 1856?\n\"Answer: -p**3 - p**2 + 3*p + 2227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4950705 is divided by 59.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 24.47 (b) 2 (c) 0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 - 6*v + 5. Let p be m(2). Let b be (p\/10)\/(9\/(-24)). Suppose 7*n - 3 = b. Solve -4*y + n = -3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2138 + -19169\/9. What is the common denominator of x and 71\/(-10)*(-9 - -8)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**4\/22 + 362*p**3\/33 - 365*p**2\/11 + 366*p\/11 - 1596. Factor h(u).\nAnswer: 2*(u - 1)**2*(u + 183)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 904542931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1701 * -0.5\nAnswer: -850.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k**2. Let h(o) = 95*o. Let p(l) = -8*l. Let a(q) = -3*h(q) - 35*p(q). Determine x(a(z)).\nAnswer: -150*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 46491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**3 - 212*d**2 + 20*d - 989500 wrt d?\nAnswer: 3*d**2 - 424*d + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*n**2 - 130*n**2 - 111*n**2 + n**2 - 4*n**2 + n**2 + (-5*n + 3*n + 3*n)*(1 - 2*n - 1).\nAnswer: -293*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 333678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (194\/8)\/((-6)\/24). Let u = w + 100. Let c be (-8)\/(-3) + 2\/6. Solve c*f + 3 = 4*x - u, -4*f = -4*x + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3834 - -273.6166. Is p smaller than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 6*q = 4*q - 136. Calculate the highest common factor of q and 425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10599665?\nAnswer: 5, 23, 61, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o + 0 + 1\/12*o**4 + 0*o**3 + 1\/2*o**2. Differentiate k(d) wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2176)\/(-20))\/((-12)\/(-30)). Calculate the common denominator of -45\/182 and (l\/(-132) - 8\/(-12))*-3.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.568341*-2.\nAnswer: 1.136682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 2. Suppose -9*j - 23 = -5. Let v(p) = 5*p - 2. Let s(t) = -t + 1. Let f(k) = 4*s(k) + v(k). Determine j*o(b) - 3*f(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62706395 and 1465.\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112112 (base 3) to base 13.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3209*a - 2*a**3 - 10*a + 3*a**3 + 0*a**3 + 14*a**2.\nAnswer: a**3 + 14*a**2 - 3219*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 925\/3 - (-36)\/(-27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -3 (c) -4 (d) -3\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2, -1.5, -1\/14, -606?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - 14 - 8) + 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlolnolllllllolnoln. What is prob of picking 1 l and 2 o?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = 1049*w - 1050*w. What is the greatest common factor of 39 and w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241373068?\nAnswer: 2, 31, 41, 197, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007917 rounded to six dps?\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4944 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 71?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 230 and -3410488?\nAnswer: 3410718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 69636 to the power of 1\/2, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*t = 9*l - 630, 0 = -l - 2*t + 112. What is the remainder when (0 - 12)*(-9)\/2 is divided by l\/(-18) - -7 - (-124)\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-112)\/21)\/(4\/(-228)). What is the highest common factor of 38 and g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 1. Let x(d) = 22*d + 4. Let r(s) = -77*s - 381. Let q be r(-5). Calculate q*z(l) + x(l).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -30, 4, -3 in descending order.\nAnswer: 4, -1, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 6:16 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-459)\/36)\/(-17))\/((-9)\/(-2))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315 and 36435?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 - -74. Solve -u - u + 2 = c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*b = 76 - 217, 0 = 4*p - 5*b - 184. Suppose 2*z - p = -1. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m*p**4 - 9*m*p**2 + 26*m*p - m + 172*p**5 wrt p.\nAnswer: -48*m*p + 10320*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (29 + -61 + 32 - (2 - 1)) - 82?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 592*f. Let g(o) = 3*o. Determine g(r(a)).\nAnswer: 1776*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101120 - -112001?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, l: 1, b: 1, n: 1, h: 5}. Give prob of sequence lg.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1543 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 30.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, w: 1, y: 1, o: 2, t: 3}. What is prob of sequence ywt?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 37393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(99)*-1 + sqrt(99) + 1 + sqrt(99) + -2 + -5)**2.\nAnswer: -108*sqrt(11) + 927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 9. Let c be p(-7). Let q be c\/(-3) + 2\/3. Suppose -m - b = 2*m - 69, 3*m - b - 69 = q. What is the remainder when m is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 375*f**2 - 8640*f - 63180.\nAnswer: -5*(f + 18)**2*(f + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3)*q**(-1\/6)*q**(2\/9)\/q**(-2) assuming q is positive.\nAnswer: q**(-17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3162, 3152, 3142, 3132, 3122, 3112?\nAnswer: 3102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-4)\/20 + (-1051416)\/(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by (-4)\/(-5) + (-556)\/(-30) + 59\/(-177).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*y)*(-1582*y**3 - 3 + 252*y**3 + 0 + 3).\nAnswer: 2660*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 8*s**3 + 7*s**2 + 7*s. Let x = 9 - 3. Let t(w) = -7*w**3 - 7*w + 3*w + 0*w**3 - 6*w**2 - 2*w. What is x*a(p) + 7*t(p)?\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v. Let w be 0 + -1*6\/3. Let f = 13 + w. Let k(g) = -11*g + f*g - g**2 + 5*g**2. What is t(k(l))?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0*y + 12, h = -4*y + 109. Suppose -101*w + 960 = -h*w. Is w a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 17. Suppose 0 = 4*x - 8*x + 68. Let o be u(x). Let l(q) = -q**3 + q**2 - q + 85. What is the units digit of l(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sw when two letters picked without replacement from srrstxwxrr?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -158 and -51?\nAnswer: 8058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -558 + 558 - x**2. Let a = -116 + 146. Let d(p) = -30 + 28*p**2 + a. Calculate v(d(k)).\nAnswer: -784*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 - 5 + c**3 - 240*c - 256*c + 494*c. Determine k(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66 * -0.04.\nAnswer: 2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3*-15 + -3. Let b = -60 + 63. Find the first derivative of v + 8 + 0 - b + 5*h**3 wrt h.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1221436?\nAnswer: 2, 47, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70720.51 weeks to nanoseconds.\nAnswer: 42771764448000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 28109535 + 698*d**2 + 4085*d**2 - 28109535. Let x(r) = 2*r. Calculate x(q(w)).\nAnswer: 9566*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 25. Suppose -2*c + 5*v + 55 = y, 0 = 5*c - 3*v - 91. What is the remainder when 30 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1340*-3824.\nAnswer: 5124160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -29*z**2 - 5511*z - 177. What is y(-190)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15433180?\nAnswer: 2, 5, 7, 110237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 70768?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154864 = -40*k - 42504. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 353871017 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2.1, -36, 0.171, -0.4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8*(-3)\/(72\/6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 100*t**2 + 112*t**2 - 11*t**2 - 59*t**2 as z*t + y + o*t**2 and give o.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*n**3 + 35*n**3 - 18*n**3 + (n**2 + n**2 - n**2)*(-1 + 1 + 2*n) + 0*n**3 - 3*n**3 + n**3 to f + d*n + x*n**3 + r*n**2 and give x.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 9036090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/((-98)\/108) - 2\/(-7). Suppose -6*d + a*d - 4 = 0. Solve -r - d*r + 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1114, -3\/2 in descending order.\nAnswer: 1114, 0.2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-6)*93\/(-248)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 7*h + 7. Let u(j) = 16*j - 5. Let n(k) = -7*k + 2. Let i(t) = 14*n(t) + 6*u(t). Determine -7*i(s) - 2*q(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 - 87*y - 590. Let x be a(-35). Solve 15*h = x*h - 9*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 86568?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a microgram in nanograms?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 3)*(f + 4126 - 4129 - 8*f) to the form i + l*f and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*t - 1294 = -8062 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 230.\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -10. Let v(p) = -62*p + 4. Let u be v(b). Suppose 3*c - u - 10 = 5*x, 2*c - 92 = -4*x. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(62\/(-61 - 1))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 44*y - 190. What is q(43)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17803, 17994, 18185, 18376?\n\"Answer: 191*r + 17612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12*(3 - (-287)\/14). Let v = q + 282. Solve v*u = 4*u - 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 11*f. Let g(y) = -10*y + 1. Calculate 7*g(a) + 6*q(a).\nAnswer: -4*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -843\/4373 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/5)\/(18\/(-4))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(20\/28)\/((-89)\/(-534))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.253 + 136.747. Let m = a - 121.9. Round m to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(-1))**(-8\/11))**25)**30)**(1\/73) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.973 rounded to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*v + 6*v. Sort v, 0, -4, -2.\nAnswer: -4, -2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 5:15 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 + 1.56. Let t = 3.26 - j. Sort -0.6, t, -2\/15 in decreasing order.\nAnswer: t, -2\/15, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8616417 is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 558 and 123039.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*b + 16. Let d = -0.03 + 0.07. Let g = 1.96 + d. Put -2, g, b in decreasing order.\nAnswer: b, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2 + 2271*v + 2274 = 0 for v.\nAnswer: -1, 758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + -1. Let j = 13 - 2. Let c = j + p. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t + 20. Let w be i(0). Suppose 5*k = k + w. Solve k*g = 18 + 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 13 = -f. Let r be f\/(-18) - (-3)\/6. What is the third biggest value in r, -2\/7, 2\/13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 5. Let j be (-2 + 0)*(1 + -2 - 0). Which is the closest to 0.1? (a) j (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*b = 144, 140 = -2*x - 21*b + 16*b. Suppose -4*i + 16 + 16 = 4*n, -n - 2*i = -10. Find the common denominator of x\/n*18\/35 and -5\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -196.6 and 54?\nAnswer: 250.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 - 2*d**2 - 3 - 2*d**4 + 2*d**2 - 3*d**3 + 2*d in the form c*d**4 + s*d**3 + b + n*d + y*d**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -r + 8, -5*x - 1 = -r - r. Suppose 3*g + 0*d = d + 13, 0 = 4*g - 4*d - 12. Let o be 5 + (-16 + 11 - 2\/(-1)). Solve -x = o*b - g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 237045\/3389 or 70?\nAnswer: 237045\/3389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56270491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1.6. Let k = 2.6 - w. Let x = 54 - 213\/4. Sort k, -1\/4, x in ascending order.\nAnswer: -1\/4, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.41 + 4.41. What is the nearest to a in 0.3, 4\/7, 0?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 8:40 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.78 or 171?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 0.704\nAnswer: 0.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -23. Suppose c*x - 10 = -3*w + 22, -4*w = 4*x - 32. Suppose -355 = -9*q + w*q. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 910275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/23, -2\/9, -1, 41.\nAnswer: -1, -2\/9, -1\/23, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101671 is divided by 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1115847.217 - 0.4.\nAnswer: -1115847.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from {x: 5, u: 5, g: 4, z: 2, p: 3, h: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -0.3, -52, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 29*p + 36. Let j(u) = 16*u + 19. Let z(w) = 11*j(w) - 6*s(w). Let y(n) = -4. Let i(q) = -2*y(q) + z(q). Let o be 6\/(-8)*2*-2. What is i(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 318 - -449.600588\nAnswer: 767.600588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/12 and -25\/3756.\nAnswer: 3756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -2\/11, -7, 1\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59127 = 25*p + 58877 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-3 + 120\/105 - 2\/14). Let k(r) = r**3 - 4*r**2 + 10*r - 24. What is k(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -498*w + 239*w + 260*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1240, 1238, 1242, 1258, 1292, 1350?\nAnswer: 1438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -0*c - 2*i, -3*c - 2*i + 12 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 5*i**6\/6 - 3*i**5\/2 - 37*i**4\/4 - 34*i**3\/3 - 6*i**2 + 227*i. Determine n, given that j(n) = 0.\nAnswer: -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 91 - 173 = 0. Let x = p + -66. Calculate the remainder when 129 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -18. Let q = 51.66 - 52. Let z = 2.66 - q. Sort z, -1, d in decreasing order.\nAnswer: z, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-21 + 10 - (-5 + 8)) - 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4453)\/(-657) + 4\/18\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2135*t - 15632. What is f(7)?\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - 382372213159?\nAnswer: -382372213128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 8. Let o be a(-7). Suppose -p - 16 = 4. Let y = o - p. Calculate the remainder when y is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 284419 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -10*l - 210, 193809*l = -2*z + 193810*l + 33 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26369 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 12*h**2 + 4*h - 2. Let p be a(-11). Suppose -p = u - 4*u. Calculate the remainder when (194\/(-6))\/((-10)\/30) is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 307534?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/7)\/((-39)\/26).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (1 - 2)\/3. Let w = -4049 - -4050. Which is the closest to w? (a) 1\/2 (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = 2. Suppose 0 = 3*w - s - 174. Is 29 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -626486 (base 9) to base 10.\nAnswer: -372192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 784188 and 1926.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r - 1. Let n(u) = u. Let x(c) = m(c) - 2*n(c). Let f be x(1). Suppose f*q + 584 - 1637 = 0. Is 32 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3320130929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 18 = 5*v + 3*y, -3*v + 4*y = -19 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 32*y**3 + 16*y**3 - 22 + (2*y**2 + 6*y**2 - 2*y**2)*(5 - 5 + y) in the form f*y**2 + v*y**3 + r + l*y and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 6*o**2 - 17*o + 10. Let c be h(8). Suppose c*w + 3*w = -15, 5*w - 150 = -5*z. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5344 and -5.\nAnswer: 26720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15670.8 + 17888. Let q = d - 2014. Let f = q + -144. What is f rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-8)*d)**(-1\/10)*((d**31*d)\/d*d)**(-7\/3) assuming d is positive.\nAnswer: d**(-445\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.03668kg in micrograms?\nAnswer: 72036680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -7*m - 61836, 9*m = 14*m - 2*a + 44169. Is -8837 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19)*-1 + -1)**2 + (sqrt(2736) + -5 - sqrt(19)))*-6.\nAnswer: -78*sqrt(19) - 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 5*n - 5*n**2)*(-2*n - 15*n + 2*n)*(-4*n + 4*n**2 + 4*n).\nAnswer: 300*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -8. Let s = 7 + n. Let o be (21\/4)\/3 - 3. Which is the biggest value? (a) o (b) 0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1492*y - 5 - 20 + 25 to v + k*y and give k.\nAnswer: -1492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5085 - 4240. What is the highest common factor of 455 and x?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9948 + -3.0052. Put s, -2\/9, -83, -0.02 in ascending order.\nAnswer: -83, s, -2\/9, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*(-1 + (sqrt(833))**2) + 5).\nAnswer: -12455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 15583*h**2 - 218345*h - 202761.\nAnswer: (h - 15597)*(h + 1)*(h + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*q - 18 = -0*f, -5*q = -25. Let m(h) = h**2 + 8*h + 10. Let b be m(-8). Let g = b - f. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -9*j**3 + 9*j**2 - 17*j - 26. Let b(q) = -5*q**3 + 4*q**2 - 9*q - 13. Let c(k) = -11*b(k) + 6*z(k). Let g = -4640 - -4630. Calculate c(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 10*o + 9. What is r(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 432 and 2943?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((12 - 0) + 23 + -27 + 18)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27526*f*l**2 + 5*f*l + 2*f + 1728*l**2 + 6*l - 3 with respect to f.\nAnswer: 27526*l**2 + 5*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1133517, -2266974, -3400363, -4533678, -5666913, -6800062, -7933119, -9066078?\n\"Answer: v**3 + 28*v**2 - 1133548*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 + 0*d**4 + 4*d**4 + (-7 + 7 - 6*d**2)*(-3 + 3 + 2*d)*(-47*d - 143*d - 156*d).\nAnswer: 4154*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -2*1 + 4. Let f = 81 + -77. Solve -b - 15 = -2*b - 5*r, f*b - l*r + 6 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -95*p**3\/6 + 3*p**2\/2 - 206*p + 4. Let n(a) = -a. Calculate x(n(c)).\nAnswer: 95*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 31*d - 75. Let p be g(28). Suppose -5*y = -3*y - 6. Solve 0 = -4*u - y - p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**3 + 32*p**3 + 14*p - 14*p + 20*p**3 + 5*p**3 - 5*p**3 - p**3 + (2*p - 1 + 1)*(1 - 1 + 2*p**2).\nAnswer: 59*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + 1398?\nAnswer: 13a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -12*w**2 + w + 1. Let b be l(1). Let r(z) = -z**2 - 16*z - 41. Let j be r(b). Which is smaller: 18 or j?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -136 - -56. Let g be (-463)\/3 + (-2)\/3. What are the prime factors of (-2)\/(g\/x - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 432723709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1998*k - 45. Let i(c) = -8*c - 5. Determine -36*i(n) + 4*v(n).\nAnswer: 8280*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-66)\/(-24))\/((-1)\/4) + 1. Is -75\/7 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58144305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-16)\/(-4) + -7. Suppose 2*m + 2*m - 44 = g. Let x(y) = -y**3 + 11*y**2 + 8. Let a be x(m). Calculate the greatest common factor of a and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.9 - -4.1. Let i be ((-1782)\/(-252))\/(-9) - (4\/(-7))\/2. Let y = -2 + 2.5. What is the closest to y in i, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11841730 is divided by 501?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-66)\/(-12) + -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 0*u**3 - u**2 - 2*u**3 + u**3 - 12 - u. Let b be x(0). Let v be b\/10*(-10)\/4. Calculate the highest common factor of v and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1108, 0.\nAnswer: -3, 0, 1108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 90\/(12\/4) + 2. Let l = -16 + g. Let d(h) = 25*h - 6. Calculate the remainder when d(4) is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03148 - -0.0368. What is u rounded to four dps?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 7*c. Suppose 0*p - p = c. Solve 5*n + 3 - 8 = p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2539.14853 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n**2 - 4*n - 7. Let g(l) = -22*l**2 + 10*l + 18. Calculate -5*g(w) - 12*s(w).\nAnswer: 2*w**2 - 2*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.9 + -27. Which is the closest to 2? (a) h (b) 0.2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -10. Let p(c) = -c**2 - 12*c + 13. Let f be p(h). Solve 3*t + 5*a = -f, -3*t + 8 = -5*t - 3*a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89298946 is divided by 89298942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 11*q**2 + 96*q - 149. Let b be c(-4). Solve 0 = b*z - 0*z - 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0602 + 0.1398. Let k = -0.4 - -0.4. Let h = -0.2 - k. What is the third smallest value in h, i, -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6*k + 6)*(8 - 7 - 13)*(0 - 2 - 2*k**2 + 4).\nAnswer: -144*k**3 + 144*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -33*f - 70 - 195 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4886, -9, 4 in descending order.\nAnswer: 4886, 4, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.2 (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1100 - 453. Suppose -7*m - g = -1956. List the prime factors of m.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150463 (base 10) to base 12.\nAnswer: 730a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10965 divided by -5\nAnswer: -2193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1))**20*(f**(2\/7))**(-7) assuming f is positive.\nAnswer: f**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 r when three letters picked without replacement from rprfprprr?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 39*o**2 + 10. Is x(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 448?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/(-20))\/(-3)*110\/(-165). Let v = -6 - -6.3. Let q(o) = 5*o**3. Let y be q(-1). Put y, s, v in ascending order.\nAnswer: y, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*b + 49*b - 38*b - 46*b to n + s*b and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2835 = -28*v. List the prime factors of v.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1100 + 1100. Let r(j) be the third derivative of -1\/72*j**4 + o*j - j**2 - 1\/45*j**5 + 1\/360*j**6 + 0 + 2\/9*j**3. Suppose r(v) = 0. What is v?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*y**2 + 2*y + 5*y**2 - 10*y - 6*y - 25*y**2 - y**4 to the form k*y**3 + z + d*y**4 + o*y**2 + c*y and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.438935 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9626 rounded to the nearest one hundred?\nAnswer: -9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2500 - 4999\/2. Which is the third smallest value? (a) w (b) -29 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**6\/5 - y**4\/24 + y**2 + 2*y. Let g(q) be the first derivative of m(q). Is g(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 652 + -661. What is the second biggest value in 13, j, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 97*r. Let o(c) = -3*c. What is i(o(m))?\nAnswer: -291*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5 = s. Suppose 0 = -5*f - 4*i + 5*i + 7, -i - s = -2*f. What is the least common multiple of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 91*i + 640. Give g(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*y - 107*y = -2. Is y at least 1\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008539 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 4. Let u be j(3). Suppose -t - 5 = -u*t. Let f be ((5\/(-2))\/t)\/2. Which is the nearest to f? (a) -2 (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102 + -19. What is the third derivative of -15*v**4 + 14379*v + 4*v**3 + u*v**2 - 14379*v wrt v?\nAnswer: -360*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 4:57 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-3 - -3)) + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 683 = 4*v + 4*u, -4*u = 5*v - 1117. Suppose 0 = -233*b + v*b + 1752. What is the remainder when b is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 35. Suppose -t*s = -s + 30. What is the hundreds digit of 0 - s\/45 - (-1958)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3671?\nAnswer: 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 6:01 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, m: 7}. What is prob of sequence mum?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 6. Give c(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlun when four letters picked without replacement from uunuuuuuuuunnll.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 950559825, 1901119650, 2851679475, 3802239300, 4752799125?\n\"Answer: 950559825*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m. Suppose 0 = 35*a - 22*a - 183599. Let x(c) = -a - 184*c**2 + 14123. What is l(x(w))?\nAnswer: 368*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - y - 15, 16 = 2*y + 26 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d - 23*d = -120. Let p(k) = -16*k - 22*k - 23*k + d*k. Calculate p(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1 + 9*u**2 + 84*u - 84*u.\nAnswer: 9*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 5:47 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5706*s - 212. What is the ten thousands digit of j(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10, -32, -74, -142, -242, -380?\n\"Answer: -w**3 - 4*w**2 - 3*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -102\/197 or -2?\nAnswer: -102\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 663 and -6.3978.\nAnswer: -4241.7414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 368 = 11*o. Let y = -52 - o. Suppose 0 = y*t - 41*t + 7. Solve 3*x - 1 = -t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -11 + 19 + -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 99?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Suppose -4*k = s + 1 - 5, -3*k = -m*s + 12. Let w be (1 - -1) + s + 0. Solve 3 = -4*c - 5*f - 0, -4*c = 2*f + w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (30\/40)\/(6 - 11469\/1912) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 20*p**2 - 32*p + 7. Let z be l(1). Sort z, -128, -19, 1 in descending order.\nAnswer: 1, z, -19, -128","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - (-1 + sqrt(1300))) + 0 - (sqrt(1300) + 0 + -3) - 2*5*(sqrt(1300) + -1))**2.\nAnswer: -3080*sqrt(13) + 157496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 9936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/17632 and -7\/22040.\nAnswer: 88160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 26722?\nAnswer: -10688.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12084 + 910. Does 73 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*h - 4693038 = 1057488. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v + 80 = 15*v. Let u be 5*2 + v + -6 + 14. Solve 5*y + 1 = -14, -2*r - 2*y = u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10757 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-10692)\/30888)\/(0 + (-6)\/26)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 61\/(-9) + (3 - (-87)\/(-27)). Let a = -6 - -2. Let t = a - 1. What is the third biggest value in t, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 98. Suppose -3*p - 2*p = 0. Let w be m(p). Let k = -19 - w. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 + 800*s - 798*s + 52*s**3 + 48*s**4 - 1 - 47*s**4 as f*s**4 + r + q*s**3 + y*s + m*s**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-14))\/((-22)\/(-231))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -631.6 + 631.6. What is the closest to -1\/4 in 19, d, 0.09, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -355.\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 6*n - 4. Let l(y) = -6*y**3 + 5*y**2 + 20*y + 22. Let b(z) = -3*z**3 + 3*z**2 + 9*z + 11. Let a(f) = -7*b(f) + 4*l(f). Give -4*a(j) - 11*v(j).\nAnswer: j**3 + 4*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122300, 122295, 122288, 122279?\nAnswer: 122268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 8 = v, -v - 23 = 5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 1. Suppose b = t*l - 15, -4*b - 5*l = -b - 35. Solve b*r + 20 = -4*g, -g - 12 = 3*r + g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*t - 0*a - 120, -a = 2*t - 54. What are the prime factors of t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 47*u**2. Suppose 0 = -15*k + 573 + 1077. Let h(f) = 1 - 1 - k*f + 107*f. Determine h(d(j)).\nAnswer: -141*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17652*t**3*v**2 - 544*t**3*v - t**3 + 46*t**2*v**2 + 103*t**2*v - 40*t**2 + t*v**2 + 1 wrt t.\nAnswer: 105912*v**2 - 3264*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -593930 times -6.8\nAnswer: 4038724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 14 - 34 = 0, -4*i + m - 16 = 0. Let o = 1 - i. What is the units digit of 1 + o - (-1 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 9:27 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2795, -5565, -8335, -11105, -13875, -16645?\n\"Answer: -2770*m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 5*n, 0 = 25*n - 28*n - 12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*j**2 + 128*j**2 + 511 - 511 + 0*j + 0*j.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(288)*-2 + (sqrt(90) - (2*sqrt(90) + sqrt(90)))\/sqrt(5))\/((sqrt(324)*2 - sqrt(324))*-5))*5)**2.\nAnswer: 50*sqrt(2)\/3 + 275\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10045109 less than 10045109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -256*d - 32. Suppose 0 = -a - 30 + 29. Is h(a) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3560943225 to the power of 1\/2, to the nearest integer?\nAnswer: 59674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.709103 centimeters in nanometers?\nAnswer: 37091030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 11. Let w be f(6). What is the common denominator of (-1308)\/(-168) + (-1 - 2) and w\/(-2)*(-74)\/(-80)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 5*y + 8. Let f be (-3 - 2)*(-4)\/5. Let w be p(f). Solve 4*z - w = -16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -218\/1941927?\nAnswer: -218\/1941927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 - 2*c. Let a be s(-2). Let m = 32.3 - 32.4. Do m and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*d = 8. Suppose 2*m + s = 50, d*m - 38 = -s + 62. Let q(n) = -n + 10. Let x be q(0). Calculate the highest common factor of m and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*h - 20, -2*t + 7*h - 10 = 3*h. Let a(l) = 7*l**3 - 3*l**2 + 13*l + 4. Let y be a(t). What is y rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 13*w**2 + 6*w - 12. Suppose -7 - 4 = -a + 2*k, 3*a + k = 5. Suppose -18 = 2*s + y, -4*y + 24 = -s - a. What is the tens digit of u(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 66. Let a = 29 + k. Let t be (-3)\/a*(-72)\/(-27). Solve -1 = t*l - 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1 - 1 + 5 + 0 + (7 - 3 - 3)*(2 - 6 + 2) + 0 + 0 - 3)*(-2*g - 2*g + 3*g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*r**2 + 6*r**2 + 6*r**2 to the form c*r + k + y*r**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.955 - -0.045. Let o = 20.8 - 21. What is the closest to o in -0.1, x, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(187) - 2*sqrt(187)))\/((2*sqrt(99))\/sqrt(9)) - (2 + -5 + (sqrt(612) + 4 - sqrt(612)))**2.\nAnswer: -sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*s = 193, -5*w + 4*s - 3*s = 314. Let q be (-11)\/(-14) + 18\/w. Is q less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -11 + 6*u + 0*u**2 + u**2 - 3 + 2*u. Let t be w(12). Let c = -155 + t. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1662*g + 1103*g + 416 - 416 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-359296.\nAnswer: 143718.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (138\/115)\/((-18)\/120).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p**2 - 15*p - 26. Let x(i) = 3*i**2 + 12*i + 25. Let g(h) = -4*t(h) - 5*x(h). Let y(n) = -2*n. Give y(g(v)).\nAnswer: -18*v**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53803, -51304, -48805, -46306, -43807, -41308?\nAnswer: -38809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -457*j + 86. Let p(x) = 4*x**2. Give m(p(i)).\nAnswer: -1828*i**2 + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5050 + -3950. Calculate the smallest common multiple of 50 and u.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 w when four letters picked without replacement from jwcwcwccccjc?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -185 less than -183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4 - 17*z**3 - 80*z**2 - 100*z = 0.\nAnswer: -10, -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7602264*h**4 - 2*h**3 + 15146721*h**2 wrt h?\nAnswer: 182454336*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -5*z + 4*f, -15 = 5*z + 15*f - 10*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16046*45.844.\nAnswer: 735612.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113*b**3*w**6 - 4*b**3*w**3 - 14*b**3*w**2 - 8*w**2 - 3 wrt w.\nAnswer: 13560*b**3*w**3 - 24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 509, 436, 319, 164, -23, -236, -469, -716?\n\"Answer: s**3 - 28*s**2 + 4*s + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 60 = -5*k - 4*r, -3*k + 5*r + 36 = 0. Let q(w) = -w**2 + 12*w + 5. Calculate q(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.4, 1, -19749 in decreasing order.\nAnswer: 1, 0.4, -0.4, -19749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -25. Let i be (-15)\/(-12) - (-3)\/r. Solve -3*u - 5 = -o + 5*o, -o = -i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/3 of a hour in seconds?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + -3 + 339 + -5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*g**6 + 27932*g**3 - 10*g**2 + 1958*g + 6 wrt g?\nAnswer: 1920*g**3 + 167592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/39)\/(14\/12)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4930*u + 27855 - 358165 for u.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 1:21 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 94\/(-48) + 3. Let c(g) be the third derivative of 0 - 1\/12*g**3 - w*g**4 + g**2 - 1\/120*g**5 + 0*g. Factor c(t).\nAnswer: -(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -256*q + 257*q - 191. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzzhzz. Give prob of sequence zh.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4*l = 432. Let p = 176 - l. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + -1. Let b be (-8)\/m + 4\/6. What is the greatest common factor of b and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 + (4 - 61 - -116)\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m + 12*m = -15. Suppose 97 = -4*u - 23. Let i = -15 - u. Solve 0 = m*v + k + 11, 5*v = 5*k - 0*k + i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 631, 643, 667, 709, 775, 871?\n\"Answer: g**3 + 5*g + 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b - 6. Suppose -3*c - 55 = -8*c. Let d(a) = -15*a - 11. What is c*l(v) - 6*d(v)?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9055072 divided by 2?\nAnswer: 4527536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 714751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.11 - 1.11. What is the nearest to z in -6, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 6 = 0, 7*a - 52 = -25*i + 33*i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-725)\/(-1650) + (-135)\/1782 + (-2)\/22.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3217242)\/(-155320) + (-83)\/4.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362238753 to the power of 1\/3, to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336 = -575*p + 1485 + 479 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7010 divided by 1402\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) -0.4 (c) 11 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y**4 - 2612*y**3 + 20968*y**2 - 37600*y + 12800 = 0 for y.\nAnswer: -80, 4\/9, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2, 5*k = -n + 919 + 1704. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/7, -8, -0.5, 0.03 in descending order.\nAnswer: 0.5, 0.03, -2\/7, -0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -130894\/49 - -2671. Is -1 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30672 and 42.\nAnswer: 214704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1390483612 to the nearest integer?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + t = 2245, 5*m - t - 2022 = 773. Calculate the remainder when m is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17110, -17108, -17104, -17098, -17090?\n\"Answer: p**2 - p - 17110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 42 - (-3 + 6 + -3 - -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(396\/(-33)*3\/(-8)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 0*w**4 - 2*w + 0*w**2 - 1\/20*w**5 - 2\/3*w**3 + 0. Find the second derivative of s(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkmmkmmmkk. What is prob of picking 1 m and 1 k?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-1261)\/3)\/(128\/1536))\/(0 + -1) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122*n*z**5 - 2*n*z**4 - n*z**2 + 29*n*z - 36*n wrt z?\nAnswer: 2440*n*z**3 - 24*n*z**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -73.\nAnswer: -73, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 253?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a decade in years?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7634 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 16*q**2 - 15*q + 1. Suppose 10*l - 24*l - 210 = 0. What is y(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 760 is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4948 is divided by 56.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1. Let t(i) = -3. Let g(a) = 4*q(a) + t(a). Let p(j) = j - 5. Suppose -10 = -5*h - 15. Calculate h*p(d) - 5*g(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e + -16?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2571268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+54155.188\nAnswer: 54155.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - 38*c + 2. Let y be z(0). Suppose -3*g + 9 = 0, -b + g = -6 + 5. Solve 2*d + 3*l = y, -b*d = d - 4*l + 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -1. Calculate the highest common divisor of t and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/71 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 20*k**2 + 2*k - 2. Suppose -z - 5 = b, -5*b = 4*z - z + 23. Let y be o(z). Solve 2*x - y = -12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afaf when four letters picked without replacement from afaaafa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2 + o**2 + 2 + 0*o**2. Let p(i) = -4*i**2. Calculate p(b(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/7*x**2 + 4\/7*x.\nAnswer: 2*x*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*i**4 - 1682*i**3 - i**2 - 56*i?\nAnswer: -120*i - 10092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**6\/40 + a**5\/10 - a**4\/4 + 5*a**3\/6 + a**2 - 209*a. Let d(u) = 5*u**3 - 11*u**2 + 11*u - 9. Determine -11*b(q) - 6*d(q).\nAnswer: 3*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 528045743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -499 less than 57682.4075?\nAnswer: 58181.4075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68370 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(125) + 1)*6 - (2*(sqrt(125) - (sqrt(125) + -2*sqrt(125))) + -2*-2*sqrt(125)))**2.\nAnswer: -360*sqrt(5) + 824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m - 77. Let w(q) = -86*q + 1. Let b(a) = -3788*a + 44. Let t(i) = 4*b(i) - 176*w(i). What is c(t(f))?\nAnswer: 32*f - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 0*k - 2*k)*(2 - 2 + 2*k)*(-4 + 4 + 1).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42*(-18)\/567*(-42)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 20 = -2*i + 5*p, -20 = 5*p. Solve -3*f = -i*f - 4*q - 31, 4*f = -2*q + 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1934920464 to the nearest integer?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 - 58*t**2 + 59*t - 18. Let f be m(-30). Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1887 + 1882. Sort -1, -26, 1, d.\nAnswer: -26, d, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53520 is divided by 1982.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**3 + 2*b - 6. Let r(d) = 5*d**3 + 2*d - 7. Let m = -96 - -101. Determine m*r(g) - 6*i(g).\nAnswer: g**3 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153b (base 13) to base 2.\nAnswer: 110000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 139*b**4 - 158?\nAnswer: 556*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - 192?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -23, 35085 in decreasing order.\nAnswer: 35085, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32550 - 21139. Let z = -6562 + s. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 6*d - 2. Let y be t(-6). Let f(u) = 13*u - 10. Let m be f(-2). Let q be 60\/117 + 24\/m. Sort q, -0.4, 0.3, y in descending order.\nAnswer: 0.3, q, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000781221 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 6*c + 5. Let o(a) = a**3 - 2*a**2 - 9*a - 2. Let r be o(4). Calculate j(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0.1. Let t(n) = -n**3 + 5*n**2 - 3*n - 4. Let g be t(3). Suppose -a + 4 = 4*s, -a - 5*s - 1 = -g. What is the biggest value in -0.4, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.03, -2.1, 0.2?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*6\/(-20)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 11:57 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.018 (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idm. What is prob of sequence mi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -697957, -1395913, -2093869, -2791825?\n\"Answer: -697956*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/5, 0.05, -6.\nAnswer: -6, -2\/5, -0.1, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 10 - 4 = 0, -2*j = 5*h - 54. Suppose 0 = -11*z - 3011 + 3143. Solve z - h = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -5. Suppose 3*o = -4*v + d, 6*v + 5*o = v + 5. What is the tens digit of v*58\/12*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 3, g: 2, a: 1}. Give prob of sequence gq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 - (-9)\/6. Is -1 - (-2)\/(h\/15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 36 = -14*i. Let l(y) = 43*y**2 + i*y**2 - 80*y**2. Let k(d) = d**2. Determine l(k(u)).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x**11\/x)\/x)*x**(14\/5)*x*(x**(10\/11)*x*x)\/(x**(5\/2)*x) assuming x is positive.\nAnswer: x**(-527\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 188*-2547\nAnswer: -478836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 - -386. What are the prime factors of 6*f\/(-3)*(-15)\/10?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.038, 3, -0.1, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68\/201? (a) 1.3 (b) 0 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 5:35 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36.28 - -35. Let s = d - 0.12. Let l = -1.4045 - s. What is l rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (-16)\/(-12)*-6. Let c be (-2)\/(-5) + 13\/r. Solve -c = -0*y + y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3)\/6)\/((-3)\/42) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 169*j**3*k - 1128*j**3 - 13*j**2*k - 2791*j*k - 106*j - 3*k wrt j?\nAnswer: 1014*j*k - 6768*j - 26*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-110)\/15*(-6)\/2. What is the greatest common factor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.049293832274 and -3?\nAnswer: 3.049293832274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*b**2*j**2*t**2 + b**2*j*t**2 - 15*b**2*t**3 + 13406*b**2*t**2 - 8130733*j**2*t**3 + 5*j**2*t wrt t.\nAnswer: -90*b**2 - 48784398*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/2500 and 83\/3500.\nAnswer: 17500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1150 divided by 230.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -863*w**3 + 431*w**3 + 434*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000147875344 to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 1055?\nAnswer: 14\/1055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 804368?\nAnswer: 804368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**4\/4 + 5*j**3\/3 + j**2\/2 + 7*j + 12. Let a be s(-5). Solve 2 - 12 = a*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) - -2*sqrt(68))*-2) + sqrt(68))\/(sqrt(512)\/sqrt(8)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 11891 - 11891 - n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-2 - (3 - 1) - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skk when three letters picked without replacement from kkkkkskk?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5751 * 5.\nAnswer: 2.8755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 487702 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.521 rounded to two decimal places?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 1. Let w(f) be the third derivative of f**4\/6 + 2*f**3\/3 + 5*f**2. Let d(i) = 3*o(i) - w(i). Calculate d(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66809\/2469195 + -2\/66735. What is the smallest value in k, -5, 0.08, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/1)\/(6\/(-2))*50\/(-50).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -3, -9, -1.\nAnswer: -9, -3, -1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21377*c + 21372*c + 16 = 2*b, -6*b + c + 48 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/150*(-6)\/(-9)*25*(-3)\/39?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - -14. Suppose b + 6*l = 2*l - 12, -h = -3*b + 5*l. Let w = 18 + -21. Sort w, b, -2 in ascending order.\nAnswer: w, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -11, 3, -8, 6, 55 in descending order.\nAnswer: 55, 6, 3, -3, -4, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 5, -0.051, 2\/35, 2?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (-34 + 5 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 19*h**5\/120 + 37*h**3\/2 - 2*h**2 - 83. Let s(o) be the first derivative of x(o). Let m(r) = -8*r. Determine m(s(u)).\nAnswer: -152*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -253926 to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3267 = 109*g + 13*g for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 443 - 419. Solve -136 - 32 = -p*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -184356.324 times -0.4\nAnswer: 73742.5296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8575*w**2 - 2*w - w + 3*w.\nAnswer: 8575*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30 + -61b3?\nAnswer: -61e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179316 equal to 1179149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000210102101 (base 3) to base 15.\nAnswer: 2c473a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1429 (b) -0.1 (c) 0.5 (d) -1 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*r + 1278 = 718*r - 232*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - ((sqrt(2299)*-2)**2 + 5)) + -1 - (2 + ((sqrt(1216) - (sqrt(1216)*-2 - sqrt(1216))*-4) + sqrt(1216) - sqrt(1216))**2).\nAnswer: -156340 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 294*r + 2753 = 3929. Suppose -2*s - 4 = 2. Suppose -5*h - 4*w = 6 - 1, 2*h + w = -2. Put r, -2, s, h in ascending order.\nAnswer: r, s, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13581 (base 9) in base 2?\nAnswer: 10010000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -1492, -4, 0.\nAnswer: -1492, -4, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-294)\/(-77) + (-6)\/(-33). Suppose 6*n - n - 15 = u, -3*u = -r*n + 23. Solve -n*v - 1 = -9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 - 134*d**2 - 126*d + 8. What is z(-66)?\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/32837 + 6239021\/295533. Let z = n - 2488\/117. Let y = -0.02 + 0.42. Which is the third smallest value? (a) y (b) 4 (c) 2 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19155752.55 - 69522.25. Let a = -19225225.8000092 - y. Let i = a - 49. What is i rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/72)\/((-871)\/203814)*(-3)\/26?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3723)\/187 + (-10 - (-1308)\/132)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**5 - 594*s**4 + 3*s + 285?\nAnswer: 20*s**3 - 7128*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c**2 - 16*c - 32. Let j(w) = w**2 + 3*w + 6. Calculate 3*j(k) + l(k).\nAnswer: -3*k**2 - 7*k - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87 and 928?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-118)\/6 - 6516\/(-362)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 6) to base 5.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**10\/7560 + v**7\/1260 - v**4\/6 + 3*v. Let k(i) be the third derivative of j(i). Find the third derivative of k(y) wrt y.\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 + 7*b + 2. Let d(n) = 2 - 4*n - 1 - 2*n**2 - 2. Let z(t) = 5*d(t) + 3*h(t). Let x be 11 - (10 - 46) - 48. What is z(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1908*t**2 + 10*t + 690*t**2 - 3615*t**2 + 500*t**2.\nAnswer: -4333*t**2 + 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 14 = 3*i, -6*i + 10 = 2*o - 5*i. Let c be (6\/o)\/((-4)\/(-104)). Suppose 4*s = c + 9. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2765322 divided by 6\nAnswer: -460887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4284 bigger than -5183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 235447 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 3*j - 15. What is the second derivative of 3*y - 38*y**j - 25*y - 6*y + y wrt y?\nAnswer: -228*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppphpppapppphpphp. What is prob of picking 2 p and 1 h?\nAnswer: 117\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187705?\nAnswer: 5, 7, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 72, -6, -1\/70?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, u: 2, w: 4, j: 2}. What is prob of sequence duuj?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = 2*m. Suppose 2 = 2*j - m. What is the first derivative of 2 - j*r**3 + 2 - 2 wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*a = -41*a - 12245 - 12731. Calculate the remainder when 1755 is divided by a.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a**3 + 289*a**2 + 269*a + 158. What is b(25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from unnnnuu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/2))**47)**(-6\/11)\/(a**2\/a*a*a**(4\/9)\/a)**(-3\/20) assuming a is positive.\nAnswer: a**(-25237\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2. Let l(y) be the third derivative of 117\/10*y**5 + 5*y**2 - 5 + 0*y**3 + 0*y**4 + 0*y. Give l(q(v)).\nAnswer: 2808*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 626*o - 307*o - 567*o.\nAnswer: -248*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 - -191\/3. What is the second biggest value in 1, -2\/15, -4\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 23110.\nAnswer: 92440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-2 - -7) - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*2\/20 + 896\/70. Suppose -2*r = -7*r + 15. What is the highest common factor of d and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 700 + -699.8265. Let y = 0.0535 - b. Are -11\/3 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867441225?\nAnswer: 3, 5, 7, 31, 53299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 50, -0.5, -5, 1.2, 0.3?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 10 + -7 + -16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 21 = s - 2, 0 = 5*s + 3*m - 76. Let a = s + -13. Let d be -10*(-2)\/4*1. Sort d, 0, a in increasing order.\nAnswer: 0, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 7*m**2 + 8. Suppose 35 + 49 = -12*u. Calculate z(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -200*z**4 + 4563409 - 8*z**2 - 4563408 - 214*z**4 in the form i*z**2 + r + p*z + x*z**4 + u*z**3 and give x.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -646 + 643. Let g = 2.5 + -3. Which is the smallest value? (a) i (b) -0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1502.2512 + -2.6488. Let r = h - -1447. What is r rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 64 - 6 = -22. Calculate the smallest common multiple of i and 712.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from {z: 4, q: 10, e: 1, c: 4}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464149 is divided by 14504.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -29 in ascending order.\nAnswer: -29, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 6:56 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h + 3 - 9. Suppose 38 = 46*u - 54. What is the nearest to h in -1, u, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.422128394 rounded to 2 decimal places?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44926?\nAnswer: 2, 7, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 2\/5 (b) -1\/6 (c) 2 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 11*t. Let n be (-5*(-22)\/25)\/(8\/60). Let q(u) = -177*u. Give n*c(o) + 2*q(o).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40835867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 3:18 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124 + -121. Sort -1, 8, y, 0 in descending order.\nAnswer: 8, y, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + k = 102, -3*l - 57 + 338 = -4*k + 106 for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x - 351. Let t(c) = c + 162. Let i(y) = -13*t(y) - 6*z(y). Let h(o) be the third derivative of -o**5\/30 - 11*o**3\/6 + o**2. Give h(i(k)).\nAnswer: -2*k**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3712204, 3712203, 3712202, 3712201, 3712200, 3712199?\n\"Answer: -b + 3712205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -110221 (base 4) in base 16?\nAnswer: -529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 9:07 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64479599.89658 + 64478767. Let y = r + 758.8976. Let w = -74 - y. Round w to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -40*f - 482. Let g be w(-12). Put 2, g, 5, -49 in increasing order.\nAnswer: -49, g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (43 - 11)) + 5 + -1 + 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-24) + (715\/(-39))\/(-11)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 9 - 7*y + 6*y + 4*y**2 + 2*y**2 - y**3. Let h be g(5). Let c = 75 + h. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750539282.\nAnswer: 2, 101, 3715541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -116*g - 453. Determine n(-12).\nAnswer: 939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*j = m - 10, 5*m - 3*j = 6. Suppose 5*n - 1020 = -m*n. Is n a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3697*g**6 + 326*g**2 wrt g?\nAnswer: -443640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589878177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21\/95 or -0.1102?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2542682365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 6*q**2 + q + 1. Let x be w(6). Suppose 3*v + 3*r = 0, v - x*r + 2*r = 0. Let u be (0 - -1)\/((-1)\/2). Is u at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -246, -361, -460, -537, -586, -601?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15403942\/92950921 - -114\/73363. Let n = q + 143924\/290143. Let g = 20377\/2748 - n. Find the common denominator of g and -111\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, x: 10}. Give prob of picking 4 x.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 2*s + 19, 9 = -3*l - 24*s + 27*s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79353 and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 6*f + 100 = 5*s, -2*f + 4*s = -74 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -424*p**3 + 423*p**3 - 19*p - 9 - 12*p**2 + 7*p. Let n be m(-11). Let b = 11 - 9. Solve -6*j + 3*j - z = -14, n*z = -b*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -5*d**3\/3 + 10*d - 3311. Let k(g) = -6*g. Determine k(n(f)).\nAnswer: 30*f**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -9. Let f be (o\/(-10))\/(5\/(-100)). Let j = f - 4. Solve 2*n + 3*n = -j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 + 1368*q**2 - 40912*q + 195360.\nAnswer: 4*(q - 22)*(q - 6)*(q + 370)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 5, j: 1, x: 3, c: 1}. Give prob of picking 1 r and 1 u.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47.824 - -46.9. Let a = -1.1 - h. Let f = -0.124 + a. What is the nearest to -0.1 in 4\/3, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*w - 29*w + 37 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cehsxhie. What is prob of picking 1 c, 1 s, and 1 i?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41 and 5522.\nAnswer: 226402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*h**2 - 3 + (-3 + h + 3)*(-h + 4*h - 5*h))*(9630 + 10388 - 3705 - 1869).\nAnswer: -57776*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 y, and 1 x when three letters picked without replacement from hbyyuhx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/210*2\/((-8)\/(-10))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 4*z - 12, -2*j + 3*z = -1 + 18 - 22 + 21 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3 + 2*a**2 + 3 - 3*a**2. Let z(b) = -8*b + 5. Let w(l) = 7*l - 4. Let v(t) = -5*w(t) - 4*z(t). Give v(c(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -229344 divided by -12?\nAnswer: 19112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/9 - 12320222*a\/3.\nAnswer: -2*a*(a + 18480333)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - -11*15\/(-57). Which is the second smallest value? (a) 1 (b) r (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -10 + 4. Suppose -8 = -2*s + 8. Calculate the least common multiple of u and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 3, l: 10, p: 3, j: 3}. What is prob of sequence re?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6930 is divided by 243.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2328)\/120 + (-19)\/(-1). What is the nearest to s in -0.1, -3, 18, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 575564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 - 7*t**2 + 2*t. Let u(f) = -3*f**3 - f**2 + f. Calculate a(g) - 2*u(g).\nAnswer: 4*g**3 - 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - -5 - (-5 + 1). Suppose 3*p = k*p - 162. Calculate the remainder when 51 is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/4, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - 2*m + 2*m)*(2*m**2 - 6*m**2 + 2*m**2) + (5*m**5 + 5*m**5 - 3*m**5)*(-1 - 4 + 6) + (1 - 2 + 0)*(441*m + 20*m**5 - 441*m) - 2*m + 2*m + m**5.\nAnswer: -10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nannnannaaannn.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182 divided by 39245.\nAnswer: -182\/39245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68946996?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 - 1. Which is the smallest value? (a) -2\/5 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 26 = 2*n - 7*n, 3*n = -15. Let c = -6 + y. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590618?\nAnswer: 2, 7, 42187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (43 + 134)\/((-3)\/(-199)).\nAnswer: 59, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 9*j**2 + 5*j + 7. Let b be -2 - -2 - (3 - -4). Is r(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6 (b) 2\/7 (c) 4 (d) -2\/365\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 25 - 5 = 0. Suppose m = 3*j - 5*p, -7 = -5*p - 22. Solve 2\/9*y**2 + 0*y + j = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 + 0*j**5 + 3*j**5 + (j**4 + 5*j - 5*j)*(2*j - 5*j + 7 + 6*j).\nAnswer: 4*j**5 + 7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*f - 44, 0 = 3*c + 2*c + f - 265. Let v = c - 53. Let x = 112 - 107. Sort v, -6, x, -2 in ascending order.\nAnswer: -6, -2, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 1725.\nAnswer: 1727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/16 - (-1)\/(-4). Suppose -l*q - 200 = -7*q. Round q to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*q + 85948 = -50*q - 306092. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 259*l**2 - 9836*l - 364. Give r(38).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 14 + 3 - 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a week in minutes?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**4\/4 - 2*r**3 + r**2 + 5*r + 760. Give d(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -273727.96 rounded to the nearest 100?\nAnswer: -273700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-9 - 9) + -7 + -1 + -1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184 and 802722.\nAnswer: 73850424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + v - 4)*(0 - 5 + 2) + (1 + 0 - 3)*(3*v - v + 0*v) as s*v + p and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 71. Let z(b) = -5 + 2 + 3 - 10*b + 13*b. Determine p(z(s)).\nAnswer: 9*s**2 - 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35705 - 35697. Solve -4*a = -2*s + 8, a = -2*s + m - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490603?\nAnswer: 17, 28859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/17 - 21378*f**3\/17 - 1073900*f**2\/17.\nAnswer: 2*f**2*(f - 10739)*(f + 50)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2781, -2768, -2725, -2652, -2549, -2416, -2253?\nAnswer: -2060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -23. Suppose -3*k = -2*h + h + 19, -h = 2*k - 4. Calculate the smallest common multiple of r and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-405) - (-28900)\/12852?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -1122510?\nAnswer: 1122515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/18 - 640\/36. Let n(q) = q**2 + 18*q + 2. Let x be n(j). Calculate the greatest common divisor of x and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, u: 3, d: 3}. Give prob of picking 2 k and 2 d.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w = 6*w - 14193. Let z = w + 1400. What are the prime factors of z?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 5*m**2 - 6*m + 3. Let y be w(6). Let i = 2 - 8. Let u = i + 8. Solve -y*h + u*h = -2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1106161920 divided by -152280.\nAnswer: -7264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*t + 4368, 5*t - 5506 = -5*q - 1201. What is the remainder when q is divided by 43?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/15, -2\/9, 0.3, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 + 2*v**2 + 2*v + 1. Let y be g(-1). Suppose 37 = 4*b + 2*p + y*p, -p = -4*b + 7. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/(-42) + (-12)\/3)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-42)\/(-24))*(-1)\/(-3)*12\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -152 - 4?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8003, 8000, 7997, 7994?\nAnswer: 7991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 4*a + 2*a)*(13 + 9 - 4)*(1 + 2 - 4)*(-268*a - 363*a + 189*a).\nAnswer: -15912*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -216 + 169 + 4*6.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 1)*(-4)\/6. Let a = 0 + f. Find the second derivative of 0*v**2 - v**5 + 0*v**a + v wrt v.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 306713282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = r - 12. Let p(c) = 16*c**2 + 4*c + 3. Let q be p(4). Calculate the remainder when 2\/(-12) + q\/30 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 e when four letters picked without replacement from {s: 1, e: 1, w: 2, x: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*j - 3*y - 7, -3*j + 4*y + 19 = 0. Let x(f) = -j*f - f**3 - 3*f**2 - f**2 + 2*f. Calculate x(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753952.\nAnswer: 2, 23561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j - 81*j**2 + 4*j**5 + 95*j**2)*(1 - 1 + 1).\nAnswer: 4*j**5 + 14*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1848*o**2 + 18*o + 25. Is q(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11*x**3 + 2*x**2 + x. Let j be o(-1). Let l = j + 10. Let u = l - -28. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5134*w - 85*w**2 + 2562*w + 2573*w.\nAnswer: -85*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89*a*b**2*k**2*p + 2*a*b**2*k**2 - 4*a*b**2 - a*k**2*p + 30*a*k wrt p.\nAnswer: -89*a*b**2*k**2 - a*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(7\/3)*(t\/(t*(t*t*t**(-2\/29)*t*t)\/t))\/t*(t**(-16))**(-14) assuming t is positive.\nAnswer: t**(19349\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 8. Let t be y(8). Suppose c - 7*p + 3*p = 10, -p - 1 = t. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 120001?\nAnswer: 120002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 16197569061.\nAnswer: 16197569060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*((w**4\/w)\/w*w*w)\/w)\/w*w**3*w**(1\/4)*(w*w**(-1\/6))\/w assuming w is positive.\nAnswer: w**(73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b1 - -19?\nAnswer: ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -1 - b**2 + 16*b**2 - 5*b**2 - 2*b**2. What is v(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -s - 14, -4*s - 5*u = 11 - 39. Let q = 18.18 - 18. Let m = 0.04404 - 5.04404. Which is the third smallest value? (a) q (b) s (c) m (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 107348719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 24 = 4*k - 0*k, k = 3. Suppose -4 = -3*z - 1. Suppose 3*t = 2*o + 15, t = -5*o + 4 + z. Solve d - 9 = 2*q + n*d, t*q = 5*d + 40 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 34?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 19 = -3*n + 4, 3*n - 4*h = -43. Let r(q) = q**2 - 11. Is 15 a factor of r(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1467 + 1467.052. Let c = 0.092 + -0.14. Let x = c - b. Is 12 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 7:56 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 17*g**4\/4 - 9*g**3 + 2*g + 16. What is the second derivative of w(p) wrt p?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3004 + -2914. What is the lowest common multiple of 820 and i?\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 15) to base 5.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751 is divided by 265.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -63. Let l(g) = g**3 + 5*g**2 + 2*g + 9. Let p be l(-5). Calculate the remainder when ((-110)\/c)\/(p\/(-25)) is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - 32. Suppose 63001933 = -w*i + 401001933. Round i to the nearest 1000000.\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**2 - y - 1. Let c(p) = -21*p**2 + 3*p + 3. Let u(n) = 2*c(n) + 9*q(n). Let k be u(3). Calculate the greatest common factor of 60 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 16*p**2 - 3*p + 25. Give x(16).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 + q**2 + q. Let m(h) = 1347*h**3 - 2729*h**3 + 4*h + 1589*h**3 - 53*h**2. Let p(r) = m(r) - 4*o(r). Find the third derivative of p(n) wrt n.\nAnswer: 1290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4813291 by -22.\nAnswer: 4813291\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1, -9, -33, -77, -147?\n\"Answer: -g**3 - g**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708212143.\nAnswer: 31, 659, 34667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z**2 - z + 1. Let s(c) = c**3 - c**2 - 1. Let p(d) = s(d) - w(d). Let x be 3*3\/1 + -1. Let v(a) = a**2 - 7*a - 11. Let l be v(x). Calculate p(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10200 + 23010?\nAnswer: 33210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 43*b - 263. Let m be j(9). Let q(k) be the first derivative of 1\/6*k**3 - 3\/2*k - 1\/2*k**2 - m. Determine c, given that q(c) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -17*x + 28. What is the hundreds digit of 160398\/90 + x\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -236*m. Let v(h) = 2*h. Calculate z(v(a)).\nAnswer: -472*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 10:31 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tts when three letters picked without replacement from stkqtsttsktk.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 70510.68 millilitres in litres?\nAnswer: 70.51068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*m + 737 = 96*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/2 - 5\/(-5). Let n be k\/(-3 + -1)*-5. Let b be n\/20 + 123\/12. Solve 0 = -2*s - b, 6*u + s + 17 = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.18 - -4.183935. Round m to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 51052 - 0?\nAnswer: 51052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 952.8366 + 0.1634. Let j = c + -952.002. Let w = j - 0.128. Round w to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27\/(-15) + 2\/(-10). Is -38*c\/(-8)*-2 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j + 4. Let o(w) = -12*w + 9. Let m(s) = s - 6. Let u(z) = 2*m(z) + o(z). Determine 3*a(k) + 4*u(k).\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.008151 kilograms to nanograms.\nAnswer: 1008151000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-50)\/(-40) + (-12022)\/(-8) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4166 - 655?\nAnswer: -5043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 202*q**2 - 389*q - 1486. Calculate u(200).\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from rjrjreerjre?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1910*r + 117201 = -2124*r - 294267 for r.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + -1 - (5 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1901 divided by -1?\nAnswer: 1901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 411940.1.\nAnswer: 411940.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 126\/(-28) + 2\/4. Let f be -5 - ((-150)\/42 + x). Suppose 6\/7*c**3 + 0*c + f*c**2 + 2\/7*c**5 + 0 - 10\/7*c**4 = 0. Calculate c.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(81)\/sqrt(3) + sqrt(27) - (sqrt(27) + sqrt(243) + (sqrt(243)*2 - sqrt(243))))\/(5*2*sqrt(81))*5.\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 3*z = -35. What is the remainder when z is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 427.0307 micrometers?\nAnswer: 427030.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 305, 325, 345?\n\"Answer: 20*j + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -92 and -0.4821?\nAnswer: 44.3532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37712 + -4?\nAnswer: -37716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + w - 2. Let s be r(2). Suppose 0 = 4*f + 14 + 2. Let i = 0 - f. Solve 0 = i*d - s - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3547.9989285 + -3548. What is p rounded to 5 dps?\nAnswer: -0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -47*z + 11. Let j(l) = 47*l - 9. Give 4*j(g) + 3*v(g).\nAnswer: 47*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 102532673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1109, 2774, 7263, 15986, 30353, 51774, 81659, 121418?\n\"Answer: 235*c**3 + 2*c**2 + 14*c + 858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 313 - 173. Calculate the highest common divisor of 40 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13493529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/2 - p**3 - 7*p**2\/2 + 10*p - 6.\nAnswer: (p - 2)**2*(p - 1)*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4552 divided by 4?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 3. Let a be q(-3). Let z be a*(3 + -4)*-1. Solve z*w = 4*n - 31 + 8, -3*w - 25 = -5*n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11498586 + -12004527067\/1044. Let m = i + -7\/1305. What is the common denominator of ((-12)\/(-70))\/((-16)\/(-300)) and m?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = -8*f + 11. Let r be (-765766 + 16)\/(f\/96). What is r rounded to the nearest one hundred thousand?\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, v: 4}. What is prob of picking 3 v?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -689*c**2*p*z**4 - c**2*p*z**2 + 49*c**2*p*z - 46*c*p + 5*c*z**2 - 13*c + 4541*p*z**4 wrt z?\nAnswer: -16536*c**2*p*z + 108984*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -349*n + 128*n - 210*n in the form k + b*n and give b.\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8620 - -26044. What is the greatest common factor of w and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -839 less than -15714053171?\nAnswer: -15714052332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3392.9818 to the nearest 100.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(475) + ((sqrt(475) - -1*sqrt(475) - sqrt(475)) + sqrt(475))**2 + sqrt(475) + (sqrt(475) - -2*(1 + sqrt(475)))**2.\nAnswer: 70*sqrt(19) + 6181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + q**2 - 1. Let f(j) = -1 - 6*j**3 - 2 + 73133*j**2 - 73129*j**2. What is -2*f(a) + 6*v(a)?\nAnswer: 18*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from sssnnsss.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*m**4 + 2*m - 193.\nAnswer: -40*m**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 0*z**6 - 1\/15*z**7 + 0*z**5 + 0 + 13\/12*z**4 + 0*z + 0*z**3 - 23*z**2. Find the second derivative of h(t) wrt t.\nAnswer: -168*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-30) - 3078\/(-405)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 440 and 66.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 791 - 783. Let t(j) = -10*j + 4. Let n be (2 - 7) + -2 + 1. Let w be t(n). Calculate the highest common divisor of w and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t\/t**(1\/3))\/t)*t*t)\/t*t)**(-13\/4)*((t*t**(-1\/13))\/t)\/t*t**2)\/((t*t**(-2\/3))**(4\/17)*t*t**8*t**(-6)) assuming t is positive.\nAnswer: t**(-5741\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 11:02 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6312\/13 + 18988\/39. What is the nearest to 1 in -0.6, -4\/3, m, -9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l = 5*k + 1582, -2*k = 2*l + 628. Let a = 471 + k. What is the highest common factor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100001010110000001000 - 11?\nAnswer: -101100001010110000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -867*g**2 + 306*g - 27.\nAnswer: -3*(17*g - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 + 4*w**2 - 13 + 4*w - 17 - 4*w**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 - 14*i + 27. Give o(4).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cupcppspcpps. What is prob of sequence sp?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -21*l - 15. Let v(s) = -4*s - 3. Calculate 11*v(g) - 2*z(g).\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1395, -2791, -4187?\nAnswer: -5583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75 by -25.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + 0 + -2 + 4. Let c = n + 7. Suppose -c*z + z + 4 = 0. Solve t - 2*u = -z, u + 8 + 12 = -5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3103.352 decades to centuries.\nAnswer: 310.3352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11605987489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*i**2 - 297 + 297.\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062539665 rounded to 4 decimal places?\nAnswer: -0.0625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000001147 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 375 and 7375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 77. Let j be -5 + 0 + -2 + x + 8. Suppose -p = j*p - 156. Is p a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177.274446*-2.\nAnswer: 354.548892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5196896.\nAnswer: 2, 23, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = 10*r - 267. What is the greatest common divisor of 39184 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (1 - -12) + (0 - 7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 180 and -122.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 - 1.98. Let f = 0.08 - -0.22. Suppose i = 3*o - 26, -7*i - 97*o - 2 = -100*o. Which is the third biggest value? (a) f (b) i (c) y (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.207 - -0.507. Which is the third biggest value? (a) i (b) -0.3 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.6 + -2.7. Let t = 5.02 - 0.02. Which is the biggest value? (a) -2\/3 (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 106, 102, 88, 58, 6, -74, -188, -342?\n\"Answer: -p**3 + p**2 + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7220779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -15 (c) 4.9 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -6. Suppose -2*j + 33 = 3*q, 3*j = -q + 6*q + 78. Let r be (-90)\/j + 4 + 2\/56. Which is the second biggest value? (a) 0.5 (b) h (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 150 - 150.00217. What is w rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 1197*s + 15437. What is i(-13)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 49*p**3 + 137*p**3 - 2*p**2 + 4 - 66*p**3 + 6*p**2 - 3*p**2 to the form w*p**2 + a + r*p + h*p**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d. Let o be i(3). Suppose -o = 3*b - 9. Suppose -2*n + 20 = l + 2*l, 0 = -b*n + l + 12. Let g(m) = m**2 - 9*m + 8. Determine g(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 2 - 2*h**3 + 4*h**3 - 4.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 + 5*p**2 - p - 10. Let q be g(3). Let k = -171\/2 + q. Let d = 7 + -3. Which is the closest to -2\/3? (a) -0.07 (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 - 5*o + 1. Let q(j) be the second derivative of j + 5\/12*j**4 + 4\/3*j**3 - j**2 + 0. Suppose -426*r + 40 = -431*r. Determine r*m(d) - 5*q(d).\nAnswer: -d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 468\/624 + 30\/(-8). Put y, 2, -5, 5 in descending order.\nAnswer: 5, 2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 88 = -2*x - y, -2*x - 3*y = -83. What is the remainder when x is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 20 = r. Let x be (-2)\/3 + (-454)\/(-6). Suppose i + 8 = -3*b + 33, 5*b = 3*i - x. What is the highest common divisor of i and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 24122 and -45 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -108 + 0 - (4292 + -4354)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(180) - (sqrt(180) + sqrt(180) + -2)) + 4))**2.\nAnswer: -648*sqrt(5) + 1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 2*g = 24. Let m = 268 + -274. Let i be g\/m*(2 - 3 - 3). Sort -1, -4\/5, i, -2\/7 in decreasing order.\nAnswer: -2\/7, -4\/5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = k - 0*q - 5*q, -4*k + 2*q + 482 = 0. Is 19 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**5*y**3 + 11112*l**2 - 116*l*y**2 - 903*y**3 - 2*y wrt l?\nAnswer: 60*l**3*y**3 + 22224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 3)*6\/4*(-6)\/9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 31.5.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*v - 4*i + 12, 0 = -5*i + 20. Sort v, 5, -80.\nAnswer: -80, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287845.\nAnswer: 5, 23, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10c0 (base 13) to base 9\nAnswer: -3204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 3. Suppose 3*u = 4*h - 2*h - 24, 3*h = 0. Let d be ((-6)\/u)\/(2\/8). Let q be m(d). Solve q = 4*k + 4*j + 12, -j + 2*j + 3 = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13635, -27251, -40831, -54357, -67811, -81175?\n\"Answer: 3*r**3 - 13637*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-1 + 4 + -30 - (55 + -59)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4507*o*r*z + 2*o*z + 1143*o + 2*z wrt r?\nAnswer: 4507*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - m = -7*f + 36, 2*f = 4*m. Let o be 0\/(f\/(-4) - -4). Solve o = 5*d + 10, -17 = 5*w - 2*w + 4*d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 12:23 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 t when three letters picked without replacement from {y: 2, t: 4, g: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 18. Let o(g) = -6*g**2 - 2*g + 1. Calculate o(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90 + 3\/4*r**2 - 129\/4*r.\nAnswer: 3*(r - 40)*(r - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3300*r - 3049*r + 285705 = 0 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*v**3*w - 785*v**3 + 90*v - 567*w wrt w?\nAnswer: -6*v**3 - 567","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -5443?\nAnswer: -5435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -234320 divided by -14645\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -59449 + 3*f + 59449. Let q(t) = -6*t + 3. Give q(p(k)).\nAnswer: -18*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m**1*m)*m*m**(-2\/3)\/m assuming m is positive.\nAnswer: m**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74700 and 642420.\nAnswer: 3212100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 - -0.71. Let z = 0.392 + k. Let r = -0.123 - z. Round r to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20378 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 770856 and 1927140?\nAnswer: 3854280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zb when two letters picked without replacement from bbbbbbbzbbbbbbzbbbb?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 115660, 231591, 347522?\n\"Answer: 115931*g - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -11*i**6\/30 + 6*i**3 - 25*i**2\/2 - 5*i. Let k(c) be the first derivative of u(c). What is the derivative of k(v) wrt v?\nAnswer: -132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 140 = 2*d, 4*d = 8*d - 2*n - 270. Let s = d - 41. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*l + 28 - 56 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 4*b**2 - 5*b - 4. Let t be d(5). Let l be 2*(t\/(-1) + -3). Let h(v) = 9*v**2 + 4*v - 4. List the prime factors of h(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m*n*t*z + 2*m*n*t - m*n*z - 3*m*z + 3*n*t - 146*n*z wrt m.\nAnswer: -2*n*t*z + 2*n*t - n*z - 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -0.3. Let u = 0.497 - -0.003. Which is the nearest to s? (a) 1 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2. Let b(y) = 2230675*y**2. Calculate n(b(g)).\nAnswer: 9951821911250*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 869, -1262, -4807, -9766, -16139, -23926, -33127?\n\"Answer: -707*v**2 - 10*v + 1586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {r: 4, m: 1, c: 3, v: 1, d: 6, o: 4}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v + 36. What is the common denominator of ((-54)\/64)\/(3 + 54\/v) and -43\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 - 0.54. Let s = -0.3 + 0.2. Let n = 27 + -28. What is the nearest to n in d, s, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360.429 rounded to zero dps?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(31\/465).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*b + 22*b + b)*(-2*b**3 + b**3 + 0*b**3) - 4 + 2*b**4 + 4 in the form k*b**3 + o*b + n*b**2 + s + j*b**4 and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136730 = -32*n + 43*n. What is n rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58.5 - 81. Let g = 23 + m. What is the smallest value in g, 2, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = v + 2*q - 10, -4*v - q + 17 = 0. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/21 + (-3 - 57\/(-21)). Let l(g) = 2*g**2 + 4*g - 32. Let m be l(-5). Which is the nearest to m? (a) 0 (b) -3 (c) n (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 divided by 2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3203 + -1997. What is the least common multiple of x and 16?\nAnswer: 9648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 5*o + 26 = 0, 2*c + 5*o - 67927084 = -67927076 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/10*(-344)\/(-301)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 12 = v. Let t(w) = -5*w**2 - w + 2. Let n(k) = 11*k**2 + 2*k - 4. Let m(c) = 3*n(c) + 7*t(c). Let p be m(-2). Which is smaller: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 1. Let b be (((-48)\/(-14))\/(-2))\/(4\/(-14)). Let s(o) = b - 5 + 2 + 53*o - 54*o. Determine s(h) - 2*u(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/sqrt(6))\/sqrt(2))**2 + 3 + (sqrt(52)\/sqrt(4) - sqrt(13)) + sqrt(104)\/(sqrt(72) + sqrt(72)*3)*-1.\nAnswer: -sqrt(13)\/12 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.44 - -0.04. Suppose 0 = 7*z - 2*z - 15. Let l(o) = o**3 - 4*o**2 + o + 4. Let s be l(z). What is the closest to 0 in f, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 4:29 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 31, -481 in ascending order.\nAnswer: -481, -7, -3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yrsryyyqryfrffy. Give prob of picking 1 q, 2 r, and 1 y.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15918001.\nAnswer: 11, 17, 23, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -441*n**5 - 2*n - 130 wrt n.\nAnswer: -8820*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13336047?\nAnswer: 3, 1481783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*s + 33*s + 86*s**2 + 33*s - 108*s + 32*s + 1.\nAnswer: 86*s**2 + 16*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -185 (b) 0 (c) 2 (d) 8\/7 (e) 3 (f) 5 (g) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*n + 61 + 99 = 0, 4*n = -5*l - 770. Let q = l - -154. Solve 0 = -q*c + 9 + 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + o + 6. Let a be 6 + 54\/9*-2. Let j(g) = -3*g**2 - g - 9. Let z(s) = -4*s**2 - s - 10. Let n(q) = 3*j(q) - 2*z(q). Calculate a*k(d) - 5*n(d).\nAnswer: -d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/12 + 4\/6)*490\/(-105)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-15)*(-795)\/1113.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274890.\nAnswer: 2, 3, 5, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1064634 divided by -68.\nAnswer: 532317\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1088) + sqrt(1088) + 1 + sqrt(1088) + -1 - sqrt(1088)) + sqrt(1088)).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 105*-0.0425\nAnswer: -4.4625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -52404 divided by -712\nAnswer: 13101\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-366)\/(-61))\/(95\/(-55) - -2).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1492 + -1487. Solve 3*i - f*i - 4 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**7\/2940 - c**6\/1260 - 5*c**3\/6 + 5*c**2. Let t(j) be the first derivative of y(j). Factor t(g).\nAnswer: 2*g**2*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 1 + 4 - 1. Suppose 5*r - 85 = -3*f, 5*f - z*r = 3*r + 115. Let a = -15 - -29. Calculate the remainder when f is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -1\/5 (b) -11 (c) 2\/9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + k = -3*j + 3, -394*k - 3 = -393*k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 199?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**5\/12 - r**4\/3 + 2*r**2 + 1. Let q(f) = f**2. What is l(q(g))?\nAnswer: 5*g**4 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*i + p = 22*i - 68, 4*p = 4*i + 12*p - 9*p + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*r = -81*r + 75 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-15) - -1) + 6\/(-15). Let t(n) = 1703*n - 1706*n - 6 + c. What is t(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47 or 12?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 l when four letters picked without replacement from jldldjjljdlldjjjjlj?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2491?\nAnswer: 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 148 and 9916?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 9:53 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/357, -0.3, -2\/3, -0.079 in ascending order.\nAnswer: -3, -2\/3, -0.3, -0.079, -2\/357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2)*-1 + 2 + sqrt(128) + -1)*4)**2.\nAnswer: 224*sqrt(2) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121 by -688.\nAnswer: 121\/688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -13*z + 10*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25614125?\nAnswer: 5, 204913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -639, -695, -807, -975?\nAnswer: -1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 221 + 5?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 17*k**2 - k - 3 + 2 + 1. What is the units digit of f(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151 + 60.3555961.\nAnswer: -90.6444039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 6578 and 6586 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 28*j**2. Suppose 4*s - 18 = 2*c, c = 3*s - 9 - 4. Let l be a(c). Suppose 0 = -3*g - 0*g + 126. What is the highest common divisor of l and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -15. Is ((-190)\/(-8))\/(i\/(-16)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 57 = -3. Solve 2*q = -j, -j + 26 = -r*q + 3*j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2995434 and 72288?\nAnswer: 4518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssa when three letters picked without replacement from {s: 5, a: 15}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 30. Suppose 2*g + 2*g = 136. Calculate the remainder when g is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/10)*k)\/(k*k*k**(2\/7)*k) assuming k is positive.\nAnswer: k**(-167\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171670 and 19490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)*b\/(b\/(b\/b**(-32))))**(2\/51) assuming b is positive.\nAnswer: b**(52\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9327 + -9290. Let s be 3*(2 + 1468\/6). Calculate the highest common divisor of s and k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - a - 9, 2*a - 3*a = 4*w + 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1409 + 6829647*o - 6829647*o - 1146*o**3 with respect to o.\nAnswer: -3438*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h + 57 + 443 = 0 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwwgffwouomfmfm. Give prob of picking 1 m and 1 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 11) in base 2?\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a minute in seconds?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 4. Let y be j(-3). Suppose y = w - 1. Let m(c) = -1 + 0*c - w*c + c. Calculate m(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -98*y**3 + 2*y**2 - 1. Let i be w(-1). Let q be 2\/7 + i\/21. Determine a, given that 5*a - a - 5 + q*a**2 - 3*a**3 + 1 = 0.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -36.84. Let z = -0.2 + n. Let x = z - -0.04014. What is x rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5, 2*c = 2*w + 4*c - 26. Let k be -2*4\/(24\/9). Let s(g) = -11*g**3. Let r(m) = -4*m**3. Calculate k*s(b) + w*r(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-8 + 2 + 3 + -2). Let s(m) = -6*m**2 - 4*m + 9. Let v(d) = -5*d**2 - 3*d + 8. Let a(k) = n*v(k) - 6*s(k). What is a(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98779 divided by -98779.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4771 = -5*a, 2*a = k + 3*a - 4751. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.55314 - 0.01686. Let b = 21 + v. Round b to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*v**2)*(5 - 3 - 3)*(204*v + 64*v - 49*v).\nAnswer: -657*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*r + 16, 5*o = 4*o + 2*r + 1. Put -3, o, 1, 2 in ascending order.\nAnswer: o, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-26)\/p*(p*p*p**(-2\/39)\/p)\/p*p assuming p is positive.\nAnswer: p**(-1016\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 451187*i + 1580 - 1580 - 451171*i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17171.00030948 + -17171. Round m to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 6*z + i = 7, -2*z - 2*i + 2 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749813265 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -111*g - 146*g - 1028 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8894, -71217, -240414, -569933, -1113222?\nAnswer: -1923729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25455324*j*r + 18390978*j wrt r?\nAnswer: -25455324*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -225.128 - -224. Let d = 1.2 + x. Let t = d - 0.072103. What is t rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 7\/78*c**4 + 0*c**2 + 0 + 10*c - 1\/26*c**5 - 2\/39*c**3. Factor h(x).\nAnswer: -2*x*(x - 1)*(5*x - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 48 = -188*o + 191*o, 4*o + 3*y = -65 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-36)*3)\/(2\/(-18)). Suppose b = 9 - d. Calculate the smallest common multiple of 18 and (3 - 6\/21) + b\/21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + 10. Suppose 5*t = 20, -b = w - 4*w - t. Suppose 0*a - w*a + 25 = 0. Which is greater: 0.3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 47 + 49. Suppose 5*q + 7 = -3*i - 1, -3*i + p = -3*q. Solve i*r - 21 = 5*j, -2*r - 2 = -5*r + j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*h - 279*h - 3592*h**2.\nAnswer: -3592*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 5472*f**2 + 4887498*f - 1414203700.\nAnswer: 2*(f - 1043)**2*(f - 650)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w - 74. Let l be o(13). Find the first derivative of -8 - 21 + l*v**3 - 7*v**3 - 16*v**3 wrt v.\nAnswer: -57*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1162?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5818*p + 4296*p - 10105*p.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 18030?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**3 + 280280*c**2 + 16*c - 1121120 = 0?\nAnswer: -2, 2, 70070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -4500.4292 - -4495.27005048. Let f = l + 5.11915. Let p = f + 0.04. Round p to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -292 equal to -292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8978279.\nAnswer: 19, 472541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-6))\/(12\/9). Let t = 2 + 2. What is the third biggest value in t, 2\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 14*v**2 + 9*v + 12. Let r be f(8). Let o(a) = 236 - r + 2*a - a + 237. Let s(c) = -3*c + 13. Let d be s(7). Calculate o(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 3*q + 4, n - 4*q = 3 + 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-20) + 26\/(-10). Let q be (15\/3 - u) + -2. Suppose -a - 2*a = -q*z + 12, -3*a = -3*z + 6. Solve 5*v = -4*i - 17, 4*v + 5 = a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(49)\/sqrt(7)*-1)**2 - (sqrt(7) + sqrt(784)\/sqrt(7) - (sqrt(7) + 3 + sqrt(28)\/sqrt(4))).\nAnswer: -13*sqrt(7) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 143\/396 - (0 + 6\/(-72))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72971 is divided by 14261.\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*p = 85*p - 5*t - 8, 3*p + 5*t + 16 = 0. Let h be 12\/(-30) + (-64)\/(-110). Is p less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -355, -593, -819, -1027, -1211?\nAnswer: -1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**4 - 1140*w**3 - 57345*w**2 + 119290*w = 0.\nAnswer: -151, -79, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -157 or -163?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 860000 rounded to the nearest 10000?\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u + 33. Let p be t(-9). Let j(a) = -7*a + 51. Is 3 a factor of j(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 121*c**3*f**2 - c**2 + 77*f**2 wrt c?\nAnswer: 726*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -13, -4, -7 in ascending order.\nAnswer: -13, -7, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1087475 is divided by 23636.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -0.5, -0.4 in increasing order.\nAnswer: -3, -0.5, -0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 8000 + 29*q**2 + 2*q**2 + 7931.\nAnswer: 31*q**2 - 2*q - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n - 1 + 1 + (-n - n - n)*(1 - 4 + 2).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*m - 7 + 2 = 0, -4*a + 3*m = -35. Find t, given that 14*t**2 - 37*t**4 - 4*t**2 + 5*t**5 + 66*t**4 - 39*t**4 - a*t**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35016 divided by 18912?\nAnswer: -1459\/788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -16 (c) 3\/7 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435 (base 9) in base 13?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 7*z - 14. Let w be h(9). Solve -4*p = 4*k + w, -2*p = -2*k + 1 + 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12739687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (1 - (-4 + (6 - -4))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1038929, 2077871, 3116813?\n\"Answer: 1038942*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 418045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-4)\/(-9)) + -20 + 24\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y**3 + 17*y**3 + 15*y**3 - 86*y**3 + 17*y**3 + 18*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/3385 - -11533\/27080. Calculate the common denominator of m and -61\/76.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 + -27)*(0\/(-31))\/(-1*(-2 - -8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 527814 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 992*0.3.\nAnswer: 297.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 13 = -s + 5*d, -2*d + 26 = 2*s. What is the remainder when 50 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 614140?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -366.2 + 544. Let w = y + -178. Which is the closest to w? (a) 1\/4 (b) -1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 11*f + 242. Give w(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*d + 3*d - 5*d)*(1 + 0 - 3) + 6*d - 14*d + 22*d)*(0*d - 6*d + 4*d).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.97 + 1.47. Let g = 385\/508 + -1\/127. What is the nearest to 0.1 in g, 8, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.4 - 7. Let y = h + 1. Let v be 55\/15 + (-2)\/3. Put y, v, -4 in ascending order.\nAnswer: -4, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480) + 3*sqrt(480))\/(sqrt(490)*6) + 1)*-5 + 4.\nAnswer: -40*sqrt(3)\/21 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*c + 18. Suppose -94 = -c*i + 2*m, -4*i - 3*m = -0*m - 119. Calculate the highest common divisor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)\/(h**(-3)\/h))**24 assuming h is positive.\nAnswer: h**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 + 93. Let a be 2\/p*(201\/(-183) - -1). Are -1 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 6 - 3 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20128? (a) 2 (b) -3\/8 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460472 a multiple of 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(15\/2)\/d**(6\/5)*d**(-3\/4)*(d*d\/d**(-2\/45))\/d assuming d is positive.\nAnswer: d**(1187\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10320 (base 5) to base 9.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + x + 4)*(-3 + 2 - 1) + x + 0 + 0 - 2*x - 4*x - 3*x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(272) - sqrt(272)) + 0 + 2 + sqrt(272)*-1 + sqrt(272) + (-1*sqrt(272)*-1 - sqrt(272)*-1*5))*6)**2.\nAnswer: 1728*sqrt(17) + 88272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -101212 (base 4) to base 15\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 e, and 1 g when four letters picked without replacement from cjhheigjjeh?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6626 is divided by 214.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*27\/(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 35. Let g(a) = -a**2 - 6*a + c*a - 2*a + 42. What are the prime factors of g(0)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1375) - sqrt(1375)*-1)*-3)\/(-2*sqrt(500)*2).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + -2 + -9 + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -56031 divided by 3\nAnswer: -18677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -721 = 2*y - 2757. Find the third derivative of 1018 - y - 151*d**2 + 197*d**3 wrt d.\nAnswer: 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3935010 divided by -1967505\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4127*k**2 + 3 + 4126*k**2 + 3 to the form x + h*k + f*k**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20788, -21516, -22230, -22924, -23592, -24228, -24826, -25380?\nAnswer: -25884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*g + 75. Solve 0 = -7*p + 2*p + g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31808.3 to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357615 and 4455.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 4:48 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z - 19*z - 37 - 551 = 0 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 319259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 360462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -11*f + 16*f. Let q(n) = n**f + 0*n**2 - n + n. Let c(g) be the third derivative of -g**4\/4 + 2*g**3\/3 + 48*g**2. Determine q(c(h)).\nAnswer: 36*h**2 - 48*h + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -166*d - 4. Let s be t(-4). Suppose y + 2*y = s. Suppose -5*l + l = -y. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 0) + (0 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 8 = 3*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32128 is divided by 127.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 13*w**3\/3 - 4*w**2 + 202*w - 3927. What is the second derivative of t(x) wrt x?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5246009?\nAnswer: 5246009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 787490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 339523, 679085, 1018647, 1358209?\nAnswer: 1697771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17, 16, 15, 14, 13?\n\"Answer: -w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*n + 25*n + 28*n + 13*n to h + s*n and give s.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 9*d - 7. Let r(z) = 2 + z**3 - 5*z**2 - 4*z**3 + 4*z + 4*z**3. Let y be r(4). Solve 3*m + y = -d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) -1\/4 (c) 0.103 (d) 0.2 (e) -227\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3 - 0. Suppose v + 0 = -5*x + 1, o*v = -5*x - 7. Let j(q) = 7*q - 61. Let a be j(9). Solve a*h = k - x + 4, -k = -4*h + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91245 + 2007821\/22. Let x = 2104 + -23110\/11. Let r = x - j. What is the common denominator of -29\/4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 39456.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 163530 and 12.\nAnswer: 327060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - z - z - 45, 3*w + z - 45 = 0. Find the second derivative of 5*h + w*h - 14*h**3 - 2*h**3 wrt h.\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*v**4 + 4*v**4 - 8*v**4 + 7 + 4*v**4 wrt v.\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 5236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1083375 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q. Suppose 4*g = -4*l, q = 4*g + l - 5 - 1. Differentiate g*x + 3 - 1 + 1 with respect to x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 1404*n - 3284. What is the units digit of g(41)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.4 (b) 4 (c) 4\/9 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*k**4*o**2 + 5*k**2*o + k*o + 10*o**2 wrt k.\nAnswer: 300*k**2*o**2 + 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 35\/15 - (-2)\/3. Factor 1\/3*g**d + 0 + 1\/3*g - 2\/3*g**2.\nAnswer: g*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 11590\nAnswer: 23180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 - 24. Let w = y - 63. Let m = -0.18 + -0.12. Which is the closest to -1? (a) w (b) m (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**3 + 67*q**2 - 5*q + 12. Determine r(4).\nAnswer: 872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4. Let t(h) = -h - 4. Let l(g) = 3*i(g) - 2*t(g). Let p be l(4). Suppose p*b - 8*b = 5*z - 35, 0 = 5*b. Solve 0 = z*v - 2*v - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 11 - 2*b**2 - 17 + 3*b**2 + 40*b.\nAnswer: b**2 + 40*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.092846*-0.111\nAnswer: 0.010305906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 a when four letters picked without replacement from {h: 1, a: 4, d: 1, z: 1, s: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 8*n = 3*n + 23, 0 = 3*k + 5*n - 19 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -4\/9, -159, -2\/15, 1\/1055?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -18563174 - 853\nAnswer: -18564027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*n + 2*n**2 + 0*n**2 - 2*n)*(5*n + 2*n**2 - 5*n) to the form w*n + x*n**2 + j*n**4 + b + m*n**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3 - 463*f**2 + 2266*f + 10992 = 0. What is f?\nAnswer: -3, 8, 458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, 0, 1745 in decreasing order.\nAnswer: 1745, 99, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/8 of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 9*q + 11. Let t be w(10). Suppose -5*c = 2*s - t, s + 2*c + 0*c - 3 = 0. Suppose s = 4*p - 11. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1502142 (base 7) to base 10.\nAnswer: 202449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5206814.6 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Suppose b = -2*q + 3*x + 82, -3*q = -q - 2*x - 78. Suppose -4*c - 11 = -q. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 8*u**2 - 6*u + 10. Let h be w(-7). Suppose 33 = -h*d + 147. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 10*n**2 + 300*n - 3549. Give p(-42).\nAnswer: 1491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1196 and 3230948?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*2 - sqrt(220)) + sqrt(55) - sqrt(55)*3*-1)\/(1*3*sqrt(125)*2).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w**2 + 1 - 1)*(-1 + 3 - 1)*(24 + 5*w + 3*w - 28)*(5 - 5 - 5) as u*w**2 + r + m*w**3 + n*w and give m.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from vfkfkvrkffukfvnnkkkk.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6.3 times -473527\nAnswer: 2983220.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001001011 (base 2) to base 3.\nAnswer: -210202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 + (-45)\/(-3) + -3. Calculate the greatest common divisor of 3 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52982*-5.\nAnswer: 264910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 82\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22542*f**2 - 23257?\nAnswer: 45084*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -35. Let k(o) = 2*o**3 - 4*o**2 - o + 2. Let j be k(2). What is the second derivative of -285*g**s + 7*g + j*g**3 + 0*g**3 + 307*g**4 wrt g?\nAnswer: 264*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*((-135)\/(-225) - (-3003)\/(-5355))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 386 + 2157?\nAnswer: 2521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -458\/55 - -96\/11. Put -4, -2\/23, -0.4, k in descending order.\nAnswer: k, -2\/23, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10768 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -7, -17, 4 in decreasing order.\nAnswer: 4, -1\/4, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**4\/24 + 53*x**3\/6 - 14*x**2. What is the units digit of v(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 15\/5369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2105 - 2075. Calculate the remainder when j is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -552, -655, -760, -867?\n\"Answer: -y**2 - 100*y - 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -561 - -30684.79.\nAnswer: 30123.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17221 - -22082. Is z greater than 4861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 875 - 871. Suppose 8*m = -d + t*m - 1, -3*m = 2*d - 23. Solve -5*i + d = 6*k - 2*k, -12 = 3*k - 5*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 678.0038 grams?\nAnswer: 678003800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20453 + -429. Round k to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 - 3*m**4 + m**4 + (40*m**2 - 24*m**2 + 32*m**2)*(2*m**2 + 0*m**2 - m**2).\nAnswer: 45*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1618285490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.027204 + -48.956204. What is y rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/561 and -24\/7667?\nAnswer: 23001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3497*d + 27663 + 28289 = 0 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5763 is divided by 954.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 98c (base 13) in base 5?\nAnswer: 23022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90 + 102. Suppose g = a*g - 25531. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k - 150. Let p = k + 84. What are the prime factors of 4 + (2 + p)*6?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**3 + 16*g**2 - 8*g - 14. Let h(o) = -o**3 - 6*o**2 + 3*o + 5. What is 8*h(j) + 3*q(j)?\nAnswer: -2*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z - 7*z + 0*z + 10*z.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-8)*y**(-14))**(-25)*(y\/y**(-3)*y**2)\/(y\/y**(-2))**31 assuming y is positive.\nAnswer: y**438","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*i + 97, 18 = 3*h + 2*i - 55. Suppose -4*g = -h*g + 7636. What are the prime factors of g?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -210 + 243. Calculate the least common multiple of 15 and c.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*v - 2, 89*v = 4*r + 90*v - 24. Solve r*o + 35 = 25 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) -4 (c) -15\/2 (d) -0.5 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43 and 0.1.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 3672 = 27*u. Calculate the greatest common factor of 378 and u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - -67. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -6 - -8 - 5) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006781 rounded to 4 dps?\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/35 - (-16)\/56?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27135 - -76390. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 2*d - 24. Let h be i(-5). Let z be (-10)\/(90\/h) + (-4)\/2. Which is bigger: z or -2\/367?\nAnswer: -2\/367","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 708 + -397. Let z(m) = -84*m + i + 306 - 617. Let g(y) = 7*y. Calculate -49*g(s) - 4*z(s).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 24*f - 12*f - 36. Solve 2*u - 14 = -5*g + f*g, -g + 6 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11860)\/106740)\/(1\/738)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 165 = 5*i. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbwmckqqwqwqqmqbc. What is prob of picking 2 m and 1 c?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -8\/81, -890567 in descending order.\nAnswer: 3\/2, -8\/81, -890567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afaaaaaanaaaaaa. What is prob of picking 1 f and 1 n?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1514*x**5 - 3*x**4 + 2*x**3 + 4248*x - 19.\nAnswer: -30280*x**3 - 36*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**5 + 39*g**4 + 6*g**3 - 78*g**2 - 3*g + 39 = 0?\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 72 - 1165*w**2 - 1159*w**2 + 2314*w**2 + 4*w - w**3 as p*w + z*w**3 + l + j*w**2 and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 22*b = 19*b - 40, 30 = -5*f - b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 594*d**5*n + d**3 + d*n + 2*d + 2150*n + 2 wrt d.\nAnswer: 11880*d**3*n + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 5*q**4\/4 + 5*q**3\/6 - 5*q**2\/2 - 5*q. Let c be r(4). What are the prime factors of (-12)\/16 - c\/(-4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 2. Let a be w(-4). Let x be 21\/6 + a\/(-12). Let v be x - 0\/(-5) - (1 + 4). Put v, -3, -12 in descending order.\nAnswer: v, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22411.57521 rounded to the nearest integer?\nAnswer: -22412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 48. Let v be 4\/(-4) + -1 + 1. Let u be 3\/(v + 44\/32). Solve -7*s + i*s - u = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 1)*(-14 - -13). Suppose k = -4*t + 41 - 13. Find the second derivative of -j + j - t*j**2 + 6*j**2 + 2*j wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1420216 and 7644.\nAnswer: 55388424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5747 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, -1\/566, -0.184?\nAnswer: -0.184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 3:57 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(192) + -1 - (5 + -3 + sqrt(192)))**2 - (sqrt(12) + (sqrt(120)*1 + sqrt(120))\/sqrt(10) + (sqrt(120)*-1)\/sqrt(10))**2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 7 + 1. Let w(d) be the third derivative of d**5\/60 - d**4\/24 - d**3\/6 - 6*d**2. Let r be w(1). Sort 1\/4, c, r in ascending order.\nAnswer: r, 1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**6\/120 + s**5\/30 - s**4\/12 - s**3\/6 - s**2. Let j be y(-2). Factor 0*n**2 + 3*n**2 + 3*n - j*n**3 + 4*n**3 - 3 - 4*n**3.\nAnswer: -3*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-7.604344.\nAnswer: -3.0417376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-7\/4))\/r**(-3\/11)*((r\/r**(-4))\/r)**(8\/15) assuming r is positive.\nAnswer: r**(1093\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*a - 930 = -325 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/7, 10, -0.4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/27 and -101\/14478?\nAnswer: 130302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -651519*a - 4*c - 18 = -651517*a, 5*a = -3*c - 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2950 divided by -59?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -123.2020492 - -0.2181492. Let x = b - -123. What is x rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -2 (b) 1\/8 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvv when three letters picked without replacement from {y: 2, v: 10}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14996779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20314, 40622, 60920, 81202, 101462, 121694, 141892?\n\"Answer: -q**3 + q**2 + 20312*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.2 + 4.1. Let n = -2.1 - -2.2. Let z = 4.991 + 0.009. What is the fourth biggest value in z, n, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5\/4 - 3*n**4 + 33*n**3\/4 + 19*n**2\/2 - 33*n + 18 = 0.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from {n: 8, h: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -16323 (base 7) to base 8\nAnswer: -11017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1716)\/(-260))\/(1\/85). What is the highest common factor of 231 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from {c: 6, v: 1, u: 2, d: 5, p: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*y + 965999980 = 0, 5*s - 3*y = s + 772799980. Let q be (-21)\/7 + (-4 + s)\/(-4). Round q to the nearest 1000000.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*r - 27. Let y = 536 - 366. Calculate the highest common factor of r and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 12:15 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 4*b**2 - 7*b - 17. Let l be w(-4). Suppose l*q + 60960000 = -q. Round q to the nearest one hundred thousand.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1603*s + 96164. What is v(-60)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1 + i**2 + 5*i**2 - i**2 - 4*i**2 - 2*i. Calculate the remainder when 5 is divided by v(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + -18. Let o = g + 67. What is the remainder when 55 is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 9 = 1. Let b be (-16)\/(-10)*10\/p. Solve -b*z + 15 = m, -3*z + 5*m = -2*z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -37*g - 44982. Calculate the common denominator of (-2)\/((-40)\/158) + 1 and ((-2)\/((-12)\/1))\/(g\/(-14259)).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3 + -6*(sqrt(1008) - sqrt(1008)*2) + 4)*6)**2.\nAnswer: 9504*sqrt(7) + 1306489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5136.066um?\nAnswer: 5.136066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -375 + 465 + -10 + 5 + -2\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3192 - 798 + 2*b - 993 - 1401.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 11*m**2 + 23*m. Let k(z) = z - 9. Let f(u) = 2*u - 21. Let q(n) = -3*f(n) + 7*k(n). What is q(j(o))?\nAnswer: 11*o**2 + 23*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l + 1. Let b(m) = 10*m + 1. Let o be 8 + (-6 - -14 - 20). Calculate o*b(w) + 3*s(w).\nAnswer: -10*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/10 + 46\/115. Let g(y) = y. Let i be g(2). Let w(h) = h**2 + 6*h - 10. Let f be w(-7). Sort i, f, r in decreasing order.\nAnswer: r, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 5*l - 44 = 0, -446*u + 448*u + 4*l = 32 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g\/(g*g**(-3\/5)))*g*g**(-19) assuming g is positive.\nAnswer: g**(-83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/2*c**4 + 21*c + 24*c**3 - 87\/2*c**2 + 0 = 0 for c.\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 170?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 - 4*k**2 - 171*k**3 + 435*k**3 - k**2.\nAnswer: 264*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -214224232?\nAnswer: -214224222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 50584.4?\nAnswer: -50584.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (522\/2)\/((-1)\/1). Let p = 1301\/5 + j. What is the third biggest value in 0.5, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 14) in base 4?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -0.03\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 8757*y - 33649. Determine v(4).\nAnswer: 1379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z. Let q(c) be the first derivative of 23*c**5\/60 - 23*c**2\/2 - 17. Let n(k) be the second derivative of q(k). Determine n(i(d)).\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -5, 15 in decreasing order.\nAnswer: 15, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16885\/42 + -402. Let g = 47\/210 - t. Let q = 6 + -4. Sort 4, g, q in descending order.\nAnswer: 4, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 31*j**2 - 227*j + 66. Calculate t(-18).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3205*g**3 + 9595*g**2 - 6350*g - 40 = 0.\nAnswer: -4\/641, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 122533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 477 - -2093. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34 - 2 - 6)*(2 - 1 - 3)*(6 + 9 - 10*j + 7*j + 27) to the form s*j + p and give p.\nAnswer: 3528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 168924, 169092, 169260?\n\"Answer: 168*q + 168756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 35\/(-14)*4\/(-15)*21. Which is the fourth biggest value? (a) 1 (b) h (c) -4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n - 69. What is the units digit of s(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-138) - 21416730\/(-46) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-564)\/2)\/(9 - 1705\/187). Suppose -k*x - 74 = -2399*x. Suppose 6*n - 63 = 3*n. Calculate the remainder when x is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3801? (a) -3 (b) -1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppppp. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.078 + 3.078. What is the nearest to r in -0.2, -0.5, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 + -26 + 45)\/(13 + 258)?\nAnswer: -2\/271","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30626, 30627, 30628, 30629, 30630?\nAnswer: 30631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (48\/(-20))\/((-2)\/10). Suppose 2*a + 46 = 2*s, 0*a = -4*a + 4. Calculate the highest common divisor of s and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*-4*5)**2.\nAnswer: 215600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -875*v**2 - 7. Let p(s) = -s**2 + 4*s. What is p(g(f))?\nAnswer: -765625*f**4 - 15750*f**2 - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and 0.011.\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*u = 9, -m = -5*m - u + 3. Suppose p - 10 + m = 0. Calculate the remainder when 16 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*s + 75*s - 2682*s**3 + 2672*s**3 + 65*s.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by -7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r. Let y(h) = -h. Let o(v) = 4*w(v) + y(v). Let l(k) be the third derivative of -5*k**2 + 0*k + 5\/12*k**4 + 0*k**3 + 0. What is o(l(z))?\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3025, -5838, -8651, -11464, -14277, -17090?\n\"Answer: -2813*n - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*p = -147*p - 1011*p + 131760 for p.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**6\/720 + w**5\/24 - w**4\/24 - 2*w**2. Let m(o) be the second derivative of j(o). Does 10 divide m(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Suppose -s + 0*v + 2 = 3*v, v + 1 = 0. Suppose 2*c + 6 = 5*y - 12, -s*y - c + 21 = 0. Solve -b*p + 10 = -5*o, 0 = -5*o - y*p + 8*p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*b - 5*k - 18, 4*b = -2*k. Put b, -2, -11, 3 in descending order.\nAnswer: 3, b, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 93*w + 1537. Let l be v(-6). What is the highest common factor of 445 and l?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15792*p = -3019*p + 2360*p - 605320 for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 h when four letters picked without replacement from hfhnkf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(2 + sqrt(176) + 1)*3)**2.\nAnswer: -9990 - 1296*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -8\/3, -71, -6, 3, -9.8?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -19. Let q(g) = 3*g**2 + 17*g - 12. Let u(j) be the second derivative of -j**4\/6 - 3*j**3\/2 + 3*j**2 - j. Let o(m) = t*u(m) + 3*q(m). Give o(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 2) in base 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 0*k + k - 83 - k + 82 + 9*k - 8*k. Let m(v) be the first derivative of -3*v**2 + 9*v + 3. What is -4*f(a) - m(a)?\nAnswer: 2*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*d + 3719, d - 5388 + 14718 = 5*i. Let w = i - 554. Is 39 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -230179, -230182, -230187, -230194?\n\"Answer: -d**2 - 230178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592 is divided by -19 - (-11 - 28) - -56?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-429)\/11700*(-2)\/11)\/(2*(-1)\/4)?\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (216\/(-1008))\/((-34)\/12376)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 118, 101, 58, -23, -154, -347, -614?\n\"Answer: -2*o**3 - o**2 + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 + -71?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-1))\/((-5)\/(-59)). Let s = -58\/5 - p. Let x = -1 + 2\/3. Which is the smallest value? (a) -4 (b) s (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.39 + -0.01. Let i be ((-5)\/(-30))\/(2\/8). Let n = -35 - -34. Which is the nearest to n? (a) j (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 55. Suppose 0 = 3*w + 4*i - f, -3*i + 4 = i. What is o in -4*o**2 - 4*o**2 - 4*o + 14*o**2 - 12*o**2 + w = 0?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 1. Let p be q(5). Let g be p\/(-4) + 2*1. Suppose g*i + i = 12. Solve -1 + 4 = -i*o, 2*v + 2*o - 6 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -8882.\nAnswer: 2\/4441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 5*k - 20, 2*j + 2*k - 12 = 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*-4*(-3)\/(-36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/24*(-3)\/2. Suppose 3*a = -9, 6 + z = 5*o + a. Is o*(90\/(-4))\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134431666 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89013967*d**4 + 8252*d**2 + 8383*d wrt d.\nAnswer: 2136335208*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3c238 (base 15) to base 8\nAnswer: 570556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1705 and -57\/284977.\nAnswer: 44171435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 2445.\nAnswer: 4\/2445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26041612.\nAnswer: 2, 23, 31, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50 or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -85*t + 63*t + 43*t + 105 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*(-195)\/546*(-2)\/(-21).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - y = -v - 2, -4*v + 3*y + 43 = 0. Let n be (1*23)\/(v\/51). Let i = -167 + n. Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/12 - 2\/(-3). Let c be 0*(-3)\/12*14\/(-42). Sort 5, s, c, 3 in ascending order.\nAnswer: s, c, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -224*b - 3353. Let k be f(-15). Factor k + 13\/2*p - 1\/2*p**2.\nAnswer: -(p - 14)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/36 and 131\/570654.\nAnswer: 1141308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.858997 to three decimal places.\nAnswer: 1.859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7466459 by 21.\nAnswer: -1066637\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3019771.69 - 0.058?\nAnswer: 3019771.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 138713751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 11:51 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 14*y**3 - 18*y**3 + 5*y**3 + 14 - 3*y - 16. Give f(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47660?\nAnswer: 2, 5, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -1131, -4, -22, 4.\nAnswer: -1131, -22, -7, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20975 or -20959?\nAnswer: -20975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 + n**2 - n + 1. Suppose -d - 69 + 91 = 0. Let j be (-22)\/(-6) - 2 - d\/33. What is t(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/12 and -109\/10176.\nAnswer: 10176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-38)\/(-14) - 12\/(-42). Suppose -w + 92 = -5*j, -2*j = -z*j - 2*w - 14. What is the tens digit of (-214)\/(-9) + (-4)\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(660)\/(sqrt(24)\/sqrt(2)*3))\/((sqrt(11) - 1*sqrt(11))*4 - (sqrt(11) - sqrt(99)*2)).\nAnswer: sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 216 + 39. Is 23 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 p when four letters picked without replacement from wwwzpwzzpzwwow?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1235\/2076 - -2\/173. Calculate the common denominator of 83\/88 and y.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28168373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 1 (b) -5 (c) -0.07 (d) -0.5 (e) 104\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -470, -54, 640, 1612, 2862, 4390?\n\"Answer: 139*g**2 - g - 608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370167495.\nAnswer: 3, 5, 409, 60337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/37 - 177\/148. Which is bigger: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152339580 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from qqvvoevvjovqoebqeooo.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11519 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 744913415*y**3 + 1067708464*y.\nAnswer: 4469480490*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.91 - -10.91. Which is the smallest value? (a) 0 (b) -1.1 (c) -3\/11 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000866007 to 5 decimal places.\nAnswer: 0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3 + 846)*(-1 + 2)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmemaeeemvzvvmv. What is prob of sequence mmae?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -r + 16. Solve -3*d = -r*d - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 12141213?\nAnswer: 12141215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 8) to base 15.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7\/5)\/((((l**(-3\/13)\/l)\/l)\/l*l)\/l))\/((l\/(l**(3\/7)\/l*l*l*l))\/l**(-1\/15)) assuming l is positive.\nAnswer: l**(4358\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 20 - (1 - 1 - -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, h: 5}. Give prob of picking 2 b.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**3 - 2*g**3 - 40879 + 40855 + 2*g**4 - g + g**2 to the form f*g**3 + i*g + w*g**4 + k + l*g**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhfhnnnlffhnfffn. Give prob of sequence fn.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 21 + 22 = m, 0 = -3*m + 4*z + 104. Calculate the highest common divisor of m and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.694142 rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36366 + -24845. Calculate the greatest common divisor of 82 and p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -72, -97, -40, 141, 488, 1043?\n\"Answer: 7*d**3 - d**2 - 71*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - -5) + -2 - 4. Let r be 72\/(-14) + (-1)\/w. Let n(a) = -a - 11. Give n(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.9 and -0.12309?\nAnswer: 10.02309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26946?\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2297.\nAnswer: 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -0.943. Let f = -3.9657 - -0.7227. Let c = f - k. Round c to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15588 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47480574 to the nearest integer?\nAnswer: 6891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -185*l**3*n**2 + 29980*l*n**3 - 5*n**3 - 141*n**2 - 6*n - 128 wrt l?\nAnswer: -555*l**2*n**2 + 29980*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -154452 greater than or equal to -154598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3705 and 102.\nAnswer: 125970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y - 3*y**2 - 7*y)*(0 + 2 - 4)*(2*y - 2*y - 4*y) + y**3 + 13*y**3 - 5*y**3.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 59487\/17941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -2, -1.5, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10795?\nAnswer: 5, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - s + 165. What is the remainder when s is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/2)\/5*16\/56. What is the third smallest value in -0.2, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -445*g**3 + 4*g**2 + 4*g - 1. Let d be k(-3). Let y be (7\/2)\/(13\/d). Suppose 12159 = -2*x - y. Round x to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.6576*-1.73\nAnswer: -14.977648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 9*s**2 - 15*s + 16. Let u be z(-11). Let p = 68 + u. What are the prime factors of 0 + 109 - 1 - (p + -8)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 108, 120, 132?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*(1 + (sqrt(539) - (sqrt(539)*-2 - sqrt(539))*1))*3)**2.\nAnswer: 36288*sqrt(11) + 5589000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3012534 (base 6) in base 5?\nAnswer: -14020043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -304223 (base 6) to base 8\nAnswer: -57327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1623 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 132816770 rounded to the nearest ten thousand?\nAnswer: 132820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -124084024.\nAnswer: -124084023.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/3 + 40*c\/3 - 32.\nAnswer: 4*(c - 2)*(c + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43687*o**4 + 20682*o**2?\nAnswer: -1048488*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-28)*(-14)\/4. What is the nearest to 0 in 3, -2\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 15 - 87. Calculate the remainder when (2\/(-4))\/((-1)\/94) is divided by (-4)\/(-18) + (-284)\/d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-55)\/(-44) - (-20)\/(-16). Sort 1, 2, q in decreasing order.\nAnswer: 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 10:20 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*i**2 - 5*i - 8*i**2 + 28*i**2 - 209.\nAnswer: -2*i**2 - 5*i - 209","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11361, -91892, -310483, -736164, -1437965, -2484916?\n\"Answer: -11505*i**3 + 4*i + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 55. Let v be 1 + 3\/(9\/(-4)). Which is the nearest to -1? (a) -1\/6 (b) x (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + (sqrt(77) + (-2*sqrt(77) - sqrt(77)))\/sqrt(7) - sqrt(1331)*2) + sqrt(11) + -1 + sqrt(539) + (sqrt(44)\/(sqrt(8)\/sqrt(2)) - sqrt(11)))**2.\nAnswer: 30*sqrt(11) + 2476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 46. Which is bigger: -1\/4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*k - 15*k + 2 + 31*k**3 - 23*k - k**4 + 62*k + k**2 in the form s*k**4 + v + x*k + b*k**2 + c*k**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1056 times -0.1392\nAnswer: -146.9952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3*(sqrt(20)\/sqrt(4))**2 - ((sqrt(50)*-1)\/sqrt(10))**2) + 1)*1.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4537 - 2593. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -594a3424?\nAnswer: -594a3426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 11:29 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2. Suppose 12 + 3 = -2*y - 5*u, -2*y = 2*u. Suppose y*z = z. Let n(c) = -3*c + 0 + z. Calculate n(x(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-512)\/912 - (-2)\/3. Suppose -3*g = g - 8. Suppose 0 = 4*j - 2 - g. What is the nearest to j in 1, o, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76018059*2\nAnswer: -152036118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -138 + 243. Let w = 949213 - 949107.9937. Let q = z - w. Round q to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -286 and -0.215?\nAnswer: 61.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*g. Suppose g = -3*y - 3*x - 7 + 22, 15 = -4*y + 3*x. Let p be 5\/2*264\/220. Solve y = p*c + 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190314680 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 66245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-60)*((-30)\/(-2))\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 45.38. Let c = 3.92 - k. Let d = 4.300094 - c. Round d to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*q + 8, -4*q = -z - z - 4. Suppose -3*g + 6711 - 1691 = -q*m, g = -4*m + 1650. List the prime factors of g.\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*b = 25, 7*b - 3*b = 5*r - 131. Solve -4*c = -7 + r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4243442223 (base 5) to base 11.\nAnswer: 5076136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -855 + 822. Let m = s - -67. Solve -35*w - 4 = -m*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -7, -1, 6, -3 in decreasing order.\nAnswer: 6, -2\/9, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1210.6 and -9045?\nAnswer: 10255.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 2) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/8*8)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5839 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/2 + 0)*0. Round l to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -118 - -122. Let k(c) = c**2 - 11*c + 42. Let d be k(m). Calculate the greatest common divisor of 14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(176) + 4 - (0 + 1*sqrt(396)).\nAnswer: -2*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63 - -75. Calculate the least common multiple of n and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174988 is divided by 27928.\nAnswer: 7420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/112 and 8\/192*-213 + 1\/2?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35861393 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aajaaajaajaaaaaa.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -5*m**4\/12 + 52*m**2 + 2*m - 27. Let r(q) be the first derivative of j(q). Let t(l) = 3*l. Determine r(t(x)).\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 4:45 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-17) + (-18772)\/34. Let h be (i\/(-30))\/(4\/10). Suppose 5*d = 7*d - h. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0873 and 8.09.\nAnswer: 0.706257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 34. Let i = g - -1. Let v be (i\/(-6))\/((-3)\/(-18)). Solve -3*r - c = -v*r + 20, 0 = 5*r - 3*c - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 248*a**2 - 234*a - 3718. Determine t(249).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/12 and -95\/17108?\nAnswer: 51324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from mmsmsmmmmmmsmssmmmm.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 9. Let o be z(-10). Solve 2*v = 7 - o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*c**3 + 786*c + 20*c**3 - 787*c.\nAnswer: -21*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u - 198. Let x(g) = -2*g. Determine b(x(n)).\nAnswer: -8*n - 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-50)\/325 - (-200210)\/65. Which is smaller: n or 3077?\nAnswer: 3077","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 3 - -64) + 779 + -799?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12337401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -13\/1292817 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -70*u**4 + 45*u**3 - 45*u**3 + (2 + 2*u - 2)*(u**3 - u**3 - 2*u**3).\nAnswer: -74*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*d + 12, 2*n = d + 2*d + 12. Suppose 0*t + t - 3 = n. Find the second derivative of -o + t*o + 13*o - 5*o**2 wrt o.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence php when three letters picked without replacement from hphpooppop?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68502*p*s**3 - 32084*p*s wrt s?\nAnswer: 411012*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 11654.397.\nAnswer: 11654.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*f**3 - 10\/11*f - 8\/11*f**2 - 4\/11.\nAnswer: -2*(f + 1)**2*(f + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + (-10)\/(-8))*66912\/6273. Solve 0 = d*i - 132 + 348 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 889 = -31*b + 521*z - 523*z, -3*b = 4*z + 67 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t = -4811 + 1004. Suppose -4*g + 5*u = -371, -g + 97 - 23 = -5*u. What is the least common multiple of t and g?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3359.2 + 3359. Let x = -8 - -4. Which is the third smallest value? (a) 0.4 (b) x (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(4\/9)\/k*k*((k*(k**(-25\/2)\/k)\/k*k*k)\/k)\/k*k**(-1\/45)\/((k**(-8)*k)\/k) assuming k is positive.\nAnswer: k**(-457\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5667 divided by 3\nAnswer: -1889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 15 = -0*x. Let a = -23 + 69. Let r = a + -11. Solve r = -x*v - 4*y, 19 = -2*v - v - 2*y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2307\/221 and 67 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/376 and 32\/135089.\nAnswer: 50793464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**2*u**5 - 2*o**2 - 1239*o*u**5 - 2*o*u + 446 wrt u?\nAnswer: 20*o**2*u**3 - 24780*o*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**7\/840 + m**6\/30 + m**5\/30 - 5*m**4\/12 + 19*m**3\/6 - 27*m**2. Let d(p) be the first derivative of u(p). Is d(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/45)\/(69\/828).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 135137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (139 + (-11 - -16 - 6) - 17) + -5 + 19?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/10*(4 + -134). Let c be (7\/(-2) - -2)*f. List the prime factors of (c\/(-8))\/((-24)\/64).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*b = 7*b, 0 = 2*z - 2*b - 16. Suppose n + z*n = 5. Let l be (-11 - -3 - -3)*(-2 + n). Solve -g - g + 5*q - 3 = 0, 2*q + 3 = l*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0844, -298, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104 + 67. Let t = -25 - n. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -325, -686, -1047, -1408, -1769, -2130?\n\"Answer: -361*q + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 731 times 0.11\nAnswer: 80.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*v - v - 3*v)*(3 - 4 + 2) - 1 + 1 - 5*v)*(0*v + 0*v + v)*(-3 + 1 + 1)*(-1 - 18 + 7).\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1903 is divided by 1890.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*w**2 - 6*w**3 + 12*w**2)*(7*w**2 + 905 - 441 - 462).\nAnswer: -42*w**5 - 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 212 = -2*u, 2*u - 39 - 95 - 8 = -4*x for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -108.45 - -0.38\nAnswer: -108.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/27306 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 135*j + 1255. Give v(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013053699 to 7 dps.\nAnswer: 0.0001305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -31, -1117, -1\/2, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3))**(-8\/5)*(d**(-2\/3))**(-15) assuming d is positive.\nAnswer: d**(142\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, g: 6, v: 3, k: 1}. What is prob of picking 2 v?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -6\/19, 12, -14, 3, 1, -182?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.2, 3, -15, -25\/112?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 12:50 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479 = -144*z + 41*z + 582 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 12:27 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 10*k + 2530 = 0. Let b = k + -140. What is the remainder when b is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1558, 3119, 4670, 6205, 7718, 9203?\nAnswer: 10654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15188 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - o. Let r be s(1). Sort 1, r, 3, 0.1.\nAnswer: r, 0.1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(2\/49)\/((((q\/(q\/(q**(-2\/13)\/q)))\/q*q)\/q*q)\/(q**(-5)\/q)) assuming q is positive.\nAnswer: q**(-3061\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.5825 millennia to centuries.\nAnswer: 75.825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**7\/672 + a**6\/144 - a**5\/96 - 7*a**3\/2 - 10*a. Let l(i) be the second derivative of m(i). What is x in l(x) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8525690491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - h + 0 + 19 = 0, 5*p + 3*h = -23. Let j = -4 - p. Let t = 1 - j. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 8:51 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 7250.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 125 and 30?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 11.7. Sort -2\/17, a, 2.\nAnswer: a, -2\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, 0.3, -4\/305, -89, -1, 7?\nAnswer: -4\/305","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 16. Let q be 2\/8 - (-3)\/(-12). Suppose -5*d - p = -d - 85, q = -2*p + 10. What is the highest common divisor of d and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 22?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50268735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201010211 - 1211?\nAnswer: 2201002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -58*n**3 + 27*n**2 - 522*n - 13. Let x(r) = 24*r**3 - 11*r**2 + 209*r + 5. Give -5*c(w) - 12*x(w).\nAnswer: 2*w**3 - 3*w**2 + 102*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**5*(n**(-4\/19)*n)\/n*n assuming n is positive.\nAnswer: n**(110\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/180 and 71\/2790.\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -147.292248085 from -0.01.\nAnswer: 147.282248085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 - 10 + 15*z**3 + 3.\nAnswer: 19*z**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -u - 4*g - 10, 5*g + 5 = -u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 992\/528 - (-12)\/(-22)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 6*f - 14. Let p = 8 - 16. Let b be m(p). Solve -b*v - 4 = 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9138179883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 5*q = 21, t + 5*q = 2*t + 19 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 1483*g = 1528*g - 68, 3*w - 5*g - 46 - 21 = -3*g for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 40 * -0.5\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 27273417984\nAnswer: -27273417982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 10*c + 22. Calculate q(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116260 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100614 is divided by 10676.\nAnswer: 4530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59634 * -0.5.\nAnswer: -29817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9793 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11aa3 (base 11) to base 10\nAnswer: 17295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44791?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 26, -12, -2, 25, 2, 4 in descending order.\nAnswer: 26, 25, 4, 2, 1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 + -36. Suppose 6*n - q*n + 4 = 0. Calculate the least common multiple of 8 and (-126)\/n - (-24)\/(-16).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1045 and 1520.\nAnswer: 16720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 67, 57, 25, -35?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*(sqrt(13) - (sqrt(13) - (-3 + sqrt(13)*2))).\nAnswer: -4*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) - 6*(sqrt(80) - 1*sqrt(80)) - sqrt(80))\/(-3*sqrt(30)\/sqrt(3)))\/(-1*(sqrt(100) - -1*sqrt(100)*-2 - 2*sqrt(100)*-2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34636751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182\/42 - 14) + 9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.779972936 rounded to 4 dps?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21, -67, -183, -405, -769, -1311, -2067?\n\"Answer: -6*q**3 + q**2 - 7*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-236)\/(-413))\/((-2)\/(-21)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 4611, 150, 4 in increasing order.\nAnswer: -28, 4, 150, 4611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, m: 4, d: 3, c: 4, e: 1}. What is prob of picking 1 e, 1 c, and 2 m?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 - 1.96. Let k = n - -4. Let p be (-12)\/(-16)*2\/6. Which is greater: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l + 41. Let g be k(15). Which is the nearest to -0.2? (a) 4 (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168 a factor of 71397216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 199*k + 8 - 8 + 195*k to w*k + y and give w.\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29*u**4 - u**3 - 138 wrt u.\nAnswer: -116*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(62100\/(-5525)))\/((-5)\/10) - (-2)\/(-23)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*a - 191*a + 815*a - 199*a - 191*a + 11*a**3 - 38*a.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 15 = b. Suppose -b*h + 39 = -0*h. Let t = h + -2. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k\/k**(-6))\/k)*k**(-3))**(-43\/2)*(k**(-4)*k\/(k\/((k**(-1\/12)*k)\/k)))\/((k\/k**(1\/4))\/k)**(-19) assuming k is positive.\nAnswer: k**(554\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4 = -2*h, -3*r - 16 = -2*r + 5*h. Calculate the least common multiple of r and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000036087096 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/((-9)\/24))\/((-22)\/6105). Suppose 13*c + b = 43*c. Does 21 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-4 - -9) + 3 - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*h - 17. Suppose 0 = -2*n + y + 58, -y - h*y = -10. Solve -5*g = a + n - 0, -4*a - 35 = 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*n = -58*n + 1. Let x(w) = 13*w - 12. Let c be x(n). Suppose -4*u = c + 7, 0 = -4*y + 4*u + 480. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*-2*sqrt(847) + sqrt(847))**2.\nAnswer: 770*sqrt(7) + 41528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36228, -72413, -108598, -144783?\nAnswer: -180968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/((-1309)\/1100))\/((-4)\/(-14)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 33*h**2 + 50*h - 176. Is v(13) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 7*k - 2*k + 6. Let a(m) = -3*m + 2. Let r = -565 + 558. Calculate r*a(q) + 2*w(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3283 + 36111\/11. What is the nearest to -0.1 in x, 0.3, -0.095?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 14) to base 4.\nAnswer: -1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437082 is divided by 245.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 18. Let j(l) = 41*l**3 - 1. What is the tens digit of j(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(396)*-1 + sqrt(396) + 2 + 3 + -5*1*sqrt(396)*6 + 3)**2.\nAnswer: -2496*sqrt(11) + 267760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s - 35. Let q be a(-11). Let x be (-15 + (q - 2))*-3. Suppose z - 5 = -0*z, -5*z = t - x. Calculate the remainder when 61 is divided by t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x**3 + 8195*x**2\/2 - 282675*x\/2 + 1018625 = 0. What is x?\nAnswer: 10, 29, 1405\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 15*a + 14. Let x be s(-13). Let t = x - -15. Suppose t*q = 7*q - 48. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113711573 to the power of 1\/2, to the nearest integer?\nAnswer: 10664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.3 - -10. Let f = -6.7000058 + n. What is f rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5 + 4*t**4 - t**3 - 10*t**2 + 4*t + 8.\nAnswer: -(t - 2)**3*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 3. Let t be h(3). Solve d - t = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -304826, -610064, -915302, -1220540, -1525778, -1831016?\n\"Answer: -305238*l + 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247236.\nAnswer: 2, 3, 11, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o + 52. Let j be m(-12). Let v be 2 - 3 - (0 + j)\/(-4). Solve v*w = 3*w + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100001011110011100 (base 2) to base 14.\nAnswer: -22c164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-198)\/45 - -5)\/(10\/4 - 2)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -1\/49, 72, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1264)\/(-24)*1\/(-2). Which is smaller: l or -26?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 - 205*y**2 - 101*y - 202. Let i be z(103). Let t = 0.35 - 0.05. Which is the nearest to i? (a) t (b) 3\/2 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*-1)\/((sqrt(9)*2 + sqrt(9) - sqrt(9))*1) - (sqrt(3584) - ((2*sqrt(3584) - sqrt(3584)) + sqrt(3584)))\/(-1*sqrt(800)))**2.\nAnswer: 567\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/35)\/((-2)\/(-10)*-2). Suppose h - 7 = -x*h + g, -5*h - 4*g - 11 = 0. Let v = -0.4 + 0.7. What is the third smallest value in 19, v, h?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.0314 - -0.8314. Is j greater than 77\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1926 - 1924. Sort x, 4, 2\/9, 6.\nAnswer: 2\/9, x, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -826322 and 0.08?\nAnswer: 826322.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 2\/5 (b) 8.957 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-nine fifths of a micrometer?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 306, 4\/3, -3, 6, 5 in descending order.\nAnswer: 306, 6, 5, 4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from lzalallfuaaluulalal?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1330181?\nAnswer: 1093, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13085 or 13084?\nAnswer: 13084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 147 - 127?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -16*h + 45. Let 1 + 7*i + 17126*i**3 - 5 - 2*i**2 - 17127*i**h = 0. What is i?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26c151 (base 13) to base 5\nAnswer: -220044201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1) + 1 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -3*k + 42, -661*s = -660*s + 29*k - 406 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-8) + (-54)\/(-80). Let l(d) = -d - 2. Let a be l(-5). Put t, a, -1\/6 in descending order.\nAnswer: a, t, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 558, 834?\nAnswer: 1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -8 - 5*r + 0*r - 3*r + r. Let w(p) = p. Let a(i) = -l(i) + 2*w(i). What is the derivative of a(s) wrt s?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -12*p**2 + 1392*p + 2758. Give w(118).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/9 - 2*v**2\/9 + 13*v\/9 - 10\/9.\nAnswer: -(v - 2)*(v - 1)*(v + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 - 5*r - 2. Let x be y(4). Calculate the remainder when (-374)\/(-5) - (-60)\/(-75) is divided by 20\/(-2)*x\/(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -33*s**2 + 727*s - 15. Calculate z(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 6 = 2*v, -3*l + 37 = 53*v - 58*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 904?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 6:40 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -2*b**4\/3 - 9*b**2\/2 - 18*b. Differentiate z(h) with respect to h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43 and 4?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -693276 + 693317 + 3*q**3 - q**2 - 3*q**2 in the form i*q + g + y*q**2 + j*q**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 15335?\nAnswer: -15343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/5 - 22*p\/5.\nAnswer: -2*p*(p + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -373\/16 greater than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**3 - 5*x**3 - 2*x**3)*(-17 + 13 - 20).\nAnswer: 48*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + 22. What is the highest common factor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*h - h - h)*(-6*h**2 + 4*h**2 + 6*h**2) + (-6*h**2 + 4*h - 4*h)*(3 + 2 - 4)*(0*h - h - 3*h).\nAnswer: 68*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 6*c + 7. Let d be j(-5). Let u(k) = -235*k + 1880. Let f be u(8). Solve -2 = 3*h - 5*p - f*p, 0 = 2*h - d*p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 2\/5553161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.7 (b) -5\/218 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(77)\/sqrt(44) - (sqrt(56) - sqrt(56)*2)\/sqrt(8)) + -2 + (-4 + 5*-4*(sqrt(252) - sqrt(7)))**2.\nAnswer: 1603*sqrt(7)\/2 + 70014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -188 and -3\/155 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 - 16.95. Let b = -16 - f. Let c = 2 + 0. What is the closest to b in -3, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 7:50 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7728864 divided by 78.\nAnswer: -99088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 4. Let d be u(-3). Suppose d - 6 = g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 0*z + 0*z - 11. Let u(f) = -f**3 + 9*f**2 + 10*f - 5. Let l be u(10). Determine i(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09363 + 0.09363. Let i = -17 + 6. Let a = i - -6. What is the biggest value in g, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y + 318. Is -5 + 1 - 7*y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**3 - 21*o**2 - 20*o.\nAnswer: -12*o - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*k + 1)*(-3 + 3 + 1)*(4 - 1 - 4).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 0)*(-2 + 0 - 5)*(0*m - 4 + 3 + m) to k + q*m and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 21047549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b - 44 = -l, b + 20 - 62 = -4*l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 46 - 22. Suppose -4*m = -d + 1, m = -2*m + d - 2. Sort w, m, -5 in descending order.\nAnswer: m, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.08 - -0.22. Let p = 1.3 - c. What is the nearest to 2\/3 in -0.3, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -11*z - 8. Which is smaller: z or 19?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11998 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/15 - (-29)\/(-120). Let r = -1157 - -1161. What is the nearest to 1 in 1\/7, r, n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -95 - 103. Suppose -3*i + 888 = 2*q, 3*q + 896 = 5*q + 5*i. What is the remainder when q is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phip when four letters picked without replacement from psphsipphc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3 - 3 + 2*f. Suppose 3*l = -l. Let i(r) = l*r - 3*r**2 + 0*r + 5*r**2. What is i(a(w))?\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/290813 and -20\/119351.\nAnswer: 20647723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228088554?\nAnswer: 2, 3, 131, 290189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 6:09 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 29211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8)\/(2*1\/1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15258 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1533 and 16\/27.\nAnswer: 13797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {w: 5, d: 9}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 7 + 0)*-1. Let h(q) = q**3 + 4*q**2 + 6*q + 5. Let s be h(l). Let v = s + 87. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-4)*-1282*(-22)\/(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4705, 4, -5, -4, 0 in descending order.\nAnswer: 4705, 4, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32900*u**4 + 4*u**3 + 280*u**2 + u + 67?\nAnswer: 789600*u + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -5 (b) -1 (c) 1\/3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 2253\/9)*(-11)\/1122. Let u = o - -1\/34. Calculate the common denominator of 53\/9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18\/139 + -273\/1112. Let i = 9\/2 - 5. What is the closest to 0.1 in d, -12, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 13*f**2 + 14*f + 26. Let x be l(-12). Suppose 2*p + 3*g - 12 = 0, -x = -2*g + g. Suppose 6*i = 8*i - 4. Solve -a - p = i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a**(-1\/6)*a*a)**(-21)\/(a\/(a\/(a\/a**32*a)))**9)**(1\/15) assuming a is positive.\nAnswer: a**(337\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 179184.4 millilitres in litres?\nAnswer: 179.1844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2518*n + 469 + 1006 = -2543*n for n.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 9*x + 22. Let d be g(11). Suppose 0 = 4*o - 16 - d, 0 = 5*r + o + 1969996. Round r to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 15*h**2. Let c(i) be the first derivative of -i**6\/180 + 6*i**3 + i**2\/2 + 35. Let w(g) be the third derivative of c(g). Calculate z(w(d)).\nAnswer: 60*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 555 divided by 16\nAnswer: 555\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*w - x + 19, 13 = 3*w + x. Suppose 0 + w = 2*o. What is the highest common divisor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/7 - 15795*g**4\/7 + 62109135*g**3\/7 + 2065838935*g**2\/7 + 3945287280*g\/7 + 1941573276\/7 = 0. What is g?\nAnswer: -31, -1, 7914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1735 divided by -154.\nAnswer: 1735\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261692 - 131064 - 130628 + 109*a.\nAnswer: 109*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -25\/2, -724, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2, -4 in decreasing order.\nAnswer: -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5830 and 1749.\nAnswer: 17490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9965511 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 180, 190, 216, 264, 340, 450, 600, 796?\n\"Answer: z**3 + 2*z**2 - 3*z + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 204629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10071 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 - 150\/9. Let z be (-172)\/16 + 3\/4. Let i = z - l. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*l + 217*l - 5750 = 125*l for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208, 225, 240, 253?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81057 is divided by 183.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25 and 13.66.\nAnswer: -341.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*c*z - 493*c + 2*z**4 + 3*z**2 wrt z?\nAnswer: 19*c + 8*z**3 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**21\/s**(1\/27) assuming s is positive.\nAnswer: s**(566\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -8*k. Suppose -4*s = 2*o - 3 - 11, 2*s - 2*o - 4 = k. Suppose 6*z + s = 87. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 5*o - 3. Let a(c) = c**3 + 6*c**2 - 8*c - 5. Let d be a(-7). Let m be n(d). Let h(k) = 2*k + 3. What are the prime factors of h(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1636018050 to the nearest one million.\nAnswer: 1636000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 5*p - 12 = 0, 4*s + 26 = -p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1587 = 4*b + 5*p, -5*b = -0*b - 2*p - 1959. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47720083140 rounded to the nearest 1000000?\nAnswer: -47720000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1230 is divided by 291.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11322*w - 2307 + 15186 = -10168 + 403 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 175 + -239. Let x be -2*(n\/(-20) - 3). Which is the fourth smallest value? (a) 4 (b) x (c) 0.03 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b + 1. Let j be m(-2). Let c = j - -15. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 < 1114240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(182\/(-4))*3934\/(-281)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 299, 0.2, 795?\nAnswer: 299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - k + 7*m + 741 = 721, -4*m = -k + 14 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.151 or -823\/49?\nAnswer: -0.151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from {b: 2, k: 8}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**0)\/u)**(-5\/9))**(-2\/3)*((u*u**(3\/10)*u)\/u**(-1\/7))**19 assuming u is positive.\nAnswer: u**(3249\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -6*m + m + 13, c = -4*m + 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a millennium in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4324256 is divided by 87?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -4*a - 5*b - 31512, 5*b = 10. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 24, 0.5, 291?\nAnswer: 291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 15 = -0*l. Let n(i) = -2 - 55*i + i**2 + 55*i. Let s(d) be the second derivative of d**4\/6 - 2*d**2 + d. Give l*s(h) + 7*n(h).\nAnswer: h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*b - 18*b - 26*b - 35*b.\nAnswer: -136*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2\/9 - 663964*q\/3 + 63742592\/9 = 0. Calculate q.\nAnswer: -995978, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 4*d - 1134, 2*q + 0*q = -3*d + 426. What is the remainder when 2227 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*3*1)\/(sqrt(70)\/sqrt(40)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -337.3 - -337. Put 4, m, -284 in descending order.\nAnswer: 4, m, -284","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3567*x**3 + 6867*x**2 - 3033*x - 267.\nAnswer: -3*(x - 1)**2*(1189*x + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3080 + 13?\nAnswer: 3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 18*f + 67. Let c be l(-4). Let n be 8\/18*c\/(-33)*-18. Suppose 2 + 2\/3*u**2 - n*u = 0. What is u?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1 = 31. Let n(m) = -m - 1. Let b be n(f). Suppose -4*j = l - 3 - 47, j + 4*l - b = 0. Calculate the remainder when j is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-44)\/8 - -3)*(3 + -1). Let d(s) = -s**2 - 2*s. Determine d(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -27*z - 1104. Let b be n(-41). Sort 1, b, 4, 15.\nAnswer: 1, b, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4793283374 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.084.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, -28, -53, -88, -133, -188, -253?\n\"Answer: -5*m**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 45*k. Let t be z(1). Let g be 1\/(-4) - t\/(-84). Which is the closest to -2? (a) -3 (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.027 times -0.1\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 688\/5 - 138. Let c = -66 + 58. Let p = 21 + c. What is the closest to 0 in s, p, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*y - 5 = y, 10 = -2*g - 2*y. Suppose g = 4*q - 2*s - 10, 5*q - 2 = -2*s - 3. Solve p = -0 + q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -184257 by -3.\nAnswer: 61419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-102)*6\/4. Find u such that -4\/17 - 2\/17*u + b*u**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 210 = 2*d - 382, -s = -d + 292. Is d a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.037702+-8876.93617\nAnswer: -8875.898468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.88 - 0.12. Let k(g) = g + 7. Let t be k(-17). Let u be 3*(-2)\/t*1. What is the nearest to o in 0.1, -2\/11, u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -220*f - 182. Does 13 divide j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37416705466875 - 4.\nAnswer: 37416705466871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4142, 4139, 4128, 4103, 4058, 3987, 3884, 3743?\n\"Answer: -t**3 + 2*t**2 - 2*t + 4143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -1\/4 (c) -20.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxddddddddddxd. What is prob of sequence xxx?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 138681.3 + 2.0143561?\nAnswer: 138683.3143561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-163)\/((-660150)\/1260))?\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -9. Let w(v) = 6*v - 1. Let x be w(g). Suppose -2*r - a - 29 = -97, -x*r - a = -167. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234, -229, -224, -219, -214, -209?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 - -82. Let s = 19 - 5. Let b = n - s. Solve 0*y + b = -3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163\/12 + 167\/6. What is the common denominator of -59\/7 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/492756 and 71\/74660.\nAnswer: 2463780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13000 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9*w**3 - 960*w**2 + 616*w + 2083. Give s(106).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -24.9, 2, -40, 4\/7, 6\/7, 2\/33?\nAnswer: -24.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317438 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2783 - -2806. Calculate the remainder when 4137 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 344 + 3939. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w - 18 = 2*s, 4*w + s - 24 = 0. Suppose -l - w*l + 21 = 0. Calculate the smallest common multiple of 4 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, t: 3}. What is prob of picking 3 q and 1 t?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 0*p + 0*p)*(27*p - 27*p - 108*p**2).\nAnswer: 324*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**2\/5 + 3171431*p + 63428604\/5 = 0?\nAnswer: -15857151, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 3. Let t be (-6)\/8 + (2 - n). Suppose -21*a + 11 = -10. Which is smaller: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + 0 - 5 + 6*j - 1. Let i(u) = 2*u**2 + 5*u - 5. Let s(q) = -6*i(q) + 5*o(q). Let n(v) = 5*v**2 - 3*v**2 - 5*v**2. Determine s(n(a)).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31163\/8 + 3906. Let z = 2 - -2. Find the common denominator of (53\/z)\/(14\/(-4)) and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*c - c**3 + 129*c - 22*c - 40*c - 7*c**4 to a*c**3 + i*c + l + d*c**2 + r*c**4 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 20 - (-16 + 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8184.942 milliseconds to days.\nAnswer: 0.000094733125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -40902 divided by 114?\nAnswer: -6817\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 91844b (base 14) in base 9?\nAnswer: 10200701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d - 12. Let c be m(2). Let l(v) = -v**2 + 4*v + 7. Let k be l(5). Suppose 5 = k*b - b. Put 4, c, b in decreasing order.\nAnswer: b, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n + 8. Let h = -11 + 7. Let d(m) be the second derivative of m**2\/2 + m - 1923. Give h*d(c) + x(c).\nAnswer: -2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -287090000 to the nearest 1000000.\nAnswer: -287000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 141342539 a multiple of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 417931, 835856, 1253779, 1671700, 2089619?\nAnswer: 2507536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 + 2 = 0. Let d(l) be the first derivative of l**2 - 4*l + 3. What is the lowest common multiple of d(o) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -162 - 48952354553.\nAnswer: -48952354715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-50)\/(-8) - (-1)\/(-4). Suppose -v + 1 = -n. Suppose 5*t - 19 = 3*s, -5*t + 2*s = n*s - 1. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n**3 + n. Let u be r(-1). Suppose 2*j = u*j - 8. Solve -d**4 - 2*d + j*d - 2*d**3 + 1 + 0*d + 0*d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1434353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 - 0.3. Let w = c - 0.1. Let u = -1 + -1. What is the biggest value in -0.4, w, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12233 (base 5) to base 8\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -204, -154, -104, -54?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2419841\/10726 - -6996\/31. Calculate the common denominator of -23\/12 and w.\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*p + 406 = 411, o = 5*p + 29. Let x(h) = -8*h**3 - h**2 - 3*h - 2. What is the lowest common multiple of x(-1) and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 136\/(-102)*9\/(-2). Let c(h) = h**2 + h - 6. Let k(d) = 2*d**2 + 2*d - 13. Give s*k(n) - 13*c(n).\nAnswer: -n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 2*o**3\/3 + 5*o + 5. What is the derivative of k(d) wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r. Let w(j) be the second derivative of r*j**2 + 0 - 1\/12*j**4 + j + 0*j**3. Let y(x) = -2*x**2. Give y(w(z)).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, -2651, 1\/5, 0.1, 0, -2?\nAnswer: -2651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2731, -1 in ascending order.\nAnswer: -2, -1, 2731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-10)\/(-350)*-1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -2, 1, 2, 1, -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 9. Calculate the least common multiple of 5 and t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttntnt. Give prob of picking 1 t and 2 n.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 906 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3242\/15 - -216. Let h = -5 - -4.93. Let k = 0.17 + h. What is the smallest value in -3\/5, k, f?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0)\/((-1)\/5). Let j be (-3)\/(((-30)\/(-8))\/g). Put 2, 3, j in increasing order.\nAnswer: 2, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 34 (b) 0.5 (c) 155 (d) 3 (e) 31 (f) 0.4 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 4, v: 2, i: 3}. What is prob of sequence vv?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/3 - 568362592*k + 60569256747179712.\nAnswer: 4*(k - 213135972)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1480*d - 5. Let t(h) = 4438*h + 18. What is -7*j(v) - 2*t(v)?\nAnswer: 1484*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**3 + 2252*j**2 - 9056*j + 9072 = 0. What is j?\nAnswer: -567, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 266, 725, 1536, 2855, 4838, 7641, 11420, 16331?\n\"Answer: 26*y**3 + 20*y**2 + 217*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12120012120010 + 21?\nAnswer: -12120012112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*f - 3 = 0. Let z = -3 + f. Solve z*g = g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6420, -9454, -9100, -5358, 1772, 12290, 26196?\n\"Answer: 1694*c**2 - 8116*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2240 is divided by 775?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3354*i**4 + 2763*i**2 wrt i.\nAnswer: 80496*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2562 and 181818.\nAnswer: 11090898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 11*j**2 - 3*j + 1. Is v(2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16530, -33062, -49594, -66126?\nAnswer: -82658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 15*f**2 + f - 9. Let s be v(15). Let h = -6 + 10. Suppose 2*p - h*r + 20 = 0, -2*p + 2*r + 20 = s*r. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**3 - 3*d**2 + 8*d + 163. Let g(q) = q**3 + q**2 + 2*q - 1. Give -c(a) + 4*g(a).\nAnswer: -2*a**3 + 7*a**2 - 167","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16277.437 + 16270. Let n = 3.086 + g. What is n rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*b + 330. Let n = 749\/12 - b. Is -4 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-5*(sqrt(325) - (sqrt(325) - -1*sqrt(325))) - sqrt(325)) + sqrt(325) + 1 + -2 + 4)**2 + -2.\nAnswer: -50*sqrt(13) + 8124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 4*h**2 - 6*h + 1. Let k(y) = -y**3 + 4*y**2 + 5*y - 5. Let j be k(5). Give i(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -27*n**2 - 3*n - 7. Determine i(-2).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.036291491 from -0.1315.\nAnswer: -0.167791491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17241 is divided by 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -679 - -704. Let s(x) = -9*x + 231. Let j be s(o). Solve 0 = 2*m - 4 - j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-4*(1 + sqrt(704) + -1 + 1 + sqrt(704)))**2 + -2)*-3.\nAnswer: -135198 - 1536*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -49248793, -196995168, -443239125, -787980664, -1231219785?\n\"Answer: -49248791*y**2 - 2*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12764.\nAnswer: 2, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4531057, 9062112, 13593167, 18124222?\nAnswer: 22655277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**6 - s**2 + 4*s + 1. Let y(i) = -20*i**6 + 2*i**5 - 5*i**2 + 6*i - 13. Let c(j) = -2*v(j) + y(j). Find the third derivative of c(g) wrt g.\nAnswer: -2160*g**3 + 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*j + 2240 + 3628 = -792*j - 4846 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 570893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 9. Let s be g(9). Suppose s*z - 24 = -3*z. Let a = 3 - -5. Calculate the greatest common divisor of z and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (12 - -7) + -14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 6. Solve -t*w + 2 - 1 = 2*q, 2*w = -5*q + 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14234)\/(-3)*(6 - (-18)\/(-4)). Suppose -2*t + m = 9*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*x = 15*x - 9310. Calculate the remainder when x is divided by 43.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 5. Let m = 19 + 32. Let c(k) = -25 + m - 30 + 3*k. Give c(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/4 - 18226741*h\/4 + 9113371\/2 = 0 for h.\nAnswer: -18226742, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**5\/30 - 1099*g**2. Let d(l) be the third derivative of 0*l**3 + 0 + 0*l**4 + l**2 + 1\/60*l**5 + 0*l. Determine d(q(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 + t**2 - 538 + t**2 - 5*t + 279 + 266 as u*t + p*t**3 + j*t**2 + i and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 143.2234 - -4\nAnswer: 147.2234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/44*(-6)\/(-14).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 6 + 9. Suppose 0 = x*j + 6 - 651. Suppose -u = i - 43, -5*u + 0*i - i + j = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-14))**1 assuming u is positive.\nAnswer: u**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*h**5 - 23*h**5 + 8*h**5 + (-3*h**3 + 3*h**3 + h**3)*(-h + h + h**2) + 2*h**5 + 3*h**5 - 3*h**5 + (26*h**3 - 26*h**3 - 13*h**5)*(5 - 3 - 1).\nAnswer: -14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -306 in descending order.\nAnswer: 2, 0, -306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iied when four letters picked without replacement from {k: 4, e: 4, o: 3, d: 5, i: 3}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 72\/5 of a gram?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x - x**2)*(3336*x**2 + x - 3338*x**2 - 4614 + 148).\nAnswer: 2*x**4 - x**3 + 4466*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 20 = 0, 2*v = -8*f + 4*f + 458. Let t = -1991\/9 + v. Let p be (4\/10)\/(2\/10). What is the smallest value in 3, t, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = 45 + 3. Suppose -2*p + v = -57 - 4, -m*v + 185 = 5*p. Calculate the remainder when p is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 4c69893?\nAnswer: 4c6988a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - i**2 + 13*i. Let p(n) = -n**2. Give 2*p(l) - u(l).\nAnswer: l**3 - l**2 - 13*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3615, 28849, 97107, 229899, 448735, 775125?\nAnswer: 1230579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173 divided by 15118.\nAnswer: 173\/15118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + sqrt(192) + ((1 + sqrt(192))**2 - sqrt(192)) + sqrt(192))*-6 + ((0 + 1 + sqrt(192))*-1*-1)**2.\nAnswer: -984 - 128*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 215, 0, 5 in descending order.\nAnswer: 215, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12157429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3083 + -2022. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h = 5*q + 22*h - 37, -4*q - h + 17 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(77)*-3*-6 + sqrt(77) + sqrt(77) - sqrt(77)) + sqrt(77) - sqrt(77))*-5)\/(sqrt(891) + -1*sqrt(891) - (2*sqrt(396) - sqrt(11))).\nAnswer: 95*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414 + 69*o**2 - 71*o - 414 - 71*o**2.\nAnswer: -2*o**2 - 71*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/3504 and -13\/480.\nAnswer: 35040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16965)\/(-90480))\/(3\/(-368))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36933 is divided by 6152?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 36*b**2 - 2*b - 406. What is the tens digit of l(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49061772 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**4\/12 + 19*t**2\/2 - 6*t. Differentiate a(o) with respect to o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + -2 - (-195 + 130)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - -0.5. Which is the nearest to 0? (a) -2\/21 (b) p (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 74*p**2 + 9*p + 10. Determine q(-1).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(270)\/(sqrt(27)\/sqrt(3) + sqrt(9) - sqrt(9)))\/(sqrt(70)\/sqrt(7)*5).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*m - 3 + (3 - 1 + 0)*(4*m - 2*m - m))*((-2 + 1 - 1)*(3 + 0 - 1) + 55 + 43 + 121)*(17*m - 6 + 6).\nAnswer: 14620*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.59 - -0.01. Let j = i + -0.9. What is the third smallest value in 4, j, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -39 and -1.085593452.\nAnswer: -40.085593452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9262, 9272, 9294, 9334, 9398, 9492?\nAnswer: 9622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9*z**3 - 2*z**2. Let q be l(2). Suppose q = -4*f - 4*f. Let k be f\/(-24)*9\/1. Solve k*x = -0*x - 3*u, -x - 5*u = 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 35 = -t, -2*t + 28 + 22 = 4*v. What is the remainder when 191 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 137189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**8\/560 - 13*b**7\/350 - 46*b**2. Suppose t(m) = 0. Calculate m.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfpz. Give prob of sequence fzpz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*u - 65*u - 100*u)*((-3*u**3 - 3*u**3 + 4*u**3)*(-1 + 1 + 2*u) + 6*u - 6*u + 55*u**4).\nAnswer: -4692*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128687 is divided by 4758?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(5 - 2))\/1. Let p(v) = -v**3 + 3*v**2 + 3*v - 4. Let x be p(3). Let f be -2 - (x\/7 + -3). Sort b, 3, f in decreasing order.\nAnswer: 3, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/92 in 12, 3\/2, -6, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, w: 7}. What is prob of sequence wwwh?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(256))**2 + (sqrt(10)\/sqrt(2)*4 - (1 + sqrt(20) - sqrt(5))**2).\nAnswer: -379\/64 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -33, -60, -101, -162, -249, -368, -525, -726?\n\"Answer: -j**3 - j**2 - 17*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -19, -3, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -877 + 4067. Is y a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -61*n - 1. Let w(z) = 61*z. What is 2*a(p) + 3*w(p)?\nAnswer: 61*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 6*g - 3*g)*(-11*g - g**4 + 11*g) - 13*g**5 - 53*g**5 + 15*g**5.\nAnswer: -53*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 12c27?\nAnswer: -12c20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -31519770 rounded to the nearest 100000?\nAnswer: -31500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 26*b + 131. Let q be s(-5). What is the closest to -0.1 in -2, 0.4, q, -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21081\/4 + 5271. What is the closest to -1\/3 in 0.3, o, 452?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*h**3 - 11*h - 133*h**3 + 11*h.\nAnswer: -213*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1034684006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**2 + 5*s**2 + 0*s**2 + 5*s**2 to r*s**2 + d*s + f and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 63. Suppose -5*m + 3*z + 13 = y, -5*z - 10 + 3 = -m. Solve -s + 2 = 0, -2*s + 18 = 5*u + m*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3. Let o(y) = -y**2 - y - 16. Let v(p) = -2*o(p) - 11*q(p). Let g be v(-2). What is the units digit of 1\/g + 28\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-7)\/((-28)\/(-8))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + n**2 - 2*n - 42. Let m be p(0). Let o = m - -45. Let r be 2\/(-3)*(-3)\/(-7). Which is the third biggest value? (a) 1\/6 (b) r (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70235*r**2 - 11202*r**2 + 26*r - 36694*r**2 + 14*r.\nAnswer: -118131*r**2 + 40*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = -u + o - 18, 2*o = u - 196. Let x = -114 + u. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*g - 31*g - 20. Suppose 3*k - g*k - 2*k = 0. Solve 4*r + 6 = 3*s, -4 = -2*s - 4*r - k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 3*b**7\/49 - 8*b**6\/105 - 11*b**5\/70 + 5*b**4\/21 + 7*b - 20. Factor h(w).\nAnswer: 2*w**2*(w - 1)**2*(9*w + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 0.3, -195420, -2\/7, 1\/5 in descending order.\nAnswer: 0.3, 1\/5, 0.03, -2\/7, -195420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 11*r + 20. What is x(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 4:47 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 289*(-10)\/(-45) + ((-553)\/(-63) - 9).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 146 (c) 17 (d) -1\/5 (e) -2\/7 (f) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 432238 a multiple of 471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 10, -4, 3 in increasing order.\nAnswer: -6, -4, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence te when two letters picked without replacement from edptxdd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2453581 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*z + 5*j, -2*z + 3*j - 5*j = -44. Calculate the common denominator of (-694)\/90 - (-18)\/30 and -3 - (129\/z - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167026, 668196, 1503510, 2672962, 4176546, 6014256?\nAnswer: 8186086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -153 + 1908*o + 1223*o - 3771*o. Is a(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 2122?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/156 or -196?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138 + -121. What is the remainder when b is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 0.3. Let j = 0.3 - s. Let y = j + -0.4. Is 2 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 387838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 24910\/(-9964)*62\/5\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2024*r**2 + 7 + 5 + 2030*r**2 + r. List the prime factors of d(-4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4416292.9 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4425892?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1117466*u**2 - 809188?\nAnswer: 2234932*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -11*b - 19. List the prime factors of z(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71162 or -71147?\nAnswer: -71162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 138, 213, 292?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 1)*-1 + -70628. Let c = -101129 - u. Let f be (1*400)\/(2\/c). Round f to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 61427*t**2 - 3 + 0 + 61948*t**2.\nAnswer: 521*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1146 and -113\/150.\nAnswer: 28650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239, -232, -213, -176, -115, -24, 103, 272?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 562409 = -o - 760674, -2*o = 5*l + 2646145. What is o rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*a**2 - 489*a**2 + 115 + 120 + 3*a - 236.\nAnswer: -389*a**2 + 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -5, 4, -1143, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72052615 + 4*c - 3*c + 144105230 - 72052615.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-4)*36\/(-27)*(-110)\/10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2801, 5851, 9041, 12371, 15841?\nAnswer: 19451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 89140 and 0.3?\nAnswer: 89139.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1411975*w**4 - w**2 - 2*w + 58087628 wrt w?\nAnswer: -5647900*w**3 - 2*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40.331267867 - -0.031038867. Let x = -142.3 + 102. Let d = l - x. Round d to 5 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-72)\/14 - (-5)\/35. Calculate the lowest common multiple of 14 and 4\/(-6)*-3 - g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77863575*o*z**3 + 11*o*z**2 + 2*o - 788*z**2 - 67 wrt z?\nAnswer: 467181450*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/8)\/((-3)\/(-8)). Let r be (0 - -1)*(-1 + -2). Let b = c + r. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1754*b + 170*b = -1108 - 68588 for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (75*a**2 - 18 + 7 + 9)*(4*a - a - a)*(-1 + 1 + 3) in the form c + n*a + d*a**3 + p*a**2 and give d.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3331325, -6662650, -9993975, -13325300?\nAnswer: -16656625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -542088 - 0.3\nAnswer: -542088.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*m + 16*m + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (6\/(-27))\/((-226)\/(-6441)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**2 - 2*t**2 + 6*t**2)*((-2*t + 2*t - t)*(-1 - 3 - 5) - 1 - 2*t + 1) to the form x + h*t**3 + y*t + w*t**2 and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(176) + sqrt(11) + sqrt(11))*-5 + 0 + sqrt(1584) + 3)**2 + 0)*-1.\nAnswer: -3571 + 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1358 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 1 (c) 0.3 (d) -69 (e) -4.794\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p - 15*p + 4 + 326596*p**2 - 4.\nAnswer: 326596*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33177156*h**3 - 38181364.\nAnswer: -99531468*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -85142.556 to the nearest one thousand.\nAnswer: -85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 16*g**2 + 1.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6461228ug in milligrams?\nAnswer: 0.0006461228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**6\/120 + b**5\/6 + 7*b**4\/12 - 5*b**3\/3 + 7*b**2. Let c be p(11). Suppose 2*d = d + c. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9664*t + 3735 = -9581*t for t.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 265695218 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.278316 + 51.3760025.\nAnswer: 51.0976865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 + 3*i + 138. Let n be b(0). Suppose -n*w + 112 = -154*w. Let y(c) = c - 2. Calculate y(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -770*w + 2313. Give z(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 7*n**2 + 5*n + 4. Let v(w) = -3*w**3 + 20*w**2 + 14*w + 11. Let h(p) = -11*g(p) + 4*v(p). What is the units digit of h(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -30 - (-1525 + 1567)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 1147 = -1129 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xux when three letters picked without replacement from uwwuxwwwwwx?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2654 (base 8) to base 2\nAnswer: -10110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = -4*s - 3, 4 = -4*d - 4*s. Suppose -2*r = -6*r + 5*a + 629, d = 5*r - 5*a - 790. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**4\/6 - 11*b**3\/6 + 7*b**2. Suppose 3*i - 27 = 6*i. Let u be y(i). What is the highest common factor of u and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 3651152.\nAnswer: -730230.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1.4. What is the closest to 2 in 2, -2\/11, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**2 + 8*m**2 - 279*m**3 + 282*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 12 = -5*p. Suppose 2*b + p*w = 166, -83 = -b + 2*w - 4*w. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u - 30303 = 57 + 45240. Is u at most -4200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 13 = i, 0 - 7 = -3*r - i. Suppose -3*w + 52 = g, 4*w - 6*g = -r*g + 78. 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: Calculate prob of picking 2 y and 1 b when three letters picked without replacement from {b: 2, d: 2, y: 3, m: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -0.4, -1, -0.064, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + 1 + sqrt(3) - sqrt(3))*6) + -4.\nAnswer: -10 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2911*g**2*l**6 + 20*g**2*l**3 + 234691*g**2*l**2 - g*l**2 wrt l?\nAnswer: 349320*g**2*l**3 + 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00162231085 rounded to 6 dps?\nAnswer: -0.001622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43340 and 1760?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22578 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2203 = -5*w + 52. Suppose 455*h - 20 = w*h. Calculate the greatest common factor of 80 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -686000 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 2*f**3 - 3*f**3 + 5*f**2 - 4 - f**3. Let s be w(5). Let c(n) = 2*n + 8. Let d be c(s). Solve d*t = 4*t - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -1. Let u be ((2 - -3) + o)*1. Let m = 3 + -1. Which is the third biggest value? (a) -2 (b) m (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-6)*(-285)\/20. Solve c + 19 = -5*p, 4*p + 4*c + f - 7 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 94*z - 99*z = -175, -z + 29 = 5*r - 29 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 141467, 282933, 424399?\n\"Answer: 141466*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1265579 is divided by 421714.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0*m**2 + 2*m**2 + 0*m**2 in the form k + v*m**2 + f*m and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 4017.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-4))\/(((-567)\/(-72))\/9). What is the nearest to i in 0, -2\/45, 0.01, 3?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 4, 2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 - (-4 - (-2 + -4)). Suppose 0 = 5*w - 10, -14 = 4*y - 4*w - 198. What is the greatest common factor of f and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**3\/15 - 23*q**2\/10 - 10*q + 123. Factor r(v).\nAnswer: (v - 25)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*l = -45*l - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -622*o**3 + 8 - 63*o**2 + 21*o**4 + 4 - 24*o + 616*o**3 = 0.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 2. Let m(t) = -9*t**2 + 2*t - 35. Calculate m(w) - 4*n(w).\nAnswer: -5*w**2 + 2*w - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -599756, -1199474, -1799192, -2398910, -2998628?\nAnswer: -3598346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2358 - 2358 - 7*f**3 - 3*f**3 + 2*f**3 + 3*f**3 + (-1 - 2*f + 1)*(0*f - 2*f**2 + 0*f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 2. Let z be ((-7)\/(-2))\/(1\/r). Let g be -3 - (1 - 6 - (-3 + 4)). Calculate the greatest common divisor of g and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11003533 (base 6) to base 7.\nAnswer: 2532432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 51*c + 45*c + 288 = -30*c, -18*i = -17*i + 3*c + 36 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + -1 + sqrt(833))*2.\nAnswer: -2 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.1, 0.8, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82021 divided by 10?\nAnswer: 82021\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + a = 3*l, 0 = 5*l + a. Suppose -2*o + l*o = -12. Suppose 72 = 4*v - 0. Calculate the smallest common multiple of v and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*j + 115*j - 301 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 570400495 by -114080099.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 717 - -5375?\nAnswer: 6203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -11*t - 6. Let d be s(-2). Suppose -a - d = -5*a. Solve -2 = l - a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 0*w + 0*w - w. Let i be (2\/(-5))\/(5\/(-25)). Let l(x) = -2*x**2 + 0*x**2 + 0*x**i. Give g(l(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**4 + s**3 - s**2 + 4. Let l be b(2). Let o = 41 - l. Solve -4*q - q + 15 = 0, -5*x - 2*q = -o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 48171, 48012, 47853, 47694, 47535, 47376?\n\"Answer: -159*u + 48330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/2 - 1)*6. Suppose -s*x - 35 = -8*x. Suppose -10*t = -277 + 7. What is the remainder when t is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2*f - 7)*(-8*f**2 + 9*f - 9*f).\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 8*x**2 - 21*x + 133. What is y(6)?\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = -b + 5*m, -5*b + 51 = 3*m. Calculate the remainder when ((-12)\/b)\/((-3)\/72) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 56*l - 229. Let d be g(4). Let m(p) = -5*p - 5. Calculate m(d).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*z**2 + 15*z**2 - 76*z**2 + (1 - 4 + 5)*(4*z - 4*z + 2*z**2) as j*z**2 + l + t*z and give j.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*j = -15, -4*j - 2 = 2*y - 14. Suppose -3*u - 12 = 0, y = v - 0*v + u - 7. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 6*u**3 + 4175*u**2 - u - 2525*u**2.\nAnswer: -6*u**3 + 1650*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 40. Let v(s) = 7*s - 10. Let y be v(5). Let a = y - p. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 739*l - 740*l - 7, 5 = -r + 4*l. Sort r, -75, 2, 5, 0 in ascending order.\nAnswer: -75, 0, 2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) -2\/11 (c) -1\/38 (d) -814 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/3)\/(1\/6). Let i be (-5)\/1*(-6 + (-4 - -9)). Suppose i*p + 0*s = 4*s - 2, -p + 8 = 2*s. Is p greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*1 - (-224)\/56. Suppose -f - f = -2*w + 1472, -3*w + 2226 = s*f. What are the prime factors of w?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3252, 3291, 3360, 3465, 3612, 3807, 4056?\n\"Answer: z**3 + 9*z**2 + 5*z + 3237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002753 rounded to six dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 351604 + -1744004. What is g rounded to the nearest ten thousand?\nAnswer: -1390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.2 - -32.2. Let f = 24.010701838 - 0.010702478. Let g = j - f. Round g to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -968*d + 487*d + 484*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -1\/8, -4\/7, -3\/5, 1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 3. Let a(n) = n**3 - 4*n**2 + 4*n. Give a(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7*1990\/140 + (-2)\/(-4) and 390?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 9)*1\/10. Let n = -11 + 9. Put -1, m, n in descending order.\nAnswer: m, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/22)\/(315\/1575)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2225194?\nAnswer: 2, 1112597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - q + 1. Let h(f) = -185*f**2 - 74*f + 74. What is -3*h(p) + 222*s(p)?\nAnswer: 333*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.1, 2\/5, -15, -0.4 in decreasing order.\nAnswer: 2\/5, 2\/9, 0.1, -0.4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 1:35 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -27. Suppose 0 = 4*y + 3*o - 21, 0 = -y + 6*y + o - s. Let u = -17554\/63 - -1952\/7. Which is the nearest to y? (a) 0.3 (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -16*n - 2*u + 2, 3*n + u = 1. Factor n - 2\/5*p**3 + 2\/5*p + 1\/5*p**4 - 1\/5*p**2.\nAnswer: p*(p - 2)*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323992 to the power of 1\/2, to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/32 in -0.4, 3, 77\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72718?\nAnswer: 2, 103, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1333862*o*w**3 - 3*o*w - 1336435*w**2 wrt w.\nAnswer: -8003172*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**2 + f**2 + 5*f - 1 + 3*f**2 - f**2. Let y be c(4). Let g = 3 - y. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**6\/240 + i**5\/20 + 13*i**4\/12 + 2*i. Let d(z) be the third derivative of v(z). Give d(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, y: 3, l: 4, n: 1, b: 2, h: 3}. Give prob of sequence lm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 273 + -3001\/11. Let n = -32092\/112273 + 2\/16039. What is the closest to 0.05 in f, n, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5 + 50*j**4 + 326*j**3 + 342*j**2 - 720*j = 0 for j.\nAnswer: -15, -8, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v - 2*v + 4*v**2 - v**2 as j*v**2 + h*v + i and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 279618 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*z**2)*(-3277*z**3 - 36*z - 2*z**2 + 3275*z**3 + z**2).\nAnswer: 4*z**5 + 2*z**4 + 72*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {b: 3, a: 17}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 d, and 1 w when three letters picked without replacement from {v: 1, m: 1, w: 6, d: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00323935696 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**5\/20 - a**4 + 7*a**3\/3 + 17*a**2\/2 + 493*a + 1. Give m(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21004 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -155*n**4 - 650*n**3 + 35*n**2 + 650*n + 120 = 0.\nAnswer: -4, -1, -6\/31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27571422?\nAnswer: 2, 3, 47, 97771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 18864717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -164 - -168. Solve h*k = 4*y + 8, -1 = 4*y + 7 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-10)*1 + 152\/10. Suppose 51 + 54 = t*l. Let j(p) = -p**3 + 8*p**2 - 6*p - 5. Determine j(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - d + 1 = 0, 5*p - 9*p + 7 = -5*d. Let h(q) = q - 3*q**3 - q**2 + 2 + 3*q**2 + 2. What is the units digit of h(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j**2 + 9*j**2 + 5*j**2)*(30 - 44 - 34) to y*j + w*j**2 + t and give w.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.8 + 6.49. Let m = x + 0.264. Let n = -1.646 - m. Is n smaller than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.3 - -3.73. Let s = z - 0.03. Let b = -2 + 1. What is the third smallest value in b, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -540825.5\nAnswer: -1081651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 + 42 = -13*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (175\/(-70))\/((-18)\/(-4))*9\/(-15)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s. Suppose 3 = k - s*k. Is 1*(383 - 2)\/k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + a**3 - a**3)*(2*a**2 + 0*a + 4*a - 5*a).\nAnswer: -2*a**5 + a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.08 (b) 4 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0045 + -450233.53\nAnswer: -450233.5345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 16*q**2 + 2*q - 8. What is the tens digit of r(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*z + 31*z - 814. Which is the closest to 0? (a) -2\/59 (b) 3\/2 (c) z (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.691 to zero decimal places.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = d + 2*p, 4*d + 14*p - 12 = -8*d - 2*p - 20 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 16, t: 1}. What is prob of picking 2 e?\nAnswer: 15\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 8*g + 2*g)*(-g**2 + g**2 + 2*g**2) + 0 + 0 - 3*g**3 + (6 - 6 - 3*g)*(-3*g + 2*g**2 + 3*g) + 59 + g**2 + 2*g**2 - 60 - 2*g**3.\nAnswer: -3*g**3 + 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130)\/((-365040)\/(-156))*-174.\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71403 - 331953 = -12*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*g - 32 = 13 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2986 - -2978. Which is the biggest value? (a) -6 (b) s (c) -2 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.19 + 0.11. Let y be 3\/5 + 35\/(-100). What is the closest to 1 in p, -1, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (((-168)\/12 - -5) + 39). Let w(d) = 2*d**2 + 58*d + 102. Give w(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/7 + 182640*i\/7 + 2779780800\/7.\nAnswer: 3*(i + 30440)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 31 - 15)*(2*h + 3*h - 3*h)*(3 - 2 - 2)*(2 - 2 - 1).\nAnswer: 58*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 972688034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h - 3255 + 3055 = 0. Let x be -1 + 2*3\/6. Solve x = -h*j + 9*j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1433*r**2 - 632*r**2 - 512*r**2.\nAnswer: 289*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/15*(-2 + 7). Suppose 0*h + 2*h = 6, 0 = -3*j + g*h. Suppose -j*k - k = -12. Solve 11 = -4*d + s, -16 = k*d + 3*s + 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 4:50 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 159509.6 and 18.5?\nAnswer: 2950927.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 6) to base 10\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a + 20. Let t(q) = -3*q + 21. What is -4*t(i) + 5*x(i)?\nAnswer: 2*i + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -632, -350, -68, 214?\n\"Answer: 282*b - 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.89138 rounded to two decimal places?\nAnswer: -9.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3433854 to the power of 1\/2, to the nearest integer?\nAnswer: 1853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 395 + -686. Let a = l + 296. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14840, 14878, 14934, 15008, 15100, 15210, 15338?\nAnswer: 15484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 15*p**4\/4 - 125*p**3\/6 - 15*p**2 + 10*p + 35. Let t(a) be the first derivative of h(a). Let t(s) = 0. Calculate s.\nAnswer: -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/659934 and -145\/858.\nAnswer: 8579142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**4\/12 + 5*v**3\/6 + v**2. Let d(h) = -1. Let c = -98 - -99. Determine c*p(r) + 5*d(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.68 + 3.680331. What is m rounded to five decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11534 (base 6) in base 4?\nAnswer: 122302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 297 = 5*b, -5*b + 0*o - 3*o + 303 = 0. Suppose -10*w + b = 10. Solve -w*c = -20, -4 = -0*k - 3*k - c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 12. Let r = -12.15128 + 0.15128. What is the third smallest value in y, 0, 1\/5, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t - 6*t - 7*t. Let u(v) = 2*v. Let d(w) = 5*w + 4. Let l(f) = 9*f + 7. Let c(q) = 7*d(q) - 4*l(q). Let i(h) = 5*c(h) + 2*u(h). Calculate i(s(o)).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgsfxggswsgg. Give prob of picking 1 g, 1 f, and 2 x.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -24. Let w be r\/(6*2\/8). Solve -2*i - w = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-380)\/(-70) - 4 - 115\/7\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209792 and 219008.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + t - 3. Let s be o(-3). Suppose 3*y + 27 = -5*w, 0 + s = 3*y. Let m(h) be the first derivative of h**3\/3 + 4*h**2 + 9*h - 1. Determine m(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-84) + ((-2795)\/312 - -9)\/((-4)\/24)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 0 + 11 + -27 - -5 - -4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44199002 is divided by 516?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4508 is divided by 572.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 991 is divided by 186?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 516020 and 80.\nAnswer: 2064080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3702599.\nAnswer: 257, 14407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 0. Suppose 2*k - 3 = -5*b, 3*b = -x*k + 1 - 2. Which is greater: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -391, -517, -643, -769, -895?\nAnswer: -1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7024 - 7022. What is the closest to -2\/11 in 1\/8, 3, y?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c + 6. Let g = 8 - c. What is the remainder when g is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 minus -3366?\nAnswer: 3368.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*t + 250*t + 23 = 1103 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 34505 and 0.4.\nAnswer: 34505.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -27\/124, 3, -12 in ascending order.\nAnswer: -12, -0.4, -27\/124, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g - 623. Suppose g = -p - 590. Let m = -4813\/4 - p. What is the common denominator of m and 75\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 45888*w + 10247. Let c(m) = -82600*m - 18445. Let n(p) = 11*c(p) + 20*o(p). Find the first derivative of n(s) wrt s.\nAnswer: 9160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 109*s**3 + 4*s**2 + 1. Let b(z) = -325*z**3 - 14*z**2 - 3. Give -2*b(y) - 7*o(y).\nAnswer: -113*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 611.7 - 629.7. Which is the closest to 2? (a) -0.1 (b) h (c) -4\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(2) + (sqrt(2) - sqrt(4)\/sqrt(2)) + 1))**2 - ((sqrt(8) + -4 + sqrt(2))**2 - (sqrt(288) + 0))) + -2.\nAnswer: -33 + 38*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 40555.2ml?\nAnswer: 40.5552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 7729872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13310 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 333 - -3?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*z + 26 = -7*z, 4*z = -3*c + 2. Suppose -158 = -c*x + 166. What is the greatest common divisor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -471.2 - -387627.\nAnswer: 387155.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - 0\/1)*-5 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (sqrt(98)*-1 + 3)) + -6*(1 + sqrt(98) - sqrt(98)) + (-6*2*(-2 + sqrt(98)))**2.\nAnswer: -4018*sqrt(2) + 14679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -22*n - 13. Let l(v) = 23*v + 14. Give 7*f(m) + 6*l(m).\nAnswer: -16*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + 2 + -2 + -1*sqrt(19) + ((sqrt(304) - sqrt(304)*-1)\/sqrt(8))\/(2*sqrt(32)).\nAnswer: -3*sqrt(19)\/4 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118 + -117.068. Let f = 8.242 - a. What is f rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -4*h + 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oooowooo.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71885120 and 640.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/13 (b) 1 (c) -6.3 (d) 34 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Convert 211111 (base 3) to base 14.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-168)\/105*3\/(6\/(-10)). Solve -7*p - p + x = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 + 3*m**2 - 223*m + 35. Let n be b(10). Calculate the highest common divisor of n and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9e7e520 - -3?\nAnswer: 9e7e523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/8, -0.1, -5, 23?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*n + 4*n + 9*n)*(-3 + n + 3) - n**2 - 3*n**2 + 2*n**2 to d + x*n + r*n**2 and give r.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1026 and 1637631.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 times 789667\nAnswer: 165830.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -766584 divided by -191646\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 8:52 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 1\/8431, 0 in descending order.\nAnswer: 2, 1\/8431, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + s - 2 = 1, 5*c - 4*s = 60. Suppose -32 = 4*n - c. Let v(b) = b + 8. Determine v(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 - 19*a**2 + 9*a + 3. Let q be j(9). Suppose -1 = -q*z + 8. Calculate the highest common divisor of z and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -3. Let w be 1\/(-2) - 3\/(-4). Let p = -31.821 + 32.121. What is the nearest to n in p, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.08 and -3.363?\nAnswer: -17.08404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 187\/(-51) - 2\/6. Let i be (1\/(-3))\/(m\/2244). Let d = i - 127. Calculate the lowest common multiple of 4 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*g**5 + 83821245*g**3*t**2 - 32*g**2*t**2 - 564*g**2*t - 35*g*t**2 - t wrt g?\nAnswer: 420*g**2 + 502927470*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 21*z - 3 = 0. Solve 3*s + 0 - z = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 + 28*t - 14*t - 16*t + (-1 - 2*t**4 + 1)*(3*t + 0*t - 2*t) + 3*t**5 - 4*t**5 - t**5.\nAnswer: -3*t**5 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/(-63))\/(-1) - 9\/(-21). Let n(j) = 10*j + 4. Give n(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 298515360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 139*z**3 + z**2 - 48*z - 17. Is a(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 490641 and 402.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48670863\/64 + -760440. Let f = o - -17\/64. Calculate the common denominator of f and 19\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -7*o**4\/24 - 32*o**2. Let h(j) = 36*j. Calculate -2*h(w) - 11*m(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/18 + (-616)\/48?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -145 - -178. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 46\/6 - (-112)\/(-16). Which is the nearest to -1\/2? (a) x (b) 5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 988 is divided by 36?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.869 + 6.869. Sort -2, 0, 4, 5, d in increasing order.\nAnswer: d, -2, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -806 + 804. Sort 3, 2, 11, y.\nAnswer: y, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(364)\/(sqrt(7)*3) - (sqrt(52) + sqrt(416)\/sqrt(8))*5)\/(sqrt(64)*3*4 - sqrt(64)).\nAnswer: -29*sqrt(13)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/5)\/u*u)\/u**(1\/16))**21*(u**(-1\/2))**(-49)\/(u**(-2)*u)**(3\/8) assuming u is positive.\nAnswer: u**(1549\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1213 divided by 472667.\nAnswer: 1213\/472667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**4\/4 - s**3\/6 + 5*s**2 - 15. Let o = -37 + 31. What is z(o)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-72)*(-336)\/14?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/171 and 97\/842?\nAnswer: 143982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 4594535.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -658*c**5*h + 19*c**3*h**2 - c**3 + 501*c**2*h**2 - c**2 - 2*c*h**2 - 5 wrt c?\nAnswer: -39480*c**2*h + 114*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 247 = 3*c - 10*u, -u + 217 = 3*c. Calculate the remainder when c is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 834 and 79.\nAnswer: 65886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84646787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 - 3. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 7*y - y)*(6*y + 2*y + 0*y)*(2*y - 8*y - 10*y).\nAnswer: 1024*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-4)\/(-16)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/147*-7 + (-2)\/7. Let s(h) be the first derivative of h**3\/3 + h**2\/2 + 14*h - 2. Let r be s(k). What is the highest common factor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31.7 - -32. Which is the closest to -4? (a) -3\/2 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3234459 + 246230 = 158*i - 3632313. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6121 (base 7) to base 14.\nAnswer: ab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*g + 67, 0*g + 4*a + 58 = 3*g. Let t be (-4)\/(-6) + 222\/g. Let p = -13 + t. Solve -2*s + 1 + 5 = p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 915747.4km?\nAnswer: 915747400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 153107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2698 is divided by 143?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-1)\/15*-5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 7*l + 2. Let v be k(7). Suppose y - 3 = t, -1 = -3*t + v*y - 5. Solve 3*u = t*u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2284.1 + 2284. Which is the nearest to 2\/3? (a) -3 (b) 4 (c) z (d) 2\/39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 1. Let r(i) = -2 + 2*i + 1 - i. Let k = 11475 + -11476. Determine k*v(g) + r(g).\nAnswer: -g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19875565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 216873664 divided by -33551?\nAnswer: -6464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -55, -119, -209, -325, -467, -635?\nAnswer: -829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 = 1. What is the second derivative of -20*v**3 + j*v + 41*v**3 - 13*v**3 wrt v?\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*c**2 + 21376*c\/3 + 42608\/3.\nAnswer: 4*(c + 2)*(9*c + 5326)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 292951 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: What is 19\/4 of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.51, -4, 6\/1825?\nAnswer: 6\/1825","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4\/7, -0.2, 64558?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llp when three letters picked without replacement from {d: 1, p: 1, l: 4, k: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -104206.4509 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 12:06 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91334 + -91334.000125194. What is o rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w = -3. Let p be 15\/w + 2*1. Let z = 7.7 - 8. Which is the smallest value? (a) -2 (b) z (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**2 + 21*v**2 - 14*v**2 + v - 57*v + v**2 - 31*v.\nAnswer: -4*v**2 - 87*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzwwwwwzwzwzz. What is prob of picking 1 z and 3 w?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d. Let c(x) be the first derivative of 0*x - 4\/3*x**3 + 0*x**2 + 10. Calculate c(f(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 5, 0.2, -6.1?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ccgcgcccggcg.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 - 2*n**2 + 5*n**2 + (1 + n - 1)*(-5*n + 3*n + 3*n))*(2*n**3 + 1 - 1) - 12*n**3 + 12*n**3 - 15*n**5.\nAnswer: -17*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**3 + 7210*p**2 + 124105*p - 131310 = 0. What is p?\nAnswer: -18, 1, 1459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50712*b**3 + 50526*b**3 - 101234*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 292332 and 216.\nAnswer: 5261976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0028204006 rounded to 5 dps?\nAnswer: -0.00282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143 + 3\/(6\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (100\/15)\/(1\/123). Suppose 0*o = -4*o + j. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7)\/((-2)\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 158 - 163 - 25*i**2 - i + i**3 + 0*i**2 to z + r*i**2 + o*i + w*i**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 16 - (-3 - (-3 - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 4*q**2 - 6*q + 3*q + 6*q.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 3 (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 319185 and 3321?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 24*n - 139. Calculate the smallest common multiple of r(5) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 7:34 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 27.2 (b) 1\/3 (c) 6\/7 (d) 0 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 3)*(3*h - 3*h + h**3) + (-10*h - 12*h + 9*h)*(4*h**2 - 2*h**2 + 0*h**2) to the form t*h**3 + o*h + b*h**2 + n and give t.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 574853993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*x = -31866, -4*x + 3*x = 2*a + 15926. Let r = 13583 + a. Suppose -3130 = -13*u + r. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6132507447.\nAnswer: 3, 11, 727, 255617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1053*b = -702*b - 3510 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000285275 rounded to seven decimal places?\nAnswer: -0.0000285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 320036*s**5 + 89*s**2 - 367554214*s.\nAnswer: 6400720*s**3 + 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 30 = -2*u - 19, -13 = -u - 5*g. Suppose 3*b - 5*z - 1011 = 0, -12*z + 1316 = 4*b - u*z. Calculate the remainder when b is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/(sqrt(9) + sqrt(576)))\/sqrt(11) + (sqrt(12) - (sqrt(12) + -1 + 3))**2.\nAnswer: sqrt(3)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 = w - 2, -3*w + f = -4. Suppose -2*p = w*p - 8. Suppose -g = -5*m + 651, -p*m = g - 0*g - 266. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/25*(-5 + (-25)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -c + 3*t + 1, c - 7 = 4*t. Suppose -3*l - 7*u = -3*u - 201, c*l - 228 = 5*u. What are the prime factors of l?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.99 - -4.4. Let j = c - 2.08. What is j rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -448 (base 16) to base 12.\nAnswer: -774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/30*-3*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41856 and 288?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 4*n - 50, -2*n - 3*b - 457 = -475 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*a**3 - 5*a**2 + 2*a - 3*a**2 + 6 - 13*a**3 - 9*a**3 - 9*a**3 in the form w*a**3 + p*a + v + k*a**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23.8 - -24.38. Let m = -1.08 + u. Sort 0.4, m, -2\/9, 4.\nAnswer: m, -2\/9, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 116066, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 8:19 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3\/3 + 22*s**2\/3 + 89*s\/3 + 68\/3 = 0. Calculate s.\nAnswer: -17, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -3 + 4 + 7 - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37627 is divided by 18617?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1180, -2369, -3556, -4741, -5924?\n\"Answer: k**2 - 1192*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 12 + -3 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 224534699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-510)\/(-595))\/(108\/(-56)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m**2 + 0*m**2 + 11*m**2)*(-5*m + 30 - 30)*(-4 + 1 + 2) to p*m**3 + c*m + l + i*m**2 and give p.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9097, 9344, 9077, 8038, 5969, 2612?\nAnswer: -2291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7081 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 24. Let t be g(24). Which is bigger: t or 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 100011101110?\nAnswer: 100011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**4 - 220*g - 17*g**3 + 6*g**4 - 11*g**4 + 20*g**3 - 2 + 16*g to the form j*g**4 + x*g**2 + p*g**3 + s*g + c and give s.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01529 rounded to four dps?\nAnswer: -0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from {x: 2, a: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 37*m**7\/210 - 59*m**5\/60 - 2*m**2 - 40*m. What is the third derivative of v(i) wrt i?\nAnswer: 888*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 5:57 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56804057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 15*n**3 - 39*n**2 - 18*n - 6. Let i(o) = -45*o**3 + 117*o**2 + 54*o + 17. Let v(l) = -6*i(l) - 17*k(l). Find a, given that v(a) = 0.\nAnswer: -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37906 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-9))\/(((2343\/55)\/(-71))\/(18\/20))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-86)\/(-4)*(6 + 0)\/3. Let h = l + 20. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -1988*z - 35340. Determine a(-18).\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2289 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 2\/16113, -0.1 in decreasing order.\nAnswer: 2\/16113, -0.1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-42) - (-9)\/(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from jxjajanxaaaa.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6568, -13482, -20408, -27346, -34296, -41258, -48232?\n\"Answer: -6*u**2 - 6896*u + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3360 divided by 1120\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1 + 595)\/(-10*81\/(-540)) and 90.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 + 42. Let w be (-45)\/40 - n\/(-16). Let d = 0 - 0. What is the closest to -1 in d, w, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/(q\/(q**(4\/7)\/q*q)))\/(q**(-2\/3)*q)**(-2\/17) assuming q is positive.\nAnswer: q**(-139\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29 and -8.676.\nAnswer: -251.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -332 + 323. Let d = -5\/3534 - 342623\/123690. Let a = d - -18\/7. What is the nearest to x in a, -5, 1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 62. Let i be ((-36)\/b)\/((-6)\/(-15)). Find m, given that 4*m**2 + 3*m**3 - 3*m - i*m**4 + 1 + 5 + 4*m**4 - 8 = 0.\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/(-20))\/((-3)\/8). What is the third derivative of -8*g**2 - 26*g**4 + 0*g**2 + 15*g**2 + 12*g**a wrt g?\nAnswer: -624*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 780 divided by 10\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8*k = 630. Suppose -13 = 3*q - 55. What is the greatest common divisor of k and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199625 is divided by 199623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 + -41. What are the prime factors of h?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 21*p + 283. What are the prime factors of v(21)?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 52*o + 3\/2*o**2 + 1\/4*o**4 + 0 - 5\/6*o**3 + 3\/10*o**5. Let n(p) = p**3 + p**2 - p + 1. Determine g(h) - 5*n(h).\nAnswer: h**3 - 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(2\/29)*b**3 assuming b is positive.\nAnswer: b**(118\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 385790022 divided by -42837\nAnswer: -9006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -900 + 900. Let v(f) be the second derivative of -1\/6*f**3 - 5*f + 0 + 1\/12*f**4 + 15\/2*f**2. Determine v(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 4*s**2 - 3*s + 8. Let n be z(6). Let a = n - -47. Let j = -16 - a. Calculate the remainder when j is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 3 = 7*g. Suppose g = r, -29 + 769 = 4*j + r. Suppose 5*k + j = 10*k. What are the prime factors of k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) 115 (c) 108 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6255 - -56297\/9. Factor b*g**4 - 22\/9*g**2 + 200\/9 - 40\/3*g + 4\/3*g**3.\nAnswer: 2*(g - 2)**2*(g + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240\/(-112) - 3\/(-21)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 167 + -167. Let l(o) be the second derivative of o**5\/20 - o**4\/12 + 49*o**2\/2 + o. Is l(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5715, -5959, -6623, -7917, -10051, -13235, -17679, -23593?\nAnswer: -31187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(0*u**4 - 3*u**4 - 2*u**4) - 237*u**2 - 19*u**4 + 237*u**2.\nAnswer: -29*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93.8985 + 0.0985. Let s = r - -94. What is the closest to 1 in s, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 1086*w**2 + 1 - 2 + w**2.\nAnswer: -2*w**3 + 1087*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 7 + 38. Suppose 4*u = -5*b + 253, 7*b = 4*b + 2*u + 165. What is the remainder when b is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*f - 2 + 2*f)*(67*f**4 + 85*f**4 - 40*f**4).\nAnswer: 224*f**5 - 336*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 119145933 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + -2 + (sqrt(931)*2 - sqrt(931)))**2 + (sqrt(171)\/(sqrt(9)*2*-1 + sqrt(9)))**2 + 5.\nAnswer: -56*sqrt(19) + 3752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 6 = 3*f. Suppose 4*k = -i - 1, f*k + 5*i = k - 5. Solve 0*h + h = k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3.1. Suppose 4*i + 17 + 3 = 0. Let r = 7 + i. What is the nearest to u in r, 4\/5, -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.54738 rounded to two dps?\nAnswer: -66.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2681 = 2558. What is the remainder when 109 is divided by c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -598 + 909. Let f = v + -259. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 35 and -15.13.\nAnswer: 19.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -a5903 (base 16) to base 5\nAnswer: -133200042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = -0*b, b = 2*s - 6. Let a be s + 1 - 22 - 0. Let h = a - -19. Calculate the least common multiple of h and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*m + 4 = 2*m, -2*r = -m + 3. Let v = 79.8092 + -0.0092. Let o = v + -80.2. Which is the closest to -0.1? (a) o (b) -0.29 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 635 (base 8) in base 6?\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 9. Let p be n(18). Suppose -p*i + 473 = -76. List the prime factors of i.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -104576202 from -96052.\nAnswer: 104480150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -14. Is (464\/(-40))\/(c\/10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-246)\/615*(-2)\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 154 + -78. Suppose -z = -4*f - 0. What is the greatest common divisor of f and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -66666*b + 51*b**4 + 66666*b + (0 + 3 - 2)*(-2*b**4 + 0*b**4 + b**4) - b**4 - 4*b**4 + b**4.\nAnswer: 46*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -110, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2*r - 20 = 0, -9*r + 3 = -24*k + 9 + 69 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6.47*0.62013\nAnswer: 4.0122411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 8:50 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*h + 182 - 158 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 23*35.439\nAnswer: 815.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v - 4. Let a(k) = k - 1. Let o(d) = -4*a(d) + 4*j(d). Let h be o(9). Suppose 0 = -3*u - 16 + 88. Calculate the greatest common divisor of h and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -8*j + 21 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/36 + 31\/(-186). Which is the nearest to -1? (a) y (b) -536 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (-70 - (6 - -17))) + -21?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 3*v + 18. Let g be (-30)\/v*(-4)\/(-9). What is the second biggest value in g, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3952 - 3979 - 2*p**2 - 2*p**3 + 2*p**2 + 7931.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13926 + -2854846\/205. Let v = -19699\/2870 - t. What is the common denominator of 89\/6 and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34832 and 376432?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107 - 103. Suppose -10709 = k*l - 5*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -0.3. Suppose -4*x - x + 5*p - 25 = 0, 2*x + 25 = 5*p. Let k = -97\/231 - 5\/33. What is the third biggest value in x, k, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 5*c + 30 = 0, -3*u - 27*c + 22*c - 30 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -800 = -6*u + 2*u. Suppose 4*p - 5*s - u + 35 = 0, 3*s + 85 = 2*p. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 15*f - 12. Let a be p(-11). Let x = 0 + 0. Let c = a - x. What is the remainder when c is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-27) + 466\/9. Let m be (-13)\/(1040\/(-2050)) + (-3)\/(-8). Calculate the greatest common factor of m and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 562 - w**3 - 562 + 3*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.3 + 0.3. Let d = h + 4.966. What is d rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 6:34 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r - 1 = -24*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k + 38. Let v be b(-16). Let j = -14 - v. What is the third smallest value in 0.04, j, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 1090\/7, -2\/411?\nAnswer: -2\/411","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/20 and 59\/168460?\nAnswer: 168460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 2 - (327 + -310)) + 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1 = -2*o, 0 = -15*o + 13*o + j - 11. Put o, -46, 1 in descending order.\nAnswer: 1, o, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383555 is divided by 968.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*d**3 + 4*d**2 - 1851*d wrt d?\nAnswer: -168*d + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*x**5 + 79*x**5 - 21*x**5 + 2 + x wrt x.\nAnswer: 740*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 28 + (4 - ((18 - 3) + -9)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + t + 9, 2*t + 11 = -2*v + v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/102*((-27)\/261)\/((-3)\/(-2)).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, 521, -6 in ascending order.\nAnswer: -6, 4, 9, 521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 1 - 5 + 104592*o - 104704*o. List the prime factors of j(-8).\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82b5 (base 15) to base 14.\nAnswer: a0cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*q - 9*q**2 + 10 + q**3 + 10*q**2 - 11 to the form z + r*q + x*q**2 + d*q**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-770)\/2400 + ((-1608)\/90 - -18)\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1. Let l(a) = 4*a**2 - 4*a - 2. Let s(z) = 6*d(z) + l(z). Let o be s(5). Suppose -2*m = -6*m + o. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 569\/7 - 81. Suppose 203 = 21*u + 140. Solve 2\/7*x + 0 + 1\/7*x**4 - 1\/7*x**2 - p*x**u = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 571\/7 or 446\/5?\nAnswer: 571\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1206ac75 - 1?\nAnswer: -1206ac76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*v + f = 392*v - 26, -15*f = -v - 5*f + 8 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2820)\/(-21))\/(1 + 10\/(-14)).\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 74\/(-10) + -3 + (-6)\/10. Let c(b) = 1 - 19*b + 17 + 20*b. Let t be c(q). What is the greatest common divisor of 35 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 0*o - o - 2 - 1 - 6*o. Let l be b(-2). Let p(s) = 2*s - 14. Does 3 divide p(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5762, 7433, 9104, 10775?\nAnswer: 12446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 6:54 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2790127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hylyfrfryhyrfflflf. What is prob of picking 1 l and 3 f?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/138548 and 85\/178654.\nAnswer: 6788852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-980)\/(-189)*35613\/2638.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10021154 divided by -70078\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 8 (b) -0.3 (c) 0.4 (d) -148\/9 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 10 = -8*u. Suppose -24*n**2 + 7*n - 22*n**4 - 3*n**u - 7*n - 26*n**2 - 70*n**3 + n**5 = 0. What is n?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 8*d**2 + 3*d. Let h be v(-7). Suppose h*y = 33*y. Let o(q) = -2*q + y*q - 9*q + 9*q. Let c(w) = -37*w**2. Calculate c(o(b)).\nAnswer: -148*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-2)\/(-6))\/(((-3010)\/4)\/(-43))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/3)\/(c**25\/c)*(c**(-1\/11)*c)**26 assuming c is positive.\nAnswer: c**(-23\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 divided by 17.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = 0, 7*j - 33 = -5*c + 3*j. Solve 3 = -2*g - 4*f + c, 5*g - 5*f = 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-14 + 7 + 0) - (-119 + 2 + 1)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1 = -5*z, -z + 0 = 2*x - 7. Solve 0 = b - 1 + x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 107.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 498 = 2*w, j + 19 - 157 = -4*w. Let f = 12932 + -12931.7. Are j and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/(-150))\/((-1)\/(-5)). Let l = 3317.1 - 3317. Which is the smallest value? (a) l (b) 22 (c) z (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + 7*i**2 + 7*i + 621. Let h(r) = -r**3 + 4*r**2 + 4*r + 311. Let y(q) = -7*h(q) + 4*p(q). Let m = 12 - 12. Is y(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3*z + 3)*(-99 + 4*z + 99)*(-2 - 2 + 3) to x*z**2 + b + f*z and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - 31. Let c = 63 + v. Calculate the greatest common divisor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.147642 + 24554\nAnswer: 24553.852358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611914 is divided by 51?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25211.763 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17235719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*f - b - 2, 11 = -f - 4*b. Let t be (2\/f)\/(6\/(-5)). Suppose 3*x = -5*x - 8. Are x and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**2 - 3. Let g(y) be the third derivative of 3*y**5\/5 - 11*y**3\/3 - 22*y**2. Calculate -6*g(t) + 44*h(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*o**3 + 5317*o - 6888*o + 1571*o.\nAnswer: -22*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/6 - (-1)\/(-3). Let u be 21 - (-400)\/96*-6. Sort k, -20, u in decreasing order.\nAnswer: k, u, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3204301922 to the nearest integer?\nAnswer: 56607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*h - 2, 4*o + 18 = -o + 4*h. Let s be (6 - -2)*(-1 - o). Find the first derivative of -3*i + 2 - 8 + s wrt i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15361515 - -453?\nAnswer: 15362301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78c3 (base 15) to base 12.\nAnswer: -129a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/44 + (-7740)\/(-22) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 12. Calculate the remainder when c is divided by 1\/1 - (-1 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -541*i**5 + 2*i**2 - 74*i - 16 wrt i?\nAnswer: -10820*i**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*q**2 + 3*q - 2*q - 12*q**2)*(70*q**3 - 28*q**3 + 2*q**3).\nAnswer: -44*q**5 + 44*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**3 + 137*n + 15 + 27*n**4 + 8*n**3 - 5*n**3 - 17 - 25*n**4 as u*n**2 + y*n**3 + a*n + q + b*n**4 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 375138\/27 + (-14)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5488 + 4.\nAnswer: 5492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**3\/6 + 18*w**2 + 10*w. Let c be x(-28). Let u = -45 + c. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 4254174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22609635661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-8)\/12*6\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -17. Suppose -p + z = 2*p. Calculate the remainder when 6 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 16*z**2 - 28*z + 10. Give i(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/66)\/(-1*6\/3*1)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 1:18 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/5 + 48*f**2\/5 - 256*f\/5.\nAnswer: -2*f*(f - 16)*(f - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-6 + -20 + 27)) + 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -2\/27*o**3 + 0*o**4 + 0*o**2 - 3 + 2\/45*o**5 + 0*o. Factor n(l).\nAnswer: 2*l**2*(l - 1)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (7 - 53) + (8 + -1 - -5)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 260389 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + sqrt(243))*1.\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbb when three letters picked without replacement from vbbb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98143047.\nAnswer: 3, 23, 29, 16349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 i when three letters picked without replacement from {i: 2, j: 3, f: 7, s: 1, b: 6}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.09, 209, -2\/9, -0.2, 5, 2\/9, -9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -504600 divided by 100920.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696 is divided by 147.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6170?\nAnswer: 2, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16360 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvvjvvvvjjfvrj. Give prob of picking 1 f and 1 j.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 61\/2 (b) 1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47184043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -30. Find u such that r*u**2 - 3 - 11*u**2 - 2*u - 3*u = 0.\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 12) + -31 + 56 + -30?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 7:25 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39*((-3)\/(-9))\/(7*3\/21)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrzrrrzrrrrr. Give prob of picking 4 r.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.5*0.18.\nAnswer: 1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 479 = -43 - 126 for j.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from {l: 4, n: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 660?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5 = -1502*j + 1507*j, -37 = -5*j - 2*t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 14104.9 to the nearest 100.\nAnswer: 14100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*w + 4, w + 41*t = 40*t. Let j(r) be the first derivative of -3\/2*r**w + 2\/3*r + 4\/9*r**3 - 18. Factor j(k).\nAnswer: (k - 2)*(4*k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*v - 1641 = -2880 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 12:11 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-9)*(-576)\/256*4\/(-8)*-8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.438455um to centimeters.\nAnswer: 0.0000438455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 136 in ascending order.\nAnswer: 0, 1, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -2\/3 (c) -0.155 (d) 81 (e) -3\/8 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: 10212212 (base 3) to base 7\nAnswer: 11153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/8297 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - -0.77. Let z = 0.13 + g. What is the nearest to z in 4, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -959.3249 + 953.53. Let w = -0.0251 + d. What is w rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/612 and -85\/12.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 745064 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 56 = 86 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + p = -49, -2 = 3*p - 5. Let f = 117 - z. Suppose -2*u = -m + 3*m - f, -u + 61 = -4*m. Round u to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 20. What is the least common multiple of (-256)\/j + (-6)\/21 and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l*q*y + 3*l*q - 4*l + 41*q*y**3 + 34*q + 895*y**3 - y**2 wrt q.\nAnswer: -2*l*y + 3*l + 41*y**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*g + 30. Suppose -r - g = -3*r. Let y(h) be the third derivative of h**5\/10 - 7*h**3\/6 - h**2. Let d(q) = -q**2 + 1. What is r*d(n) + y(n)?\nAnswer: n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + -3*8\/(-12). Suppose 4*q - 5*p - 5 = 0, -3*q = -p - p - 2. Sort -9, q, m in decreasing order.\nAnswer: q, m, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 23*x + 17. Let f be o(11). Let w(t) = -t**3 + 7*t**2 - 8*t + 7. Calculate w(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 941177 to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/1247 + -385316\/8729. Let w = p - -44. Suppose 3*l + q = -0*q - 2, -29 = -4*l + 5*q. Which is smaller: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - ((-497 - -509) + (21 - (2 + 0)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2192 + 2228.82. Let k = -36 + z. Round k to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 2648871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4145.3 - -4145. Let p = 7 - 7.5. Let g = 2.8 + p. What is the biggest value in -3, g, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 26*k**2 + k + 1. Let f be l(-1). Let o = -12 + f. Suppose 3*y = 6*y - 5*j - 22, -o = -2*y + 4*j. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, d: 2, f: 4, s: 5, o: 1}. Give prob of picking 1 e and 1 f.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0*l - 3 - l)*(31 - 37 + 29).\nAnswer: -23*l + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 98841031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103464 = -26*s + 8*s. Suppose -12*z + s = -0*z. Calculate the remainder when z is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -10 + 4 + (2 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 4*h = -26 - 22 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2736892 divided by 4?\nAnswer: -684223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = y + 2, 0 = 3*t - 4*y + 11 - 4. Which is smaller: -5 or t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmvmmm. Give prob of picking 3 m and 1 v.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0, -1, 0.7 in increasing order.\nAnswer: -1, -1\/3, 0, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(35\/30 - 1\/(-6)). Let l(b) = -b**3 + 4*b**2 + 2*b - 5. Give l(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6717 (base 16) to base 8\nAnswer: 63427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 10*i**3 - 2*i**2 + i - 2. Is s(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s. Let y(v) = 216*v**2. Determine y(l(t)).\nAnswer: 3456*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o. Suppose 2*t = 2*n, -7*n - 3*t = -11*n + 2. Let i(b) = -2787 + 2786 + 4*b - n*b - 4*b. Determine -2*i(s) + p(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001111011000110010101 (base 2) to base 13.\nAnswer: 153c20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 8*o**2 + 5*o - 4. What is the tens digit of u(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 5*h. Let u be n(-4). Suppose 5*l + u = -16. Which is the third smallest value? (a) l (b) -1\/3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 1.31308?\nAnswer: 3.93924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2 + 633*l - 1 - 42 - 639*l. Let d = -27 - -15. Calculate the remainder when 51 is divided by k(d).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9987114, -1\/4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -267*p + 280*p - 9581. Let h = 2025 - p. List the prime factors of h.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5533006 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1\/6 (c) -2\/17 (d) -0.3 (e) 21 (f) 0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -115, -357, -747, -1285, -1971, -2805?\n\"Answer: -74*a**2 - 20*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 44*o + 1. Let u be q(4). Let w = u - 124. Let g = -37 + w. What is the highest common factor of g and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47076466 is divided by 1739.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 34\/187 + ((-8)\/(-132))\/1*(-915)\/122\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*c**2 - 3972*c**4 + c**3 + 3974*c**4 - 3*c**2 - 2*c**3 - 1 to i + f*c**3 + y*c**4 + p*c**2 + w*c and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -43741 minus 5?\nAnswer: -43746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = -4*m. Let k = 11 - m. Let x(r) = -14*r**2 - 24. Let v be x(k). Round v to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -18. Calculate the least common multiple of h and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -1\/5, -2\/11, -103.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 249871 at most 249870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 7*q. Let w be m(7). Is w bigger than -5\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11419 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5498 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 5 - 2 + 4)*(-23*h - 6*h + 0*h).\nAnswer: 87*h**2 + 87*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 12 = -71*i + 75*i, -3*f = 4*i - 12. Let b(o) = -o**2 - 8*o - 6. Let r be b(-6). Suppose i = 9*h - 3 - r. Are 2\/43 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-111)\/(-1 - 0) + -36 + 39. Let l = 115 - h. Solve 3 = 2*z + l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(72\/208)*39\/(-78).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 0. Put -1, z, 0 in decreasing order.\nAnswer: 0, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 974, 7657, 25752, 60965, 119002, 205569, 326372, 487117?\nAnswer: 693510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25571150251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 76*o + 175. Let p be t(-5). Do -205 and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -20*w + 19*w. What is the units digit of 5*(-2 - w) + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142541 (base 7) in base 8?\nAnswer: -65353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x - x + 40 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1037 - -768. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 8 - 5)*(10*b + 14*b - 20*b)*(1 - 1 + 1)*(4 + 10 - 3)*(-3 - 2 + 3)*(0 + 0 + 1).\nAnswer: -616*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from sseememmemesmms.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((3*(sqrt(539)*1 - sqrt(539)) - sqrt(539)) + sqrt(539)))**2 - ((sqrt(275) + sqrt(275) + 2)**2 + (-4 + sqrt(99)\/sqrt(9))**2).\nAnswer: -1131 - 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1823, 110, 2043, 3976, 5909, 7842?\n\"Answer: 1933*b - 3756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3912563?\nAnswer: 523, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-169)\/14 - (-9 + 4 + -1). Let s = -1077\/182 - a. Let -18\/13 - 16\/13*f + s*f**2 = 0. Calculate f.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10441108.42 to the nearest ten thousand.\nAnswer: 10440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 906526 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 37408.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 96*k**2 + 648*k.\nAnswer: -2*k*(k - 54)*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -8217517?\nAnswer: -3\/8217517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 125856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*z - 17*z - 64*z + 392 = 0 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3824 + 7159. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*w + 1116 = 94*w - 100*w for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20851203 times -0.016?\nAnswer: 333619.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 take away -124?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3970 - 3984. What is the remainder when 233 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 12*y - 4. Let z be f(-6). Let m be (2\/z)\/((-3)\/5472). Suppose -162 + m = 6*d. Is 25 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 11*r - 397. Calculate the smallest common multiple of 16 and s(39).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 672 = -2*f. Suppose 0 = -5*m - f + 194. Let i be (2\/20*-2)\/(m\/90). Solve x - i*h + 2 = -4, 0 = 3*x - 5*h + 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -3, 40, -2 in descending order.\nAnswer: 40, 5, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194 - 127. Suppose t - o = -14. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1, 0, -0.4, -24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + (177 - (-24 - -67)) - (12 - (-1 - -3)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2203413 (base 7) in base 3?\nAnswer: 111201120110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00055493 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8699775*o**3*s**3 + o**3*s + 155*o**2*s**2 - 15743*o**2 wrt s?\nAnswer: 52198650*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1937387 less than -1937374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.012 + -21.988. Let k = -22.029 - j. Round k to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 43\/4 of a hour?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*d*s**4 - 33*d*s**3 - 2*d*s - s**4 + 39*s**2 wrt s?\nAnswer: -192*d*s - 198*d - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -116, -216, -288, -320, -300, -216?\n\"Answer: 2*a**3 + 2*a**2 - 120*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69.11 + -68.11. What is the nearest to 9 in p, 0.2, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 8*z**2. Let q(n) = -10433244*n. Give h(q(k)).\nAnswer: 870820642908288*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30606*b**3 + 867 - 1740 + 873.\nAnswer: -30606*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1105 = 285. Suppose -40*s = -35*s - p. List the prime factors of s.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/5 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1878 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2403\/2*h - 603*h**2 - 600 + 3\/2*h**3.\nAnswer: 3*(h - 400)*(h - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -45251074.\nAnswer: 45251074.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23012313.\nAnswer: 3, 7670771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -17. Suppose 3*b = -h + 78. Calculate the remainder when (-2)\/8 - (-221)\/4 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14272769?\nAnswer: 7, 163, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2fa - 1178a?\nAnswer: -11490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -194*i. Let a(y) = -y**2. What is a(w(q))?\nAnswer: -37636*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 28 = -4*o, -6*z = -3*z + 2*o - 4. What are the prime factors of (-1047)\/(-12) - (-3)\/z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/12)\/((-88)\/(-264)))\/(14\/(-16)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*j - 2*j + 4*j)*(-121 + 28 - 35) to the form c + l*j and give l.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -543 - 3694302?\nAnswer: -3694845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2 - -1. Let y = 1.825 - 0.825. What is the nearest to 0.09 in -5, y, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 550, 1110, 1696, 2320, 2994, 3730, 4540, 5436?\n\"Answer: 2*l**3 + l**2 + 543*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v + 12 = 0, -296 = 2*g - 4*v. Let t = g - -281. List the prime factors of t.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 7*w - 30. Let v be o(-4). Let u be 6 - v\/(-63)*14. Solve -j - y = 6, 0 = 9*j - 7*j - 3*y + u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2. Let b(k) = -2*k**2 - k. Let t = -5 - -8. Suppose 4*s = 5*g + t*s - 19, -5*s - 35 = -5*g. Determine g*d(x) + b(x).\nAnswer: x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971192 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1232, 1238, 1254, 1286, 1340, 1422, 1538, 1694?\nAnswer: 1896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 2*k + 4. Let j be c(-3). Let l(n) = n - 4. Let y be l(j). Solve -y*o + 12 = 0, -z - 3*z = o + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 8*r = -43. Let y = r + 46. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69924*f**5 + 567645*f wrt f.\nAnswer: -1398480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a day in minutes?\nAnswer: 27000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410359104 a multiple of 2464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5754039 micrograms to nanograms.\nAnswer: 575.4039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*1)\/((5\/80)\/((-53)\/(-106))*8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 5*f**3 - 860*f**2 - 1740*f = 0.\nAnswer: -2, 0, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 965 divide 105309035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 3, n: 3, t: 6}. Give prob of picking 1 c and 1 t.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3032331 (base 4) in base 9?\nAnswer: -20146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 11*t + 2. Let k be u(-9). Calculate the highest common factor of k and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56711558 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: What is next in -33, -29, -29, -33?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 568 = 523. Suppose 5*n + 3*r = 20, -2*n - 4 + 12 = -d*r. Solve 0 = 2*b + 3*y + n, y + 36 = 5*b - 3*y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21 + 92099568\/(-36) - 2\/(-6). What is m rounded to the nearest ten thousand?\nAnswer: -2560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -708*h**3 + 138*h**3 + 3171*h**3.\nAnswer: 2601*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)\/((sqrt(64)*-2)\/sqrt(8)))\/(sqrt(12)*-1 - (sqrt(3) - 4*sqrt(12))))**2*2.\nAnswer: 11\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26214 = -5*h + 3*c + 98525, -2*c = -2*h + 49898. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**4 + 42489*m**3 - 1314612*m**2 + 4748676*m - 4578768 = 0. Calculate m.\nAnswer: 2, 27, 14132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 300*q + 13. Let f be k(6). Suppose -f = -3*r + 803. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1.37, -1 in decreasing order.\nAnswer: -1, -1.37, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-144)\/(-45) - (-3)\/(-1)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2\/9 (b) 28840 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 0*f**2 - 2*f + 0*f**3 + 0 - 1\/4*f**4. Let i(q) = -2*q**2. Determine i(r(z)).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - s**2 + 21. Let d = -2 - -5. Suppose g + d*g = 0. List the prime factors of m(g).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**6\/120 - z**5\/10 + 5*z**4\/24 - 5*z**3\/6 + 36*z**2 + 5. Determine k(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 57\/5 of a millimeter?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -5, 63, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 + 8*g + 26. Let x be a(6). Let y be (-9 - -10)\/(x\/34) - 5. Solve -8*w = -y*w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17996 (base 12) to base 5\nAnswer: -2043432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 13*p**2. Let w = 245 + -243. Let g(a) = -78*a**w + 21*a**2 + 17*a**2 + 21*a**2 + 12*a**2. Determine g(n(f)).\nAnswer: -1183*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 2\/1822115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 - 161. Let n = i - -122. What is the remainder when n is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, t: 2}. Give prob of sequence vvt.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 9 = 29. Let m be ((-8)\/12)\/(c\/120). Find the common denominator of 51\/26 and (m\/(-56))\/((-12)\/(-322)).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7 take away -9.79483467?\nAnswer: 6.09483467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -160 - 4?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1350228.\nAnswer: 2, 3, 11, 53, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5)*i\/(i**(-1\/7)*i)*i*(i**(-2)*i)\/i**2)**(-2\/95))**(-37) assuming i is positive.\nAnswer: i**(-3552\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 588.7816 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 57148\/(-130) + (-3)\/(-5). Let o = -283 - y. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 67.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17478712 divided by 379972?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -6 + 10 - 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**4 + 229156*l**3 - 458286*l**2 - 2062404*l + 4124736 = 0.\nAnswer: -3, 2, 3, 114576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-2)*108\/24. What is the greatest common divisor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37 - (-6 + (-22 - -20) - 9)) + 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**5\/60 + 13*o**4\/24 + 7*o**3\/6 - 265*o**2\/2 - 5*o - 1. Let u(l) be the first derivative of j(l). Determine u(11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooppooooooo. What is prob of sequence pooo?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 1 + 21. Suppose 3*x - l*z - 4 = 0, -3 - 1 = -2*z. Suppose -2*q - 18 + 26 = 0. Calculate the lowest common multiple of x and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8196?\nAnswer: 2, 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112208?\nAnswer: 2, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**6)**(8\/7)\/((q**(-3\/14)\/q)\/(q\/(q**(3\/7)*q))) assuming q is positive.\nAnswer: q**(123\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.5 (c) -2\/5 (d) -77 (e) -15\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by -18.\nAnswer: -23\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.03 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 11*d**3\/6 + 9*d**2 + 8*d + 8. Calculate c(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*11.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((6\/(-14))\/(2\/7)). Let a be (-3 - 5\/2)*v. Let i(b) = b**3 - 11*b**2 + 2. Let q be i(a). Solve -o + q*l + 12 = -0*l, 2*o + 5*l = -21 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, t: 6, w: 1, h: 2, p: 1}. What is prob of sequence upwt?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33382 is divided by 354?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 249 (c) -2\/5 (d) -1 (e) -4840\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9252 and 70560?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -170040, -170039, -170038, -170037, -170036?\n\"Answer: i - 170041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 8 = 2*t, -5*o - 4*t - 19 + 3 = 0. Let h be 3 + o - (-2 - 49). Suppose -56*l + 200 = -h*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.4. Let z = 76 + -82. Let f be z\/33 - (-855)\/165. Which is the smallest value? (a) d (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.91km in micrometers?\nAnswer: 2910000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -140.5 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1776782*p**2 - 5864232 wrt p?\nAnswer: -3553564*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4737470 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 1, z: 1}. What is prob of picking 1 z and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 + 3 = 0, 1127 = 5*d - 3*a. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((11\/55)\/(4\/70))\/((-16)\/160). Let s = 24 - 60. Which is greater: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**3\/2 - m**2\/2 - 2*m. What is the remainder when 13 is divided by f(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6*(3 - -15). Suppose -r - 2*p - y = 0, 35 = -5*p + 10. List the prime factors of -2 - -13*r\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -217, -316, -399, -460, -493, -492, -451?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 2. Suppose -4*s + 13 = -j, -3*j = -3*s - j + 16. Let o(w) = s - 7 + 4*w - w. Let u be (-40)\/18 + 16\/72. Determine u*o(l) - 5*m(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 26 + 49. Let k be 4*(-2 + o\/10). Suppose k*y - r - 44 = -y, -y + r + 14 = 0. Calculate the remainder when 54 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -33 (b) -10 (c) -4\/13233 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537701?\nAnswer: 547, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - -5*(1*sqrt(209) + sqrt(209)))\/(2*sqrt(539) + sqrt(11)).\nAnswer: 11*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6492 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -99, 2, 349, 990, 1973, 3346?\n\"Answer: 8*k**3 + 75*k**2 - 180*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r. Let s(l) = 84*l. Let c(o) = -2*s(o) - 35*u(o). Let j be c(5). Let w be (-13)\/65 - (-1 + (-92)\/j). Which is smaller: w or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oiio. What is prob of picking 1 i and 2 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1190\/34)\/35)\/((-3)\/(-57))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -954*w**2. Let n(h) = -2*h. Calculate n(r(i)).\nAnswer: 1908*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 3*d - 24 = 0. Suppose d*j - 817 = 719. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 116*b**2 - 208*b - 2277. Let i be g(114). Let j = -17 + 39. Suppose 3*r = j - 4. Solve 12 = i*w - r*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + p**2 + 3*p**2)*(0 + 0 - 1)*(7 - 1 - 2)*(12 + 11 + 150).\nAnswer: -692*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 92 = 4*a - 2*d, -4*a = d - 88. Let w be -9*(a\/(-9) + 1). Solve -u + 5*u = -w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 11 = 3*k, -5*c = -5*k + k + 6. Let w be k\/(-1*(-2)\/(-8)). Let n be (340\/18)\/(-5) + w. Put 3, 0.3, n in increasing order.\nAnswer: n, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8696 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: Let v(y) be the third derivative of 0*y + 1\/6*y**4 + 0 + 3\/20*y**5 - y**3 + 2*y**2 - 1\/120*y**6. Let r be v(6). What is the greatest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.10113 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17219, -47202, -89947, -145448, -213699, -294694, -388427, -494892?\nAnswer: -614083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 5*r + r**2 - 5*r**2. Suppose -10 = -3*c - 4. Let z(h) = -h**2 - 2*h. Suppose g - 20 = 5*g + a, -10 = 2*g - a. Calculate c*u(t) + g*z(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 42. Let n be 124\/186 + (20\/3)\/2. Let r = a + n. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -23. Let b(w) = -w**2 + 4*w - 1. Suppose u + 8 = -2*d, 4*u = 5*d + 44 - 11. Let a be b(u). Solve 2*j = -a*j + s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2715 + -220?\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 16. Suppose 9*i = 4*i - 190. Let k = -23 - i. Does 13 divide f(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5058958466 to the power of 1\/3, to the nearest integer?\nAnswer: 1717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Suppose l = 2*m - 65 + 21. What is the highest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3136*n**2 + 105*n + 1213. Is v(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3902892.9909 - 3903052. Let g = 158.4 + 0.6. Let z = w + g. What is z rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5b5c - 25ab?\nAnswer: 35b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70160035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -196 + 198. Let q(s) = z + 2 + 9*s + s - 12*s. Calculate q(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + (5 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 84\/46*766590\/9999\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, -0.26, -2\/7, -22, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74329915 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*k**5*t - 7*k**3 - 74*k**2 - 265*k*t - 2606*k wrt k.\nAnswer: -600*k**3*t - 42*k - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 2 - 7 = -d, -16 = 4*g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31240470 is divided by 15620224?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 20011201212?\nAnswer: -20011201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88622?\nAnswer: 2, 73, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -6*c**2 + 3. Let a(h) = 31*h**2 - 16. Suppose 0 = -8*q + 3 + 13. Give q*a(r) + 11*j(r).\nAnswer: -4*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70\/307 - 66339\/1228. Let v = t + 54. What is the nearest to v in 2\/3, -26, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/6 and 83\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-512)\/(-6) - (-61)\/(-183). Suppose -5*l = -5*k - 4 + 49, -5*k - 4*l + 9 = 0. What is the highest common divisor of k and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-three fifths of a kilogram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 7:48 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 + -55. Suppose 0 = 3*w - 5*w. Suppose 0 = -w*j + 2*j. What is the second smallest value in a, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -109, 17 in descending order.\nAnswer: 17, -5, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 144666943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 9. Let s = -14 - z. Suppose -4*q + 16 = -3*i + i, 5*i = q + s. Calculate the greatest common divisor of 20 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + s - 105, 6*a - 7*a = -2*s - 120. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93748 + 843734\/9. Factor -z*c**2 - 10\/9 - 4\/3*c.\nAnswer: -2*(c + 1)*(c + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k + 1. Let p(h) = h**2 + 3*h - 1. Let a be p(-4). Let t be n(a). Solve -4*x + t = -6*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 23 - 19)*(c**3 + 3*c**2 - 3*c**2) - 17*c**3 - 41*c - 2*c - 2*c**2 + 18*c**3 in the form y*c**3 + w*c + m + n*c**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfvb when four letters picked without replacement from {d: 1, v: 1, f: 1, j: 1, l: 1, b: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6370810 rounded to the nearest 10000?\nAnswer: 6370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 46683, 47166, 47649?\n\"Answer: 483*v + 46200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zffffzf. Give prob of picking 4 f.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 104, 11, 0 in ascending order.\nAnswer: -1, 0, 11, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9326549621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*g**3 + 6717*g**2 + 604452*g - 151533 = 0. Calculate g.\nAnswer: -447, -113, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyjj when four letters picked without replacement from {y: 1, s: 2, j: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/5 (b) -3 (c) -2375337\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (550\/(-825))\/(2*7\/315).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1236*g**2*r**3 - 2*g**2*r + 4*g*r*v - 2*r**3*v + r wrt r.\nAnswer: -7416*g**2*r - 12*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2 + 2*g. Let v be c(4). Let n = v - -260. Suppose 5*x = -o + 81 + 143, 5*o = -5*x + n. Calculate the greatest common factor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-6)*-1*24. Let o be 2 - 3*(-33)\/p. Which is greater: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - q - q + 2 - 2 - 2*q + (-3 - 2 + 3)*(2 - 2 + 2*q) + 0*q + 2*q + 0*q - 6*q + 5*q + 3*q + 4 - 4 + 3*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.3713458ns in days?\nAnswer: 0.0000000000002705016875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 87 = r. Suppose 0 = 2*b + 3*o + r, -1 = 2*b - 5*o + 36. Let q = b + 22. Solve -k = -q*k + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 13*n - 60. Calculate k(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 2*n - 11, -w + n + 1 - 3 = 0. Solve -19 - w = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994608?\nAnswer: 2, 3, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2390276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - n = -6, 2*o + o - 3*n - 12 = 0. Suppose 2*f - 6 = o. Suppose -v = f + 3. Which is the third biggest value? (a) -1 (b) v (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -218214 - -2044?\nAnswer: -216160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 4*q + 8, 300*n - 301*n = -q - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3428 - -3427. Which is the closest to 0? (a) 4 (b) -0.2 (c) -121 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-398)\/6)\/(5\/(-15)). Suppose 0 = 3*d + 6, 15 = 4*r - 5*d - n. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193847 is divided by 48456.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12974390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3387 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h*r**2*t**3 - 49815639*h*r**2 + 2*r**2*t - 22934626*t**3 wrt h?\nAnswer: -2*r**2*t**3 - 49815639*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1360, 2344, 3140, 3748, 4168, 4400, 4444?\n\"Answer: -94*x**2 + 1266*x + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 12*g**2 + 5. Let i be f(-12). Suppose -4*o + i*o = -1, 4*o = x + 26. Let y be 24\/10 - (-12)\/x. Solve 6 = y*b + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnpsq. What is prob of picking 1 t and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -53690 in ascending order.\nAnswer: -53690, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtqttzijzctttii. What is prob of sequence jii?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 take away 2050?\nAnswer: -2060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-315)*112\/(-64). Put -0.2, -2\/9, -4\/5, 3, t in decreasing order.\nAnswer: 3, t, -0.2, -2\/9, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -14. Is 1 - (0 + -1 - d) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1754 - -1838. Is b smaller than 82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 8:27 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5145, -13922, -26333, -42378, -62057?\nAnswer: -85370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1092883 rounded to 4 decimal places?\nAnswer: -0.1093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -2\/7 (c) 0.3 (d) -2 (e) 3003\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -137916 and 0.04.\nAnswer: -5516.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sasssssasasssa. What is prob of picking 1 s and 1 a?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 1 - 2*b**2 + b**2 + 1. Let w(p) = p**3 - 23*p**2 + 22*p. Let l be w(22). Calculate the remainder when o(l) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3933, 7428, 10475, 13074, 15225, 16928, 18183?\nAnswer: 18990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -586, -4, 106 in ascending order.\nAnswer: -586, -4, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2988 times 0.2263?\nAnswer: 0.06761844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3448*f**2 + 493*f - 96. Let q(k) = 2*k - 25. Let a(r) = -j(r) + 4*q(r). What is the second derivative of a(b) wrt b?\nAnswer: -6896","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 5*t - 58400020, -13*a + 8*a - 5*t = 73000020. Round a to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 7:15 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m - 12. Let a(p) = 2*p - 8. Let g be (-3 - 0) + (-25)\/(-5). Suppose 20 = g*x - 4. Let b = x + -17. Give b*h(q) + 7*a(q).\nAnswer: -q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 44124 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven halves of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -6. Suppose 0 = z + 5. Let x(g) = 3*g - 3. Let k be (-21)\/(-6) - 33\/22. Let t(r) = r - 1. Let v(q) = k*x(q) + z*t(q). Calculate j(o) - 4*v(o).\nAnswer: -4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119280?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**2 - 5*l - 1. Let z be o(-5). Let f be z*((-74)\/14 + 1). What is f rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2, 13, 0.5, -3, -621, 45?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.1. Let w = k - 0. Let u be 42\/(-72)*((-4)\/(-14) + 0). Which is the third smallest value? (a) -2 (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 311?\nAnswer: -11\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7872716*v + 7872707*v - 288 = 0 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 = -33. Let v(b) = 17*b**3 + b**2 - b - 2. Suppose 9 = -n + 11. Let l be v(n). Calculate the greatest common factor of c and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 804 and 401412.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b + 70. Let n = 26 + -3. Let w = n + b. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogggatzoataappto. Give prob of picking 1 t and 2 a.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*w + w - 25, -5*p = w - 25. Let r(k) = -k**3 + 5*k**2 - k - 1. Determine r(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53 + 4*h**2 - 197*h + h**3 - 18*h**2 + 199*h wrt h.\nAnswer: 6*h - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 7*b + 56 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 + 7*k - 22. Let a be 95\/(-19)*(1 + -3). Let c be l(a). Let g = 216 + c. Does 32 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**2 - 5*t**2 - 2*t**2 + 0 + t**2 + 0 + (t - t - 2*t)*(-t + 2*t + 0*t) - 5*t**2 - 4 + 3 + 4*t**2 + 430 + 22*t**2 - 430.\nAnswer: 18*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 119\/(-238)*28\/2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.7234mg to micrograms.\nAnswer: 7723.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j\/j**(-1\/71)*j)*j\/(j*(j*j\/j**(-29))\/j*j) assuming j is positive.\nAnswer: j**(-2202\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7260, -1\/2, 1\/10, -2\/13, 2 in increasing order.\nAnswer: -7260, -1\/2, -2\/13, 1\/10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 513774 divided by 51.\nAnswer: 10074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 25*m**2 + m - 1. Suppose d - 5*i + 14 = 0, -2*d - i = -0*i - 5. List the prime factors of f(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**5\/60 - n**4\/12 - n**3\/9 + 7*n. Factor t(i).\nAnswer: -i*(i + 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/143256 and -133\/9306.\nAnswer: 4727448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 13. Suppose -5*o - a = q*a + 6199985, -a + 6200005 = -5*o. What is o rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15c2 + -2?\nAnswer: 15c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529696 is divided by 40.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**7\/420 + 5*y**6\/192 + 7*y**5\/80 + 3*y**4\/64 + y**2 + 6*y. Factor s(o).\nAnswer: o*(o + 3)**2*(4*o + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 7:28 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmddmmwddddwwdmmddw. Give prob of sequence dmmd.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1213 divided by -3.\nAnswer: -1213\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -0.0907185.\nAnswer: 2.9092815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 326 + 9 + (1 - 4\/1). Let i = -323 + j. Solve 2*v = 6*a - a - i, 0 = a + 5*v - 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n = 18. Suppose -b = -n*b + 20. Suppose -26 = -56*c - 111 + 197. Solve 4*q = c*q - 6, -q - 7 = -b*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-341*a + 188*a - 404*a).\nAnswer: -557*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 610 + -104. What is the greatest common divisor of 66 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 14865900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/18)\/(((-27380)\/666)\/185)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, -1, 5, 47 in descending order.\nAnswer: 47, 5, 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 250664200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + 0 + 0 - y + y**2 + y + (y + 0*y + y)*(-2 + y + 2) + 3*y**2 + 0*y**2 + 2*y**2 + 0*y - y**2 + 0*y + (-3*y**2 + 0*y**2 + 4*y**2)*(0 + 3 - 1).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d - 13. What is x(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 + l**3 + 0*l**3 + (l + 2*l - l)*(11*l**2 - 9*l**2 + 9*l**2) + 4 + 4 - 2*l**3 - 6.\nAnswer: 21*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - 3*d - 4. Let y(t) = -t**3 + 10*t**2 + 2. Let v be y(10). Let s = v + 2. List the prime factors of c(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 818118 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3111868 - 2?\nAnswer: 3111866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 216372 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7*s**2 - 13*s - 7. Give y(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-478)\/8)\/((-50)\/(-80)). Let m = z + 96. What is the biggest value in 0.5, 3\/4, m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 142\/7, -4 in increasing order.\nAnswer: -5, -4, 142\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -3168?\nAnswer: 3166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -6, 2 in increasing order.\nAnswer: -6, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/58058 and -109\/163618?\nAnswer: 1799798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, 7, -1\/23.\nAnswer: -1\/23, 1, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/2*(-6)\/(-18). Let z = 1.5 + -2. What is the closest to 2 in z, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 20. Let u = i - -8. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00380436879 to 6 decimal places.\nAnswer: 0.003804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 4, -2, 1.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 - 426*n - 20159. Give k(-142).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p + 264 = -10*p. Calculate the remainder when 39 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -531, -527, -523, -519, -515?\n\"Answer: 4*m - 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4300000*a. Let n be -2 - 1 - (-6 + 6). Let h be k(n). Round h to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -96.09 and 60095.471.\nAnswer: 59999.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1 + 7 = 0. Solve -m*a - 14 = -2*q, 2*a + 3*a = -q - 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -7364*v + 7359*v + 14, 0 = 4*v - y - 28 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -350540014 (base 6) in base 12?\nAnswer: -220760a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21736 and 17784?\nAnswer: 195624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d = 10. Suppose -7*a + d = -2*a. Suppose -3 = -a*n + 1. Solve 7*u - n*u + 20 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42351817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**3\/7 + 3324*u**2\/7 - 33090*u\/7 + 11800 = 0.\nAnswer: 5, 1652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 271. Suppose 0 = -3*f + f - 4*x + r, 3*f - 333 = 3*x. What are the prime factors of f?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 (base 5) in base 8?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -348 divided by -348?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -162 + 663. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(792)*2 - sqrt(792))\/(sqrt(55)\/sqrt(5)*6).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-64)\/80 + (-42)\/10. Let g(l) = -3*l - 5. Let w(p) = -5*p - 8. Let d(a) = y*w(a) + 8*g(a). Let f(m) = -m**2 + 6*m**2 - 2*m**2. Calculate d(f(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 4, -4, -290 in increasing order.\nAnswer: -290, -4, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 10569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 701 = -5*w - 756, -5*m - 2*w = -20 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 53882*f**2 + 88*f + 87. List the prime factors of x(-1).\nAnswer: 53881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**3 + 41*r**2 - 41*r**2 - 2 - r**3 + 2 + (0 + 2*r**3 + 0)*(-3 + 1 + 3) + (-2*r**2 + 2*r**2 - 2*r**2)*(3*r - r + 0*r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8 + 3 + 1 + 3*x**2 + 10*x - 7*x. Let m(c) = -2*c**2 - 2*c + 3. Let a = -2 + -2. Give a*m(o) - 3*i(o).\nAnswer: -o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 70 + 30 = 0. Sort 0, h, 3\/10 in decreasing order.\nAnswer: h, 3\/10, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 12*q - 11. Let a be h(-11). Let l(i) = -4*i - 2. Let w be l(-1). Solve -j - w = -a*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 1, -1, -832, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 23.\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**3 - 126*i**2 + 127*i - 82. Let t be y(-43). Solve -3*l + t*b - 3 = 0, 18 - 7 = -l - 2*b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 17*p - 80. What is l(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117848?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1369842 = 254*y - 1390162 for y.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3018*d + 371*d + 69115 + 63056 for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29716432 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x + 17*x**2 - 12*x**2 + 6*x**2 + 28*x**2 - 6.\nAnswer: 39*x**2 - 15*x - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3382897 and 31423.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 121 = -73. Suppose -4*f - h = -6*f. Factor -6*d**2 + 7 - 5 + f - 2*d**3.\nAnswer: -2*(d - 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 17.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 12\/36 - 1*-3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**4*o**(-9)*o*o**(-2\/5)*o*o*o**8*o assuming o is positive.\nAnswer: o**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/2 - -11*3. Suppose p - 22 + 18 = 0. Suppose -7*g = -3*g - 5*r - 39, 0 = p*g - 4*r - 40. Solve -5*c = -3*u + j, 2*c + 14 = 5*u - g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050.0682512 minus -0.6943?\nAnswer: -1049.3739512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 5*j - 3. Let n be x(7). Solve -10 = n*l + 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 8*i**4\/3 + 298*i**3\/3 + 180*i**2 + 776*i. Factor q(d).\nAnswer: 4*(d + 18)*(8*d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(23*s**4 + 12*s**4 - 12*s**4).\nAnswer: -46*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-4 + 10 + -1 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(((o*o**0\/o*o)\/o)\/o)\/o))\/o**2)\/(o*o*o**(-2\/7)*o)**(-11\/4)*(o**(-7)\/o)\/(o\/(o\/o**(-5\/2)))*o**(-8)*o*o\/(o\/o**(-4\/7)) assuming o is positive.\nAnswer: o**(-157\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(2*x**2 - x**3 - 2*x**2) - 2*x**3 - x + x.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 - 16862 = -60*v - 456. What is the remainder when v is divided by 118?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 299 - 299.055. Let t = -0.05726 - i. What is t rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 304 and 4636?\nAnswer: 18544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -41, -39 in descending order.\nAnswer: -3, -39, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d**2 - d - 34. Let m(a) = -2*a**2 + 206. Determine j(m(i)).\nAnswer: 24*i**4 - 4942*i**2 + 254376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15063546 to the power of 1\/3, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 6:19 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 7. Let g be f(5). Solve 0*a + g*a = 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - -0.3. Suppose -2*w = -5*w + 9. What is the closest to y in w, -2\/15, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -576364481*m**2 + 576364480*m**2 - 4*m + 4*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 22. Suppose z + 3*z = -x*t + 4, 4*z - 32 = 2*t. Let p(m) = m**2 - 7*m + 6. Give p(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*386.2539.\nAnswer: -77.25078","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701696 is divided by 2010.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22095.88 - 22096. Which is the third biggest value? (a) -0.2 (b) t (c) 0 (d) 4\/3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -103286601 divided by -9?\nAnswer: 11476289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-25) + (-58)\/10. Let k be (h\/(-2) - -5) + -3. Let n be (-528)\/(-55) + 2\/k. What is the highest common divisor of n and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -48*j**3 + 72*j**2 + 29*j + 23. Let q be s(17). What is q rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5576 and 680?\nAnswer: 27880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 174 = 5*y - 1311, z + 4*y = 300. What is the remainder when 889 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2236384.8 seconds to minutes.\nAnswer: 37273.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120 + 228 - 86)*(-2*k**2 + 3*k**2 - 2*k**2 - k**2 + 0*k**2 + 3*k**2 + (-1 - k + 1)*(0*k + 0*k - k) - 3*k + 3*k + k**2).\nAnswer: 786*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 288 = -671. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-10))\/((-1)\/2). Suppose -23*g - 30*g = 106. What is the closest to 0.1 in i, 4, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*z + 221 - 17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*o**4 - 2\/7*o**3 + 0*o**2 + 0*o + 0.\nAnswer: -2*o**3*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001202 - 20011?\nAnswer: 211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*6\/4 + 20 + (-10 - -13).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 109005745*o**2. Let l(y) = -y**2. Calculate q(l(h)).\nAnswer: 109005745*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 4*s**2 - s**2)*(-5 + 4 + 2*s - 3*s**2 + 2).\nAnswer: 9*s**4 - 6*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39304 and 3944?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9709734 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 7*w. Let d be v(-3). Suppose -d + 15 = r. Suppose -n + 24 = r*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-nine fifths of a micrometer?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17076923 + 17076921.4999997. Let y = -43 + 44.5. Let l = j + y. Round l to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (249*a**2 + 20629 + 2*a - 20629)*(-4*a**3 - 5*a + 5*a)*(0 + 5 - 2).\nAnswer: -2988*a**5 - 24*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(6480) + sqrt(6480) + -2*sqrt(6480))**2 + (2*sqrt(5) + -3)*-3.\nAnswer: -6*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/6 - 3953*c\/6 + 558963.\nAnswer: -(c - 718)*(c + 4671)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, -6 in decreasing order.\nAnswer: 7, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17061466 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**3\/3 + y**2\/2 - 3*y - 3. Let o be x(2). Let n be o*(-4)\/(-5 + 1). Sort -5, n, 0.2.\nAnswer: -5, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 3146.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4271, 16996, 38191, 67856, 105991, 152596?\n\"Answer: 4235*j**2 + 20*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 42190000 to the nearest 1000000.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2457 by 32.\nAnswer: -2457\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 16 = -4*o - 0*o, 3*o = x + 12. What is the third derivative of -5*b**2 + 6*b**2 + 44*b**o + 2*b**2 - 4*b**4 wrt b?\nAnswer: 960*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 - 2) + (-117)\/(-14) and ((-377)\/(-2088))\/((-6)\/(-21) - 59\/231)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*h*y + 2927*h - 12344*y wrt h?\nAnswer: -3*y + 2927","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44588?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340*x**3 + 3744*x**2 - 8204*x + 96 = 0. Calculate x.\nAnswer: 1\/85, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*154953220\nAnswer: -15495322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.3, -2.3, -0.2, 0, 3.3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*q - 46. Suppose q*z - 5 = 67. Solve z = -5*x + 4*b, -2*b + 1 = 3*x - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494726?\nAnswer: 2, 247363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21877 + -0.01?\nAnswer: -21877.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 339999165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594215.\nAnswer: 5, 118843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 7 - 5) + 224\/(-72).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + o = -1, -k - 3 + 5 = o. Is 0.44 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 0. Let o be 945\/85 + 4\/(-34). Suppose 3*j - 5*m + o = -3, -5*m = -5*j - 10. Solve -n*i = -j*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000013838 rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -3\/5 (c) 3\/4 (d) -117 (e) 3\/158\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20.666134 + 63\nAnswer: 42.333866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, -0.1, -2\/23, -997\/7, -4 in ascending order.\nAnswer: -997\/7, -4, -0.1, -2\/23, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -3*g**5\/20 - g**4\/4 - g**3\/2 + 23*g. Let d be o(-2). Let f = d - 18. Solve u - 5*u + 28 = -5*y, f = -4*u + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**4\/24 - 5*m**3\/6 + m**2\/2 + 2. Let b(l) be the second derivative of q(l). What is the units digit of b(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59661970 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s. Let p(u) = 387*u**2 - 2*u. What is p(n(c))?\nAnswer: 9675*c**2 + 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4257 is divided by (-1*2 + (-414)\/(-161))*35?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*y - 1)*(-42 + 9*y**4 + 42) - 7 + 7 - 9*y**5.\nAnswer: 27*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1271, -2569, -3879, -5207, -6559, -7941, -9359?\nAnswer: -10819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*c = 27, -2*c + 54 = 2*f + 2*c. Let m = f + -13. What is the remainder when 14 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1 + 69*r - 35*r - 37*r. Let j(v) = v. Give j(a(y)).\nAnswer: -3*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -4*i - 3*a + 44, -3*i = a - 38. Solve i - 4 = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.42 + -0.02. Let t be (6\/(-4))\/(4\/(-8)). Let i be 40\/(-380) + 248\/190. Put t, i, m in descending order.\nAnswer: t, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b. Let h(k) = -6*k - 4. Let w = -9664 - -9665. What is w*o(t) + h(t)?\nAnswer: -5*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-18))\/(5198\/(-23391))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3815855144 - -5.5\nAnswer: -3815855138.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 4, -39, 41, 7.\nAnswer: -39, 3, 4, 5, 7, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 6*d**2 + 27*d + 70. Suppose -3*l + 2*j = 17, 70 = -5*l - 11*j + 6*j. What is the remainder when f(l) is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7984 or 7987?\nAnswer: 7987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a hour in seconds?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150528.5*-3.\nAnswer: 451585.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i**2 + 9*i - 6. Let j(y) = -y - 11. Let q be j(6). Let a(m) = 2*m**2 + 3*m - 2. Let z(c) = q*a(c) + 6*h(c). What is the units digit of z(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54896 times -0.72\nAnswer: -39525.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -39*l - 75. Calculate g(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from pkpqhxqxhkhhkhqp.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w - 48. Let d be k(17). What is the units digit of ((-18)\/d)\/(-4*4\/200)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 649.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/9*1290\/(-3010).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1378 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 240 (base 6) to base 14\nAnswer: 6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8*(-2)\/18*4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**7\/1260 + o**6\/270 - o**5\/60 - 29*o**3\/3 - 25. Let p(i) be the third derivative of j(i). What is b in p(b) = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 1 - (-16 - -15). Let z(y) be the third derivative of -5\/24*y**4 + 1\/2*y**3 - 1\/120*y**6 + 1\/10*y**5 + 4*y**m + 0*y + 0. What is z(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/158, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-1 - 2) - -2. Suppose 0 = -4*z + 5*l + 256 - 13, 2*l - 312 = -a*z. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99181\/60 + -1653. Let l(a) be the second derivative of -9*a + 1\/20*a**5 + 0*a**3 - g*a**6 + 0 + 0*a**4 + 0*a**2. Let l(v) = 0. Calculate v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 59489*t**2 - 1049*t**2 - 5971*t**2.\nAnswer: 52469*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-8)*-26*2)\/(-1). Find the third derivative of 17*r**2 - 4*r**2 + 30*r**3 + 0*r**3 + o*r**2 wrt r.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/4)\/(6\/(-16)). Let m = -33 + 32.6. Which is the third biggest value? (a) m (b) -0.2 (c) n (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/3944 and -73\/1972.\nAnswer: 3944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 take away 319.2?\nAnswer: -318.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4))**33 assuming y is positive.\nAnswer: y**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.68 and -0.08714.\nAnswer: 1.59286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33419\/22 + -1518. Find the common denominator of 9\/22 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*a + 0*a = 252, -4*a + 412 = 3*x. Suppose 11*k + k - x = 0. Solve 5*l + 9 = -k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18218 - -18317. Calculate the remainder when 1392 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**2 - 34*x + 31. Let r be i(-17). Solve 2*v - 2 = -r, -s + 2*v - 4 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 f when three letters picked without replacement from {l: 1, a: 2, f: 2, v: 4, i: 5}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -1.2, -3.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 5*o - 1 = -g, -5 = -4*o + g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98024 is divided by 31?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -38965 and -373140?\nAnswer: 334175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -34.8. Suppose -12 = -2*f - 2*f. Suppose -3*t = 2*l - 1, t + 3*l = -f*t + 2. Put t, q, 4 in descending order.\nAnswer: 4, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -3*q**5\/20 + 3*q**2. Let j(v) = 2*v. Give j(d(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001821 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7001867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8066.3 + 8066. What is the fourth smallest value in 0.039, -0.4, h, -2, 2?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 12*o**2 - 8*o + 66. Let y be r(-13). Solve 32*d = 33*d - y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**3. Let f be c(1). Let j(o) = -o + 5. Let r be (-5 - 3)*(-2)\/4. Let n(u) = -2*u + 6. Calculate f*n(h) + r*j(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 202021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -12. Let c(x) = x**2 + 10*x + 20. Let f be c(-2). Let i = f - s. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**4\/11 + 388*m**3\/11 - 45662*m**2\/11 - 1971352*m\/11 - 341544 = 0?\nAnswer: -266, -33, -2, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2005.9 + 2006. Which is the closest to j? (a) 4 (b) 1\/5 (c) -3\/2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-9)*k**(-1\/11)\/k*(k**4)**(5\/2) assuming k is positive.\nAnswer: k**(-1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-30)*6\/4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 659.739 litres in millilitres?\nAnswer: 659739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24546.07 centuries to years.\nAnswer: 2454607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 5:40 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 852\/56 + 10 + -18 and 107\/10490.\nAnswer: 73430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 10. Determine d so that 35 - 35 + d**u = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/142, -11, -5 in increasing order.\nAnswer: -11, -5, -1\/142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 9\/13 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 3)*1\/2. Let m = -3 + 6. Suppose -90 = m*a - 8*a. Calculate the highest common divisor of a and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1435 (base 6) to base 7.\nAnswer: -1055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 14. Let p be s(11). Let d be p\/((-3)\/(-1)) - -3. Solve -3*a + d = 3*z + 5, -5*z - a - 17 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476 + 8*i + 2*i - 280 + 880.\nAnswer: 10*i + 1076","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3350 * -3.\nAnswer: 10050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -310*i**2\/3 - 57658*i\/9 + 124\/9 = 0.\nAnswer: -62, 1\/465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -6 - -12) + (-11 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**5 + 4*i**5 - 3*i**5)*(1 - 2 + 2) + 2*i**5 + 0 - 4*i**5 - 1 + 2*i**4.\nAnswer: -3*i**5 + 2*i**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(7) - (sqrt(7) + sqrt(42)\/sqrt(6)*-3)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01045158975 rounded to six dps?\nAnswer: -0.010452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1875*v + 3749*v + 23*v**3 - 1874*v.\nAnswer: 23*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**2\/5 - 32589838*s + 1327621926082805 = 0.\nAnswer: 81474595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.28 + 14.02. Let c = -0.015 - -9.415. Let k = c - m. What is k rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a + 3*a - a to the form f + h*a and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 153161 and -0.3?\nAnswer: -45948.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/50 + (-126)\/(-10). Let a(o) = 10 + 4*o - 2*o - j. Let s be a(4). Solve 2*k + 13 = -y, 2*k + 2*k = 2*y - s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 83*a**2 + 81*a + 152. Is b(69) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14036 and 43802.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c + 5. Let w be o(-2). What is the least common multiple of 19\/3 - 2 - w\/(-3) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 544385?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -11*j**2 + 141*j + 777. Calculate c(-6).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*a - 14*c + 12*c, 5*a + 16 = 2*c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-2)*(-8)\/60. Which is greater: l or -8\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60323 >= 60765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 0.28, -0.37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1326.17 + 1319. Let f = 7.17 + -0.17. Let w = f + l. What is w rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -3 + 0 + -18. Let z = 33 + q. Let j = -8 + z. Solve 2*h - j = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 730*z - 191. Is x(25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + -12 + (-24 - -67).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 + 2*m - 2*m + m**2 + 6*m. Let j be w(6). Let z = 40\/7 - 38\/7. Which is bigger: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31451 equal to 31451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62885.\nAnswer: 5, 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 48*j - 64. Is d(9) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 7:36 PM?\nAnswer: 157","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-9 - -5) + 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 843483*y + 45595119?\nAnswer: 843483","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s + 3*q - 88, -5*s + 4*q + 174 = 0. What is the remainder when s is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*q*t**3 - 15*q*t**2 - 6*t**5 + 2*t**2 - 5 wrt t.\nAnswer: 108*q - 360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 10, -25, -94, -209, -382?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 8, 3, -6032 in descending order.\nAnswer: 8, 3, 2\/23, -6032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*t + 1. Factor 0*n**4 - 4*n**t - n**4 + 2*n**3 + 2*n**3.\nAnswer: -n**2*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 219767.\nAnswer: 1758136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 22*p**3 - 6*p**2 + 17*p + 6. Let x(d) = -d**2 - d + 1. Let l(m) = -6*x(m) + z(m). What is the second derivative of l(y) wrt y?\nAnswer: 132*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (-5 - -15 - 14). Let b(l) be the third derivative of 1\/480*l**5 + 1\/24*l**3 + 0 + v*l**2 + 1\/64*l**4 + 0*l. Factor b(j).\nAnswer: (j + 1)*(j + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, 19, 22, 21, 16, 7?\n\"Answer: -2*k**2 + 13*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 557 = -18*c - 15*c + 1811. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -p + 102, 3*p + 4*x = -x + 350. Suppose 3*w - 426 = -w - 2*l, -p = -w + 3*l. Calculate the remainder when w is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -1 - (-5 - -26 - 13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 1 - 9 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q - 2*q)*(-5 - 2 + 2)*(-2 + 5 - 2)*(3 - 3 + 1)*(-170 - 101 + 8).\nAnswer: -1315*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4709, 3\/76, 5, 0.1, 10\/7, -8 in increasing order.\nAnswer: -4709, -8, 3\/76, 0.1, 10\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -12*k - 23. Let u be a(-2). Let n(s) = 3*s**2 - s + 1. Let t(d) = -5 + 0 - d**2 + 4. Give u*n(b) + t(b).\nAnswer: 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*g - 6 - 2 - 5 + 1.\nAnswer: 87*g - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1d1cc (base 16) to base 8\nAnswer: 350714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3994 divide 1585064703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + f**2 + 3*f - 6*f + 3*f.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**3 - 1028*r**2 + 2935*r + 3911. Let u(n) = -n**3 + 206*n**2 - 585*n - 782. Let t(f) = 11*u(f) + 2*z(f). Suppose t(w) = 0. What is w?\nAnswer: -1, 4, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 - -0.54. Let i = 0.09 - n. Let v = -0.35 + i. Which is the third smallest value? (a) 5 (b) v (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 - 0.09. Let i = -45 - -226\/5. What is the closest to a in -0.2, -4\/3, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n + 59. Let r be t(-16). Sort 1, -3, 4, r in descending order.\nAnswer: 4, 1, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v + 5*p - 36 = 3*v, 0 = 2*v - 507*p + 509*p - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 (base 7) in base 3?\nAnswer: 22022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from xxxhhxxxhxx.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 4352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 1:52 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*o**2 + 8*o + o**3 - 8*o + 6*o**2 + 3*o wrt o.\nAnswer: 6*o + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 9*m + 6*m = -365, 5*m = 5*l - 975. Is l a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3055817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mssfmsmmmmsmmm. What is prob of sequence sss?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1866*x**2 - 20*x + 4. Let c(z) = 2*z**2 - 5*z + 1. Calculate -4*c(q) + j(q).\nAnswer: 1858*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-76)\/(-20) + (-1)\/(-5). Suppose 0 = j*b, 3*v - 4*b = -v + 108. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 2*q - 21, 1000*f - 1004*f + 2*q = -14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1362 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1.2. What is the closest to 0.06 in i, -1\/4, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 z when three letters picked without replacement from {k: 2, v: 4, t: 1, h: 1, z: 8}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.057 + 0.557. What is the closest to 0 in -0.4, -2\/17, h?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44729 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -289 + -895?\nAnswer: -1184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + -8 + -54 - (-11 - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y + 7 = 0. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 35, -2.16, 2\/11.\nAnswer: -3, -2.16, 2\/11, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083000343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*(-11)\/(-2)*3\/11. Do 32 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 459*u**2 - 60?\nAnswer: 918*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-five quarters of a second?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m**4\/5 + 128*m**3\/5 - 404*m**2\/5 + 432*m\/5 - 144\/5 = 0. Calculate m.\nAnswer: 2\/3, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x**(2\/9))))**(-33\/5))**(4\/7)\/(x**(-4\/11)\/((x*x**(2\/3))\/x))**(-1\/14) assuming x is positive.\nAnswer: x**(-1803\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.685382768 take away 0.2?\nAnswer: -0.885382768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*s + 350*s - 36 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 5*q + 4. Let h(x) = -x**2 - 4*x + 3. Suppose -2*t + 2*l = 2*t + 22, -3*t - 14 = l. Let s = -85 - -91. What is s*h(a) + t*j(a)?\nAnswer: -a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8258 (base 9) to base 5.\nAnswer: -143142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**2 - 6*z**3 - 45*z**4 + 56*z**4 - 5 - 13*z**4 to w*z + m*z**4 + g*z**2 + l + a*z**3 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*h - 6 = 0. Suppose 0 = u - h*u. Let c = -17\/15 - -4\/5. Which is bigger: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-403)\/3)\/(-13) - (-2)\/3. Suppose -2*m + 5*m = 12. Let h be 14\/m + 3\/6. Solve y = -2*s + 4*y + i, 4*y = -h*s - 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 96632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*1\/(3\/(-3)). Suppose -38 = -2*v - 3*j, -2*j = -3*v + s*j + 76. Suppose r - v = -r. Calculate the greatest common divisor of 88 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 17*u**2 + 6*u + 12. Let d(c) = 17*c**2 + 5*c + 11. Let m(h) = 4*d(h) - 3*s(h). Is m(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 35d + -b0?\nAnswer: 2ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u = 15*u + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1035*-44.8\nAnswer: 46368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g. Let t be (1\/1)\/(-8 + (-650)\/(-80)). Let k(z) = -t*z + 9*z - 18*z - 8*z. What is k(j(y))?\nAnswer: -50*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/26))**(-2\/103)\/((h**(-2\/11)\/h)\/h*h\/((h\/(h*h**(15\/7)*h))\/h)) assuming h is positive.\nAnswer: h**(-305215\/103103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6462.1029502 - -6483.5056. Let t = q + 0.5973832. Let p = t + -22. Round p to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -17*y - 134. Let d be p(-8). What is the tens digit of (d*-27 - 6)*-1*7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 218 - 217.91. Sort s, 4\/5, -2\/23, -1.\nAnswer: -1, -2\/23, s, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12819 + 12815. Sort 2\/7, 0.005, w in ascending order.\nAnswer: w, 0.005, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 3*g**2\/2 + 6. Let z(f) be the first derivative of 5*f**3\/3 + 41. Determine z(h(s)).\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 76.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykffldxfyldlfff. Give prob of sequence yky.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-3))\/((-6)\/162). Let g be (6\/8)\/(9\/o). Which is the third smallest value? (a) 2 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29, -59, -103, -167, -257?\n\"Answer: -i**3 - i**2 - 20*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-4))\/(30\/260). Let y(a) = a**3 - 12*a**2 - 13*a + 1. Let r be y(h). Find z, given that -z**4 - r + 1 - z**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 - (54 - 22)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1620.4868 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/(-12)*(-52)\/78. Let t(n) be the second derivative of -9\/2*n**2 + 5\/12*n**4 + n + 0 - 1\/20*n**5 + a*n**3. Calculate t(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + ((-26506)\/406)\/(42\/(-9))\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atahmmhtmm. Give prob of picking 1 t and 1 m.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 453 (base 6) to base 12.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 3:17 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0169 - 43.\nAnswer: -43.0169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36776, 73500, 110226, 146954, 183684, 220416?\n\"Answer: q**2 + 36721*q + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 29. Suppose 12 = -b*l + 92. Let p be 4*l\/(10\/(-4)). Which is bigger: p or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1486 + 7?\nAnswer: -147d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 375*l**3 + 14*l + 2*l**2 - 188*l**3 + 4*l - 188*l**3 + 4 to s*l + h*l**2 + v*l**3 + d and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + 1*sqrt(288) + ((sqrt(336)\/sqrt(6))\/sqrt(7))\/sqrt(4))**2 + -1.\nAnswer: 104*sqrt(2) + 358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g. Let v(c) = -113976*c**2 - 12. What is v(i(l))?\nAnswer: -455904*l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**3 - 5*z**2 - 275*z + 1. Let s(d) = -10*d**3 + 15*d**2 + 823*d - 3. Determine -4*s(w) - 13*y(w).\nAnswer: w**3 + 5*w**2 + 283*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 52\/14 + -4 + (-1041)\/(-3570). Is 0 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 98030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57262 and -137.\nAnswer: 7844894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from sgvsshsvsvdssivivvsg?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**6\/120 + u**5\/20 + u**4\/6 - 2*u**3\/3 + u**2 + 127. Let p = 5 + -2. What is the remainder when s(p) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232 (base 11) to base 16\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12357, 49682, 111891, 198984, 310961, 447822, 609567?\nAnswer: 796196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -1, -78 in decreasing order.\nAnswer: 5, 1, -1, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**3 + 42*v**2 + 200*v = 0.\nAnswer: -4, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -312.7 and 10253?\nAnswer: 10565.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2*x - 8 = 0. Suppose -3*w - 13 = -l, -2*w - 2 = x. Let z(a) = 3*a - l*a - 9 - a. Let v(s) = s + 2. Calculate 9*v(r) + 2*z(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54702 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0*a**5 + 1\/210*a**7 - 3*a**2 + 0*a**4 + 0 + 0*a**6 + 1\/3*a**3 + 0*a. What is the derivative of g(n) wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axxxxxxaazaxxaaaaxaa. Give prob of picking 1 z and 1 a.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3\/4, -0.1, -0.4 in descending order.\nAnswer: 7, 3\/4, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/10*(-12)\/15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112 - -109. Let g(y) = y**3 + 2*y**2 + 4*y - 1. What is g(t)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**3 + v**2 + 2*v + 2. Let x(z) = -22*z**3 + 2919*z**2 + 7*z + 6. Calculate -4*q(k) + x(k).\nAnswer: -2*k**3 + 2915*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + 4*1*sqrt(91) + sqrt(91) + (sqrt(91)*1 - sqrt(91))*5)\/((sqrt(63)*-2)\/sqrt(9)*6).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*g + 33, 4*u - u = -4*g + 31. Suppose -g*y + 476 = -1392. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8351, -33455, -75295, -133871?\n\"Answer: -8368*f**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/4 of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.331672 rounded to two decimal places?\nAnswer: 67.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (169\/(-39) - -15) + -9?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*((l\/l**(-12))\/l)\/l)\/(l\/l**(-12\/13)) assuming l is positive.\nAnswer: l**(131\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - y. What are the prime factors of (-2 - y) + (0 - -19)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**4 - 2632*y**3 + 12*y**2 + 7904*y + 5264 = 0.\nAnswer: -658, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -17. Let h = q - -5.5. What is the second smallest value in 3, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8 = 4*x, -x - x + 2 = 2*k. Suppose -3*z + 2*p - p = -k, 5*z + 3*p = 22. Suppose 0*u + 2\/9 + 2\/9*u**4 + 0*u**3 - 4\/9*u**z = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420480181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 180 + -295. Which is smaller: d or -113?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26.80534mg?\nAnswer: 0.02680534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -16*f**2 + 7. Let b(d) = 129*d**2 - 12*d - 58. Let o(m) = b(m) + 8*s(m). Suppose -26 = -5*q + 3*q. Calculate o(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - z + 4)*(1 + 3*z - 1) + 0 + 2*z**2 + 0 + 2 - 22*z - 41*z**2 - 3 + 43*z**2 as s*z + g + c*z**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-20))\/((-440)\/50 + 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nineteen quarters of a minute?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4322 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 11:01 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19106378?\nAnswer: 2, 733, 13033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 5:38 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 170\/35 + (18\/7)\/(-3). Solve -4*t - y*r - 36 = t, 2*r - 12 = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m - 8. Let l(h) = -3*h + 3. Let r(i) = -i + 1. Let u(p) = -l(p) + 2*r(p). Let q(y) = -3*g(y) + 15*u(y). Does 11 divide q(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(3\/10)*6\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3183 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*d - 168 = 22*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13521323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*q = -6*q - 28, 0 = 2*y - 2*q - 18. Find the third derivative of -4 - b**6 + y - b**2 wrt b.\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1348*z**3 - 1 - 1351*z**3 + 1.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -4.2. Let b be (-4)\/(-18) + (-8)\/117. What is the nearest to 1 in z, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 16*q**3 - 1. Let j be v(1). What is the units digit of -6*(j\/(-2) + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4021262 to the nearest integer?\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5)\/q**(2\/3)*(q\/(q*q\/(q*q\/q**(-1)*q)))**(1\/28) assuming q is positive.\nAnswer: q**(-467\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 48.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-9)\/3)\/((-6)\/(-4)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*g - g. Let k(m) = -m - m + 18 + 4*m - 17. What is the units digit of k(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 20, 42, 84, 152, 252, 390?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -163\/1268514 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2201, -0.2, 323 in descending order.\nAnswer: 323, -0.2, -2201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 78832727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 59 in 1.894, 0.1, -0.5, 3\/4?\nAnswer: 1.894","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 5:17 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from uuwflucwflwwguullcfw.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 99597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10088 by 52.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (478\/(-8) + 255\/340)\/(-65 + 66)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110322233 (base 4) to base 6.\nAnswer: -1500355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5396651*u + 4*u**2 - 5396651*u + 4*u**2.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7*p*p)\/(p**(-5)*p)*(p\/(p*p**(-1\/2))*p)**50 assuming p is positive.\nAnswer: p**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(1*sqrt(8)) - -1*sqrt(363) - (sqrt(15)\/sqrt(5)*4 + (sqrt(135)\/sqrt(5))\/sqrt(9)).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/516 (b) -37\/6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 5*f**2 - 3*f - 1. Let v be (-1)\/(((-4)\/(-8))\/((-25)\/(-10))). What is x(v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13716 = -4*f + 4*i, 0 = -3*f + 4*f - 4*i - 3420. What is f rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-14)*-19 - (20 - 23). Suppose -1 = 3*w - 7. What is p in d*p**w + 0*p + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(12) - sqrt(40))\/(sqrt(512) - 2*sqrt(512) - sqrt(8)).\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136718338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3879738836?\nAnswer: 2, 61, 113, 223, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 + 2*z**2 - 5*z**3 + 7*z**3 + 2*z**2 in the form c + o*z**3 + b*z**2 + i*z and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + (3 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108017537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11011000111011000011011 (base 2) to base 9\nAnswer: -14333454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 1. Let v(f) = 71*f + 2. Let c(k) = 4*a(k) + v(k). What is the tens digit of c(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 9*v - 11. Let f be c(-10). Let j(w) = 4*w**2. Let t be j(f). Solve 0 = x - r + 2*r + t, 0 = -x - 3*r - 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one twentieth of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20384054 is divided by 689?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-1\/5))**(-9)\/((t**(-2\/5)*t)\/t*t*t**(1\/4)) assuming t is positive.\nAnswer: t**(-413\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 18960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**4\/2 + 8*i**3 - 33*i**2\/2 - 16*i + 104. Let d be p(12). What is d rounded to the nearest 10?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(833)*1 + -2 + sqrt(833)*-1 + 2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 174820*m**2*z**3 - 27*m**2*z**2 + 1239*m**2*z - m*z - 10*z**5 - z**2 - 1 wrt z.\nAnswer: 1048920*m**2 - 600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19887 - 2688 = 682*g + 613 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 985528432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 1, -112333 in descending order.\nAnswer: 2, 1, -2, -112333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, k: 1, g: 2, h: 1, b: 1, x: 2}. What is prob of picking 2 g and 1 b?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 81571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38, -83, -128, -173, -218?\n\"Answer: -45*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2587 = 6*r - 3605. List the prime factors of r.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, y: 2, l: 2, w: 9, p: 2, t: 4}. What is prob of sequence jtt?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/(-207))\/(-4*25\/(-16)). Is y bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/(-35))\/((-2)\/(-30)). Let j(g) = -6*g - 3. What is the units digit of j(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + q + 2 - q + 1 - 1 - q + 2*q - 3*q + (0 + q + 0)*(0 - 2 + 1) + 944*q - 799*q - 586*q + 2*q + 0*q + 0*q.\nAnswer: -442*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41*3402444.\nAnswer: -139500204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 8*r**2 - 5*r + 10. Determine t(8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from spuif.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((195\/18)\/(5\/1))\/((-21)\/(-28)*-1).\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzz when three letters picked without replacement from zszzsqzzzzzszs?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/1*(3 - -1). Suppose 4*m + 5*f + 0*f + f - f = 0, 0 = -f. Solve m = l*z - 3*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 44 = 6*v. Let b(l) = l**2 + l - 5. Give b(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - y**2 - y + 1. Let l(a) = 8*a**2 + 76*a + 31. Let t be l(-9). Let x(s) = -6*s**3 + 4*s**2 + 4*s - 4. Give t*x(o) - 20*w(o).\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2536*n + f = -2535*n - 9403181, -4*n - 3*f + 37612738 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*h - 7 + 39*h**2 + h**3 + 10 + 8*h as s + g*h**3 + k*h + v*h**2 and give v.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**3 + 3*m**2 - 3. Let z(g) = -4*g**3 - 2*g**2 + 2. Suppose 0 = -3*c + 7 + 2. Determine c*z(w) + 2*n(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195514.\nAnswer: 2, 11, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 87125 divided by 6?\nAnswer: 87125\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 0*g + 3 - 3 - g + 1. Let i be z(-2). Solve i*s = p - 6*p - 13, -s + 3*p + 5 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 10. Let m(j) = -2*j**2 - 3*j**2 + k*j**2 + 0*j**2. Let u(p) be the second derivative of -p**3\/6 + p. Determine m(u(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 - 1 + (1 + 0 - 2)*(3 - 3 - 2))*(1920 - 48*h - 1920) to b + d*h and give d.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**4\/5 + 328592*v**3\/5 - 26986931322*v**2\/5 - 205193154248*v - 199795702265 = 0. What is v?\nAnswer: -37, -1, 164315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -21*l + 169. Calculate the greatest common divisor of 176 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2. Let z(q) = 169 + 188 + 3*q - 13*q - 387. Give r(z(f)).\nAnswer: 100*f**2 + 600*f + 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4655\/3 + 1552. Let y = -4 - -2. Let w = 2.1 + y. What is the nearest to w in p, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**5\/4 - 61*v**4\/4 + 381*v**3 - 1964*v**2 - 1520*v + 8100 = 0.\nAnswer: -81, -2, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, y: 5}. Give prob of sequence fff.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-9))**(1\/47)\/((q\/(q\/(((q\/(q\/(q*q**(-23)\/q*q))*q)\/q)\/q)*q))\/q**(-10)))**(-10\/9) assuming q is positive.\nAnswer: q**(-6490\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -1 + 0*j**4 + 0*j**2 + 4*j**3 + 0*j - 3\/5*j**5. Find the third derivative of l(g) wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -565 - -634. Suppose -27349 = -76*m + t*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282990243?\nAnswer: 3, 47, 83, 24181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1698 - 8115 + 1038 = 585*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 18*p + 23. Let u be o(17). Let y be ((-6)\/5)\/(u\/(-20)). Suppose -y*h + 432 = 2*h. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**3 - x + 16*x**3 + 2*x + 4 + 0*x - 5*x**3 to b + n*x**3 + h*x + a*x**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1254977*t**2 + t + 527714 wrt t?\nAnswer: -2509954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -30606 divided by 3?\nAnswer: -10202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -56900 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**4\/4 + 469947*m**3\/2 + 11279097*m**2\/4 + 4934625*m + 2349825 = 0.\nAnswer: -10, -1, 313310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 = 4*n, 3*v - 3*n = -0*n + 24. Suppose v*l + 2*x - 110 = 7*x, -x = -3*l + 62. Is 20 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15322913?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49659895717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**2 + 89884*s - 2249600 = 0. What is s?\nAnswer: -22496, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*v + 21 = -3*a - 93*v, 12 = -5*a + 7*v - 8*v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -3, -0.18, -0.03.\nAnswer: -3, -3\/2, -0.18, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - -0.8. Which is the closest to -1? (a) 5 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 12*i - 8. Suppose 5*d + 15 = 0, 57*g - 2*d = 54*g + 6. What is a(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440889018 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**3 - 98*m**2 - 35*m + 1718. Let y be w(49). Factor -10 - 24*b - 2\/5*b**4 - 92\/5*b**2 - 24\/5*b**y.\nAnswer: -2*(b + 1)**2*(b + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 1. Let n(o) = 39 - j + 35*o - 19. Let f(g) = -g - 1. Let r(i) = 5*i + 3. Let q(s) = 3*f(s) + r(s). What is n(q(z))?\nAnswer: 70*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6736 is divided by 1342?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 2*r + 19, 34 = 4*h + 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -7*v**2 + 0*v + 0 + 0*v**3 + 5\/12*v**4 + 7\/120*v**6 + 0*v**5. What is the second derivative of a(l) wrt l?\nAnswer: 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -12, 2*z + 5*n - 22 - 2 = 0. Let o(g) = -3*g**3 - g - 1. Let v be o(-1). Differentiate -z*a + v*a + 0*a - 1 with respect to a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-7) + (-121)\/(-7). Let i = 164 + -87. Let n = 230 - i. What is the highest common divisor of w and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -10, 23*u = 25*u + 3*i - 8. Let o(b) = b**2 - 2*b + 3. Calculate the remainder when o(6) is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 + 590 = -108*n + 101 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1040 by -2.\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**4\/16 + 101*l**3\/12 - 13*l**2 - 51*l - 2549. Factor q(t).\nAnswer: (t - 2)*(t + 1)*(t + 102)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (128\/(-8))\/(32\/(-20))*-21*(-6)\/12?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 10*p**2 - 4*p - 89. Give t(0).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 302 and 2830646?\nAnswer: 2830646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*h + 5. Is (2\/7 - (-13550)\/(-42))*h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1238429 is divided by 123840.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 - -39.66. Let f = -1.29 - y. Let h = 0.05 - f. What is the third smallest value in 4, h, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u - 11. Let h(g) be the second derivative of -g**3\/6 - 5*g**2\/2 - 13*g. What is 13*h(c) - 6*i(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 0.2, 4.\nAnswer: -4, 0.2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*b - 10, 5*b - 2*m + 18 = -6*m. Let p be 1*b - (4 + -142). Suppose 3*i - 4 = 4*i, -4*l = 2*i - 60. What is the greatest common divisor of p and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 - 5*a**2 - 3. What is h(-4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4*12\/90*8?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*(3 + (-8)\/3). Let b(y) = 14*y - 1. What are the prime factors of b(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 8, x: 4, t: 2}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23620 and 27540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -196559099.3 rounded to the nearest 10000?\nAnswer: -196560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -38. Suppose -5*r = -4*h + 19, h + s = 3*h + 2*r. Suppose -b + h = b. Solve -3*d = 2*j - 3, -j + 8 = -b*d - 2*d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 309616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 2 + 14 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2032019*n**3 + 1705*n**2 + 1705*n - 1705. Let i(k) = 2385*k**3 + 2*k**2 + 2*k - 2. Calculate 2*c(t) - 1705*i(t).\nAnswer: -2387*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 8*y**3\/3 - y. Let q(f) = f + 6. Let z be q(0). Let x(d) = -d + d + z*d - 3*d - 5*d. Determine x(o(p)).\nAnswer: -32*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 867656.9 minutes?\nAnswer: 52059414000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 10*b + 2. Let l be v(10). Suppose l*y - 511 = 127. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*(h*((h*(h**5\/h)\/h)\/h)\/h)\/h)*h**(2\/15)\/h)\/((h**(-20)\/h)\/(h\/h**30*h)))**(7\/4) assuming h is positive.\nAnswer: h**(-259\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/(-5) - (5 - 1). Suppose -p*z - z = 40. Let t be (-4 - -5)*(-10 - -2). Is z > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -771005.86 rounded to the nearest ten thousand?\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45210)\/1507*4\/(-1110).\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-45))\/(1344\/1680).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*m**2 - 39*m**2 - 33*m**2 in the form u*m + q*m**2 + o and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5937?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3749 - -406. Suppose 3*v - 4*n - 2482 = 0, -5*v - 3*n + 6*n + a = 0. What are the prime factors of v?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1636*p - 2 - 1645*p.\nAnswer: -9*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 2*p - 13, -3359*b - 25 = -3362*b - 7*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 1. Let q(j) = -j**2 + j - 6. Let w(f) = -3*p(f) - q(f). Let o be w(-3). Find the second derivative of 17*c + o*c - 3*c**3 + c**3 wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 f, and 1 a when three letters picked without replacement from dafklkdkrkfl.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 5. Let w = l - 33. Let i be 238\/63 + (-4)\/w. Solve 0 = -3*d + 16 - i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 25*t + 77252 = 6*t. Does 62 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 10 = -4*t. Let k = -2 + 2. Differentiate -t*q**4 - 3*q**2 - 4 + 3*q**2 + k wrt q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178, 588, 1270, 2224, 3450, 4948, 6718?\nAnswer: 8760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/(-3) + 4\/6. Let h = 7 + -7. Suppose 3*j + 1 + 5 = h. Is m not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1174785*6.5.\nAnswer: -7636102.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 22+-1944108\nAnswer: -1944086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04511 - -0.0199.\nAnswer: -0.02521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -382*f**3*u**3 + 22*f**3*u + f**2*u**2 - f**2*u + 1472*u**3 + 1 wrt f.\nAnswer: -2292*u**3 + 132*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 + 0)*(y + 2 - 2) to a + n*y and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 37146?\nAnswer: 37146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -33) + (0 - (-1 + 0))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 44.1 (c) -3\/6445 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12484 is divided by 346?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2281 (base 10) in base 13?\nAnswer: -1066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 15*q**2 + 13*q - 9. Let s(c) = -3*c**2 + 2*c - 3. Calculate -f(w) + 3*s(w).\nAnswer: -24*w**2 - 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**2 - 12*g**2 - 23*g**2 - 15*g**2.\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3 = 3*n, 0 = 4*w - 7*n + 8*n - 13. Let d(q) be the first derivative of 1 - 2\/7*q**3 - 1\/14*q**w - 2\/7*q**2 + 0*q. Solve d(p) = 0 for p.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 14*a**2 - 15*a**2 - 38*a - 3 - 7*a**2 + 22*a**2 to r + f*a**2 + w*a and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -3\/5 (b) -759 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 15*o - 12*o = 34, -6 = -2*x + 4*o. Let f be 3\/(x - 8) - -5. Solve 3*p + 5 + 0 = -f*n, p - 2*n + 7 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 0 - (-222)\/270. Let p = 1663\/180 - z. What is the common denominator of -23\/20 and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2755, 11013, 24777, 44047, 68823, 99105?\nAnswer: 134893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -9. Let b = n + -6. What is the nearest to -1 in b, -1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 947182111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(1\/18)*(w**(1\/3)*w)\/(w\/w**(-2\/9))*(w*w\/(w**3*w)*w**1\/w)**(-34\/5) assuming w is positive.\nAnswer: w**(1229\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -513 divided by 3?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 8*t. Let c be 3\/(3\/(-5) + t). Sort -3, c, -2 in descending order.\nAnswer: -2, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 13*i**2 - 4*i - 28. What is the remainder when 93 is divided by r(-13)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.2482 micrometers?\nAnswer: 0.0000000062482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y - 2. Let p be k(-1). Does 12 divide (9\/p)\/(69\/72 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 0*j - 3*j)*(-54 + 1999 - 261).\nAnswer: -3368*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 times -418\nAnswer: -71.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z. Let s(q) = 125*q. Give i(s(a)).\nAnswer: 375*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + 2.95. Which is the closest to 0? (a) y (b) -0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = x - 6*x. Let i be (2\/(-3))\/(1\/(-3)). Let z be i\/(-3)*x\/(-56). Which is bigger: 2\/3 or z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 7*n**2 + 71*n - 314. Give i(8).\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1529 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 108*o**3*z**3 + 139894*o**3*z**2 + 153*o**3 + 35517 wrt z.\nAnswer: 324*o**3*z**2 + 279788*o**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (717\/(-357) - -2)*(-22)\/(132\/15). Is s less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 0)*(-12*x + 7*x + 13*x).\nAnswer: -40*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(39\/(936\/(-48))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*s + 5*a + 23, 15 = -3*a. Let y(m) be the first derivative of -3 + 0*m**s + 1\/3*m**3 - 2*m. What is y(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 15*x**3 - 3*x**2 + 11*x + 4. Let t(y) = -12*y**3 + 2*y**2 - 10*y - 3. Give 2*i(a) + 3*t(a).\nAnswer: -6*a**3 - 8*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -195.884 rounded to the nearest integer?\nAnswer: -196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(304))*-4)**2.\nAnswer: -256*sqrt(19) + 4928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - (sqrt(105) - -2*sqrt(105) - sqrt(105))\/sqrt(5))\/(-2*-1*sqrt(7)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 379013906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 469 + -483 + (1 - (-8 + 1)) + -60?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1455 - -16037\/11. Let u = 97\/22 - z. Let x = 35\/96 + -1\/32. What is the closest to 1\/3 in 2, u, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/271, 0, -225\/7 in increasing order.\nAnswer: -225\/7, 0, 3\/271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 6. Suppose -9 = x + 2*x. Let j be (-1 + b)*(x + 2). Solve q + 0*q = j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + -1. Let k(p) = p + 25. Let t be k(b). What is the second derivative of -774*v**2 + 8*v**4 + 3*v**t + 774*v**2 + 11*v wrt v?\nAnswer: 132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.9 - -3. Suppose -4*w - 5*k - 9 = -0, 3*w - 3*k - 27 = 0. Which is the second smallest value? (a) w (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = -205 + 229 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10))\/(64\/40).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100 + 2*g - 100 - 13*g**4)*(-7 + 4 - 7).\nAnswer: 130*g**4 - 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/7 (b) 89 (c) 0.5 (d) 0 (e) -16\/57 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 46*t**2 - 7. Let h(y) = -3*y. Calculate h(c(f)).\nAnswer: -138*f**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w + 4. Let i be (-3 - -5) + -1*9. Is s(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -154, -242, -350, -478, -626, -794, -982?\n\"Answer: -10*i**2 - 58*i - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 243\/7, 4, -15, 24 in decreasing order.\nAnswer: 243\/7, 24, 4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -5, -1 = 3*x - 3*f + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 36*w**2 + 4. Let m be n(-6). Suppose 2*f - 3*f + m = 0. What is f rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 1. Let r = 0 - d. Which is the second biggest value? (a) 0.2 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 3. Let m be 29\/5 - y\/(-5). Suppose -k + m = 2*k. Solve 8 = k*d + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s + 26262 = -6*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -5*p**3 + 100*p**2 + 19595*p + 180950 = 0.\nAnswer: -47, -10, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/6 (b) 3 (c) 1039522\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*k**3 - 75*k**3 + 38*k**3.\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1 + 13751*g + 5*g**2 - 13753*g + 4. Let k(u) = 7 + 3*u**2 - 5*u + 8*u**2 + 0*u. Give -3*k(h) + 7*r(h).\nAnswer: 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 66460 = -4*i, -5*z + 55415 = 14*i - 17*i. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 z when four letters picked without replacement from {m: 3, g: 9, z: 1, r: 1}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/5 + 462\/35)*42. Is 20 a factor of 742950\/x - (-5)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -325 + 328. Solve -o*j = y - 4, y - 5*j + 0 + 12 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, s: 1, h: 2}. Give prob of sequence hshl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 233282965 to the power of 1\/3, to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*z - 12. Let w be 4\/(2\/8 + (-1)\/(20\/(-35))). Let j(t) = 0*t**w + 2*t**z + 9*t**2 - 3*t**2. Let h(d) = -7*d**2. Determine h(j(k)).\nAnswer: -448*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1252 + 1264. Let p be (9\/l)\/((-405)\/(-324)). Suppose 12\/5 - 9\/5*v**2 + p*v**3 + 0*v = 0. Calculate v.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 10:47 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2445966*n**4 - 856071*n**2 + n wrt n?\nAnswer: -58703184*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 4 - (4 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40973 is divided by 394?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 - 1 = 3*g. Calculate the remainder when (3\/2)\/((-18)\/(-1356)) is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015072 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*2*(1 + (sqrt(672)*-5)\/(-2*sqrt(24))))**2.\nAnswer: 640*sqrt(7) + 11259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -27*d - 11. Let i(a) = 23*a + 14. What is 3*h(z) + 2*i(z)?\nAnswer: -35*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 238, 635, 1192, 1909?\nAnswer: 2786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.105 + 52.895. Let f = -11319\/8 + 1415. Which is the smallest value? (a) f (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4452, -4448, -4434, -4404, -4352?\nAnswer: -4272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1)\/((-21)\/14 + 1). Factor q**2 + 12*q + 16*q**4 + 32*q**3 - 3*q**g - 8*q + 22*q**2.\nAnswer: 4*q*(q + 1)*(2*q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 34 - 115 - 533*z + 40 - 541*z + 1076*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198 and 72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((6\/(-12))\/(1082\/4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 8*f**4\/3 - 1078*f**3 + 13636*f**2\/3 - 4800*f = 0.\nAnswer: 0, 2, 9\/4, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19851 - 4525927\/228. Calculate the common denominator of t and 74\/9.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2805.23 + -2773. Let k = -61.25 + x. What is k rounded to 0 decimal places?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 0*g**3 - 1\/20*g**6 - 4*g + 0*g**4 + 0 - 1\/56*g**7 + 0*g**2 - 3\/80*g**5. Factor m(f).\nAnswer: -3*f**3*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 9*g**4 - 84363*g**3 - 1973817*g**2 + 4200687*g - 2142516 = 0.\nAnswer: -76\/3, 1, 9397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/15, 10, -1\/9 in decreasing order.\nAnswer: 10, 0.1, -1\/9, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c**15*c))\/c)\/c)\/c*c\/(c**20\/c)*((c*c\/(c*c**(-1\/13))*c)\/c)**(-6\/5))**(15\/7) assuming c is positive.\nAnswer: c**(-7272\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y - 32. Let u(t) = -5*t + 12. Let k be u(0). What is the remainder when 78 is divided by f(k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2388825 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (5 - (-5 - 4) - (2 - 3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 15 = -4*z - 2, -z = -1. What is the tens digit of (59\/(-4))\/(5 - m\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 257, 2, -11, -5, -3, 3 in increasing order.\nAnswer: -24, -11, -5, -3, 2, 3, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2. Let w(h) = h**3 - 2*h**2 - 8*h. Let v(j) = -w(j) + 5*z(j). Let s be v(8). Suppose -5*k + s*k = 0. Solve k*o + 5*x = o + 1, 2*x = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 5 - 5)*(1 - 4 + 1) - 2 + 2 - 4*n + 5*n - 5*n - 2*n + n - 2*n + 2*n + (2 - 3 - 1)*(-2*n - 2*n + 2*n) - n - 2 + 2 as t + h*n and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8 = 4*i, -3*d = 2*i - 6 + 2. Is (1 + i)*(9548\/21 + 6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -261173\/20 - -13054. Let c = -418833\/26 + 16107. What is the common denominator of x and c?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 8:14 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(48\/4)*(10 + -11).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 0*g**2 + 4*g**2)*(2*g**2 + 0*g**2 - 3*g**2) + (1 - 1 + 2*g**4)*(6 + 1 - 6).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4101\/(-6835)*((-8)\/12)\/((-1)\/(-75)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6196, 26802, 61142, 109216, 171024, 246566?\nAnswer: 335842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3509 + 2169. Round r to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14181 + 318010. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 2:34 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -9*i - 14. Suppose 2 = -3*t - 16. Let r be b(t). Let c(f) = 3*f**2 + 4*f + 5. Let m be c(-3). Calculate the greatest common factor of r and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 + 147. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2198 + 2202. Solve -2*y = 5*s + y + 10, -2*s = -5*y + f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, g: 1, e: 1, w: 1}. Give prob of sequence ww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-2 - -3) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.369 - -0.121. Let p = -0.01 - r. What is the closest to -3 in 2, p, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-4)*g)\/g)\/(g*g**(-9))*g\/(g**(4\/11)\/g)*g*g**4*g)\/((g\/(g*g*g\/(g*g**(3\/5))))\/g**(4\/3))**30 assuming g is positive.\nAnswer: g**(711\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34312 + 34306. Let g(h) = 2*h**2 - 24*h - 3. Let w(o) = 2*o**2 - 25*o - 4. What is u*g(x) + 5*w(x)?\nAnswer: -2*x**2 + 19*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -9*c + z + 9, -c + 4*z = -6. Suppose 5 - 11 = -2*b. Solve c + b = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k - 17. Give x(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 11:35 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 112*d**3*q**2 + 35*d**3*q + d**2*q**2 - 3*d*q + 1 wrt q.\nAnswer: 224*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 10*z**2 + z**3 + 30 - 4179*z + 0*z**3 + 4190*z - 11. Let g be 3\/6*(5 - -13). Is c(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 43*s - 1170. Determine x(26).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s + 18. Suppose 28*i + 118 + 50 = 0. Calculate o(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3870570 by -370.\nAnswer: -10461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -2411. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51645.99 rounded to the nearest one hundred?\nAnswer: -51600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 5327?\nAnswer: -1\/5327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 3*s + 2*s)*(-2 + 2 + 2)*(3 - 2 - 2)*(-s**2 + 0*s**2 - s**2).\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3102 - -72.\nAnswer: 71.6898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 23*h**2 + 9*h - 32. Let c(d) = -841*d**2. Calculate r(c(q)).\nAnswer: 16267463*q**4 - 7569*q**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 73 + 163?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1068199, 1068200, 1068201, 1068202?\nAnswer: 1068203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 8:12 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 35, 47, 63, 83, 107, 135?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b4 - -d1?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.08 (b) 8\/3 (c) -77 (d) 3 (e) -15.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2427434862.46570031 + 2427434795. Let c = 67.4937 + z. Let v = 0.028 - c. What is v rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + d + 9, 25 = -5*d + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 9*m + 92. Suppose 0 = -30*w + m*w + 3864. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**3 + 7*u**2 - 27. Let x(f) = 2*f. Give x(c(m)).\nAnswer: -6*m**2 + 28*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20.3 - -20.5. Let l = -19990\/7 + 2851. Let b = -92\/21 - l. What is the second biggest value in b, -0.7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11040 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215, 65, -85?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 845 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y. Let s be i(-1). Let f be (s - (-8)\/(-2)) + 7. Solve 3*x = -2*x - f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x**3 - 24*x**3 + 84*x**3 - 27*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, c: 2, h: 2, z: 1, d: 1}. Give prob of sequence zh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8*i**2 - 9*i. Let d(c) = 12*c**2 - 14*c. Let s(q) = -5*d(q) + 8*z(q). Let u be s(-1). Solve 4*a + 1 = 3*h - 0, u = -2*h + a for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 42\/5323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 301 and 1187316?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34.9 - 35. What is the third smallest value in 4\/7, i, 1\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 4*v**2 + 1 + 0*v**2 - v**3 - 3*v**2. Give k(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 2*s + 35152*s**2 - 35153*s**2 - 4*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4515, 4513, 4511, 4509?\nAnswer: 4507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 45*v + 86.\nAnswer: (v + 2)*(v + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 10 = 3*q. Suppose f + q - 15 = 0. Suppose m + f = 5*m. Put -5, m, 4 in decreasing order.\nAnswer: 4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59523 = 7*l + 1111. Let b = l + 19775. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1604 + 1905 - 1392)*(-5 - 8 + 7)*(-4*l + 4*l - l**2) to the form t*l + a + y*l**2 and give y.\nAnswer: -6546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.95 - -1. Let v = -0.05 + u. Let n = -2\/231 - -4\/21. What is the second biggest value in -2\/5, v, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 17 = 33*t. Suppose t*a + 4*r = -4, -3*a - 4 = r + 4*r. Solve 3*y + a = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a - 6. Let p(w) = w - 1. Let r be p(-4). Let i(y) be the third derivative of -11*y**2 + 0*y + 0 - 1\/4*y**4 - 5\/6*y**3. Give r*q(t) + 6*i(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17462 (base 8) in base 13?\nAnswer: 3834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77084270993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 102*k**2 - 1. Let l(q) = -3*q. Determine a(l(o)).\nAnswer: 918*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 355*-19)*1. Suppose 11*l + 2267 - u = 0. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.4*0.03\nAnswer: -0.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 - 3*j - 2. Suppose -l - 9 + 6 = 0. Let u be c(l). List the prime factors of (15\/u)\/(1\/(-16)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 5*p**2 + 4*p - 1. Let q be y(-3). Suppose -2*m - 5*o = 8, -q*m + m + o = -6. Is 1 equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 68*y + 67*y + 8 - 193*y + 62*y. Give t(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - 9*g**2 + 4. Let r(v) = 3*v - 1. Let d(f) = 5*f**3 + 18*f**2 - 18*f - 3. Let n(p) = -d(p) - 6*r(p). Calculate -9*a(q) + 4*n(q).\nAnswer: -2*q**3 + 9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) + sqrt(22))\/sqrt(2) + sqrt(11) - (2*(-1 + sqrt(11)) + sqrt(11)))**2 + -1.\nAnswer: 8*sqrt(11) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x + 28 - 284 = 0. Let y = -4 + 11. Solve 2*o - x = 4*h, 2*o + y*h + 16 = 3*h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**3 - 2*c**2 + 1. Let y(t) = 5*t**3 - t**2 + 1. Let s(q) = -6*x(q) + 7*y(q). Let k = 4 + -8. Let i be 0\/(-1) + 1 - k. Give s(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 63 + 63 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12581 is divided by 899.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -246 + (4 + -3)*1. Suppose 953 = 16*p + 7305. Let m = v - p. Is m a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-24)\/81)*12. Let t = -44 + k. Is t a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23490000 rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 29 = 4. Suppose -q = -4*b - 21 + 3, -o*q - 2*b = -2. Let p be q - 2 - 15\/(-5). Solve p*x + 1 = 4*v, -3*x + 2*v = -4 - 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286237 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5380, -5382, -5384?\n\"Answer: -2*b - 5378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-116 + 446)*(18\/5)\/(-3). Is a bigger than -394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3\/7, 2\/303, -2, 1\/6, 1, 2\/3, -0.05?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 0. Let i be (-10)\/(-45) + (11 - 1043\/117). Which is smaller: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -775 - -778.83. What is y rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6699 (base 11) in base 6?\nAnswer: -104500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*n + 95865 = 199*n + 649*n for n.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*60\/40.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449\/(-1035) + (-339)\/10*-326 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 16*d - 84. Let w be (-361)\/(-57) - 1\/3. Let s be f(w). Solve -4*c + 4 + s = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 - -1300. Suppose -11*r + 1416 = -o. Calculate the highest common divisor of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14*(-30)\/11760*(-2 + -5). Let v be (-16)\/(-6) - 1\/(-3). Which is the biggest value? (a) -1\/9 (b) v (c) -1\/12 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9479 (base 12) to base 3.\nAnswer: -211020210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1273390 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12469469, 24938944, 37408419?\n\"Answer: 12469475*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37185 and 1759128.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o + 2. Let p(b) = -14*b - 5. Suppose 5*s + 0*s + 40 = 0. Give s*y(v) - 3*p(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3837, 3835, 3831, 3825, 3817, 3807?\nAnswer: 3795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*i - 5*f = 288, 0 = -2*i + 2*f + 294. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (5 + 2 + sqrt(7) + sqrt(7)))*-3.\nAnswer: 3*sqrt(7) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/8)\/((-2)\/16). Suppose 0 = 2*b - l*b + 1682. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5*b = 10, -2*z - 421*b + 418*b = 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 977113034 to the nearest integer?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**3 - 2*o**3 - 3*o**3 + (o**2 - 2*o + 2*o)*(3 - 2*o - 3) - 4*o**3 - o**3 + 6*o**3 - 5*o**3 + 27 - 27 - o**3 - 3*o**3 + 2*o**3.\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*(-2352)\/(-686)*7\/172*2.\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.123175894 to four dps.\nAnswer: 0.1232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101939198 and 436?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 14119*p - 628. List the prime factors of r(1).\nAnswer: 3, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-75) - 399\/(-45). Let r = o - -74. What is the remainder when r is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 + 8*x + 12. Let l be o(-6). Suppose 4*w - 256 + l = 0. Suppose -5*s - 47 = -2*n, 4*n = s + 3 + w. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2483 - 2235.4. Let i = f + -248. What is the second biggest value in 3\/2, i, 4, 16\/5?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17\/195 - -16\/65. Let o(f) be the second derivative of 1\/18*f**4 + 1\/45*f**6 + 0 - 1\/10*f**5 + a*f**3 - 2\/3*f**2 + 6*f. Find z, given that o(z) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: a830e (base 15) to base 3\nAnswer: 1000010102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 17*z = 15. Let l(m) = 17*m - 23. Let k be l(z). Solve -2*v - 8 = -0*v - 2*s, 5*v + 3*s + k = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-222)\/(-370)*(-60)\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2 + 4 + 4*p - 8*p**2 + 5*p**2 + 4*p**2. Let l be i(-2). Suppose -5*o - l + 27 = 0. Calculate the remainder when 19 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**6\/20 + k**5\/30 - k**4\/24 + 2*k**3\/3 - k**2 - 158*k. Let n(m) = -11*m**3 + 4*m**2 - 3*m + 7. What is 7*a(w) - 4*n(w)?\nAnswer: 2*w**3 - 2*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1069*x + 810*x + 2590 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + 462 - 2*j**3 - 218 - j**2 - 217 to p*j**2 + q*j + w*j**3 + a and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (132\/10)\/(4\/(-20)). Let t = 110 + w. Suppose -6*q + 2*q = -t. 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 next in 75, 56, 3, -102, -277?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*p = -103*p - 207. Let a(t) = 11*t + 205. List the prime factors of a(p).\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*z - 60*z + 31*z - 2*z**2 - 17*z**3 to the form v*z**2 + m + x*z + q*z**3 and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.41 in 22, -1, -25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29391542 divided by -6.\nAnswer: 14695771\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 222944*y**2 + 57526.\nAnswer: 445888*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 1. Let w(n) = -186*n**3 + 3*n**2 + 3*n - 5. Let j(k) = -4*i(k) + w(k). Is j(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3841148549?\nAnswer: 7, 2801, 195907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 0.08 (b) 3\/2 (c) 7130.68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6368131*p**4 + 871067*p - 3?\nAnswer: 76417572*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 502\/(-2761)*(-121)\/(-1144)?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 3*z + 13. List the prime factors of p(-7).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -206*n**2 + 6*n + 7. Give b(-1).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nznn when four letters picked without replacement from zbnzznbnnz.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19050 + 19051. What is the highest common factor of 996 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3138*l*q**2*t**2 - 1324*l*q + l*t - q**3*t**2 + q**3 - 2*q**2*t wrt t?\nAnswer: -6276*l*q**2 - 2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.26 + -8.74. Let l = 2.37 - 12.41. Let b = l - d. Round b to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117 + -129. Let l = c - -15. Suppose 3*z - l = 2*u, 5*z - 4*u = -3*u + 12. Solve 3*r - a + 5 = 0, 5*r + 10 = a + z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + 2\/4 + (-1220)\/(-40). Suppose -128*p + 121*p + v = 0. Suppose 4*m = -4*h + 28, 3*h = 5 + 10. Solve p*c - m*c - 6 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 9*r + 22. Give x(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**4\/12 - r**3\/3 - r**2 - 6*r. Let l(v) = 6*v**2 - 10*v - 11. Suppose -10*q = -8 - 102. Determine q*o(f) - 2*l(f).\nAnswer: -f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7007508.\nAnswer: 2, 3, 194653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 2*(sqrt(108) + -1 + sqrt(108)) + sqrt(108))*1)**2.\nAnswer: 60*sqrt(3) + 2701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -137a5b (base 12) to base 9\nAnswer: -544288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50186?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 5*m**2 - 4. Let r be w(-5). Suppose -5*f + 4*q = -26, 1 = 3*f + q - 1. Is 16\/f*(r + 6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8734 = -3243*s + 2846*s for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53393, -53393, -53395, -53399, -53405, -53413?\nAnswer: -53423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(-9)*2\/(-4). Let h = 75 + -168. Let n = 96 + h. Which is the nearest to 0.1? (a) m (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9305524?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -159\/8 + 341\/8. Find the common denominator of j and 101\/236.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 143 + -137. Solve 5*j = -a + 2*j - 2, -3*j + w = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - w**2 + 1. Let x(n) = 8*n**3 + 7*n**2 - n - 5. Let b(f) = 5*c(f) + x(f). What is the units digit of b(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 1087277.\nAnswer: -6\/1087277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*h + 4 + 18, -4*h - 3*v = -14. Suppose -u + 5 = 2, -5*n + 31 = 2*u. Let l = 0 + 3. Sort h, l, n, -5 in descending order.\nAnswer: n, l, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10310203011 (base 5) in base 16?\nAnswer: -a82fb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1204944 and 4992?\nAnswer: 9639552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-63))\/(-9*(-4)\/(-42))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-3) + -39 + -1. Let m be t - (3\/3 + 0). Is 8 a factor of m\/4*(0 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -753 + 750. Sort 4, l, 45\/11 in ascending order.\nAnswer: l, 4, 45\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28952 + -13680. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 241*a**4 + 237*a**4 - 480*a**4 - 3*a**2 + 0*a**3 - 2*a**3 + 4*a**2 - 82*a + 2 to the form p*a**2 + k + b*a**3 + w*a + x*a**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -1915*g - 18. Let n be z(-8). Let t be -5 + (1101130\/12)\/(9 - 15). Let f = t + n. What is the common denominator of 34\/33 and f?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 147 + k**4 - 4*k**4 - 158 wrt k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) 3 (b) 5 (c) -0.7 (d) 10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2*64\/6. Let i(m) = 2*m**2 - 26*m. Let z be i(13). Let a(t) = 4*t - 4. Let r be a(6). Solve -c - r = 5*q + c, z = 4*q + 3*c + y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from {l: 5, j: 7, m: 4, e: 2, y: 2}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 14. Let q be r(-6). Let l = -58 - -121. Let a = l + q. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 41, 111, 209, 335?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 8. Let q be 1*(-32 - (w + -1)). Let n = 38 + q. What is the remainder when 9 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59.3 - -83.\nAnswer: 142.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/5 - 3440058*j\/5 + 688011.\nAnswer: 3*(j - 1146685)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5200\/910)\/(11\/(-77)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1308, 2619, 3930, 5241, 6552, 7863?\n\"Answer: 1311*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 6677.\nAnswer: 3, 4, 6677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-17)\/3 + 5)*-9. Let n(v) = -v - 5. Determine n(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from ixipxxipix.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6441 divided by -3\nAnswer: 2147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21657*m + 2385 = 21702*m for m.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (4 + -3)) + 1921 + -1925.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -15.042\nAnswer: -6.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10881 * -1.8\nAnswer: 19585.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1201, 919, 637, 355, 73, -209?\n\"Answer: -282*x + 1483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 d when three letters picked without replacement from djjjdddddjdeddjdd.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**4 - 19*a**3 + 9*a - 22. Let i(h) = h**3 - 2*h. Let t(w) = -b(w) - 4*i(w). What is the second derivative of t(q) wrt q?\nAnswer: 24*q**2 + 90*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1815*x - 4 = 1773*x - 869*x - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6012525?\nAnswer: 3, 5, 80167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 5:36 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/(-960)*-4*(-30)\/72?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0+-37\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*n - 122 + 122 + (-2*n + 0*n - n)*(-1 + 0 + 2).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-28 + 15*o**2 + 28)*(0 + 0 + 2*o**2) + 6*o**2 - 6*o**2 - 2*o**4.\nAnswer: 58*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 12:24 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (325\/15 + -6)*75 is divided by 84.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10570153*u**3 - 6*u**2 + 258315148*u.\nAnswer: -63420918*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.5, -30, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 34917 = 4*m + 4*q, 2*m - 5*q = 17465. Is 58 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 367879*u. Let m(k) = -k. Determine m(n(z)).\nAnswer: -367879*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 4, 4\/291, -5.\nAnswer: -5, 4\/291, 0.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215773, -431548, -647323, -863098, -1078873, -1294648?\nAnswer: -1510423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1557*g**2*h**2 + 32*g**2*h + 64070*h**2 wrt g?\nAnswer: -3114*g*h**2 + 64*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12068367863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + a - 4. Let d be o(-4). Let i(u) = -u**3 + 9*u**2 - 7*u - 11. Let z be i(d). What is the nearest to 1 in 8, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 15, 3\/8, 3, -19, 0.085?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1142159833 rounded to six decimal places?\nAnswer: 0.114216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 z when three letters picked without replacement from zzrzbzbblqzqqq?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*v - 27, -t - 5*v = 2*t - 123. Suppose 0 = 4*d + 4*y - 6*y - t, 4*y + 16 = 0. Suppose 3*s - d = -1. Solve -2*z + 16 = s*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3342159 and 219.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(1500) + sqrt(60) + sqrt(600)\/((sqrt(10) - -1*sqrt(10)) + sqrt(10)))\/((sqrt(12) + 6*sqrt(60)\/sqrt(5))*4))**2.\nAnswer: 11045\/1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*t - 1. What is the nearest to -2\/5 in t, 3, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*s - 11*s + 35, 0 = -4*x + 8*s + 107300. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**5\/20 - 2*o**4\/3 + 5*o**3 - 25*o**2\/2 + 280*o - 1. Calculate z(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 38 = -3*c, -5*l = 5*c - 41 + 11. Suppose 9*a - l*a - 16 = 0. Let u = 10 + -6. What is the least common multiple of a and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + z**2 - 3*z + 4. Let k be b(0). Solve -k*h = h + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2\/11, 0.35?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrc when three letters picked without replacement from {r: 3, c: 11}?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 0.6002.\nAnswer: -0.24008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1053*k - 71. Let b(p) = 351*p + 23. Determine -7*b(j) - 2*m(j).\nAnswer: -351*j - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327511.\nAnswer: 327511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.43 - 4.43. What is the closest to 6 in -1, u, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.520863 to two dps.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + v = -14, -3*b + 10 = -5*b + v. Let i be b\/4*(-2)\/(-1). Which is bigger: -11\/4 or i?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40 + 0 - 52) + 50 + 24\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(8 + -6 + -2). Suppose g = -6*b - 1 + 73. Solve 8*o + b = 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.6 in 4.2, -0.06, -1?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.5 - 2. Let k = 28.8 + -16.5. Let h = k + j. Round h to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 9*b**2. Let j(q) = -3*q**3 - 37*q**2. Let c(l) = -9*h(l) - 2*j(l). Find the third derivative of c(y) wrt y.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118 divided by 11\nAnswer: -118\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140597825?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 - 9*v**2 - 6*v + 12. What is y(-5)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l. Let b(u) = 6*u**3 + 3*u**2 - 5*u - 10. Let d be b(-2). Let g be ((-6)\/d)\/(3\/(-18)). Let n(y) = -2 + 0 + 3 - y. What is g*n(c) + 3*m(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348 a factor of 3192064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vaffzttavffv. Give prob of picking 4 f.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2. Suppose 0 = 2*w - 4*i - i - 2, 4 = 4*w - 5*i. Let y be (-21185)\/(-4275) + 8\/180. Sort y, -3, m, w in increasing order.\nAnswer: -3, m, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u**5\/5 - 22726*u**4\/5 - 6092*u**3 + 560572*u**2\/5 + 151550*u + 37890 = 0 for u.\nAnswer: -5, -1, -1\/3, 5, 3789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -100690 - 38353 - 13625. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 14\/5 - 48\/(-15). Suppose 0 = -2*f + z*x + 610, -f + 6*f = -5*x + 1500. Suppose 3*i + 3 = w - 83, 0 = -3*w - 2*i + f. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, 0, -8, -20, -36, -56?\n\"Answer: -2*g**2 + 2*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 61\/(-3)*(-30 - 0). Suppose 3*v - 5*v = -b. Suppose -3*a = 2*a - v. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002303484 rounded to four dps?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 60*i**4 + 125*i**3 - 395*i**2 + 250*i - 40 = 0.\nAnswer: -4, 1\/4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 12 = 84*r - 80*r, 4*p - 29 = -3*r. Solve p*b - 4*h + 16 = 8, -3*b + 4 = 2*h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1135, 2093, 3049, 4003?\n\"Answer: -j**2 + 961*j + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -303 + 307. Solve -2 = 3*b + u - 10, -g*u = 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3523)\/(-195) + -18)\/(8\/(-170)) and 6414\/(-252) - 2\/(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 21*m**2 + 12*m + 6. Give z(10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 11:03 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 8 = -3*p + 3*k, p - 2*k = 0. Suppose 0*y - p = -4*y. Is (-1644)\/(-28) - y\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2736) + sqrt(2736) + 2)**2 + 3 + -4*(sqrt(1539) + -1).\nAnswer: 60*sqrt(19) + 10960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**4\/12 - 2*j**2. Let r = -2 + 1. Calculate v(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54515749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**2 + 122*b - 84. Let l(x) = x**2 + 41*x - 26. Determine -13*l(p) + 4*o(p).\nAnswer: -p**2 - 45*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1885 + 1885.00024144. What is j rounded to 5 dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 188536 or 188537?\nAnswer: 188537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z - 9. Let i be ((-15)\/(-18 + 48))\/((-1)\/(-2)). Let a(q) = -q - 1. Give i*t(j) + 5*a(j).\nAnswer: -3*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*a = -6*f + 96*a - 351, -5*f + 274 = -8*a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*l + 1232 = v + 268*l, 5*v = 3*l + 6216. Is 54 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/4 - 2\/8. Let b be (-1*1*-4)\/m. Suppose 0 = -h + b*h - 10. Calculate the remainder when 19 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 194*j**2 + 11 + 4 + 3*j**3 + 198*j**2 - 397*j**2 in the form a*j + n*j**3 + d + i*j**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 times -1982?\nAnswer: -245768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 14*u**3 + 6*u**2 - 2*u + 1. Let j(n) = 44*n**3 + 19*n**2 - 7*n + 4. Calculate -10*a(w) + 3*j(w).\nAnswer: -8*w**3 - 3*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4569, -5848, -2\/5, 0 in increasing order.\nAnswer: -5848, -4569, -2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -37\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 342c16a + 4?\nAnswer: 342c171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/49, -0.0557, 1\/3, -9 in descending order.\nAnswer: 1\/3, 6\/49, -0.0557, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -21*b + 17*b. Suppose b*q - 115 - 23 = 0. What is the remainder when q is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 38 - 32 = 0. Let l(c) = c**2 + 7*c - 5. Let a be l(-10). Let z = a + b. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3200222 - 2013?\nAnswer: -3202301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 123*i - 1476. Let r be u(12). Solve 0 = -3*h - r + 6, -2*h = 5*l - 29 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54018 + 54018 + 17679*n + 4262*n as z*n + q and give z.\nAnswer: 21941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3645?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + u + 2*u)*(2952*u**2 - 1557*u**2 - 2*u**3 + 465*u**2).\nAnswer: 2*u**4 - 1860*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 950 = -24*m - 610 for m.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 478*o + 237. Let c(w) = 71*w. Give c(u(y)).\nAnswer: 33938*y + 16827","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (10\/6)\/((-8)\/(336\/(-35)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -803*l**2 - 13 + 50 + 824*l**2. Let t(f) = -21*f**2 - 37. Let w(r) = 2*i(r) + 3*t(r). What is the first derivative of w(u) wrt u?\nAnswer: -42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5757.423mg?\nAnswer: 5.757423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 312807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008807 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258610 is divided by 28727.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -239 bigger than -242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 76193*-4188\nAnswer: -319096284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 255104 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85*a**3*j**4 + 3*a**3*j + 4*a - j**4 wrt j.\nAnswer: -1020*a**3*j**2 - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 180*j + 3*j**2 - 180*j - j**3 + 0*j**3 + 0*j**3 - 5*j**3 + (-2*j**2 + 2 - 2)*(0*j + 4*j - j) in the form n*j + f + r*j**3 + v*j**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 948612*l**2*v**3 - 68*l**2*v + 6*l**2 - l*v**2 - 2*v**2 - 6*v wrt v?\nAnswer: 5691672*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15056 - -10716. What is k rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7113?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*f**2 + 0 - 2\/5*f**4 - 6\/5*f**3 + 0*f.\nAnswer: -2*f**2*(f + 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5417861.\nAnswer: 1997, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**3 + 10*s**2 - 15*s + 46. Determine g(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 26*u**2 - 361*u - 6760. Give c(-23).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1072.004311 rounded to 0 dps?\nAnswer: -1072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3828 by 64842.\nAnswer: 638\/10807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 14) to base 4.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -17, -19, 1, 4, -8 in descending order.\nAnswer: 4, 1, -1, -8, -17, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*s = -3*s + 2, 0 = 4*s + 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 132198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37365476 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g**3 + g + 4. Let s = 170 + -170. Let z(p) = -p**3 + s*p + 23 + 2*p - 10*p**3 - 14. Calculate -5*t(j) + 2*z(j).\nAnswer: 3*j**3 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 27652*w = 27654*w + 80, -16*w = 5*t + 582 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22*(-51)\/36465*10*(-6)\/12?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/4 of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 454521316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1203*l - 44. Let h be d(-6). Let x = h - 2085. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 4*o - 1. Let m be k(-3). Suppose 0 = -2*r - g + 35, 0*r + m*g = 3*r - 42. Suppose f - 11*f + 150 = 0. Which is smaller: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 8:20 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -n - 4*l, 0*l - 207 = -2*n - l. Calculate the greatest common factor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 17. Let q(y) = -y + 8. Let z be q(o). Solve z = n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -2. Let m = -86 + c. Let n = m + 286\/5. What is the smallest value in -3, 4, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/675 or 1?\nAnswer: 2\/675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 3*f**2 - 11. Let n(m) = -m - 1. Let h(i) = -6*n(i) + y(i). Let x be h(4). Solve 2*b + s = -3*s, -4*b - 5*s = x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 267 = x, 0*x + 4*j = 3*x - 841. Let w = -266 + x. Calculate the remainder when w is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 25 = 0, -3*q - 3*h + 19 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 + 16*i**2 - 3*i - 1. Let f(r) = -3*r**2 + 5*r + 2. Let o(p) = p**2 - 3*p - 1. Let z(l) = -f(l) - 2*o(l). Give j(c) + 3*z(c).\nAnswer: 2*c**3 + 19*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 197036.93 and 2?\nAnswer: 394073.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 18*z**2 + 21*z - 52. Let a be t(17). Let f = a + 148. What are the prime factors of f?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0. Let u be (-3 - 13\/(-4))*-2. What is the nearest to u in -4\/9, -2, k?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 - 811452810*s + 811452810*s.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6274 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 13\/2*r**2 - 9 - 3\/2*r + 7\/2*r**3 + 1\/2*r**4 = 0. What is r?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(-3*m - m + 3*m + (1 + 2 - 5)*(0 + m + 0) - 5*m - 4 + 4 - 5 + m + 5).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4428899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 4:37 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 j when four letters picked without replacement from ijzzujieziujviz?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/9*0\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7 - 29*h + 12 - 4 + 8*h. Let k = -4 - -5. What is g(k)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42968.1 kilometers in nanometers?\nAnswer: 42968100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9538 + 9699. Calculate the remainder when u is divided by 111.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28590.\nAnswer: 2, 3, 5, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/9 > 196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -405, -809, -1213?\nAnswer: -1617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1156477311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 40 = 23 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**2 + 5*q. Let a(k) = -4*k**2 - 3*k. Let x(o) = 5*a(o) + 3*r(o). Let t(i) = 15*i**2. Determine x(t(z)).\nAnswer: 225*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204 and 561?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*c - 7*c - 1 - 2 - c + 4 - 4 + (c + 3 - 3)*(4 - 3 - 2) + 3*c - 5*c + c.\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 162231817.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**2 - 7 - 9*v + v**2 - 6*v**2 + 2*v**2. Let h be u(-6). Suppose 3*q - 275 = -h. What is the greatest common factor of q and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = s - 0*s. Let j be s\/28*7\/2. Solve y + y = -j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from {w: 16, l: 4}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9366109 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(5) + 5)**2.\nAnswer: -4*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d*g**2 + 772*d*g - 4267025*d - 2*g**2 + 215*g wrt g.\nAnswer: -4*d*g + 772*d - 4*g + 215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -3. Let h = 13 - n. Let u = h + -8. Which is smaller: u or 3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387484501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 4. Let h = 51 - 43. Suppose -t*l = -h*l + 254. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25\/(1\/34*17) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 10*x**2 + 3*x - 10. Let d be o(-10). Let u = d + 61. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2438649 decades in months?\nAnswer: 29.263788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 34210, 34205, 34200, 34195?\n\"Answer: -5*r + 34215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 4276454*r - 59870748.\nAnswer: 2*(r - 14)*(r + 2138241)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -38.4561, -4\/5, 34?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448*q = 605*q + 314. Let n = 10 - 7. Let w = -7 + n. Which is the third smallest value? (a) q (b) -0.01 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -1 + -20 + -6 + 0.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g**3 + g + 5. Let w(m) = 4*m**3 + 3. Let o(i) = -3*u(i) + 5*w(i). Find the second derivative of o(a) wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27816?\nAnswer: 2, 3, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 - -51.9. Is i != -1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30708 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 5. Let d be 15\/10 + (-11)\/2. Determine r(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 0 - 14 = -3*n, -4 = -3*n + 5*w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y - 161 = -590 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -19.88.\nAnswer: -19.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*m + 104, -5*m = -4*z + 145 + 59. Let b = -47 - m. Let p be (-4)\/6 - 2\/b - -4. Solve 0 = 5*w - p*g + 9, 4*g - 2*g = -5*w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2. Let l(j) be the third derivative of -j**7\/5040 + j**5\/30 + 3*j**2. Let c(p) be the third derivative of l(p). What is c(w(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(2*r**3 + 0*r + 0*r) + r**3 - 2 + 2 + 79*r**3 - 527*r**2 + 527*r**2 - r**3 + 5*r**3 - 2*r**3.\nAnswer: 78*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.7542 to 1 decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -227 + 385. Suppose 5*u = f + 62. Is u bigger than 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1517*t - 764*t - 4*t**2 - 757*t to w*t**2 + d + m*t and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -212*i**3 - 8*i**2 - 354*i + 8. Let l(m) = 71*m**3 + 3*m**2 + 119*m - 3. Let p(z) = 3*h(z) + 8*l(z). What is the second derivative of p(j) wrt j?\nAnswer: -408*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 9*t**2 - 12*t - 4. Let p be i(9). Let a be (-8)\/14*p\/32. Suppose a*o + 2*o = 288. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o**3 - 2*o**2 - 38*o - 2. Let b(m) = -m**3 + m**2 - 11*m + 1. Give -2*b(k) - u(k).\nAnswer: 9*k**3 + 60*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-2 - 5) - ((-19 - 0) + -5).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 63 = -15*u, 5*u + 120 = 4*f + 71 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 364038\nAnswer: 2\/182019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - 0.3. Which is the smallest value? (a) -0.8 (b) i (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 7.3, 5, 2 in ascending order.\nAnswer: -9, 2, 5, 7.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43099 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2 - 12*d + 13. Let j be g(4). Suppose 0 = j*h + 202 - 695. What is the greatest common divisor of h and 306?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -168393, -168602, -168811, -169020, -169229?\n\"Answer: -209*b - 168184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.0331, 1\/5, 3\/11?\nAnswer: -0.0331","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - -5. Suppose -32 = n + n - 3*b, 4*n - 5*b + 60 = 0. Let w = d + n. What is the highest common factor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**25*r*r*r**40\/r*r*r\/((r\/r**(-14))\/r)*r*r**13)**25 assuming r is positive.\nAnswer: r**1700","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51377 + 91181. What are the prime factors of v?\nAnswer: 2, 3, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(-34)\/(s**(1\/5))**(-35))**(-34) assuming s is positive.\nAnswer: s**(-238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*h + 13630 = -19391, 11000 = l - 4*h. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/10 - (-56)\/20. Suppose -x*g + 2*g + 59 = -5*l, 3*l + 4*g = -40. Let n(w) = 2*w**2 + 12*w - 17. Is n(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 365 and 366 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t - 5*t + 3*t)*(0*t + 0*t - 2*t) - t**2 + 0 + 0 - t**2 - 4*t**2 + 3*t**2 + (160*t + 15*t - 38*t)*(-5*t + 3*t + 6*t) to q*t**2 + o*t + h and give q.\nAnswer: 543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, w: 13}. What is prob of sequence fww?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*w = -87 - 15 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*c, -t - 4*t + 5*c - 45 = 0. Let i = 54 - t. Let h = i - 39. What is the smallest common multiple of 2 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -416 divided by 32?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3) + (-14)\/15. Suppose 9 = -11*o + 8*o, -5*o - 14 = -b. Which is bigger: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) 0 (c) 16 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p**2 + 7*p + 10. Is b(-2) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 12) to base 16.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + 13. What is the greatest common divisor of c and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-6\/13)))\/l**(-2\/7))**(-10) assuming l is positive.\nAnswer: l**(160\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5811*a**5\/7 + 278940*a**4\/7 - 2383086*a**3\/7 - 23843424*a**2\/7 - 21131847*a\/7 + 43740\/7 = 0. Calculate a.\nAnswer: -5, -1, 4\/1937, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 11:20 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**4*s + 4*q**4 + 219937*q**3 - 12*q**2*s - 2090*q**2 + 8*s + 98 wrt q.\nAnswer: -24*q*s + 96*q + 1319622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 657187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -44\/735*w**7 - 2\/21*w**4 - 4\/21*w**5 - 11\/70*w**6 - 24*w**2 + 0*w**3 - 5\/588*w**8 + 0 + 0*w. Suppose x(r) = 0. Calculate r.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1055808 divided by -175968?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(1\/(-4))*1. Let s = -29 + 42. Let i = 16 - s. Solve i*k = -k + u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/(-4)*76\/(-190). Solve 0 = -7*d + 6*d + b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*f**3 - 3*f + 171?\nAnswer: -42*f**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5174, -10355, -15530, -20699, -25862, -31019, -36170?\n\"Answer: 3*i**2 - 5190*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1538 times -0.36?\nAnswer: 553.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from bbbwbbbrwbbrrwbbrwr?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5476*q. Let s(k) = k + 32. Give s(j(z)).\nAnswer: 5476*z + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 n, and 1 j when four letters picked without replacement from {j: 4, d: 1, n: 9}.\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 299994.\nAnswer: 1499970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2\/3, -0.2, -0.4, 2 in ascending order.\nAnswer: -2\/3, -0.4, -1\/4, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*s - 9. Suppose -s*g - 2*m = -350, 3*g = 2*m + 190 + 180. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 10*h**3 + h**2 - h. Let x be v(1). Let t be (16\/2)\/(x\/205). Let y = -85 + t. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*n**2 + 570*n**2 - 288*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7015 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*t = 485*t + 898*t + 11552 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 79 (c) -2\/9 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21694052 is divided by 104?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1443 or -5\/443?\nAnswer: 1443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2 + 18\/4. Suppose x*k + 0*k - 4 = -4*r, 3*r + 2*k + 2 = 0. Let l be (-2 - -4)\/(1*2). Put -3, r, l in decreasing order.\nAnswer: l, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1560)\/108 - (-52)\/117)*(0 - 2).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 9 = 3*g, -5*i + g - 36 + 39 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 - 62. Let d be -1*(5 - j - 3). Solve u - d = -2*t - 3, 5*u - 15 = 3*t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 4:06 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuzyzyyyuyy. What is prob of picking 1 y and 1 u?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/96 and -99\/3584?\nAnswer: 10752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 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: Is 3735851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 28. What is the closest to -1 in -0.1, v, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 99, 4, 1\/5, 0.16, 11\/2, 0 in increasing order.\nAnswer: 0, 0.16, 1\/5, 4, 5, 11\/2, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4059726?\nAnswer: 2, 3, 11, 61511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 888\/7? (a) 69 (b) -1\/6 (c) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14747396 is divided by 2212?\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q - 93 = 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1\/(-8)*-4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/11 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*c + 51*c + 3055 = -45*c - 10805 for c.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 342003 (base 5) to base 16\nAnswer: 2f60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1954468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence laxl when four letters picked without replacement from xfjaxlxfxxkfjlx?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(21)\/sqrt(3)) - (sqrt(13) - (3 + 0 + sqrt(13))).\nAnswer: 3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*h + 111, -4*h - 97 - 266 = -3*c. Suppose -8*s = -4*s - 60. What is the remainder when c is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 35 - 6?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-6)*34*-69999. Let y = -216651 - a. Suppose q = -2, -3*x - 2*x + y = -5*q. What is x rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196, 862, 2022, 3700, 5920, 8706?\nAnswer: 12082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4925 and 11?\nAnswer: 54175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 4*x**2 + 5*x. Let a = -1 + -4. Let h be u(a). Suppose -318*v + 312*v = 0. Solve v*p + 3*p = h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13720340, 13720342, 13720344, 13720346?\n\"Answer: 2*t + 13720338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211 (base 3) in base 15?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 140517514817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 51. Suppose h = 3*j - 13. Let p(s) = s**3 + 9*s**2 + 17*s - 11. Calculate the lowest common multiple of p(-5) and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3623, -7184, -10681, -14114, -17483?\nAnswer: -20788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 523 + -528. Which is the second smallest value? (a) u (b) 0.5 (c) 2 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16879700.\nAnswer: 2, 5, 23, 41, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - l**2 - 7*l + 12. Let n(r) = -2*r + 3. Let i(k) = 9*n(k) - 2*p(k). Let m be i(2). Let s = m - -38. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107\/12 + -26\/3. Factor -1\/2 + 3\/4*h - a*h**2.\nAnswer: -(h - 2)*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 69 = -4*y. Let w = 0.45 + 12.55. What is the nearest to y in w, 0.3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*j - 28*j - 3. Suppose j*n - 4 - 20 = 0. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 41*t + 107. Give w(38).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-8)*(-2)\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4175803 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 14 = -3*h - 2*d, 3*d - 16 = -2*h. Suppose 0 = -2*p + 5*o - 19, 11 + 2 = -4*p + h*o. What are the prime factors of 0 + 3 - (-3)\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/10*1\/((-279)\/155)*-3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000529008 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 6*i**3 - 361*i**4 - 323*i**4 - 6*i**3 - i + 659*i**4 + 1 as q*i**3 + h + y*i**4 + t*i + m*i**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2. Let s(q) = 163*q**2 - 2*q + 2*q - 167*q**2. Calculate s(o(w)).\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 - 55. Suppose -13*y + g*y = -3. Suppose 5*h = 7*h - l - 57, y*l - 37 = -2*h. Calculate the highest common divisor of 208 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51894 and 3844?\nAnswer: 103788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573*w - 464*w + 312*w.\nAnswer: -725*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 2*t**2 - 4*t. Let z be j(3). Let v(x) = -2*x - 2. Let w be v(z). What are the prime factors of -1 - 4\/(w\/(-13))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.28 and -35.85.\nAnswer: 10.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x**(-3\/8)\/x))*x**(3\/14)\/x)**11)**(-15) assuming x is positive.\nAnswer: x**(10725\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-19 + 27)) + -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 291 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/32 - 19\/(-4). Find the second derivative of k - 2*k + 3*k + k**5 - f*k**5 wrt k.\nAnswer: -60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*-2*1*4 + -2*sqrt(275)*6 + 6*(sqrt(275) + 0))**2 + 4.\nAnswer: 53904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + s + 6 - 1)*(-7*s + s + s) in the form c + l*s + g*s**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106412474.\nAnswer: 2, 7, 83, 91577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/115 and 47\/23.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 11:15 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-6 - 4) + 10\/4. Factor -171*b**2 + 315*b**j - 5*b**3 - 7*b - 157*b**2 + b**4.\nAnswer: b*(b - 7)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9772819 divided by -9772819.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(68)*-1)**2 - (1 + sqrt(68)\/sqrt(4) + -4).\nAnswer: -sqrt(17) + 2451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -195*i - 41*i - 112*i + 696 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 401234, 2, -3 in increasing order.\nAnswer: -3, 2, 401234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/4 + -1)*-4. Suppose -7*k = 6*k + 4*k. Suppose k = w*i - 169 - 38. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -40259577.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2179.99990055 + 2180. What is a rounded to six decimal places?\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6893718.71 rounded to the nearest 100?\nAnswer: 6893700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**6\/180 + k**5\/40 + k**4\/24 + k**3\/3 + 2*k. Let d(s) be the second derivative of p(s). Is d(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4046, 5276, 6760, 8624, 10994, 13996, 17756?\nAnswer: 22400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by -14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -2\/3 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4890 = -5*m - 0*m, 0 = -4*m - p + 3915. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1 + 3 + 8*f - f**2 - 10. Suppose 5*b + 3 = 5*g - 12, 2*g - 4*b = 2. List the prime factors of j(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 3*c**2 - c. Suppose -3*f - 6 = -0, 0 = -4*l + 2*f + 4. Suppose -7*s + 3*s + 204 = l. Calculate the remainder when s is divided by x(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssy when three letters picked without replacement from yssssysss?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(21)\/((sqrt(36)\/sqrt(2))\/sqrt(6)))**2.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13451\/6 + 2231. What is the common denominator of 137\/108 and x?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 17*v + 25 = m, -15 = -5*v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5231 - 4?\nAnswer: -5235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 2*f**3 + 1 - 5*f**2 + 2*f**2)*(-3 + 2*f + 3).\nAnswer: -4*f**4 - 2*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*l**3 + 14*l**2 + 40*l**3 + 237 - 11*l**2.\nAnswer: 79*l**3 + 3*l**2 + 237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10 - 0\/(-2) - 0. Let m be ((-1)\/5)\/(4\/k). Let y = 22891.6 - 22892. Which is the nearest to 0? (a) m (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15160)\/(-520) + 94 + 2\/(-13).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 638.99 - -11.01. Let f = a + -650.00001084. What is f rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/8 of a week in hours?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from cllcc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a second in milliseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67687 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 + 77. Let h + 0*d - 2\/3*d**2 - 2*d**3 - 2\/3*d**5 - 2*d**4 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 212254, 848893, 1909958, 3395449, 5305366, 7639709?\n\"Answer: 212213*y**2 + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 3*h - 32 = 0, -5*t - h - 62 + 48 = -35 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6937, -27935, -62921, -111889, -174833, -251747, -342625?\nAnswer: -447461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.8, 2\/57, -5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750565 is divided by 818.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*3\/60*-4?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40966 at most as big as 40963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 + 4*m**2 + m + 4. Let p be i(4). Let k be (-2)\/(-7) + (-152)\/p. Sort 4, k, -4.\nAnswer: -4, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4))\/(-2 - (-18)\/8). Let j be (9 - 9)*u\/4. Suppose 3*m + 0*m + 96 = z, j = -5*z + 2*m + 441. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 65*h**2 + 220*h + 160.\nAnswer: 5*(h + 1)*(h + 4)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492 = -2*y + 2*z, 4*y + 2*z - 4*z = -990. Is (-6)\/(-7 + 4) - y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, 4, 42, 118, 244, 432?\n\"Answer: 2*q**3 + q**2 - 5*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**7\/1050 - n**6\/150 + n**5\/100 + n**4\/30 - 2*n**3\/15 + 2*n**2. Solve a(w) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1516 divided by -66195\nAnswer: 1516\/66195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = 8*u + 167. Suppose 3*c = 4*d - 2089, c + 2625 = -3*d + u*d. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (152\/684 - (-2753)\/(-441)) + (-12)\/72*-36\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3026060 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 380 - 378. Suppose -5*d = -43 + 13. Calculate the common denominator of 2 - d\/(-27)*93 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006895104 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + -3)*-5*-2)**2.\nAnswer: -2400*sqrt(13) + 21700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 92237.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.9 + -13.25. Let o = 3.4 + c. Let m(d) = -d - 1. Let f be m(-2). What is the second smallest value in o, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31910592?\nAnswer: 2, 3, 7, 23743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -187 - -187.97. Let a = r + -1. Let i = 0.03 - a. What is the second smallest value in i, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4*d**5 + 188*d**4 + 160*d**3 - 1120*d**2 - 704*d + 1472 = 0?\nAnswer: -46, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443566 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -5*x**5 + 35*x**4 + 35*x**3 - 275*x**2 + 210*x = 0.\nAnswer: -3, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 8:10 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/7)\/h**6)\/((h**3\/h)\/(h*h**(2\/9))) assuming h is positive.\nAnswer: h**(-391\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - -1)*(-1 - -2). Let v(u) = 54*u - 809. Let n be v(15). Let r(z) = -o*z + n + 5*z + 3*z + 0. Calculate r(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4 + 26. What is the greatest common divisor of g and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 8:27 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46 * 0.5.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 58*s**2 - 438*s + 136. Let w be v(-49). Let h be 6\/8*(-1)\/(-3). Which is the closest to h? (a) 1\/6 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/((-275)\/(-30))*25\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/28 and 115\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*u**2 - 32*u**2 + 5*u**3 + 62*u**2.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3\/4, 47669818, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m. Let t(l) = -117*l**2 - l + 11. Let z(g) be the second derivative of -2*g**4 + g**2 + 173*g. Let k(h) = -2*t(h) + 11*z(h). Give x(k(y)).\nAnswer: 150*y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -159, -319, -587, -963?\n\"Answer: -54*w**2 + 2*w - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**6\/720 - 7*z**5\/60 - z**4\/2 + 19*z. Let r(w) be the third derivative of k(w). Determine r(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-112) + (-7098)\/196. Let d = -0.3 + 0.4. Which is bigger: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/85*80\/88. Let f = -1 - -1.1. Which is the nearest to -3? (a) f (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 532, 512, 452, 334, 140, -148, -548?\nAnswer: -1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288\/(-26) + (-25)\/20 + (-2139)\/(-1612).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 0*c - 5\/3*c**3 - 8*c**2 + 0 - 1\/24*c**4. What is r(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 + -35. Let n be ((-36)\/21)\/((-2)\/t). Let v = n + -18. What is the remainder when 22 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - (-533)\/164.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 298 and -1.7022?\nAnswer: -507.2556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11309\/35768 + (2\/(-4))\/((-20)\/(-15)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, -4, -893725?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1176 = 12*n - 4*n. Let u = -237 - n. Let k = u - -145. What are the prime factors of k?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 3*r - 7*r)*(4 + 2*r**4 - 4) - 4*r**5 - 3 + 3 + 0*r**5 + 0*r**5 - 2*r**5.\nAnswer: -12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 34, -1, 4 in ascending order.\nAnswer: -1, 4, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/30 + -1 - 96\/(-270).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1758.387 months in years?\nAnswer: 146.53225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h. Let t be s(2). Is t at most as big as 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26467 greater than or equal to 6632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -657, -935, -1367, -1935, -2621?\n\"Answer: 3*g**3 - 95*g**2 - 14*g - 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 251327 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 2740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.09 (b) 2\/5 (c) 672\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 81*t**2 + 86*t + 331. Give n(-82).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*c + 793, 10*c = -4*d + 6*c + 620. Suppose -2*g + 7 = 4*j - d, g = 5*j - 212. What is the remainder when 123 is divided by j?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546367 > 1546366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 1. Let r(i) = i + 2. Let n = -62 + 64. Suppose n = -4*s - 10. What is s*y(f) + r(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*r + 3. Suppose 4*x - 74 = 2*p + 26, 191 = -r*p + 5*x. Let j be 2\/(-3) + p\/(-12). Solve -16 = -d - j*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3867 and 36.\nAnswer: 46404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 22. Let q(c) = -2*c + 21. Let o(x) = 4*g(x) - 5*q(x). Suppose -4*p = -5*d, -53*d + 52*d + 14 = 2*p. Is 13 a factor of o(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13392 = 85*n - 79*n. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**2 - 3*c**3 + 0*c**3 + 0*c**3 + 16*c**3 as l + k*c + n*c**2 + y*c**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 457491514*o**5 + 68717899*o?\nAnswer: 9149830280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.808 take away -21151.6?\nAnswer: 21149.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -45, -81, -131, -195?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-346)\/(-10) - (24\/(-64))\/(1260\/1344). Suppose -42 = -0*p - 2*p. Calculate the highest common factor of p and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45472116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41466416 to the nearest integer?\nAnswer: 6439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yaa when three letters picked without replacement from ayayaayyyy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-4)*(4 + 0). Suppose -34 = -i*p + 35. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*-5*-8*5*15\/((-18000)\/96)\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -688016.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26182 + 17?\nAnswer: -26164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.4 - -46.1. Let k = -1.1 - 20.9. Let l = k + b. Put 0.4, -0.4, l in decreasing order.\nAnswer: 0.4, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 38\/18*1*6. Let h = -424\/33 + t. Is -1 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6483262 to the power of 1\/3, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 418, 823, 1230, 1645, 2074, 2523, 2998?\nAnswer: 3505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 8*o + 5. Let s be x(8). Let p(n) = -n**3 - s*n**2 - 1 - 2*n + 2*n**3 + 6 + 1. Give p(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/13311195 or -3?\nAnswer: -2\/13311195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*u**4 + 772*u**3 - 49*u**2 - 2*u + 1587859 wrt u?\nAnswer: 8*u**3 + 2316*u**2 - 98*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2*472\/(-708))\/(2\/50).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27*n**3 + 5*n**2 - 7*n - 5395 wrt n?\nAnswer: -81*n**2 + 10*n - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 390433, 390423, 390415, 390409, 390405, 390403?\nAnswer: 390403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 57 = -105. Let j = p - 11. Let h(s) = 14*s - 10*s - j*s. Let u(l) = 4*l**2. Give u(h(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -219 - -222. Put -8, 1, i in decreasing order.\nAnswer: i, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17.46796 hours?\nAnswer: 62884.656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*2\/3*9\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duumudnmudmmdme. What is prob of picking 1 d, 1 e, 1 m, and 1 n?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/6 - -5\/12. What is the nearest to 0.4 in 2, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 25 = -12*m + 5*t, -2*m = -3*t - 10. Sort 1, m, 0, -39 in descending order.\nAnswer: m, 1, 0, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 77 = 81*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 199\/15880 - 5\/1191. Let f(d) be the third derivative of 1\/2*d**3 + 0*d - z*d**5 + 0 - d**2 + 1\/48*d**4. Solve f(c) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*b + b**2 + 270*b - 140*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/197052 and -5\/10204?\nAnswer: 502679652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 110 + -14713?\nAnswer: -14603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2950 + -2946. What is the fourth smallest value in 1\/3, 0.4, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-41)*11*9\/990.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4393 - 4393 - v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-13)*q*q\/(q*q*(q*q\/q**(1\/3))\/q))\/(q\/((q\/(q**(-2\/7)\/q))\/q)*q)**41 assuming q is positive.\nAnswer: q**(-902\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1846861 or 1846860?\nAnswer: 1846861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -131, -218, -329, -458?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 = -10. Let n = 37 + -23. Let l = -14 + n. Sort l, 2, h in ascending order.\nAnswer: h, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4809029\/249984 + 4160\/217. What is the common denominator of d and -97\/18?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = d - 4*f - 54, 64 = 2*d - 5*f. Suppose m + m = d. Let z = -5 + m. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-168)*(-28)\/(-64)*6\/2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 201*g + 5. Let c(i) = 1. Calculate -4*c(s) + q(s).\nAnswer: 201*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31185.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 14) + (-13 - -9 - 2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**2 + 131*i + 335. Give r(38).\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 11.9. Let g = 5.2 - 5. Let u = 15 + -14.9. What is the third biggest value in u, d, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 39, 51, 63, 75, 87?\n\"Answer: 12*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9439 - 9438. Let b(x) = x**3. Let t(c) = -4*c**3 + c**2. What is m*t(v) + 6*b(v)?\nAnswer: 2*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -23*m + 227. Let c(n) = -8*n + 76. Determine -17*c(v) + 6*h(v).\nAnswer: -2*v + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 129\/4. Put p, -0.5, 0.2, -0.4 in ascending order.\nAnswer: -0.5, -0.4, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005981859 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -583 equal to -583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*k + 9, -k = -3*a + 15. Suppose 3*b + 1802 = 6*b - 2*l, -3*b + 1796 = a*l. Suppose -11*u + u = -b. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.69898819 and 0.1?\nAnswer: 0.069898819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*n + 69. Solve -31 = -n*g + 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000038406 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2.7. Put -1\/2, -2, b in descending order.\nAnswer: b, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-29\/4)*k*k\/k**(-26))\/(k**(-6)\/k*k)**(5\/2) assuming k is positive.\nAnswer: k**(143\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + i**2 - i - 2. What is y(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -1041322?\nAnswer: 1041315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/60*-5)\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 954 + -949. Solve u*z = 14*z - 45 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 4\/3, 0.06, 1963 in ascending order.\nAnswer: -2\/5, 0.06, 4\/3, 1963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51922207 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9062764.\nAnswer: 2, 103, 21997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 521453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2. Let v(d) be the third derivative of 2\/15*d**5 + 13*d**2 + 0 + 0*d**4 + 0*d**3 + 0*d. Give v(j(p)).\nAnswer: 72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/1 - (-9)\/(-3). Let x = 5 + m. Let t(k) = 2*k**3 + k**2 - 2*k + 54. What is the remainder when t(0) is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 231\/148 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 497?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 109 - 59 = 0. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -0.1, 9343, 0, 1, -1\/3?\nAnswer: 9343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -2*m**2 + 3*m - 24. Let r be s(0). What is the third biggest value in r, -2\/5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8)*8\/(-23). Let r = -17.8 - -18. What is the closest to r in -4, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*v - 3. Is (-21)\/(v + (-6)\/(-4)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*j + 2*j = 580, -j + 1441 = 5*s. Let h be 6\/(-51) + s\/136. Let d be ((-6)\/(-15))\/(84\/40 + -2). Which is greater: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -2*n + 3*r, r + 99 = 3*n + 6*r. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1664 and 2909504?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29189757*z**5 - 3*z**2 + z - 100466 wrt z.\nAnswer: -1751385420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w**2 + 18*w - 22. Let q be z(-3). Solve -9*a + 16 = -q*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 375 and 263895?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 54 - 92 = -24*h. Solve 3*j - h*x + 16 = 0, -3*x + 12 = -3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*41\nAnswer: 4.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 60*u**2 + 136*u.\nAnswer: -4*u*(u - 17)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 8:03 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 10:25 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*d + 2873 = -48*d + 665 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -11*a**8\/28 - a**4\/4 + 26*a. What is the third derivative of h(t) wrt t?\nAnswer: -2640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -926*c - 20 = -930*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1301606662.\nAnswer: 2, 23, 3533, 8009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001433 rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (28\/20*2)\/((-12)\/((-6960)\/(-29)))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2152298, -8609218, -19370760, -34436924?\n\"Answer: -2152311*y**2 + 13*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 158322 (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**2 - 394*x - 7287. Calculate v(94).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 40, 129, 306, 601, 1044, 1665, 2494?\nAnswer: 3561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 + 3*o**2 - 5*o**2 + (-777 + 10*o + 777)*(o + 5*o - 4*o))*((-1 + 0 + 2)*(-2 + 6 - 2) + 7 - 3 - 3).\nAnswer: 66*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8332 - -8337.157. Let w = -5.4 + 0.2. Let j = w + r. What is j rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 14 + 3 = 3*s, -5*s + 11 = 4*f. Let m be (-3)\/(((-30)\/f)\/(-5)). Let v(n) = n**2 - 5*n. Let g be v(5). Do m and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -336, -675, -1018, -1365, -1716, -2071?\nAnswer: -2430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 7*y**2 + 9*y + 12. Let o be i(-8). Suppose 503*g + 12 = 504*g. Calculate the smallest common multiple of g and 4\/(-7)*(-14)\/o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*x**3*z - 240651435*x**3 - x**2*z - 3266750*x*z + 2*z wrt z.\nAnswer: 2*x**3 - x**2 - 3266750*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, x: 3}. What is prob of picking 1 n and 1 x?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 1, r: 1, h: 1, a: 1, s: 2}. Give prob of picking 1 r and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32449 and 2997.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1307 = 3*y, 0 = 3*y - 4*u + 313 - 1608. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**3 - y**3 - 3*y**3)*(y**2 - y**2 - y**2) - 17*y**3 + 7*y**5 + 2*y**3 - 9*y**5.\nAnswer: -3*y**5 - 15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 0*l + 4*l + 22*l**2.\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjukkujujkjjuuuuk. Give prob of sequence juk.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 - 63. Suppose a - 10*m + 9*m + 10 = z, 0 = -3*m + 12. Which is smaller: -55\/9 or a?\nAnswer: -55\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -218 (base 13) in base 4?\nAnswer: -11213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14\/65 - 1\/65. Let u = 3\/10 + k. Determine w so that -1\/2*w**2 + 0*w + u = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 10*p**2 - 3*p + 12. Let k = 110 - 119. What is the tens digit of l(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 - 66 - 128 + 13*k**2.\nAnswer: 8*k**2 - 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2196 and 24?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 12*a + 9. Calculate d(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) -203 (c) 0.4 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 36*o**5\/5 - o**4\/2 - 2269*o + 2379. What is the derivative of r(y) wrt y?\nAnswer: 144*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10229205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d**2 - 4*d - 3. Let p(v) = -17*v**2 - 11*v - 8. Let m be (-30)\/(-3) + (10 - 16). Determine m*p(u) - 11*l(u).\nAnswer: -2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 325, 324, 323, 322, 321?\n\"Answer: -t + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 93 = 3*c, 3*c = -y + c + 64. Let f = -51 + y. Solve -f*u = 5*g - 34, -4*u = -9*u + 3*g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {a: 1, p: 1, m: 1, c: 1, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108.3 - 108. What is the closest to 0 in u, -14\/9, 3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -2\/21, -8?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + sqrt(5) - (-4 + sqrt(45)).\nAnswer: -2*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000021595 rounded to seven dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1691083 and -2.3.\nAnswer: -1691085.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*b + 5*b = 7, 5*i = -b + 9. Put -9, -5, i in decreasing order.\nAnswer: i, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 939 = -3*a. Let v = a + 853. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + -336?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 0*h = -56. Let i = 194 + -294. Let x be 12\/(-10)*i\/8. Solve j - x = -h*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 890456 + -104381.\nAnswer: 786075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1983 is divided by 1978.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 280 by -20.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 32*o + 224. Determine w(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 3)*(-2)\/28. Let p = 0.06 - -0.14. Put w, p, -0.2 in ascending order.\nAnswer: -0.2, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/15 in -3, 12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/(-60)*(-10)\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -2*h**7\/7 + 21*h**6\/10 - 111*h**5\/20 + 6*h**4 - 2*h**3 - 9*h. Let k(s) = 0. Calculate s.\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q + 8. Let x(b) be the third derivative of -5*b**4\/4 + b**3\/6 - 8*b**2. Is x(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4126*i + 16501. Give f(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**4\/24 + 3*w**2 + 4. Let q(m) = -3*m**2. Calculate q(f(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1929, -7376, -16451, -29154, -45485?\nAnswer: -65444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/6)\/((-2)\/(-12)). Let l = 13 - z. Suppose j - 10 - 2 = 0. Calculate the remainder when l is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2623*r - 86229 = -12209*r + 655371 for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**5\/10 + 15*r**2 + 1. Let b(a) = -13*a. Give j(b(s)).\nAnswer: -1014*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69433 is divided by 34664?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 35*u**2 + 83*u - 302. Let p(k) = -2*k. What is i(p(s))?\nAnswer: 140*s**2 - 166*s - 302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-54)*(-2 + 5))\/(28\/21). Which is the closest to j? (a) 2 (b) -334 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88087.497 - 88027. Let h = -0.197 + j. Let q = 60.553 - h. What is q rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122473891 a multiple of 491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1917193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -269, -539, -807, -1073, -1337?\nAnswer: -1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 14 = -4. Suppose d*q + q - 3000 = 0. Suppose -2*v - 2*j + q = 2*j, 0 = -2*j. What is v rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21435 = 4*f + 2*w - 79399, -3*f = 3*w - 75627. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136 - (170 - 33) - (-1 + -3 - (0 - -1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-252)\/(-49))\/(18\/84). Let o be l*(-12)\/54*78\/(-4). Which is the nearest to 1? (a) o (b) 3\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*-2*-3)\/(((sqrt(110) - 2*sqrt(110)*-1) + sqrt(110) - sqrt(110))\/sqrt(11)).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-28)\/16)*12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*v = 24*v - 32673763. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 8 = 3*a. Suppose -a*j = j. Let f(l) = l**3 + l**2 - l + 21. Is f(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-11) - (-13)\/(-572) and -7\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1677 + 1714. Calculate the common denominator of r and 464\/570 + 2\/(-10).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1.3. Which is the third smallest value? (a) r (b) 0 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + -1 - 3\/1. Suppose -18*i + 52 = -17*i. Let p = 56 - i. Sort -4, c, p in ascending order.\nAnswer: c, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2331 + 1?\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 1116*b\/5 - 21449\/5.\nAnswer: (b - 241)*(5*b + 89)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 850240 and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/1092)\/(12\/14)*-3.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/88 + (-84)\/(-154). Let l be 3\/5 - 36\/10. Let x = 4 + l. Is x > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25568 and 52711628.\nAnswer: 3196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3200) + (sqrt(3200) + 2)*-4 - (((sqrt(1568) + 2*sqrt(1568) - sqrt(1568)) + sqrt(32))**2 + -1*sqrt(32)*4)).\nAnswer: -7203 - 104*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29253\/(-126763)*3\/(18\/(-260))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -3. Let f = 0.3 + -0.36. Let d = f - 0.34. What is the biggest value in b, 2\/19, d?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + -3.3. Let h = -1 + 0. Let l = -43\/3 - -15. What is the nearest to l in v, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49661 - -546285\/11. What is the third biggest value in 3\/4, r, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13d7 - -c6a?\nAnswer: -56b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59475 or -1?\nAnswer: -59475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6490 divided by 118?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4364122?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -130453070 to the nearest 1000000.\nAnswer: -130000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = n - 0. Suppose n*r + 5 = 7*r. Solve -3*m - r = -13 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 2376756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/172, 2\/11, 62?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r - 56 = 0. Find the common denominator of (93\/7)\/(20\/r) and 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 0, 12, 20, 24, 24?\n\"Answer: -2*d**2 + 18*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 + 126 + (2 + -31 - -9) + (-2 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, m: 3, c: 3, n: 3, d: 2, q: 5}. What is prob of picking 1 q, 1 n, and 2 h?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (1 - 5) + -1186 + 1191. Is z < 1049.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -111 + 111 - 159*o**2 - 51*o**2 as n*o + v*o**2 + u and give v.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110000100110 (base 2) in base 16?\nAnswer: -1c26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s - 3*s + 28584. Let q = -1123 + s. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*v = -1349, 4*v - 2*v + 451 = z. Let w = z - 285. What are the prime factors of w?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 8. Suppose 0 = -y*v, 3*v + 80 = 5*n + 2*v. Solve -2*s = 2*s - n, 3*s - 32 = 4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 863*i = 93*i + 18*i - 467*i + 53636 for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10320 divided by 655.\nAnswer: 2064\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4c + -77?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212235013?\nAnswer: 1061, 200033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/1 + (-162)\/18. Sort n, 14, -4 in decreasing order.\nAnswer: 14, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2532, 162, -5, -1, 5 in descending order.\nAnswer: 2532, 162, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2456 (base 16) to base 3\nAnswer: -110202112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*g - 31 + g**3 + 64*g - 136*g as i*g**3 + m*g + y + s*g**2 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/9949744 and -97\/392.\nAnswer: 9949744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5537754 is divided by 119.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3504 + -2591. Calculate the highest common divisor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29764343 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2640)\/78 + (-2)\/13 + -2. Is 32 a factor of (z\/(-6))\/((-3)\/(-64))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbbzzbzz. What is prob of sequence bb?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.31558, -2\/5, 2, -3, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.1 + -1.1. Let d = 1 + h. Which is the nearest to 1? (a) d (b) -0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2611025425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-38)*-2*-2. Let v(u) = -u**2 - 10*u. Let g be v(-10). Let i = 6.2 - 1.2. What is the second biggest value in n, i, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 56*k**2 - 3. Let y(z) = -z**2. Determine y(s(o)).\nAnswer: -3136*o**4 + 336*o**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -34 - -3 - -41 - -3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -65, -261, -589, -1049, -1641?\n\"Answer: -66*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 122831230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + -35. Let c be -2*h*(-1 - 3\/(-2)). Let l(v) = -v**3 - 7*v**2 + 4*v. Calculate the remainder when l(c) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3067 - 2896 + s - 2813 + 11358 - 3034.\nAnswer: s - 452","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21224891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(3)*4)*1 + (sqrt(3) + -2)*-2*-2.\nAnswer: -8 + 17*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - q**2 - 11*q + 6. Give j(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 3. Let r = 6 - 1. Calculate the lowest common multiple of 6\/15 + (-36)\/(-10) and c(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 199 - 220. Let b = -336 - -331. What is the second biggest value in 1, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 948 = y - 103, 524 = 2*u + 2*y. Let j = 263 - u. Let w be 4\/2 + 9*2. Solve -5*s = 5*k - w, j = k + k - 2*s - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 139*o**5 + 507*o**5 + 142*o**5 + (o + 0 + 0)*(-3*o**4 + 2*o**4 + 3*o**4).\nAnswer: 790*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*x + 8535 + 803. Is x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 115899.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110*c - 109*c + 51*c**5 + 3 + 11 wrt c?\nAnswer: 1020*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/13 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 35 + 12 = 0. Let k = -42 + x. Solve k*o = -4*i - 18, -4*i - 3*o - 4 = -5*o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3956205*t**2 + 49763*t + 16 wrt t.\nAnswer: 7912410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*x**3 + 19*x**2 - 7145*x?\nAnswer: 234*x + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/19 - 4970*h\/19 - 137592\/19 = 0.\nAnswer: -2457, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 191 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*z**3 - 157*z**3 + 135*z**3 + 175*z**3.\nAnswer: 319*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 + 8*g**4 + 21*g + 1605*g**3 - 1569*g**3 - 6*g**4 as c*g + m*g**2 + a*g**3 + v*g**4 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1556.7997 + 1557. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000182791 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 108151780 to the power of 1\/4, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 72, 67?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3557 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2790, -2658, -2524, -2388, -2250?\n\"Answer: a**2 + 129*a - 2920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*s + 8. Let p be ((-2)\/4)\/(s\/(-18)). Suppose -p*g - 3*o + 15 = 0, 0*g + 3*g + 5*o = 19. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from errerrrrereeeeerre. Give prob of picking 1 r and 2 e.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/10)\/(4\/10). Suppose -t - b*v = -19, 3*t - 5*v - 8 = 16. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/243 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/48)\/((4\/2)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*k**2\/11 + 534543*k\/11 - 4111100\/11.\nAnswer: -(k - 41111)*(13*k - 100)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -69.54, -8, -256.9?\nAnswer: -256.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 12:43 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**5\/10 + d**4\/3 + d**3\/3 - 2*d**2 + 7*d. Suppose z(w) = 0. Calculate w.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24562762.44719 + 0.2.\nAnswer: -24562762.24719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 660*l**2 + 2*l - 883.\nAnswer: 1320*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -11, -2\/7, 4\/3, 23, 4\/7, 1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 6:16 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 135 = 259*f - 264*f, 4*f + 4 = 0. Suppose 0*g - 1 = -g. Let q be 3\/(g + (-1)\/(-2)). Solve -q*y + 4*m = -r, -4*y - 3*m = -3*y + 11 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 74600a5 - -5?\nAnswer: 74600aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 4:48 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34712, 69037, 103362, 137687, 172012?\nAnswer: 206337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 13362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154731?\nAnswer: 3, 51577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhq when three letters picked without replacement from {k: 1, s: 4, h: 2, q: 4, m: 6}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -6. Suppose 3*d = -3*u - 2*u - 19, -5*d + 2*u = -20. Calculate the smallest common multiple of d and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 498\/11 or 8\/57?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*g**2 - 79*g**2 - 39*g**2 + 16*g**2 to k*g**2 + y*g + o and give k.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - -8. What is the highest common factor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00037787 rounded to five dps?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/9*((-15)\/(-24))\/(-1). Let x = 28\/165 + 1\/33. Which is the fourth smallest value? (a) 18\/11 (b) x (c) 3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6579618 - 6579735.99972. Let j = -118 - c. Round j to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 15, o: 3}. Give prob of picking 3 o.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -90, -86, -8, 150, 394, 730, 1164?\n\"Answer: o**3 + 31*o**2 - 96*o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 - -0.1478?\nAnswer: 0.1178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55715.776 - 45.\nAnswer: 55670.776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612 = -8*v + 2*v. Let z = 0 - -6. What is the highest common divisor of v and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * 20642897.\nAnswer: 412857.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(275)\/sqrt(11))\/sqrt(5) - sqrt(5) - (-4 + sqrt(25)\/sqrt(5))).\nAnswer: -4*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3*f + 4*k - 1486, 0 = -5*k - 20. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11863770 or 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 13*t**4\/12 - t**2\/2 + 84*t + 1. Let h(u) = 27*u**2 - 2. What is -4*h(f) + 9*j(f)?\nAnswer: 9*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 78*k - 8322. What is the remainder when k is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*y + 190 = -889. Let c be (165 - -6) + (0 - 2). What is the greatest common divisor of c and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98242996?\nAnswer: 2, 19, 449, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(2\/57))\/(x**1*x))**33)**3 assuming x is positive.\nAnswer: x**(-1947\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 555257737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2.8 (b) 567\/11 (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -13*h + 13. Let o be z(-7). Suppose -3*l + 20*n - 15*n = -275, 6*n - 153 = -l. Does o = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2288 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1169, 2336, 3503?\nAnswer: 4670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2531*g**3 - 22*g - 21. Let a(m) = -506*m**3 + 4*m + 4. Give -11*a(r) - 2*w(r).\nAnswer: 504*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -622*w + 77. Is s(-33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18, -5, -65.21?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -103*w**2 + 5*w + 11. Let v(h) = -51*h**2 + 2*h + 5. Calculate -9*v(t) + 4*y(t).\nAnswer: 47*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nptnpppptrppnrtnrtp. What is prob of picking 1 p and 1 n?\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 5*u - 5*s, 2*u - s = 2*s - 26*s + 27*s - 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 91 = 4*d. Let n be 1 - (-2 - 2\/1). Suppose h = 26 - n. Do h and d have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.049 (b) 0.2 (c) 14478\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-2))\/(190\/(-114))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (-6 + 3 - (-6 + 3))\/(-2). Let b(p) be the third derivative of 0 + 0*p + 0*p**3 - 1\/24*p**v + 12*p**2. Let h(z) = 5*z**2. What is b(h(o))?\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, k: 11, x: 1}. Give prob of sequence kzz.\nAnswer: 77\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 5180*v**2 + 0 - 5182*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 9:22 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.04 * 1.4\nAnswer: 1.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 15 + 5*n - 3*n + 0*n - 3*n. What is the remainder when f(5) is divided by (135\/10)\/(-9) - (-11)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2916*y + 6289. Calculate h(2).\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1082681*b**4 + 2*b**3 - b - 7858483.\nAnswer: 4330724*b**3 + 6*b**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 32. Suppose -7*o + 161 = -49. Calculate the highest common divisor of o and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s**3 - 28396*s**2 - 62560*s - 11376 = 0. Calculate s.\nAnswer: -2, -1\/5, 1422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8844 rounded to 2 dps?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = d - 395. Find the common denominator of 4\/27 and -5 + 8 - d\/102.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -44?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3417 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1773 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 11*f**2 + f - 9. What are the prime factors of z(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 5:21 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 38?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 796, 3302, 7490, 13366, 20936, 30206, 41182?\nAnswer: 53870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49636207?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 10:11 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(1 + 6 - 5)*(-1 - 1 + 3)*(9*i - 5*i + 18*i).\nAnswer: -44*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -s - 25, -4*s - 4*q + 9 = -11. Suppose 4\/5*v**4 + s*v + 0 + 6\/5*v**3 + 2\/5*v**2 = 0. Calculate v.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1425*l**2 + 83*l + 7. Let h(j) = 10*j**2 + j. Let a(v) = d(v) - 3*h(v). What is the second derivative of a(n) wrt n?\nAnswer: -2910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/16 + 6\/16. Suppose s - 94 = -5*x, 3*s = -i*s - x + 268. What are the prime factors of s?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 + 6*c**2 - 1 + 21*c**2 as w*c + l*c**2 + m and give l.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.8 from -17730715.\nAnswer: -17730721.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*u + 79*u - 87. Let s(k) = -k**3 + 3*k**2 + 4*k - 9. Let v be s(4). Let h be 9\/6*(-24)\/v. Solve 9*g - 4*g + 3*l = u, 5*g + h*l - 32 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262184 take away -1?\nAnswer: -262183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(24))\/sqrt(4))\/(-5*sqrt(15)\/sqrt(5) + sqrt(3)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from {z: 2, i: 1, g: 6, o: 1, e: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 209642612, 209642613, 209642614, 209642615, 209642616, 209642617?\n\"Answer: w + 209642611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124640*o**2 - 124639*o**2 - 114*o + 114*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 11*x = -112. What is the least common multiple of 12 and x?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 97b - -3?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4128287869881 - -0.74\nAnswer: 4128287869881.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, -7, 0.1, 5, 0, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/5 - 756*b\/5 - 3072\/5.\nAnswer: 3*(b - 256)*(b + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 0. Suppose -5*f + 5 = 2*y + l, -2*f + 4*y = 8. Suppose f = g + 8 - 40. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.42 - -1619?\nAnswer: 1612.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -39*k**2 - k. Let f(c) = 132*c. Calculate f(s(u)).\nAnswer: -5148*u**2 - 132*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -458890 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 38\/(-38)*1\/(-3). What is the closest to 1\/2 in -30, j, 2\/23?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z**2 + 4 - 47*z + 0 + 51*z. Let c be t(-1). Let r(f) = f**3 + 2*f**2 - 6*f - 5. Is r(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.21 and -1.332.\nAnswer: -1.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1310 is divided by 218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 131787 + 5 + 0 - (-7 + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnvv. Give prob of picking 2 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-5\/3))\/f**(-3)*(f**(4\/3)\/f*f*f*f)\/f**(5\/3) assuming f is positive.\nAnswer: f**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 140 - -12262?\nAnswer: 12422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 6 + 6. Suppose 14 = -c*f + 2. Suppose w - 23 = 4*j, 31 = -2*j - 3*j + 2*w. Put j, 2, f in decreasing order.\nAnswer: 2, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 7:41 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 4092.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 7:01 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -8. Is 2 a factor of ((-5)\/2)\/(3\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19789827 is divided by 6596546.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gffggggg. Give prob of sequence fgf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + j + 27 = 0, h + 5 = 13*j - 8*j. Let v be h\/3 + (-15 - 705\/(-45)). Solve -v*p = -13*p + 27 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 593503 - 4768459 = -279*m. What are the prime factors of m?\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0036767 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*g - 50 + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 517 + -517.000243. Round b to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44907324 and 4004?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31.8 + -26.2. Sort 2, -2, n in decreasing order.\nAnswer: n, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61546 divided by 4.\nAnswer: -30773\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18285 and 621?\nAnswer: 164565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 150104 - -444?\nAnswer: 150551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 - 73. Let g be (-10)\/k*(-693)\/(-21). Calculate the highest common divisor of 33 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 1\/18*t**6 + 0*t + 0*t**2 - 1\/5*t**5 + 1\/4*t**4 + 180 - 1\/9*t**3. Factor s(b).\nAnswer: b**2*(b - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.2263 rounded to one decimal place?\nAnswer: -15.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -232643265, -465286531, -697929797, -930573063?\n\"Answer: -232643266*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 13013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/22 or -2?\nAnswer: -13\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.696 - -0.25\nAnswer: -1.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 1. Let o = d - -6. Sort o, -0.3, -1 in decreasing order.\nAnswer: o, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**7\/105 + f**5\/10 - 5*f**2. What is the third derivative of u(z) wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/(-1620)*-12)\/(5\/(-3))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -30007.\nAnswer: -12002.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2028 + 453.\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 4*p + 7*p)*(4 - 4 + p + (5 - 2 - 4)*(0 - p + 0) + 3*p - 6*p + 4*p + 2*p + 0*p + 0*p - 2*p + 3 - 3 - 3 - 4*p + 3).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 106.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 210.38 + -119.21. Round r to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119526 and 11242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 313549723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**4\/2 - 2*j**3\/3 - 11*j**2\/2 + 17*j - 15308. Let f(m) = -m**3 + m**2 + 4*m - 6. Calculate -4*a(v) - 11*f(v).\nAnswer: 3*v**3 - 3*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -338*h - 2679. What is g(-8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 8. Let j be c(-7). Let v(p) be the first derivative of -3*p**2 - p - 10. Determine v(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -1. Let v(w) = -3*w**3 + 2*w**2 + 2 - n*w**2 + 3*w**3 + w**3 - 2*w. List the prime factors of v(6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 690, 694, 698?\n\"Answer: 4*d + 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-3) - (-2)\/(-6). Let d(u) = 3*u - 134*u**3 - 95*u**3 - u**2 + 228*u**3 - 3*u**2 + 2. Give d(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 776218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.11 - -0.37. Let q = f + -0.275. Let c = q + -1.125. What is c rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15335, 15795, 16535, 17555?\nAnswer: 18855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*i + 2*i = -55, -5*i - 38 = o. Let j = 15 + o. Let w(v) = -v + v + j*v - 4*v. Let c(h) = 6*h. Determine c(w(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 9 = -5*n + 31, 0 = i + 2*n. Solve -i*d - 2 = -5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3818 + 3817.994633. What is z rounded to five decimal places?\nAnswer: -0.00537","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 4999148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (-7 - -10) - (2 + -6)) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 25.24 (b) -1 (c) 7 (d) -3\/7 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -428 > -430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 7:36 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gppphvggphggfvgvvggf. Give prob of picking 1 f, 1 p, and 2 v.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 21. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2094*p**5 + 4*p + 269 wrt p.\nAnswer: -41880*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 8) in base 5?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Let p be ((-32)\/(-8))\/(-1 - 1). Is m\/(-4)*p - -148 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 12*g**2 - 29*g + 23. Let i be b(13). Let y = -304 - i. Let x = 132 + y. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 - 17*k - 12. Let h be n(5). Let i(r) be the first derivative of 1\/6*r**3 - r + h + 1\/4*r**2. Factor i(a).\nAnswer: (a - 1)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 7:27 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y + 36. Let p be a(-17). Suppose -2*d = p - 18. Suppose 13*q = 9*q + d. Put q, -4, 4 in decreasing order.\nAnswer: 4, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871.\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47336.\nAnswer: 2, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32732 and 6370048.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 4:20 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59777888?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.4 + 0.4. Which is the smallest value? (a) r (b) 0.3 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.84265 to 0 decimal places.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1946617*m**3 - 2273326*m**2 wrt m?\nAnswer: -11679702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8499926?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -66*z - 17. Let j(s) = -67*s - 20. Determine 6*j(u) - 7*l(u).\nAnswer: 60*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(325) - -4*sqrt(325))*3)**2 + sqrt(325) - sqrt(117)\/(sqrt(9) - sqrt(18)\/(-4*sqrt(2)))).\nAnswer: 21*sqrt(13) + 365625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*c**3 - 60*c**3 - 385*c**3)*(-802*c + 800*c - c**2 + 25*c**2).\nAnswer: -9120*c**5 + 760*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 8)*(-3)\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*h - 5*n, -4*h = -2*n + 4*n - 18. Suppose h = 3*l + 8. What is the hundreds digit of 4 + l\/(-4) + (-1828)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 - 4*m + 3. Determine i(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 - 27*o**3 + 141*o**2 - 189*o + 78.\nAnswer: -3*(o - 2)*(o - 1)**2*(o + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 + 47.9. Let u = o + 23.1. Let i = 212\/3 + -70. Which is the third smallest value? (a) 4\/9 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-2151)\/(-12))\/1)\/(106973\/7636 - 14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 80 = 4*h, -h = 3*a - 2*a + 17. Suppose -30 = m + 4*m. Let j = m - h. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472955?\nAnswer: 5, 7, 13513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335*q**2 + 5*q - 5*q - q**3.\nAnswer: -q**3 + 335*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)\/b)**7*(b**(-1\/4)*b)**(-16) assuming b is positive.\nAnswer: b**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 689 and 260.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - -3. Suppose -30*w + 15*w + 225 = 0. What is the remainder when r is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8*(4 - (-105)\/(-24)). Let o(j) be the second derivative of 0 - 2*j**2 - 1\/2*j**u + 7*j - 1\/12*j**4. Give o(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*b + 33 - 243 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44760762\/1134 + 16\/(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.763, 1, -4\/27?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 58*c**3 + 2*c**2 + c. Let r be l(-1). Let h = -28 - r. What is the remainder when h is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/269? (a) -150 (b) 0.4 (c) 5 (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 2*n**2 + 288*n.\nAnswer: -n*(n - 18)*(n + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6159965514 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 5*t**2 - 7*t + 2. Let n be u(-4). Let j be (-3)\/6 + 49\/n. Suppose 3*b - 2*q = 33, -2*b - 18 = -5*b - j*q. Which is smaller: 10 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - 3*t - 5*t to j*t + g and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12451 or 112046\/9?\nAnswer: 12451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -708*s + 41359. Determine o(57).\nAnswer: 1003","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/4 (b) 3282 (c) 1 (d) 0.02 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2. Let a(s) = -6*s + 2. Give a(x(w)).\nAnswer: 6*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 233810 by 206.\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -32350 minus -1050?\nAnswer: -31300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0418386 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**8*a*a)\/a*a**(-4\/3))\/(a**2\/((a\/(a**(-1\/10)*a*a))\/a)))**(1\/13))**(-46) assuming a is positive.\nAnswer: a**(-253\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:22 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66)\/sqrt(3))\/sqrt(2))**2 + ((2*sqrt(99))\/sqrt(9))**2)*4.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 176 - 392. Let s = i - -214. Sort s, 2\/23, -0.3, -3\/4 in descending order.\nAnswer: 2\/23, -0.3, -3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -3. Let j = -557\/30 + 115\/6. What is the biggest value in 4, q, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/41 or 1071?\nAnswer: 1071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2094, 0.28, 0.2, -2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/(10\/60). Let r(c) = -4*c + h*c + 2*c. Determine r(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9947 - -0.0053. Let d = -0.4 - 0.1. What is the third biggest value in d, -2\/9, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q**3 + 29*q**3 - 6*q**3 + 6*q**3 + 28*q**3.\nAnswer: 46*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 29 = -3*g + 42, 3*w + 18 = 5*g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 731444*c*h**5*x + 63*c*h**2 - 12*c*h*x + 38*h**4*x - 5761 wrt h?\nAnswer: 43886640*c*h**2*x + 912*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(2600) + sqrt(2600)))\/((2*sqrt(980))\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 72*z**2 + 11*z - 11. Let m(f) = -295*f**2 - 45*f + 45. Let w(i) = -11*m(i) - 45*n(i). Let a(q) = 1408*q. Determine w(a(c)).\nAnswer: 9912320*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -14*t + 99. Let k be h(7). Suppose -7*s - k - 34 = 0. Sort -11, -2, s in increasing order.\nAnswer: -11, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.025 - 3.025. Which is the smallest value? (a) -0.4 (b) 3 (c) 0 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*m - 240*m - 27240 = 300*m + 45112 for m.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2360 and 520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 77 - 56 = 0. Suppose 48 = -c*h + 384. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-150*(-1)\/2)\/((-1)\/(-2)). Suppose 9 = -5*i - 6, 5*i = d - h. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 19*w**2 + 43*w + 23. Let c be b(-21). What is the units digit of (11 - -72) + c + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 5*z + 19. Let s be y(7). Suppose 3*n = 4*g + 6*n - 18536, -s*n = -g + 4657. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + u**2 - 4*u - 3. Let h(c) = -c**3 + c**2 - 5*c - 4. Let y(z) = 2*h(z) - 3*o(z). What is y(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 10. Solve -2*f + 3*i + 16 = 0, -2*i - a*i - 20 = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-19 + -2)*(80\/(-12))\/(-10))\/1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138 and 933114?\nAnswer: 21461622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225 and 15?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499*d = -511*d + 1034*d - 216 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 879826.\nAnswer: 2, 103, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 65 = -185. Let y be (-16)\/20*w\/21. Find i such that 8\/7*i**2 - 2\/7*i**3 - y*i + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 - 212122?\nAnswer: -220101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -12 + 82. Let s = k - -315. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -8*z - 48. Determine b(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43739884 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80.795 - 81. What is r rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10350 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/7 + 180\/70. Let d be x\/12 - 134\/(-8). Suppose -13*u = -120 - 101. Is d at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 822989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7310783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from {e: 1, i: 11, w: 3, s: 4}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 4*v - 1. Let h be p(3). Let g = h + 8. List the prime factors of (22 - 7) + g\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1275, 1269, 1261, 1251, 1239, 1225, 1209?\nAnswer: 1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1816623.\nAnswer: 3, 201847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3204261 (base 8) to base 2.\nAnswer: 11010000100010110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3888\/(-288))\/(6*1)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t. Let r(s) = 247796260*s**2. Calculate j(r(x)).\nAnswer: -495592520*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16604869 times -39?\nAnswer: 647589891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21, 75, 165, 291?\n\"Answer: 18*p**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5359 is divided by 1339.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 114 (base 10) to base 14\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r + 0*r**2 - 5\/12*r**4 + 4 + 0*r**3. Let c(o) be the first derivative of h(o). Let q(z) = z. Calculate q(c(n)).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197, 186, 175, 164?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66*q**5 + 122*q**2?\nAnswer: -3960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -161385310*z**3 + 3*z**2 - 8114708 wrt z.\nAnswer: -968311860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 6*a**2 + a**2 + a**4 - 35*a + 13 + 6 as h*a**2 + d*a**4 + f*a + b*a**3 + z and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(1\/18)))\/(x**3*x))**(-2\/53)*(x\/((x**(-2)*x)\/x*x))**(-1\/13)*(x**(1\/3))**(1\/29) assuming x is positive.\nAnswer: x**(1168\/179829)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 422245 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/10*(-140)\/(-42). Let a be -3 - 55\/(-30)*v. Let k be 1*(-2 - 57\/(-18)). Is k at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*o - 32813 = 0, -5*b + 39*o - 36*o + 40996 = 0. List the prime factors of b.\nAnswer: 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(832) + 2 + sqrt(832)))**2 - 6*sqrt(832)*-2 - ((sqrt(117)*1 + 3 - (-1*-1*sqrt(117) - sqrt(117))) + 1)**2.\nAnswer: 648*sqrt(13) + 29855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13895419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 78*i**3 - 252*i**3 + 175*i**3 + i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1734, -3481, -5238, -7005, -8782?\nAnswer: -10569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*2)\/(25\/(-10)). Let d be 8\/6*(-96)\/64. Let n = 4.22 - 4.42. What is the fourth smallest value in d, n, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-3\/2))**(1\/45)*(q*q**(-2\/25)*q)\/(q*q**7) assuming q is positive.\nAnswer: q**(-2711\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3249? (a) -6 (b) -3 (c) -4 (d) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**2\/5 + 29106752*m\/5 + 29106754\/5 = 0.\nAnswer: -1, 14553377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 111\/5 (b) 3 (c) -27 (d) 2 (e) 1 (f) -0.5 (g) 1.9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*(1 + ((1 + sqrt(304) + 2)**2 - (sqrt(304) - (sqrt(304)*2 + -5))**2) + -1)*2.\nAnswer: -96 + 384*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 2:34 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/((-80)\/(-24)))\/3)\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/((-5)\/(-60))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/3*((-105)\/(-2) + -7). Calculate the highest common factor of 1248 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -2*s - 4*r, -3*r + 36 = s + 8. Calculate the remainder when 38 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-10 - -2)) + (1 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3454, -7295, -11136?\nAnswer: -14977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**3 - 8*w**3 - 33*w**3 - 10*w**3.\nAnswer: -41*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(637)*3*-1)**2*-5.\nAnswer: -114660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 37, -27, -2, 1447.7 in decreasing order.\nAnswer: 1447.7, 37, -1\/4, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18220857 and 237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/2 - 78702*b**2 - 165567066*b - 85405367712.\nAnswer: 3*(b - 54512)*(b + 1022)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*w - 20, -4*t + 75*w + 16 = 78*w. Which is the nearest to 0.5? (a) -0.1 (b) 9 (c) t (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.518132 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 99.02 and -2145 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + (sqrt(1377) - (sqrt(1377) + 1 + sqrt(1377) + -4)))**2.\nAnswer: -72*sqrt(17) + 1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2\/(-8)*(-450)\/(-1425)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 991582831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21*(-30)\/210)\/(60\/1160)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.60050372 rounded to one dp?\nAnswer: 34.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(-2*sqrt(5)) + sqrt(66)\/(sqrt(6)*1).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(-1 + 6 - 3)*(-50*y + 12*y - 47*y).\nAnswer: -340*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*u + 149, 2*h = -3*u - u + 114. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5 + 3. What is the tens digit of w\/10*(-175)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 1424?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*f**5 - 208*f**2 - 9*f + 207*f**2 + 0*f**4 + 0*f**4 wrt f?\nAnswer: 1680*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -22. Let h(s) = 31*s - 44. Is h(x) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67638015 by -13527603.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208381*q**2 + 208350*q**2 + 208376*q**2 - 625103*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -7. Let h be (7 - 2281\/20)\/(9\/96). Let f = h + 1142. What is the second smallest value in f, 4, p, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l**3 - 54*l**2 + 15*l - 11. Let y be r(-8). Let t = -7.16 - -0.16. Let c = -12 - t. What is the nearest to 2\/5 in 0, c, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1001*i**3 + 989*i**3 - 1970*i**3 + 139*i.\nAnswer: 20*i**3 + 139*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40626, 40681, 40742, 40809?\nAnswer: 40882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y**2 - 25*y + 27. Let j(c) = -8*c**2 - 37*c + 38. Let a(o) = -7*b(o) + 5*j(o). What is a(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 + -29. Suppose -4*s + 197 = u, -4*s + 228 = 5*u + 11. Calculate the highest common divisor of p and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - -5 - -4 - (-1 + 7 + (-9 - -12))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 830719244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m - 5. Let i be y(3). Suppose 14*a - i*a = -40. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322 and 7658.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-16 + 7)) + -5 + -1. Let g(a) be the third derivative of 0 + 0*a**3 + 1\/24*a**4 + 0*a + l*a**2. What is g(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6542 + 6501 - 13412)*(0 + 5 - 2)*(-o + 0*o - o)*(2 + 2 - 5) to the form c + g*o and give g.\nAnswer: -2214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**5\/6 + 211*w**4\/3 - 15255*w**3\/2 + 130832*w**2\/3 - 108160*w\/3 = 0. Calculate w.\nAnswer: 0, 1, 5, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -53 - 11. Let y = 32 + u. Let q be -31 - -34 - 1*-2*1. Solve y*j - 20 = q*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3) + 2 - -2 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**3 + 3*c**2 + 15*c - 44. Let b be s(4). Let z = 586 + b. What is the remainder when z is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3451*n - 5244. Let p(u) = 3536*u - 5245. Let f(w) = -3*p(w) + 4*z(w). What is the derivative of f(l) wrt l?\nAnswer: 3196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9555 = 208*v + 247*v for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -11 + 2 - 11\/(-1). Let j(u) be the second derivative of -11\/4*u**4 + 0 + 0*u**3 + 24*u + 0*u**c. Let i(r) = -2*r**2. Calculate j(i(f)).\nAnswer: -132*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(((-5)\/(-8))\/(677915\/11068))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 3*o**2 + 3*o + 1. Let c be q(-4). Suppose 4*j - c = 7. Suppose s = -5*h + 6, j*s = -4*h - s - 8. Solve n - 4 = -h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.0402 - -0.0602. Let x = -0.02 + g. Let w(h) = -h**3 + 7*h**2 - h + 4. Let p be w(7). Which is the closest to -0.1? (a) x (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2955 + -2953. Determine j so that -1\/2*j**a + 4*j - 8 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1649 - 298*y + 2518*y - 1649 to the form r*y + h and give r.\nAnswer: 2220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j - 6. Let x(q) = 7*q + 5. Let n be (-27)\/4 + (-66)\/(-88). Determine n*x(z) - 5*w(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 17*j**3 - 3*j**2 - 13*j + 7. Let g(i) = -9*i**3 + 2*i**2 + 7*i - 4. What is 7*g(z) + 4*m(z)?\nAnswer: 5*z**3 + 2*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/18 and 4\/24 + 145\/500?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 294 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -70, -117, -164?\n\"Answer: -47*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*o + 7*o + 3*o)*(-2 - 4 - 3 + (2 - 30 - 19)*(3 - 2 + 1))*(2 + o - 2) to v + p*o**2 + t*o and give p.\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.076 + -0.076. Which is the second smallest value? (a) u (b) 2 (c) 1 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 141\/1746160 and 91\/8760?\nAnswer: 5238480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-16 - -4)*4\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((6 - 3 + 2)*(m + m - m) + (-m + 3*m - 3*m)*(2 - 4 + 1))*(m + 0*m + 4*m) as n*m + c + o*m**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(-5) + (59 - -1). Suppose 0 = -5*l + 3*l + w + n, 48 = 2*l + 2*w. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 18.203, 0.08, -30, -2\/5, 3 in ascending order.\nAnswer: -30, -2, -2\/5, 0.08, 3, 18.203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - 11303.4754.\nAnswer: -11352.4754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003661147376 rounded to seven dps?\nAnswer: -0.0000366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**3 - 23*m**2 - 10*m + 37. Give t(-3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + o**2 - 2*o + 1. Let d be u(1). Let r be d*(1 - (0 + 0)). Is (r + 1)\/(2\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1, -3, 94, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/17 in 0.5, 1, -5, -0.1, 2350?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2419 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004226945 rounded to 7 decimal places?\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**4\/10 + 2*x**3\/3 - 2*x**2\/5 - 16*x\/5 + 48. What is o in v(o) = 0?\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 38596, 38457, 38344, 38269, 38244, 38281, 38392?\n\"Answer: 2*i**3 + i**2 - 156*i + 38749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 124982154 + -66693154. What is m rounded to the nearest one million?\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = p - 0*t - 78, 5*t = -3*p + 220. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 11. Sort 3, -0.3, d.\nAnswer: d, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - 2*s + s**2)*(s + 0 + 0)*(-9*s - 7*s + 52*s) in the form b + v*s**3 + f*s + q*s**4 + w*s**2 and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/26 + (-1305)\/(-13572). Sort u, -0.3, 14, -1.\nAnswer: -1, -0.3, u, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (0 - 2) - 6 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/4*280\/4025\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -45\/4. Sort f, -3, -1, -2\/11 in increasing order.\nAnswer: -3, -1, f, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216 (base 7) to base 16.\nAnswer: 6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 18*t + 1216. What is p(-71)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**4\/12 + i**2 - 9*i. Let k(d) = -d**2 - 5. Let f(s) = -5*b(s) - 2*k(s). Let z(o) = 2*o. Give f(z(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*h - 3*w + 78, -60936774 = 3*h - 5*w - 60936820 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -252*d**5 - 2*d**4 + 15*d**2 - 30044*d?\nAnswer: -5040*d**3 - 24*d**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 30*z + 2. Let r be d(1). Suppose 4*u - 120 = r. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4697 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9783961?\nAnswer: 11, 179, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2028\/182)\/(-26)*(-17)\/(-3)\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14.3, 3, -76\/7.\nAnswer: -76\/7, 3, 14.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -788 - -844. Suppose -48*f + x*f = 9608. Is 79 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -45*p**3 - 4*p**2 - 2*p + 2. Let x be s(-2). Suppose 29*b - 27*b - 3*n = 4, 2*n + 40 = 4*b. Calculate the highest common divisor of b and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28 - -11?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -4235978\/7 > -605141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**3 - f - 3 - 3*f**3 + 7*f**3 + 5*f**2. Let x(o) = o**3 - 4*o**2 - 8*o + 1. What is the remainder when x(6) is divided by b(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2. Let i(m) = -43*m - 43819. Calculate i(h(b)).\nAnswer: 86*b**2 - 43819","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 557907.17 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2\/7, -0.1, 170.467?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -130. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 823.6748 centuries in months?\nAnswer: 988409.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*x**2 - 176*x**2 - 27*x**2 + 67*x**2 - 267*x**2.\nAnswer: -525*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 v when three letters picked without replacement from vvhhhhmvhv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 3*f - 5, 2*r = -174*f + 169*f - 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 86*j**2 - j + 47*j**2 + 136*j**2 - j - 43*j**2 to s*j**2 + c*j + x and give s.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67143 - 2*d**2 - 29*d**3 - 67143.\nAnswer: -29*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 28*f - 93. Let y be a(-24). Suppose -21 = 6*g + y. Sort -1, 7, g in descending order.\nAnswer: 7, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**5\/10 - 41*p**4\/6 + 133*p**3 + 441*p**2 - 108*p. Factor m(w).\nAnswer: 2*(w - 21)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7133, 13381, 19631, 25883?\nAnswer: 32137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 309*u**2 + 5*u + 1298. Let s(i) = 618*i**2 + 9*i + 2597. Let b(y) = -5*d(y) + 3*s(y). Differentiate b(o) wrt o.\nAnswer: 618*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 3) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56163 is divided by 18550?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 2*a - 24*a**2 + 21*a - 81*a**2.\nAnswer: -105*a**2 + 17*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1604.3 + -1604. What is the closest to -3 in -1, -0.1, -2\/15, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/399*(-1064924145)\/60. Let j = s + 133449. Find the common denominator of j and 79\/18.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b8a197a - 5?\nAnswer: 1b8a1975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 2*o + 111241*o**2 - 111352*o**2.\nAnswer: -111*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -67, -69, -71?\n\"Answer: -2*r - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31986010097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**5\/4 - 85*o**4 - 10563*o**3\/4 - 12087*o**2 + 23787*o + 115668 = 0?\nAnswer: -306, -28, -6, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + 1*sqrt(832) + -2)*1)**2.\nAnswer: -64*sqrt(13) + 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1)*(-2*t**2 + 3*t**2 - 3*t**2) - 70 + 69 - 14*t**2 + 3*t + 8*t**2.\nAnswer: -2*t**2 + 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*c + 34 = -6*c, 2*q = -c - 13. Let g(i) = i + 8. Let b be g(q). Sort 4, b, 5 in decreasing order.\nAnswer: 5, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 352662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7584304 and 1040?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19634969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 3*b + 4*b)*(-1 - 1 - 3)*(1 - 2 + 2 + 5 - 2 - 2 + (1 - 3 + 0)*(3 - 1 + 0) + 6 - 5 - 2 - 1 - 2 + 1 + 4 - 2 + 1).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 221820 in ascending order.\nAnswer: -3, 1, 221820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 512.9?\nAnswer: 10.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-24 + 3 - 3) + 100 + -108.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 7:03 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 - 9 - (-14030)\/(-115)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**3 + 21*f**3 - 8*f + 8*f.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 13329360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 0\/(-4) - -8. Suppose -13*j + s*j = -20. Calculate the least common multiple of j and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 4404386?\nAnswer: -4404402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*n**3*q**2 + 22*n**2*q**2 + 15*n**2*q - n*q**2 - 10619*q**2 wrt n.\nAnswer: 60*n*q**2 + 44*q**2 + 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkoy when four letters picked without replacement from oyvki?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 330 and 66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 2*u**3\/3 - 11*u**2\/2 + 26*u - 11. Does 5 divide w(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*z + 51*z - 21 = 0. Solve 3*c + 22 = z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -1\/4*v**4 + 0*v**3 + 2*v**2 + 3 + 0*v. What is the second derivative of o(g) wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -114 - 102. What is the units digit of -2*13005\/k + 1\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 436\/50*((-1715)\/(-336) - 0). Let g = -224\/5 + j. Find the common denominator of g and -83\/66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/4)\/n*n*n)**(4\/19))**(-44))**15 assuming n is positive.\nAnswer: n**(-3300\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19135573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -542 divided by -3.\nAnswer: 542\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2790 - 2715 - (1 - -49).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 6 - 4)*(4 - 4 - 4)*(0*r - 3*r + 5*r) to the form h + p*r and give p.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-9))\/(4\/18). Solve -w - 7 = -l, 9 = m*l - 3*l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112783579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 68370 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6584713503?\nAnswer: 3, 31, 61, 211, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*k = 42*k - 6*i + 2*i - 2 - 12, -5*k - 69 = 27*i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 840 and 2726472?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*t - 827, -49*t = -46*t + 3*v - 1263. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 61769, 123503, 185179, 246767, 308237, 369559?\n\"Answer: -5*n**3 + n**2 + 61766*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -182*c + 244 + 21*c - 3*c**2 + 7*c**2 - 2*c**2 - 85*c.\nAnswer: 2*(c - 122)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 4*g**2 - 2*g - 7. What is the remainder when s(-5) is divided by 6\/(-10) - 1166\/(-110)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + z + z - 10 = 0, -11 = -3*f - 2*z. Let b be (-3)\/(-6) - 14\/(-4). Solve 3*y - v + f = 0, 5*y - y + 4*v - b = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51538397 is divided by 230?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c**(-1\/4)\/c))\/c**(-1\/4))\/((c\/c**(1\/2))\/c**(3\/4)) assuming c is positive.\nAnswer: c**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/7*(-35)\/(-5). Suppose -2*f + 8 = -y*f. Is 8 a factor of ((-190)\/15)\/(f\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**4\/24 - p**3\/6 + p**2. Is q(-8) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.6 * -1369553.\nAnswer: 40538768.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1705\/310*(-5)\/165?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40190 - 28492. Calculate the remainder when x is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 127, 0.5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.22817 rounded to 2 decimal places?\nAnswer: 13.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9619*y + 1558 = -9660*y for y.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*k + 4400 = -3*k for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/2, -0.02, -223\/6, 0, -0.18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353*m**3 + 142*m**3 - 1982*m**3.\nAnswer: -1487*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 820*u + 162389. What is y(333)?\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7533 + -7942.1. Let i = 409 + g. What is the nearest to i in -4, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n + 3 - 4*n**2 + 3*n**2 - 6 + 5. What is k(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 39656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from bbbp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 358635829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 o, and 2 h when four letters picked without replacement from hhvhieohvhehhjjvv?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3631969 is divided by 44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2466251 is divided by 13933.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 256*t**4 - 440*t**4 + 333*t**4 + (-4 + 3 + 2)*(3*t**4 + t**4 - 3*t**4) + 2*t**4 - 4*t**4 + 0*t**4.\nAnswer: 148*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 498a17 (base 14) in base 7?\nAnswer: 30266530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 22748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1350\/19 - -71. Let q = 21\/38 + t. What is the second biggest value in -4\/5, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(9) + sqrt(18)\/sqrt(2)) + -5)**2 - (-1 + 0 + sqrt(176))**2.\nAnswer: -597\/4 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5774 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 1. Let p(q) = -2*q**2 + 8*q - 1. Let b(n) = -2360*n**2 - 4*n**3 + 1 + 0 - 12*n + 2334*n**2. Let j be b(-6). What is j*p(w) + 3*t(w)?\nAnswer: -2*w**2 + 5*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16193249?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1197497?\nAnswer: 7, 17, 29, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 + 4*x**2 + 2*x**5 + (0*x**4 - 2*x**4 + x**4)*(x - 3*x + 0*x) + (-3*x + 6*x - 2*x)*(2*x**4 + 2*x**4 - 3*x**4).\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-4 + 4 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118863111 divided by 39621037.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 639730 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1002 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211244861?\nAnswer: 211244861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 18*a**2 - 3*a - 60. Let p be d(-18). Suppose -3*i + 8*i - 15 = 0. Suppose -2*c - i*c - 31 = 2*w, -c - 8 = w. Which is bigger: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1059190?\nAnswer: 2, 5, 11, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2840, 3058, 2990, 2636?\nAnswer: 1996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 9) + 14 - (-3 + 0 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/5*(-21 - -26).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3596076719 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z**4 + 124*z**3 + 2*z**2 + 4*z - 34?\nAnswer: -48*z + 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z - 3. Let b be s(-4). Let m = b - -22. Solve -4 = m*q - 7*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19630 to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1313 and 1313.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011111001 (base 2) in base 7?\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30023001220000 + -11?\nAnswer: 30023001213323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 3\/2, 8, 5, 0.043?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 2, 3069, -2, 36 in decreasing order.\nAnswer: 3069, 36, 8, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135291151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + -1 - (sqrt(13) - sqrt(260)\/sqrt(5)) - (3 + -1*sqrt(1872) + 3).\nAnswer: -7 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54749 is divided by 60?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 78325731.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d + 71*d + 524 = -568 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 574 + 1930. List the prime factors of i.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24b5c1 (base 15) in base 7?\nAnswer: 20646160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-5)\/225*3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3\/8, -1, 5 in ascending order.\nAnswer: -1, -3\/8, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - -1) + (-13 - 18 - -17 - -12)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (44*n**2 - 60*n**2 - 91*n**2)*(1 + 3*n + 2 - 1) to d*n**2 + k*n + v*n**3 + c and give d.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000029 rounded to 6 dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/689991 and -89\/21732?\nAnswer: 2759964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q - 5. Let n(a) = a**2 + 8*a + 6. Let s be n(-5). Let k be j(s). Let u be ((-12)\/(-10))\/((-15)\/k). Solve -4*b + u = x, 2*b + 4*x = 3*b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -129*m**3 - 316?\nAnswer: -387*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 1391*x**2 - 88574*x - 117. Give l(-61).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 2)*(-1 + 1 - s) + 5*s - 5*s - 3*s + 3*s - 3*s - 2*s - 19*s + 3*s + 20 + 20*s to o + f*s and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/3 + 2*t**3\/3 + 56*t**2 - 928*t\/3 + 1408\/3.\nAnswer: -2*(t - 4)**3*(t + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206459 = 13*u - 61073 - 34029. Is 141 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1011512533 - -3?\nAnswer: 1011512540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4520 + -2366. Let d = -1400 + c. What is the highest common factor of d and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 3. Let v(p) = -p**3 - p + 17. Let x be v(0). What are the prime factors of x\/3 + c\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -72 and 215.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33.89243cm?\nAnswer: 338.9243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96.5 + -84.47. Let n = 12 - v. Let x = n + -2.97. Which is the second biggest value? (a) -0.5 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90816205615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t - 128 = -5*t + 4 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, j: 8, n: 2}. Give prob of picking 1 q, 1 n, and 1 j.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.837826 centuries to years.\nAnswer: 83.7826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33\/133 - 6481\/1463. What is the common denominator of d and -71\/110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 65624.66 milliseconds?\nAnswer: 65624660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z - 49 = 19*z. Suppose 2*j - 792 = -4*b, -2*j = 2*b - z*b + 972. Suppose 10*g - 14*g = -b. What is the remainder when g is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and (-3 - -5)*(-11 - -6) - -640.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 621 and 1518.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, p: 10}. Give prob of picking 4 p.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j + 25 = 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 0*o**3 + 32\/15*o**5 + 0*o + 0*o**4 + 24*o**2 + 0. Let f(u) = u**2. Give f(x(a)).\nAnswer: 16384*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y + 408. Let b = y - -734. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 480 divide 9167961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 0.2 (c) 18168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -148, -267, -366, -439, -480, -483, -442?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 55*c - 35. Let n(p) = 50*p**2 + 11*p - 1. What is the least common multiple of 6 and n(c)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 817273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**5\/7 - 332*l**4\/7 - 5840*l**3\/7 + 51392*l**2\/7 + 278784*l\/7 = 0 for l.\nAnswer: -44, -4, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -199*t - 6165. Calculate h(-31).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 7:13 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(6*(1 + sqrt(2299)) - (1*sqrt(2299) + sqrt(2299))*-1 - ((sqrt(2299) + sqrt(2299) + -2 + sqrt(2299))*-2 + 3 + 4)))**2.\nAnswer: -13860*sqrt(19) + 4055661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 - (1 + (5 - 6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (17 + -16)*(0 - -5). Suppose -4*w = -c - 3, 3*w - 4*c = -9 - t. Solve i - 6*i - 5*p + 20 = 0, w*i - 12 = -4*p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/5 (b) 0 (c) 0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/9 of a day in minutes?\nAnswer: 4480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1202904 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 177898 or 177895?\nAnswer: 177895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 111 and 1.07.\nAnswer: 112.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 970026 and 17889?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 1. Let l(w) = 5*w**2 + 4*w + 5. Let h(f) = -5*d(f) - l(f). Let r = 113 - 55. Let g = 57 - r. What is h(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/(-20))\/(2\/(-4)))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*v**3 - 3*v**2 - 28*v**3 + 3*v**2.\nAnswer: -340*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19500662?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*n + 17. Suppose 160 = 7*w + w. Let b = w + n. Calculate the greatest common factor of 6 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.551331 millilitres?\nAnswer: 0.004551331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 + 729\/21. Suppose 153 = 5*s + 4*j, 3*j + 0*j = -s + c. Suppose -l - 5*p + 5 + 36 = 0, l + p - s = 0. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 486\/270*(-4)\/(-12). Sort 0.1, n, -0.2, -16, 4\/3 in ascending order.\nAnswer: -16, -0.2, 0.1, n, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**3 + 92*o - 5*o**3 + 4*o**3 + 74 - 88*o - 4*o**3 as d*o + l*o**2 + g + c*o**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24898 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - u = -171 + 16, 4*r - 3*u - 175 = 0. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 573 + 130 = 63*k - 620 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 10:39 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104234760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1274 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 983.05 - 983. Which is the second biggest value? (a) -1 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 507 = -102. Suppose -40*n - 18 = -o*n - 3*i, -3*n = -3*i - 30. Which is greater: 7 or n?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 208825 + 4?\nAnswer: 208829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b = 3, 2*m - 14 = -4*b. Suppose m*p + 27 = 72. Solve 4*x + 11 + p = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r + 6. Let c(k) be the third derivative of -6*k**2 + 1\/4*k**4 - 17\/6*k**3 + 0 + 0*k. Determine 6*c(i) + 17*y(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-6))\/((-3)\/(-9)). Suppose y*n - 2 = -6. Let p be (-32)\/(-1080)*(-3)\/2*-5. What is the closest to 0 in n, 3\/11, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w = -27*w + 174. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -61, -71, -123, -229, -401, -651, -991?\nAnswer: -1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*l - 5*z, 4*l + 32 = 2*z + 10. Let a = l - -13. Suppose 0*j = -a*j + 25. Which is greater: 4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 5*g. Let u be (g - -3)\/((-2)\/2). Let y be -1 - u - (-5 - 2). Solve 2*o - 6*o - y = m, 2*m = -2*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25735 and 156865119.\nAnswer: 5147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 226026133\/3 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u - 5. Let x be n(4). Suppose -q - 2*r + 16 = x*q, -2 = -2*q + 2*r. Solve -26 = -5*c - q*b, 3*c + 3*b + 6 = 6*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 0 + 6 = 0. Suppose -2*p = -5*u - 5 - 9, u + 4 = 0. Sort p, o, -2, 4 in increasing order.\nAnswer: p, -2, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2905 at least -2903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, t: 3, z: 2}. Give prob of picking 1 k and 2 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5)*h)\/h)**(2\/61) assuming h is positive.\nAnswer: h**(-10\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98079 by -5.\nAnswer: 98079\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1159.2 plus -0.004131639?\nAnswer: -1159.204131639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.073, 1998, 1\/4?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 5*d = -13, 4*j + 0*d - 5*d - 21 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*l - 1179. Let z = 700 - l. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, j: 3, q: 3}. Give prob of sequence jjqg.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 557017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -e31 (base 16) to base 10\nAnswer: -3633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4. Suppose 0*z = -3*z + t + 19, l = 5*z + 5*t - 25. What is the smallest common multiple of 10 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6 + 2 = 0. Suppose 0*k + 51 = k - 2*v, -p*k + 101 = -5*v. Does 21 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -1618*i. Let l(d) = 12*d**2 + 5*d + 5. Calculate l(z(r)).\nAnswer: 31415088*r**2 - 8090*r + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 32. Let y = 246 + g. Let t = y - 110. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iggiiiiqggigqi. What is prob of picking 3 g and 1 q?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**2\/15 - 25694*b\/15 - 8568 = 0.\nAnswer: -5, 12852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 3503747568704.\nAnswer: -3503747568703.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = d + 2*d. Let x be d + (6 + 3)\/(-3). Solve 0 = -5*k + 4*q - 37, 2*q + x - 14 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/9, 238, -2, 5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -441 + 136. Is 32 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from jxnhxzx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1495, -1511, -1515, -1501, -1463?\nAnswer: -1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -12*w - 9. Let x = 34 + -36. What is the remainder when l(x) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.11, -22, 34, -2, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3038 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + -2 + 1 + 1. Sort 1, -3, z in decreasing order.\nAnswer: z, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12894?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101 + -123. Let s be (-12 + 11)*12\/1. Let u = s - t. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2. Let a = 26 - 18. Let r be (-1 - (-12)\/a)*-4. Let v(d) = 1. Let x(c) = r*q(c) - 6*v(c). What is the first derivative of x(s) wrt s?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w**3 - 2*w**2 + 4*w. Determine r(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1406, -4687, -9842, -16871?\n\"Answer: -937*s**2 - 470*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*w + 0 - 2 - 3*w in the form s + c*w and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 9:52 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -2. Let q = 4 - p. Let x = q - 7. Which is the second biggest value? (a) x (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 + 82. Suppose -5*l + 2*p - 43 = 0, -1 = 3*l + 176*p - 171*p. Which is the closest to z? (a) -1 (b) 3\/2 (c) l (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/3)\/(12\/6). Suppose f = 2*g - 4 + 28. Suppose 5*r = r - 28. Are r and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(144)\/(sqrt(9) + 1*sqrt(9) + sqrt(9)) - sqrt(144)\/(sqrt(27)\/sqrt(3)))\/(sqrt(24)\/sqrt(3)*6*-2).\nAnswer: sqrt(2)\/18 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)*y)**(-18)\/(y*y**(-1\/7)*y*y\/y**9*y) assuming y is positive.\nAnswer: y**(162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 3*i - 12, 5308 - 5348 = 2*x - 2*i for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*d + 187*d**3 - 378*d**3 - 45*d**4 + 191*d**3 wrt d.\nAnswer: -540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6270 by 11.\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - b + b - 2*b**3 + 0*b + 0*b + (2*b + 3*b - 4*b)*(-4*b**2 + 4*b**2 - b**2) - 2*b + 2*b - 2*b**3 + 0 - b**3 + 0 + b**3 - b**3 + 3*b**3)*(5 - 4 - 5).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -180 - -104. Let p = b - -75.99967. What is p rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.527023 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3205, 3962, 2275, -1856, -8431, -17450?\nAnswer: -28913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 7*t**2 + 3*t - 6. Let m = -23 - -13. Let o = m + 45. What is the remainder when o is divided by c(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - 39)\/(-2 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 - (-63 + 75 + (-14 - (-4 - -2 - 0))).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/18 and 59\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*a - 11. What is the smallest common multiple of a and 44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/5)*a)\/a**(-9\/5)*a\/(a*a**31*a*a)*a**(1\/13))**(-3\/16) assuming a is positive.\nAnswer: a**(1449\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, v: 2, s: 2, r: 1, a: 10}. What is prob of sequence sa?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + t + 2)*(-1189 + 511 + 480) as v*t + g and give v.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*m**3 + 226*m**3 - 77*m**2 - 56*m**2.\nAnswer: -2*m**3 - 133*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11110 - 10919.56. Let j = m + -181. Round j to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/72*0)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/8 and 47\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -3*g - 34. What are the prime factors of g?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/9*(-6)\/(-88)*-4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106581 by 13.\nAnswer: -106581\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*(-110)\/165.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1334 > -1357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 13 = -5*r, -94*r + 89*r = 2*f + 31 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846598 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 60931 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2*m + 16, 2*m + 24 + 16 = 5*u. Solve w = -w - u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1703 = 4873. Is f + (-2)\/((-6)\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1172153 to the nearest integer?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*v**2 + 1622*d + 423*v wrt v.\nAnswer: -2*d*v + 423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkdkkk. What is prob of picking 2 k and 1 d?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcpczzyy. Give prob of picking 1 p and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 31 = 7*v, -s - 4*v - 2235 + 2253 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10368 = 81*s + 96*s - 606*s - 2073 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-975*b - 991*b - 189*b + 646*b)*(9 - 2*b**2 - 9 + (b - 3*b + 3*b)*(2*b - b - 3*b)).\nAnswer: 6036*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19, 26, 35, 46, 59, 74?\n\"Answer: y**2 + 4*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by (228\/18 - 12)\/((-4)\/(-390)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-9)\/(-2))*(40107\/58 + -30). Is g at most as big as 438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245262337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + p + 12, -5*p + 4 = -4*n - 0*n. Suppose -n = -5*i + 66. Does 12 divide -132*((-36)\/28 - (-4)\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 5*v. Let x be 1 + 6 - 1*-1. Let p be 2*1*12\/x. Suppose -4 + p = -m + a, -4*m - 5*a = 41. Calculate d(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - -26. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*b + 72*b - 675 = 0. Let j(w) = 9*w + 7. Let q(r) = -8*r - 7. Determine b*j(i) + 6*q(i).\nAnswer: -3*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(425))**2 - (sqrt(425) + (0 + sqrt(425) + -4 + sqrt(425))**2 + sqrt(425)) - ((sqrt(612) - (sqrt(612) + sqrt(612)*-2)**2) + -3 + 3).\nAnswer: -678 + 74*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*(-49)\/(-1568)*-56?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**2 - w - 3. Suppose -36*a + 39*a = -1236. Let d = -413 - a. Let r(b) = b**2 - 1. Calculate d*z(i) + 2*r(i).\nAnswer: -3*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, g: 7, u: 1, c: 3}. What is prob of sequence bb?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 5*u - 20 - 0, -u = 4*s + 18 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q. Let p be (-2)\/(-6) - 3\/((-54)\/(-78)). Let k be (3\/(-6))\/(-1*p\/(-192)). Let v(j) = -12*j + k*j**2 + 12*j. Give m(v(y)).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18, 115, 284, 531, 862, 1283, 1800?\n\"Answer: j**3 + 30*j**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-65) + (-82)\/(-26). Let d(a) = 2*a - 4. Let l be d(r). Suppose l*j - 36 = 4*c, -11 = 2*c - 1. Solve -3*s + 7*s - j = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -1.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - 1 - 2\/(-2). Suppose -2*q = 4*d - 20, d + 2*d = 4*q + x. Calculate the highest common divisor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhzhhhzh. Give prob of picking 3 h.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 9. Let j be 4\/18 - (-16)\/9. Suppose 3*x = 5*x - 6, 5*m - j*x = -1. Are m and n nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 609.454228 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 17 + 13. Let o(z) = -z**3 - 7*z**2 - 6*z + 6. What are the prime factors of o(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 8) to base 15\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**6 - 6*f**4 + f**2 - 2*f?\nAnswer: 120*f**3 - 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3255 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13367 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-3)*j**5)**(2\/21)*(j**(-2\/5)*(j*j**(-3))\/j)**(9\/5) assuming j is positive.\nAnswer: j**(-1021\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 24 = 3*l, 5*o - 5*l - 3 = -2*l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t**0*t)\/t*t*t)*t*t*t*t)*t**1)\/(t**(1\/4)*t**(-8)) assuming t is positive.\nAnswer: t**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 - k + k + (2*k + 0*k - k)*(-k**2 + 4 - 4) + (-282*k**3 + 229*k**3 + 296*k**3)*(-4 + 1 + 0).\nAnswer: -731*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 38\/17, 3, 0.5, -1\/11, 3\/2.\nAnswer: -7, -1\/11, 0.5, 3\/2, 38\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 631066 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -96*w. Let l(g) = 2*g. Give l(s(k)).\nAnswer: -192*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259059 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63619622977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.2 + 195328.8415.\nAnswer: 195322.6415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**3*l + 39*g**3*t - 63*g**2 - 6*g*l*t - 2*l wrt t?\nAnswer: 39*g**3 - 6*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - j = l - 6, -j + 18 = 5*l. Suppose 5*f - 6 = l*f. Suppose -f*i = -219 - 210. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 457992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -744 - -1331. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -34. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 11) in base 12?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2800629465 + 0.2153?\nAnswer: 2800629465.2153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**3\/3 + 13*i**2\/2 - 29*i + 463. Calculate p(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*f + 6 - 7 + 52*f + (-5 + 4 + 2)*(-3*f - 3*f - 2*f).\nAnswer: -7*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 596113436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - b4?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhhhhhhhrrr. What is prob of sequence rrrr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43 and 25.\nAnswer: -1075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3867394\/13 - 297736. Let i = b - -244. Let h = 11 - 43\/4. Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(2 + (-110)\/(-20) + -7). Suppose 4*b - 6*b = 0. Solve v = 2*j - 2*x - 14, b = 4*j + 5*x - 4 + 21 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9810 divided by 90.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-6)*q**0)**(-21) assuming q is positive.\nAnswer: q**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, g: 1, h: 1, l: 2, v: 1, y: 1}. What is prob of picking 1 v, 1 g, and 1 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-192)\/(-384) - (-228)\/(-264)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/13542 and -38.\nAnswer: 13542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32104041 + 3?\nAnswer: 32104044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(39)\/sqrt(3) - sqrt(13))*-1)**2 + (sqrt(117)\/sqrt(9) + 4)**2.\nAnswer: 24 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6861 - -2553. What are the prime factors of d?\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2685.6593 + 0.4\nAnswer: -2685.2593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176 divided by -7.\nAnswer: -176\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1415.42t in kilograms?\nAnswer: 1415420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 933869.\nAnswer: -13\/933869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*j + 7, 3*j + 7 + 8 = 3*v. Let r(w) = -4*w - 7. Let m be r(v). Let b = m - -55. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 h when four letters picked without replacement from {q: 5, h: 15}.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 41, 45, 5, 0.5 in increasing order.\nAnswer: 0.5, 3, 5, 41, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -1942*v + 1947*v - 39, x = v - 3 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/20*6*(-10)\/(-4). Let v = 123 - 120. Which is the nearest to o? (a) v (b) 5 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y. Let s(t) = -164*t**2 - 44. Let x(a) be the first derivative of 11*a**3\/3 + 3*a - 25. Let j(n) = -6*s(n) - 88*x(n). Determine m(j(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 13*r - 90*r**3 + 10*r - 96*r**3 + 143*r**3.\nAnswer: -43*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96249534 + 192499151 - 96249617 + i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4784 and 5432.\nAnswer: 3248336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448*h**3 - 555*h**3 + 60*h**3.\nAnswer: -47*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128*d**5 - 184742*d**4 + 10473*d**2 + 6774?\nAnswer: -7680*d**2 - 4433808*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - 0.0245?\nAnswer: -31.0245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13 - 16*v - 4 + 16 + 2830*v**4 + 33 wrt v?\nAnswer: 33960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -1, -9, 3, -7500, -0.4 in ascending order.\nAnswer: -7500, -9, -1, -0.4, -2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, o: 6, d: 1}. What is prob of sequence odto?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256230 and 1755000.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 5*j - 4*j + (j + 2*j - 4*j)*(-5 + 6 - 2) - 4*j - 2*j + 4*j)*(-68 - 51 + 39) - j + j + 3*j.\nAnswer: 243*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3588 and 468?\nAnswer: 10764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2340303101.\nAnswer: 47, 179, 278177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 2*q - 2*q = -0*q + 206, -18*o + 55 = -20*o - 15*q for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**4\/12 + 34*f**2. Let u be r(0). Solve 4*z + u*z = 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-2)*g)**(-1\/13)*g**7\/(g\/(g**(-21\/4)*g)) assuming g is positive.\nAnswer: g**(87\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*-1*(30\/(-14))\/(3150\/13230).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -87?\nAnswer: 4\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7836260 and 10?\nAnswer: 7836260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - -14) + (3 - 16).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6fa (base 16) to base 10\nAnswer: 1786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12141 and 24992.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -10*g. Let t(y) = 8481*y - 4300*y - 4275*y. Give l(t(a)).\nAnswer: 940*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h - 8. Let f be (-8)\/36 - ((-11)\/9 + 0). Let j(v) be the first derivative of v - 1. Let l(m) = f*s(m) + 4*j(m). Differentiate l(r) wrt r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 1:56 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -289 + 385. Suppose -9*j - t = -15*j. Solve -j*c = -6*c - 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624 is divided by 49?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74184 and 9072?\nAnswer: 28041552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (15 + (14 - 23) + 2 + -43)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 308093207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 5*l**2 - 2*l**2 + 0 + 0 - l**2 + 2 - 2*l**2 - 2 + (5*l + 0*l - 3*l)*(-l - 2*l + 2*l) + 2*l + 0 + l**2 + 0)*(-2 + 2 - 1).\nAnswer: l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 234366350?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2 - q**2 - 5*q**2. Let u be 2 + 1*(1 - 1). Let d(n) = 0*n**u + 6*n**2 - 5*n**2. Give d(t(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 48. Let t be ((-246)\/4)\/(p\/36). Let j = t + 74. What is the second biggest value in j, 0.5, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, l: 1, c: 5, j: 1, t: 3}. What is prob of sequence mlj?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 n, and 1 z when four letters picked without replacement from nngngdzngdzg?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*y - 2*u - 196, -575*y = -577*y + 10*u - 7*u - 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(48)\/sqrt(6)*-2)*5 - ((sqrt(110) + (sqrt(110)*2 - sqrt(110)))\/sqrt(10) + -4 + sqrt(11) + sqrt(11) + 3).\nAnswer: -13*sqrt(11)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from vihllqi?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/5 - 12*k**3\/5 - 21*k**2\/5 + 98*k\/5.\nAnswer: -k*(k - 2)*(k + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30469349\/7508 - 16233\/4. Let t = q + 30014\/16893. Let -28\/3*m**3 - 4\/3 - t*m**4 - 76\/9*m - 44\/3*m**2 = 0. Calculate m.\nAnswer: -3, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -717*u. Let w(j) = -3*j**2 - j - 1. Let y(v) = 4*v**2 + v + 1. Let i(m) = -2*w(m) - 2*y(m). Determine i(l(k)).\nAnswer: -1028178*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2743*d**2*r**4 + d**2*r - 13*d**2 + r**5 + 539*r**2 wrt r?\nAnswer: -65832*d**2*r + 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 346, -1, -41, -84 in descending order.\nAnswer: 346, -1, -3, -41, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.9 + -8. Let r = m - 0.3. Let l be 12\/6*(-1)\/11. What is the second biggest value in l, 5\/4, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -3*h - y - y, y = 3*h - 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 506702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((78\/56)\/13)\/((-4)\/(-14)). Suppose 0 = -4*h - 3*y - 3, 0 = -4*h - 4*y - 4. Let b be (-1 - h)\/(0 + 1). What is the closest to b in x, 5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*n + 8 = g + 31*n, -3*n = g - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i + 30 = 13*i - 5*n, -2*n = 6*i - 7*i - n + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 3226.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 104 + 1305?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3297223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qacaadqaaaqqcqccccc. What is prob of picking 3 q?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5571 + 12?\nAnswer: -555a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-144)\/90)\/(3*(-4)\/90). Suppose p + 25 = t*l - 7*l, 5*l - 10 = -2*p. Find the first derivative of 7*o**l + 14*o**4 + 121 - 87 wrt o.\nAnswer: 84*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1311336 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15652.784646 rounded to one dp?\nAnswer: 15652.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/(-15))\/(6\/(-15)). Suppose -o + w = -9, -o = k*o - 2*w - 42. Which is smaller: o or 9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*q + 9. Suppose 3*g = -k - 0 - q, 3*g + 3 = -4*k. Let s = 1 + k. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-8)*v**(-6\/13)\/v*v*v*(v\/(v**(1\/2)*v))**(-2\/11))**(1\/3))**(-13) assuming v is positive.\nAnswer: v**(1054\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1 (c) -2 (d) -8\/9 (e) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 102, 104, 106, 108, 110?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 - -109 - 6 - (8 + 2 + -4).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 12. Let r be q(-10). Solve i + 10 = 5*i - r*w, 3*i + 4*w + 20 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -0.157 (c) -1\/6 (d) -1\/7 (e) -424\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqu when three letters picked without replacement from {d: 5, u: 3, q: 3, g: 2}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2615046 - 17.15925.\nAnswer: -2615063.15925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 1:40 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -67, 57741, 11?\nAnswer: 57741","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.45 - -0.26. Let w be (2\/(-20))\/(79\/15 - (-650)\/(-130)). Put 0, c, w in increasing order.\nAnswer: w, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-189))\/(-4) + (-124)\/(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 3. Let d = 9460 + -5032. Suppose p*h + d = 10976. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3120)\/(-988))\/(-30) + 120\/57\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -128\/7 (b) 2\/5 (c) 1\/9 (d) 32586 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 5. Let c(v) = 2*v - 11. Let b(f) = 6*c(f) - 13*j(f). Let u(t) = t + 1. Give -3*b(d) - 4*u(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 0*d - 32. Let z be -40 + 7 + (2 - 2). Calculate the lowest common multiple of (18\/(-10))\/(z\/110) and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11038, 22076, 33114, 44152, 55190?\n\"Answer: 11038*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -2.2. Let w = -0.06 - 1.94. Let f = w + t. What is the smallest value in -1, f, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**5 + 50*o**3 + 25*o - 4.\nAnswer: 60*o**3 + 300*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -454? (a) 2\/19 (b) 4 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-4*v**5 + 0*v**5 + 2*v**5) - 3*v**5 - 3*v**5 + 4*v**5 - 2*v**4 + 2*v**4 + 3*v**5.\nAnswer: -v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6016, -12072, -18128, -24184, -30240?\n\"Answer: -6056*j + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 263*h - 1 + 96*h - 175*h.\nAnswer: -342*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.638 (b) -10699 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10199 is divided by 5092?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-6)\/(-2))\/(-66)*2370\/(-270) and 119\/198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-7 - -5) + (20 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16236 != 3\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -7 - 123. Let k = -20 - r. Suppose 2*b - 4*b + 54 = 4*m, 3*b = -m + k. Calculate the remainder when 57 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 525952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*k**4 + 22*k + 1 + 3*k**3 - 24*k**4 + 48*k**4 - 4*k**2 to the form s*k**4 + q + n*k**2 + g*k + f*k**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 6:27 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -43*s**3 - s**2 + 1. Let z be b(1). Let g = 68 + z. Solve -15 = 3*h + 3*c, -3*h - 5*c = -h + g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1715410 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + 1*sqrt(605) + 0)**2.\nAnswer: 88*sqrt(5) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**2 + 0*s**2 - 3*s**2 + (3 - 1 - 4)*(2*s**2 - 5 + 5) - 8*s**2 + 8*s**2 + s**2 - 3*s + 3*s - 2*s**2 as j*s**2 + f + k*s and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-31)\/((-682)\/(-22)) - (1 - 9542). What is the highest common divisor of 90 and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 14. Let w be l(-12). Let u(z) = -z**2 + 5*z + 12. Let h be u(w). Suppose 5*j - 4*o - 162 = 0, -2*o - 41 + 215 = 5*j. Sort h, 4, j.\nAnswer: h, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/35680 - -35787061\/249760. Let o = w + -143. What is the closest to o in 0.2, -3\/2, -5\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 50 = 5*h, 0 = -10*h + r - 2830 + 2809 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/16855 (b) 0.16 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 22 = 2*j - 18, -4*t - j = -125. Calculate the greatest common factor of 120 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1517 - -1534. Solve c + 3*u + 12 = 0, -5*c + 42 = -2*u + g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - u + 91*u + 3 + 202*u.\nAnswer: 292*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, 211, 214?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 0*m**2 + 0*m**2)*((5 - 2 - 4)*(-m + 2*m + 4*m) + 0*m - 5*m + m).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p = 170 + 68 - 150. Suppose 4*t - 8 = 3*t. Suppose -y = y - t. Solve -5*g = -3*h + 27, -2*h - p + 0 = y*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 236 (c) 1\/6 (d) 1\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -97*u**2 + 60. Let x(k) = -837*k**2. Give l(x(j)).\nAnswer: -67955193*j**4 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1841\/3 - 612. Let v be (-12)\/(-4) - (-7 - -2). Let u = -6 + v. Which is the second biggest value? (a) 4 (b) -1 (c) y (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -751b2 - -449?\nAnswer: -74965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjccwkjcrwgg. What is prob of picking 1 c and 1 j?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -456\/7 - -65. Which is the second biggest value? (a) 3\/7 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 21, 33, 5 in ascending order.\nAnswer: -4, 5, 21, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 + 1.08. What is the biggest value in 5, -0.3, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 64, 92, 120, 148, 176?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -118*w + 828. Calculate p(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 212, 57, 4, 3 in ascending order.\nAnswer: 3, 4, 57, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1204897 is divided by 11698.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4437594 a multiple of 1051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 60 = -4*l + 3*l, 10 = -2*l. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 40*x**2 + 23*x + 1464. Is d(-25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/9 + 20\/9. Let o be 2*1 - (-2)\/f. Let z be 6\/8 + (-525)\/(-20). What is the highest common factor of z and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -14. Let v(t) = -3 + 8*t - i - 6*t. Let w(c) = 3*c - 7. Suppose 4*b - 4*y = 6*b + 4, 0 = 3*b + y - 14. Calculate b*v(j) - 5*w(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136540752 by 30642.\nAnswer: -4456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 54833, 54834, 54835, 54836, 54837, 54838?\n\"Answer: i + 54832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -81, -126?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.75 + 3.99. What is a rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -1887\/10?\nAnswer: -1887\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 10121888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.12, -1\/3, -5, 25\/2 in decreasing order.\nAnswer: 25\/2, 2, 0.12, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3651*b**3 - 10*b**2 + 5*b - 10. Let n(h) = 1330790*h**3 - 3646*h**2 + 1823*h - 3646. Determine -5*n(r) + 1823*u(r).\nAnswer: 1823*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrraaarararrrr. Give prob of picking 2 a.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -17 + 26 + (-15 - -2) + -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 535007 (base 8) in base 4?\nAnswer: 223220013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20348 - 20353. Let m = -2 - -11. Let f be (-10)\/3 + 3\/m. Sort f, o, 3 in ascending order.\nAnswer: o, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32663232 by -259232.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.28079451+2207\nAnswer: 2207.28079451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -392, -1307, -3086, -6017, -10388?\nAnswer: -16487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 + 7*d**2 - 8*d - 8. Let b be (-18)\/24*-6*(-16)\/18. What is a(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**5\/20 + 3*z**4\/4 + z**3\/6 + 4*z**2 + 128*z - 1. Give b(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 15\/(-8) + 4\/(-32).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/18*-3*0. Solve -3*o - 22 + 7 = l for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g + 48*g - 56. Put 25, 0, 4, g in ascending order.\nAnswer: 0, g, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 12*j = 189. Suppose 0 = 3*f + j - 39. Solve 2*u + 3*k = -k + 10, f*k = 3*u - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 14*o**3 - 10*o**2 - 8. Let c(s) = -9*s**3 + 7*s**2 + 5. Let y be -11 - -4*(-6)\/(-8). Give y*c(k) - 5*v(k).\nAnswer: 2*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000074298 rounded to six decimal places?\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 4*j + 2. Let d be t(5). What are the prime factors of (d - -18) + 3 + -1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -2044430.\nAnswer: -2044426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26472 and -2.\nAnswer: 52944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m = 0. Let x = -1 - -1. Suppose 2*b = -x*b + 6. Solve -i + m*g = -b*g - 6, i - g - 4 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1249101207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4363271?\nAnswer: 11, 17, 23333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-1)\/(4\/(-6594 - 6)) and 20?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*c = -0*c - 71, -2*o + 142 = -3*c. Find the third derivative of o*n**2 + 20*n**3 - 152*n**2 + 50*n**2 wrt n.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 139*w**2 + 4. Let a(f) = 33777*f**2 + 973. Let s(u) = -4*a(u) + 973*k(u). Let m(q) be the second derivative of q**4\/12 - 67475*q. Give s(m(t)).\nAnswer: 139*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 18*m**3 - m**2 + 2*m - 1. Let o be u(1). Let s(h) = h**3 - 18*h**2 - h + 26. Let z be s(o). Solve 0*d + x = d, z = -d + 3*x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-5))\/(8\/(-220)). Let n(p) = -p - 13. Let v(i) = 3. Let l(s) = -n(s) - 4*v(s). Let j(z) = 12*z + 13. What is o*l(c) + 2*j(c)?\nAnswer: 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) -1\/2 (c) 11.9 (d) -15.4 (e) -2 (f) 0.13 (g) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 7*r - 17. Let i be c(11). Differentiate -4 + i - 1 + 11*g wrt g.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29040 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -3\/16072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3340, -3069, -2796, -2521, -2244, -1965, -1684?\nAnswer: -1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 123*l**2 + 201*l + 24775. Let f be h(-123). Let y(j) = 8*j - 5. Let q be y(7). Is f != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 370 + -361. Solve 3*p + 0 - c = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7447 divided by -7\nAnswer: -7447\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040135 to 3 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/2 and 31\/1220.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -10*p**3 + 188*p**2 + 2*p - 1. Let r(q) = 14*q**3 - 189*q**2 - 3*q + 3. Calculate 2*r(y) + 3*s(y).\nAnswer: -2*y**3 + 186*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5\/4 - 38583*a**4 + 1003231*a**3\/2 - 887481*a**2 + 1697795*a\/4 = 0 for a.\nAnswer: -154345, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13745890?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (8\/2 + -2). Let c(k) = 2*k**2 + 4*k - 1. Let y be c(j). Let x(n) = 18977*n + 2. Let q be x(0). Solve q*m - m = 0, m = y*l - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74*m**2 + 3*m - 237.\nAnswer: 148*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 633923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (15 + 5 - 44).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 19*u**2 - 42*u + 7. Let j be r(-21). What is the closest to -6\/7 in 0.5, j, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*n = 196*n - 9. Suppose -5*b - 50 = -p, -n*p = -3*b + 19 - 121. What is the least common multiple of 30 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -228 or -0.2?\nAnswer: -228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -11. Put 4, 1, u in ascending order.\nAnswer: u, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 111132 - -4619. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25*(-7)\/70*1*-2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**3 + 10*t**2 + 21*t + 18. Determine r(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.217861 + -0.22374. What is o rounded to 5 dps?\nAnswer: -0.00588","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2635 + (3 - 5) + 7. Let c be (x\/(-26))\/10 + (-4)\/(-26). List the prime factors of -2*(-5)\/c*-97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*g - 133 + 133 - 319*g to the form s + r*g and give r.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**3 - 3*v**2 + 2. Let g(t) = -5*t**3 + 4*t**2 - 2. Suppose 6*d + 5 = 5*y + 2*d, -3*y + 5*d = -16. Determine y*g(j) - 4*q(j).\nAnswer: -j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2170 and 9610.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*x + 4, 4*x = -3*o + 4*o + 8. Suppose 0 = -4*g - 16, 34 = 3*f - x*f - g. Let s = f - 14. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/57 and (-288)\/(-38) + -3 - 3?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 59*u - 60*u + 5 - 3*u - 5 + (0 - 2 + 1)*(-5*u + 0*u + 4*u))*(-3 + 3 + 3).\nAnswer: -375*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61435)\/(-4468) - 13\/(4 - 3).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**6\/80 + 7*p**5\/40 - p**4\/2 - 4*p**3 - 2*p**2. Factor c(v).\nAnswer: -3*(v - 4)**2*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267952598.\nAnswer: 2, 133976299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 174129808 divided by -4?\nAnswer: -43532452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1029*y = -5067 + 17415 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*w + 14 = -14, -5*p = 5*w. Let l be (6\/p)\/((-9)\/24). Solve l*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y. Let l(g) = 2*g + 114510. What is l(h(x))?\nAnswer: 2*x + 114510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 74 - s**3 - 9*s + 94 - 169 - 350*s**2 as w + u*s + a*s**2 + t*s**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 5*n + 1. Let c = 1 - 1. Suppose -5*g = 5*u + 5, c = -u - 0*g - 4*g - 10. Suppose 4*q = -u*v - 12, -3 = 2*q - 3*v + 11. What is a(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) 1\/4 (c) -3 (d) 88 (e) 0.5 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 635*u + 3162 = 36817 for u.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 24. Solve -5*w - 2*v + 7*v - 5 = 0, 0 = -4*w + 3*v - q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011100 (base 2) to base 13\nAnswer: -c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 3413151*c + 27305141. Give b(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -7 - (54 - 36)) + 0 + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 8:45 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -92, 5, 3 in ascending order.\nAnswer: -92, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -30*y**4 + 175*y**3 - 265*y**2 + 95*y. Let f(g) = 5*g**4 - 29*g**3 + 44*g**2 - 16*g. Let d(l) = 25*f(l) + 4*j(l). Factor d(p).\nAnswer: 5*p*(p - 2)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 784\nAnswer: -1\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8320 - 13350. Round i to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3178*n**3 + 26*n**2 - 77 wrt n.\nAnswer: -19068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -816*(51\/12 - 5). Factor 4 + 8974*b**2 - 76*b - v*b + 20610*b**2.\nAnswer: 4*(86*b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1489 is divided by 372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6186\/27 + 4\/(-36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1022 > -1022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*c**4*n**3 - 16260*c**3 + 1177*c**2*n + 9*c**2 - 22*n**3 - 3*n**2 wrt c.\nAnswer: 1656*c*n**3 - 97560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7551 = 9*x - 11889. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 157, 607, 1343, 2353, 3625, 5147?\n\"Answer: -2*b**3 + 155*b**2 - b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3553076*u**3 + 4*u**2 + 150167087*u wrt u.\nAnswer: 21318456*u + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d + 2*d - 3*d - d + d + 4*d + (-6*d + d + 4*d)*(-2 + 5 - 1) + d + 2*d - 5*d + (5 - 3 - 3)*(4*d - 4*d - d) to u*d + g and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -64418 (base 13) in base 16?\nAnswer: -2c273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, 3.5, 22?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -16. Suppose -4*a - 12 = v, -4*k - 5*a + 139997 = -4*a. What is k rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4016254 + 0?\nAnswer: -4016254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -u - 0*w - 5*w, -4*w + 300 = u. Calculate the remainder when u is divided by 107.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-651)\/62*236\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t + 10*t**2 - 5*t + 10 - t**3 + 8*t. What is the remainder when 28 is divided by p(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 0.4 (c) 0.5 (d) 90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3*((-346)\/4 + -2). Let j = -1 + h. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3263882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 - 6*p**2 - 6*p + 2. Calculate r(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220 (base 9) to base 15.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 36284 - -6\nAnswer: 36290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*q - 113 - 615 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 3 + 2*l - 2*l + 18. Is o(0) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 7595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -160?\nAnswer: -7\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8*v + 6. Let q be n(-6). Let k be ((-8)\/q)\/((-2)\/3). Let w be 1*(2 + -3) - -1. Which is smaller: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h + 31. Give p(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2132*z - 4. Let g be c(-3). Round g to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*h - 40 = 199*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 8008?\nAnswer: -1\/8008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -0.15.\nAnswer: 1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 times -0.59?\nAnswer: 17.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -1701e1?\nAnswer: -1701dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/369986 and -37\/64.\nAnswer: 11839552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.00278 - -0.00278. Which is the fifth smallest value? (a) -2\/11 (b) 4 (c) -2 (d) 0.01 (e) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11982743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (3 - (1 - -2)) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q - 14. Let z(j) = -3*j - 6 + 1 + 2 - 6. Calculate -5*c(y) + 8*z(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from {s: 1, t: 1, e: 1, i: 1, l: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -3, 2.\nAnswer: -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 45 + -3 + 3. Suppose -7*h - 5 = -m. Suppose -10*g - h = -12*g. Solve 0 = g*r + 4 + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21.99996 + -22. What is b rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*d**3 + d + 319 wrt d.\nAnswer: -168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, 12, 30, 66, 126, 216?\n\"Answer: w**3 - w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/169509 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 41185490 to the nearest 10000.\nAnswer: 41190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 5\/2, 4, 0.4, -309120?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 6. Let d be h(6). Suppose -7*k - d*k + 247 = 0. Calculate the remainder when k is divided by (-11)\/(-2) - (-1)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 7*x**4\/4 - 8*x**3\/3 - 5*x**2\/2 + 7*x - 1. Suppose -i + q = 2 - 9, -13 = -3*i - 5*q. Is s(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 4*q**2 + 6*q + 11. Let y be g(-5). Solve -5 = -z - y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20098.2 - -20098. What is the fourth biggest value in 40\/29, a, 4, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37557 by -3.\nAnswer: -12519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + -0.3. Let j = r + 5.5. Let a = j - 4.99994. What is a rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*d - 87*d - 468 = 0 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-444)\/(-9) + 1\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63120 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 576 and 3630400?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 0. Let r = 0.281 - 0.031. Let t = r + -0.25. Which is the nearest to -1? (a) 5 (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/15 - (-21)\/(1449\/(-46))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2. Let d(g) = g**2. Let x(q) = 9*d(q) + 4*j(q). Let c(l) = -6829*l + 13653*l - 6849*l. Give c(x(f)).\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 155 = 7*w, 308*w - 310*w = -5*i + 643. What is the nearest to -1 in -4, i, -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.93, -9.1, -715, -2\/13?\nAnswer: 4.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6\/11)*n**(-1\/7))\/(n**(2\/25)\/(n*n**(-17)*n)) assuming n is positive.\nAnswer: n**(-30354\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - d**2 + d + 18. Let h(l) = l**3 + 19. Let r(x) = -3*h(x) + 4*m(x). Let j be r(7). Calculate the greatest common factor of j and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + l**2 + 6*l - 7. Let s be r(3). Let c be 2\/(s\/4 - -2). Let q(u) = -760 + 760 - c*u. Let h(b) = -3*b. Give q(h(x)).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-64)*-3)\/(27\/12).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*t - 12 = -0, 3*t + 9 = -5*m. Let b(a) = a**3 - 3*a**2 - 2*a - 3. Let p be b(4). Sort 2, p, m.\nAnswer: m, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - c - 418368*c**2 - c + 418379*c**2 in the form p + d*c**2 + r*c and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -794*b**3 - b - 541.\nAnswer: -4764*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19101199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38559?\nAnswer: 3, 12853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2417.\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/825, -0.023, 2\/3, -117?\nAnswer: 2\/825","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1048 - 504. Let c = -527 + u. Solve 12*m - c*m = -20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10518753 to the power of 1\/2, to the nearest integer?\nAnswer: 3243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((-1 + sqrt(847) + sqrt(847))*-2 + -5 + -3*sqrt(847))*-3)**2.\nAnswer: 3234*sqrt(7) + 373576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h + 20 = y, -4*y - 5*h = -80. Suppose -45*p + 35*p = -y. Factor -1\/2*f**p + 0 + f + 1\/2*f**5 + 1\/2*f**4 - 3\/2*f**3.\nAnswer: f*(f - 1)**2*(f + 1)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -380.5394 rounded to the nearest integer?\nAnswer: -381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -26. Let l be 16 + -12 - 1\/((-2)\/r). Let z(u) = 2*u - 8. Calculate z(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yooy when four letters picked without replacement from {l: 1, y: 3, o: 16}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 7.5. Let y = 0.04 + 1.96. Let p = -2 + y. What is the nearest to p in 4, t, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8570 divided by -4.\nAnswer: 4285\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-2\/17)\/l*l)\/(l*l**(-6)\/l))**(3\/5))**17 assuming l is positive.\nAnswer: l**(351\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j - 28*j = 3*z - 67, -j = 5*z - 21. Solve -4*g + j = 0, q + 2*g = 6 + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**3 + 774*q**2 + 31*q - 778*q**2 + 2*q**3 in the form y*q**2 + c*q**3 + w*q + h and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*f + 40, 0 = -k - 5*f - 0 - 20. Let r(x) = -x**2 - 20*x + 4. Let j be r(k). Solve -5*c + 15 = -0*q - j*q, -3*c - 13 = 2*q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.77 times 1443?\nAnswer: -1111.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5963.\nAnswer: 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54087 is divided by 2003?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 4006088.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**2 - 5 + 6 + 4*z**2 - 13*z**2 in the form g + j*z + d*z**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6112191*o**3 - o - 6347?\nAnswer: -36673146*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*d = 1854, t - 5*d + 0*d - 1836 = 0. Suppose -3*l + 15657 = -5*a + t, -l - 3*a = -4585. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 75 - -c5?\nAnswer: 15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/n**(1\/18))*n**7*n\/(n**21*n)*n*n\/n**(3\/14)*n assuming n is positive.\nAnswer: n**(-703\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 98 = 2*o, 0*i - 4*i = 3*o - 101. Let y = o + -35. Suppose 0 = s - y*x + 19, 5*s - 2*x = -6*x + 25. Is s at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38633*j + 39433*j = 60800 for j.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/16)\/5*10628\/236473.\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**2\/k)\/k))**(6\/35)\/(k**(-2\/7))**4 assuming k is positive.\nAnswer: k**(46\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*u + 65*u = 6, -5*u + 15 = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**5\/15 - u**4\/4 + 4*u**2. What is the second derivative of m(w) wrt w?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/5 - (-2)\/5. Let h be 135\/(-12)*(-112)\/(-21). Let s be ((-8)\/490)\/(h\/150). Is s greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.8 - -197517.68\nAnswer: 197499.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 11 = 2*v, -13 = -3*u + 2. Let a be v*(6 + -2 + -5). Is a at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1886656907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115444 and 12028.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 2*v - 14. Let p be (-2)\/(-4) + (-13)\/2. Let n(c) be the first derivative of -c**2\/2 + c - 1607. Let o(t) = p*n(t) - h(t). Calculate o(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004591925 to 6 decimal places.\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 45 in increasing order.\nAnswer: 3, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1825 - -11067. Is 50\/(-20)*s\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1282?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -17*a**5\/60 + 8*a**3\/3 - 2*a**2. What is the derivative of v(i) wrt i?\nAnswer: -34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41367 is divided by 41357.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 2 = -5*h. Sort 0, h, -1 in decreasing order.\nAnswer: 0, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 - 4*u**2 - 3*u. Let a be b(-2). Suppose -5 = o + a. Let t(d) = d**2 + 5*d + 8. Is t(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.09 or -33886?\nAnswer: -33886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318*h + 5 = 323*h, z + 5*h = -90. Let g be (-1870)\/8*2\/5. Which is smaller: z or g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 + 74*p - 29. Let k be t(39). Put -2, 5, k in increasing order.\nAnswer: k, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 179, 0.11, -5, -0.1 in ascending order.\nAnswer: -5, -4, -0.1, 0.11, 179","meta":{"dup_signals":{},"source":"comparison__sort_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: Convert 42c3 (base 16) to base 2.\nAnswer: 100001011000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5\/3 - 10*h**4\/3 - 16*h**3\/3 - 8*h**2\/3 = 0. What is h?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -8, -5, -1, -11 in ascending order.\nAnswer: -11, -8, -5, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + ((-36 - -12) + -2 - -11) - (7 + -2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(156)*2 - sqrt(156)))\/(sqrt(768)*-4).\nAnswer: -3*sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + (sqrt(252)*1)**2 + -4 - sqrt(252))*3*-6*-4.\nAnswer: 17856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 1:20 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -544 or 2\/7?\nAnswer: -544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73035 or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106975?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 2542574854221.\nAnswer: 2542574854219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2900884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*p**3 - 139*p**2 - 3*p + 76590 wrt p?\nAnswer: 36*p**2 - 278*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.393 - -0.053. Let b = v + -0.66. Which is bigger: 8 or b?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (12 - (-10 - -20)). Solve -5*v + 3*t - 2 = 0, j*v - 1 = 4*v + 2*t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 14*u**3 + 3*u**3 + 5*u**3 - 7*u + 8*u**3.\nAnswer: 2*u**3 - 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151323 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.5142 and -466.\nAnswer: 5365.6172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 51*t - 219. Give s(31).\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/70799 and 11\/664.\nAnswer: 566392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -120 - 1\/3*g**4 - 127\/3*g**2 - 19\/3*g**3 - 119*g.\nAnswer: -(g + 3)**2*(g + 5)*(g + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 8 + 8)*(-106*r + 1645 - 1645)*(2 - 7 + 4).\nAnswer: 106*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x + 3. Let w be j(3). Let a(l) = -19 - 75*l + 42*l + 36*l. List the prime factors of a(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sksk when four letters picked without replacement from jxssjsskjxjxsxxksx.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 + 36. Let t(h) = -h**2 - h - 1. Let m be t(-1). Let r be 1*(6 + -4 + m). What is the third smallest value in s, -1.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 11*r + 8*r - 5*r as t + w*r and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3227 - -3230. Let j = -2.9 + 3. Which is smaller: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376*g + 395*g - 412 - 728 = 0. Let f(v) = 15*v - 3. Calculate the lowest common multiple of g and f(3).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46382850 a multiple of 885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 - 249 + 125 + 11*w**2.\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -5.81. Let w = h + -0.18. Let y = -0.073 + w. Round y to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31143 and 20937?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 343*w**2 + 127*w**2 - 173*w**2 + 388*w**2.\nAnswer: 685*w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88*h**2 - 125*h**3 - 5*h**5 - 80*h + 5*h**3 + 35*h**2 - 40*h**4 - 107*h**2.\nAnswer: -5*h*(h + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**3 + 656884884*o**2 - 35958145902307788*o = 0.\nAnswer: 0, 109480814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 536767531 to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 57049?\nAnswer: -3\/57049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1302076 (base 8) in base 10?\nAnswer: -361534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*v**3 - 278*v**2 + 106*v - 5350861 with respect to v.\nAnswer: 141*v**2 - 556*v + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 650 or 770?\nAnswer: 770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ac13 (base 15) to base 8.\nAnswer: -107164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**8\/1344 + j**6\/120 + j**5\/120 - j**4\/32 - j**3\/12 + 20*j**2. Let l(q) = 0. What is q?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/21)\/2*12\/12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1958813, 3917842, 5876871, 7835900, 9794929, 11753958?\n\"Answer: 1959029*g - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 13*s - 183. Let a be w(13). Let c = a + 411. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**34\/u*u)\/((u**(-1)\/u)\/u) assuming u is positive.\nAnswer: u**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108249 and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57382727116 + -3.\nAnswer: 57382727113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6191*n**4 + n**3 + 15138*n**2.\nAnswer: -148584*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28490 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2654 divided by 2654?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 806.5238ng in tonnes?\nAnswer: 0.0000000000008065238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -10400\/21 greater than or equal to -495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + d + 2*d)*(-6*d**2 + d**2 + 3*d**2) + 2*d**3 + 2 - 2 + (0 + 0 + d)*(2*d**2 - d**2 + d**2) + d**3 + 0 + 0.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 3*v - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*b**4)*(-3*b + 3*b + b) + (2*b**3 - 3*b**3 + 2*b**3)*(-10*b + 0*b - 3*b)*(-3*b + 52*b - 6*b).\nAnswer: -557*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0716605 nanograms in micrograms?\nAnswer: 0.0000716605","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -317 - -316.7. What is the second biggest value in 0.2, s, -2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - i - 10. Let k be u(-4). Suppose -5*t + k = 0, 3*o + 2*t = -0*t + 109. Let h = 2 - -5. Calculate the greatest common divisor of h and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 316472 and 716584.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (120\/54*-1)\/((-2010)\/(-7236))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 - -3. Suppose 8*c = 4*c + 24. Suppose -c*x = -x - q. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z + 1. Let t(q) = -15*q + 5. Determine -11*g(y) + 2*t(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -2131323213020?\nAnswer: 2131323213013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 5:03 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6318 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c + 11*c + 2*c**3)*(0*c - c - c + (-46*c + 22*c + 20*c)*(2 - 5 + 1) - 5*c + 2*c + 5*c).\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a74 + 4?\nAnswer: 1a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-2 - 2) + 6 + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 1\/5 (b) -4 (c) 2\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 + -110002330100?\nAnswer: -110002323310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 3\/2059498 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24370591 by -35.\nAnswer: 3481513\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-3\/11))**41\/((d*d*d**0*d)\/(d*(((d\/(d**(-2\/3)\/d))\/d)\/d)\/d*d)))**(46\/3) assuming d is positive.\nAnswer: d**(43240\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*o = 520, -5*s + 805 = 2*o - 49. What is the remainder when s is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {j: 2, n: 1, z: 1, g: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 1. Let s(k) = -16*k**3 - 48*k**2 - 48. Determine -48*p(z) - s(z).\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 4)*(64*j - 51*j - 72*j) to the form n + k*j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -943 = 59*w + 3069 for w.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (0 - 5) + -1 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ef + -4?\nAnswer: 1eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4656 - -5?\nAnswer: -4651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5291428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10268*i**4 - 7384 wrt i?\nAnswer: 41072*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4)*a**(-1\/3))\/(a\/(((a*a**(1\/2))\/a)\/a*a))**(2\/55)*(a**(-15)*(a**(-2\/5)*a)\/a)**(2\/13) assuming a is positive.\nAnswer: a**(-21199\/8580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 10*u - 2. Let k be v(3). What is the greatest common divisor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*554\nAnswer: 2770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264367095?\nAnswer: 3, 5, 17624473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6*g**2 + 72*g - 179. Give t(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k = -28. Suppose 3*i + 5*p - 25 = 0, 4*p = 4*i + i + 20. Let m be i\/(-1) + 2 - (-10)\/2. Calculate the greatest common factor of k and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/3129255 and 26\/3129255.\nAnswer: 3129255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -0.5 (c) 0.4 (d) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9393.76499556 + -9393.528. Let h = -0.237 + g. What is h rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003714 to 7 decimal places.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3142154 + -5?\nAnswer: 3142146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/2*(-1264)\/(-72)*-6.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*a + 52*a = 20. Put a, 14, -5 in decreasing order.\nAnswer: 14, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -153, 6.\nAnswer: -153, -4, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.48094587 rounded to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60948701139\/4270 - 14273718. Let y = -2\/2135 + l. Find the common denominator of y and ((-218)\/(-48))\/(2\/8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 7*o + 5*o + 2*o.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2186 + 3685. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 9*d**2 - 5*d - 11. Let r(m) = 2*m - 17. Let t be r(4). What are the prime factors of y(t)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q - 2. Let u be t(1). Let n(k) = 3*k + 21. Let s be n(u). Solve 2*b + 20 = s*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 135 + 1411?\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 3665\/260 + -6*(-3)\/117\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-39)\/(-297) + 262\/(-22) + 12. Factor 0 + d*b**2 - 8\/9*b.\nAnswer: 2*b*(b - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d = 27*d. Solve -5*k + a + a = d, 2*k = -a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.19 (c) 14\/15 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 5. Suppose 3 = 3*z - 3, -4*y - 5*z - 210 = n. Let h = y - -124. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-42))\/((-25)\/(-15)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (2 + 1635\/(-315)). Factor 4\/21*m**2 - h - 2\/21*m**3 + 2\/21*m.\nAnswer: -2*(m - 2)*(m - 1)*(m + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/101 (c) -82 (d) -2\/11 (e) -2\/5 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69718 + 105752. Let o = 87034 - a. Round o to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 12:48 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17289?\nAnswer: 3, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 12:07 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 (base 15) in base 2?\nAnswer: 1110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.4 rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 + 4*c - 15. Let s(x) = -x**2 + x + 1. Calculate -3*s(d) + t(d).\nAnswer: d**2 + d - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -7. Suppose -2*r + 4 = -6. Calculate the lowest common multiple of h and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -181.\nAnswer: -181.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1482.697 from 0.0104382.\nAnswer: -1482.6865618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h. Let n(d) = 32*d**2. What is p(n(t))?\nAnswer: 224*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-378)*-24*(-15)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 1. Let p(h) = -4*h + 98. Let a be p(25). Let b(k) = -2*k + 2 - 4 + 8*k**2 - 12*k**3 + 8*k**3. Let t(j) = a*g(j) - b(j). Factor t(s).\nAnswer: 2*s*(s - 1)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 5*j - 5. Let s be u(-5). Let o(a) = -a**2 - 6*a - 3. Calculate the least common multiple of o(s) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 2*w**2 + 5*w**2)*(-w**2 + 3*w**2 - w**2) + w**4 - 4*w**4 + 5*w**4 + (0*w - w + 0*w)*(0*w**2 + 3*w**2 - 2*w**2)*(-208*w + 418*w - 176*w).\nAnswer: -30*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -20*z**3 + 8*z**2 - 14*z - 4. Does 12 divide d(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millisecond in nanoseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 9) in base 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 30*o - 27. Determine k(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8472884 divided by 196.\nAnswer: -43229","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.3? (a) 4 (b) 6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184216 - 42807 + 352024 + 213925 - 2*z.\nAnswer: -2*z + 707358","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(3\/11)*y\/(y**14\/y))\/(y**12\/y*y**(-2)))**8 assuming y is positive.\nAnswer: y**(-1736\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*f - 6*f - 37*f + 3*f to m*f + s and give m.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-22 - 1*-2). Suppose -2*q + 4 = 5*j + 14, -4*q = -j - 2. Suppose 14*g + 14 - 84 = 0. Solve -g*k + q*k + x = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42925390?\nAnswer: 2, 5, 31, 138469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(4\/5)\/k**(-1))\/(k**(2\/17)*k*((k**(5\/3)\/k*k)\/k)\/k*k))**15)**(-20) assuming k is positive.\nAnswer: k**(-80\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 692 and 535026028?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 11853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**3 + 6*o**3 - 2*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 + 68. Let m = 0 - -8. Let t = m + x. Sort 2, t, 3 in ascending order.\nAnswer: t, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 9:17 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78.7 - 75.7. Let i = 269\/825 - -2\/275. Sort 0.18, i, -2\/7, y in ascending order.\nAnswer: -2\/7, 0.18, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 11*t**3 + 12*t + 15 - 42*t**3 + 11*t**2 + 11*t**3 + 21*t**3. Let r be 0 + 3\/(-1) + -7. Give f(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1997772 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(114)*6)\/(sqrt(96)*3).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*y**4 + 373*y**3 + 6500*y**2 + 21257*y + 3364 = 0. What is y?\nAnswer: -29, -4, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91.3 + 26.3. Let v = -66 - j. Which is the nearest to v? (a) 5 (b) -1 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2054963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - -7 - (30 - 22). Solve -v - 3*n = -6*n - 12, o = -v + 2*n + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiiarrlrllllaerilfif. What is prob of sequence lil?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*t**2 - 4*t**3 - 89*t**2 + 179*t**2.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v = -30*v + 21395. What are the prime factors of v?\nAnswer: 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5290.342 millimeters?\nAnswer: 0.005290342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5, -0.19, 22.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 15761087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.21 + 1.79. Let j be (-6)\/(-24) - (-7)\/(-12). Let w = 1 + j. Which is the nearest to 1? (a) w (b) 0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 + 4.5. Let o = 2.9 - u. Let s = 2 + -1.9. What is the nearest to s in -1\/6, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4991 + -60031\/12. Calculate the common denominator of x and 79\/128.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 6*y - 4. Suppose d = 3*j - 11, 10*d - 5*d + 11 = 4*j. Let o be c(j). Let v(f) = f - 2. What are the prime factors of v(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 2*a + 28 - 8 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*w + 8*w - 2*w + 6 + 12*w wrt w?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 940*l*u**2 - 2*l + 869 wrt u?\nAnswer: 1880*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-4 + 3) - (-4 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 12:40 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27414795 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31644.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 0 - 3*m**2 + 0. Let d(r) = -r**2 + 3. Let l(g) = 4*g**2 - 14. Let q = -7 + -7. Let b(n) = q*d(n) - 3*l(n). Give b(k(w)).\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -26*s - 24. Let c be i(-2). Suppose 5*g = -18 + c. Put 3, 1, -8, g in ascending order.\nAnswer: -8, 1, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298122 divided by -2?\nAnswer: -649061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46750397.\nAnswer: 6451, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 a, and 1 n when four letters picked without replacement from {a: 2, n: 3, q: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**5 + 1054*l**3 - 220*l**2 - 3*l.\nAnswer: 180*l**2 + 6324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + (sqrt(130) - (sqrt(130) - (sqrt(130) + (2*sqrt(130) - sqrt(130))) - sqrt(130))*-2)\/sqrt(10))**2.\nAnswer: 48*sqrt(13) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/6)\/v)**25)**(2\/21)*(v\/((v*v**12)\/v)*v**(2\/3))**(3\/10) assuming v is positive.\nAnswer: v**(-3203\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 924121.1 micrometers in centimeters?\nAnswer: 92.41211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1 = -2*c + 3*n, -4*c = 3*n + 7. Let w be c*5*(3 - 4). Solve -w*v - 20 = -5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/6)\/((-1)\/(-8)). Let r be (40\/(-15))\/(u\/6). Let c(i) = i. Let n(f) = f + 3. Let k(l) = -6*c(l) + n(l). Let g(m) = 2*m - 1. Give r*k(w) + 11*g(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0 + 203*y**4 - 219*y**4 + 13*y**3 - 23*y**3 to the form u*y**4 + z*y + l*y**2 + c*y**3 + i and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 37336 - 14*n - 4*n - 37336.\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, j: 2, e: 1}. What is prob of sequence ww?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 27*x + 1779. Is 19 a factor of q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(700) - (sqrt(700) + 1)) + 0)*-5 - (sqrt(700) + 2*(sqrt(700) + 1) + 3*sqrt(700) + 5 + sqrt(700)))**2.\nAnswer: 3080*sqrt(7) + 34784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.079 * 1.\nAnswer: -0.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55.7 + 55.4. Let h = 5 - 2. Does h = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -3, 0.3, 5, -0.3 in ascending order.\nAnswer: -3, -0.3, -1\/4, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 9*d - 2*f + 16, -f = -2*d. Suppose -1 + 3\/2*v - 1\/2*v**3 + 0*v**d = 0. Calculate v.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from {b: 2, l: 4, s: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 7*a**3 + 4*a**3 + 7*a**3 + 3*a**3 as l*a + v + p*a**2 + h*a**3 and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/417163 and 35\/18057?\nAnswer: 16269357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w*w*w*w**(-4)\/w*w*w))\/w)\/w**(1\/7))\/(w\/w**2*w**(3\/5)\/w*w) assuming w is positive.\nAnswer: w**(-26\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12738\/13 or 981?\nAnswer: 12738\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + -1 + sqrt(5) + -2).\nAnswer: -6*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3151 - -3154. Let g be 7\/(-2) + 15\/10. What is the lowest common multiple of 1*(3 - (g + 4)) and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (-30 + (35 - -5))) + 6 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 496108 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**5\/3 - 2935*y**4\/3 - 148830*y**3 - 1537920*y**2 - 2488320*y = 0. What is y?\nAnswer: -288, -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -414 - -435. Let i(l) = 33*l - 21. Let g(n) = -3*n + 2. Let u(j) = x*g(j) + 2*i(j). Let r(o) = 68*o**2. Determine u(r(a)).\nAnswer: 204*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 222 (b) 2\/17 (c) -3 (d) 3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 28462 + t**2 + 45*t**3 + 28459 - 51*t**3 + 10*t**4 to o*t**3 + x*t**2 + v*t**4 + f + q*t and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 1. Let s(y) be the third derivative of y**5\/60 - y**4\/6 - y**3 + 6*y**2 + 2*y. Let v be s(6). What is g(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 + 4*n**4 + 3*n**4 - 3*n**4 - 2*n**4 - n to the form r*n**2 + w*n**4 + x*n + i*n**3 + u and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -40918.47776 to the nearest integer.\nAnswer: -40918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -11. Let t(h) = -7*h. Let v be t(3). Calculate the common denominator of n + (v\/24 - -3) and 143\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (419*t - 419*t - 65*t**2)*(-1 + t - 3*t + t)*(3 - 4 + 2).\nAnswer: 65*t**3 + 65*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-101639)\/(-268) - 1\/4 is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -113, -110, -107, -104, -101?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(459)\/(sqrt(9) + sqrt(144)))\/((sqrt(330)\/sqrt(10) - sqrt(33))\/sqrt(11) - sqrt(3))*-5.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, -5, 15, 5, -24.\nAnswer: -24, -12, -5, 1, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**6\/160 - 3*w**5\/20 + 79*w**4\/32 - 51*w**3\/4 + 3393*w**2. Find r, given that a(r) = 0.\nAnswer: -17, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i - 5*i + i + (6*i + 69 - 7*i + 2*i - 2 - i + 2 + (1 + 1 + 0)*(2*i - 4*i + 0*i))*(-6 - 1 + 4) as r*i + y and give y.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 7:36 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/8 - (-3905)\/10?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 1932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - t + 0*t + (4 - 2 - 3)*(0*t - 2*t + 4*t) + (2 - 4 + 5)*(-4 - 1 + 6)*(-687*t - 1931*t - 578*t).\nAnswer: -9592*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -13*d - 26. Let t be u(-6). Suppose -r + 5*r + t = -5*i, r = 2. Let m = i - -81. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 - v**2 - 3*v**2 - 2*v**4 + (17*v**3 - 17*v**3 + 7*v**4)*(3 - 9 - 5).\nAnswer: -79*v**4 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-32))\/(3\/8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -336*p**2 + 76*p. Let m(d) = -2*d**2 - 15*d. Let w(z) = f(z) + 5*m(z). Find y such that w(y) = 0.\nAnswer: 0, 1\/346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 569 + 564 - 6*n + 486 - 1621.\nAnswer: -6*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 20 = 5*y + 7*t, -3*y = t + 19. Let p = y - -11. Suppose 2*k - 90 = -p*k. Is k a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvvlvcrkvtlkccc. Give prob of picking 1 v and 2 c.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117e (base 16) to base 10.\nAnswer: -4478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5733363?\nAnswer: 3, 1911121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z\/(z*z*z**(-19)*z)))\/z**(1\/5))**(17\/5))**(-35))**(-32) assuming z is positive.\nAnswer: z**(-308448\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 >= -90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 729 divided by -19\nAnswer: -729\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*v - 17*v - 34*v + (4*v + 2*v - 4*v)*(-2 + 1 + 0) + (3 - 3 + 2)*(34 - 34 - v).\nAnswer: -80*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 12:25 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + -5*sqrt(19)*-5*6*-2) + 5.\nAnswer: 13 + 600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 40740435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -k - 9. Let n(m) = 3*m**2. Let x(u) = -4*u**2 + u + 1. Let j(q) = -3*n(q) - 2*x(q). What is j(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**2 - 87*w + 26. Let a be l(-22). Factor 0 - 4\/7*p**a + 4\/7*p**3 - 4\/7*p + 4\/7*p**2.\nAnswer: -4*p*(p - 1)**2*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 41\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/12*0\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19\/10 in 0, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 965413 (base 16) to base 12\nAnswer: 3371417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(180) - 3*1*sqrt(180))**2 - ((1 + sqrt(180))**2 + -1) - -1*(sqrt(180) - (sqrt(180) + sqrt(180)*2 + 2))**2).\nAnswer: 36*sqrt(5) + 1263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 29, -1\/5, -10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 + 720*d**2 - 873*d + 209510. Calculate s(240).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1 - (-5)\/25*-35.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 + 1162*o - 5756. Calculate f(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1306437 and -0.2.\nAnswer: 261287.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158490962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 958*y + 22. Let c(q) = 2*q - 2. Calculate 10*c(u) + n(u).\nAnswer: 978*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1375)*2)\/((sqrt(165)\/sqrt(3)*2)\/sqrt(5))*4.\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 8:48 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**2 - 5*x + 1. Let k be h(8). What is the greatest common divisor of k and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 3202*f - 3206*f - 40, 5*c + 100 = -5*f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -424 - -110?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1114136 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 0 + 1\/(-6). Let d = 547977\/11 + -49816. Let v = -0.5 + 0.3. What is the nearest to v in d, -0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3747837, 3747834, 3747829, 3747822, 3747813, 3747802, 3747789?\n\"Answer: -a**2 + 3747838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 24*q + 43. Let j be w(17). Calculate the highest common factor of 41 and j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -224851.38363494.\nAnswer: -224851.68363494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 - 315*o**2 - 150*o + 1162. Determine a(-157).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 4*p + 6 = 0, -6 + 1 = 5*a + 5*p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 529 - 522. Suppose o*y = 258 + 99. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q = -30*q + 300. Suppose 3*b = -7*b - q. Put b, -1, 38 in ascending order.\nAnswer: b, -1, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412.3888l to millilitres.\nAnswer: 412388.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = 13 - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 7340450?\nAnswer: 7340446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/1320 and 77\/200.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 275*t + 3146. What is y(-13)?\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 983280*k**4*v**3 - 182*k - 405*v**3 + 3*v**2 wrt k?\nAnswer: 11799360*k**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43093, -172247, -387509, -688885, -1076381?\n\"Answer: -w**3 - 43048*w**2 - 3*w - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 22*u = 39. Is u at least as big as 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -65 + 63 - (35 - -1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 91943, -1, 4 in descending order.\nAnswer: 91943, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + m**2 + 2*m)*(-10 - 23 - 6 + 83).\nAnswer: 44*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 - 8) + 2 - 86*2\/4. Let h(i) = -2*i**2 - 76*i + 78. Determine h(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5 = 41. Let l be 5*(f + (1 - 3)). Let j = l + -10. Solve -3*g + 2*u = -u - 15, 5*g + 3*u = j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.33+-9.2\nAnswer: 4.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + 10. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-13)*l*l)**(-44) assuming l is positive.\nAnswer: l**484","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31300 - -313?\nAnswer: 32213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(10\/45*-3)*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 37*d - 1462. Let g be v(24). Solve 15*f + 4*w - 3 = 12*f, -f + 1 = -g*w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 31*q**2 + 2*q - 6. Let b(p) = -71*p**2 - 5*p + 10. Determine -6*b(j) - 14*c(j).\nAnswer: -8*j**2 + 2*j + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 0. Let v = -0.0835 - 2.9165. Sort -13, v, o in increasing order.\nAnswer: -13, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7871.268um in centimeters?\nAnswer: 0.7871268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54 - 10253?\nAnswer: -10166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/15*-3*1. Does 3 divide a\/(-2) - (-26)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7323888, -14647776, -21971664, -29295552, -36619440?\nAnswer: -43943328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -5853 - -105431\/18. Calculate the common denominator of 99 + -86 + (-725)\/48 and s.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-373)\/2984*72\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/sqrt(4)*6)\/(sqrt(4)\/sqrt(2)*6))**2 - (3*sqrt(132)*4 - sqrt(132))\/(sqrt(12)*3*-1).\nAnswer: 11 + 11*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -14*r. Suppose 3*k = -0*k + 3. Let c be h(k). Let u = 10 + c. Let q(s) = s**2 + 4*s. Calculate q(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301834881?\nAnswer: 3, 17, 1972777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.26 times -0.0658?\nAnswer: 0.806708","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + 4*m + 1. Is d(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 137*t**2 - t - 2*t + 1 + t. Let i be w(-3). What is i rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 75*s**2 + 98*s - 1657. Give r(76).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*a + 45 = -47*a. Is (3\/(a\/12813))\/(-11 - -12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d**2 - 249*d + 112. What is f(41)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4119073 - -4120221.0563. Let i = 1148 - x. What is i rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-0.18\nAnswer: 0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37860.\nAnswer: 2, 3, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -96 (b) 1 (c) -14 (d) -3 (e) 0.1 (f) 4 (g) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**2 + 11*r - 5. Let z = -45 + 50. Let c(p) = 2*p**2 + 6*p - 3. Calculate z*c(t) - 3*x(t).\nAnswer: -2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 3:27 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45443103 is divided by 1187.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -734 + 787. Solve -w*y + 12 = -50*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*b - 8. Let h be b\/6 - (-7)\/(-2 + 23). Solve 2*n = -4*o + 16, -5*n - 5*o = -h*n - 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 13 = 17. What is the smallest common multiple of 78\/(-429) + 0 + 101\/11 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.35 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -10*q - 32. Does 10 divide (3 + q)\/(22\/308)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 4:34 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*((-3 - 0) + 0). Suppose -4*u = -r - o - 5, 4*u - 3*r = 0. Let g be 8\/(-12) + 2\/u. Solve g*p - p + 2 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 6 = 18. Suppose 3 = 3*b - 3*v, -2*b + s*v - 1 = 1. Suppose -5 + 3 = -r. Solve 0 = -4*n + 3*w + w - 20, -r*w = -b*n - 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 27190*w + 27241*w + 27751*w - 82294*w.\nAnswer: -112*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11301 + 1123?\nAnswer: 12424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 2*y + 3. Let c be n(-2). Let m = 46 + c. What are the prime factors of m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 906.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3163 - 1?\nAnswer: -3164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*b = -168*b + 12. Let n(u) = 2*u + 8. Calculate n(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-10))\/(-4) - (-13160)\/2350?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 + 10*g**2 - 3*g - 6. Suppose 2*j - 13 + 3 = 0. Let h be u(j). Is 6\/h + 1815\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 3*g**2 + 8*g + 9. Let h be i(5). What is the common denominator of (4 + h)*(-770)\/968 and 17\/64?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*q**3 - 1)*(-q + q + q) + 5*q**2 - 5*q**2 + 3*q**4 + 160*q**3 - 1921 + q**4 + 1921.\nAnswer: 6*q**4 + 160*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 8*t**2 + t + 11. Let j be r(-8). Suppose -d = -2, -p - 2*p = -j*d + 2520006. What is p rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*x - 32 + 196 = -124 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -t + 2*t - 5, 2*t = -s - 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 325776 and 12.\nAnswer: 325776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/56*-21*24\/(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2 - (-2)\/(-8). Let y = 78 + 49. Let u = 128.3 - y. Which is bigger: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6 - 10)*(2 - 2 - 2 - 2 + 2 + 2 + 2 - 3 - 1 + (-2 + 0 + 1)*(1 + 2 - 2) - 4 + 0 + 2 - 3 + 3 - 1)*(1 - 17 - 21)*(2 - 2 - 2*p).\nAnswer: 5328*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.042362601 to five decimal places.\nAnswer: 0.04236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**7\/21 - w**4\/3 + 4*w**2. Find the second derivative of p(q) wrt q.\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*v - 4*l + 6*l, 0 = 2*v + 5*l - 33. Let x(w) = 13*w - 8. Let c be x(v). Calculate the highest common divisor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -187*c + 1578. Give h(4).\nAnswer: 830","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, -1\/4, 9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1277260.15 rounded to the nearest one thousand?\nAnswer: -1277000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x + 3. Let o(y) = 2*y + 1. Let r(t) = -i(t) + 3*o(t). Let u be (-2)\/(-3) - (-3)\/9. Give r(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 6:58 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-5)*17\/(-51)*-1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763 is divided by 98?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119065827.\nAnswer: 3, 39688609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52409 (base 12) to base 9.\nAnswer: -173680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6 + -3.7. What is p rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 25*w - 30.\nAnswer: -5*(w - 3)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3022*l - 1609*l + 5106*l - 385866 + 105549 = 0 for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -5*c + 3*f - 2414, 2*f = -4. What are the prime factors of c?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-12 - (-1688)\/140). Let s = -969\/4 - -241. Which is the nearest to w? (a) -5 (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 2. Suppose -4*t = l + l + 22, -l - 5*t = 17. Let b be p(l). Let o(m) = -4 + 10 - m - m + 3*m. Give o(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21200, 42503, 63904, 85397, 106976, 128635?\nAnswer: 150368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(240)\/sqrt(3))**2 + 1).\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 86*o - 9. Suppose -2*a - 13 = -2*y - 7, -a - 5 = 0. Let h(i) = 3. Let b(r) = y*x(r) - 6*h(r). Determine v, given that b(v) = 0.\nAnswer: 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.6 (b) -5 (c) -0.06 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + d - 5 = 0, h + 39*d - 30 = 44*d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4200 = -28*s + 4116 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 35 + -1 + -1. Let z = 121 + -119. Suppose -12 = -z*d + 4*c + 12, 85 = 5*d - 5*c. Calculate the greatest common factor of l and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-84)*-2 + ((-72)\/(-140))\/((-12)\/20)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 4:48 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 8*r - 48. Let d be v(12). Let n(a) be the first derivative of -4\/5*a**4 + 39 + 0*a + 32\/25*a**5 + d*a**2 + 0*a**3 - 2\/5*a**6. Factor n(w).\nAnswer: -4*w**3*(w - 2)*(3*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364 and 43120.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7513 + 60583 = 133*h. Calculate the highest common divisor of 176 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(480))\/sqrt(12) + sqrt(400)\/(-4*sqrt(10)))\/(1*sqrt(288)*2*5).\nAnswer: 11*sqrt(5)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 20 = -5*x + c - c + 13, 5 = -5*c - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 1. Let r be a(1). Let m = -3 - -4. Suppose -2*c + 4*c = -10. Sort r, c, m in decreasing order.\nAnswer: m, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(28) - sqrt(252))\/sqrt(4) + 1 + sqrt(14)\/sqrt(2) + -1 + sqrt(7) + 4 + sqrt(7) + 0)**2.\nAnswer: 16*sqrt(7) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -111404?\nAnswer: -111402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 6326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -45*h**4\/8 + 5146*h**2 - 4. Let g(t) = 6*t. Let d(f) = f. Let r(q) = 21*d(q) - 4*g(q). Give y(r(v)).\nAnswer: 405*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -28, -15, 14, 65?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 3:40 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 1)*(-3*y - 3*y + y)*(2*y - y - 2*y)*(-y + y + y).\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 426.65 rounded to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4007 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1031\/148 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**6\/780 + j**5\/65 - j**4\/13 + 8*j**3\/39 - 24*j**2. Find g such that o(g) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -110110110001111000000010111?\nAnswer: 110110110001111000000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.3 - -6. Let j(p) be the first derivative of p**4\/4 + 5*p**3\/3 + p**2\/2 - p - 77. Let h be j(-5). Which is greater: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2. Let u(y) be the first derivative of 3\/2*y**2 + 0*y - 3. Calculate u(i(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27898501901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*a - 558, -4*a - 2*x - 2*x + 760 = 0. Calculate the highest common factor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -2\/9 (c) 3764\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 201732043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 35 * -0.11\nAnswer: -3.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**9\/6720 - m**8\/20160 + m**5\/15 + m**2. Let o(j) be the third derivative of i(j). What is the units digit of o(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 24.08321751828 and -0.4.\nAnswer: 23.68321751828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-6) - 2\/30*115. Let v(u) = -u**3 + u - 2*u - 6*u**2 - 8 - 4*u**2. Calculate v(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53292 divided by -6?\nAnswer: 8882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**2 - 15*d - 5. Let r(h) = 8*h**2 - 30*h - 11. Let k(o) = -13*p(o) + 6*r(o). Let s be k(4). Put 1, s, -6 in decreasing order.\nAnswer: 1, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -281c (base 14) in base 16?\nAnswer: -1baa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 5*c - 65 = 3*v, 3*c - 9 = 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: Let b(y) = 459*y - 7800. Give b(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/200 and -39\/425.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1340 and 24 + 41\/(738\/23688)?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8772120 and 804111?\nAnswer: 96493320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8304*w + 14671 - 9659 = -783*w + 259448 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106 and 119?\nAnswer: 12614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 4)*(7\/(-3) + 1). Solve 0 = -t - 2*o - p, -2*t + o + 12 = -0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.953 + 1.827. Let b = 3.2 + t. Round b to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -0.3, 5, 2\/3, 3.\nAnswer: -0.3, 2\/3, 3, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 50. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 5*l - 24 = 0, -2*m - 3*l - 23 + 10 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101470 divided by -5?\nAnswer: -20294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415 - 403 = 12*f. What is the nearest to 3\/2 in f, 0.02, 0.4, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.81 - 19.49. Let v = 19.3 + s. Let f = -7 - -5. Put 3, v, f, 3\/7 in descending order.\nAnswer: 3, 3\/7, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8 = 2*i, -h + 4*i = 3*h - 12. What is the second derivative of -b + h*b + 4*b**2 - 3*b wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23730 and 50285.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**2\/2 - 18*u - 4. Let p be a(6). Let i(d) = -5*d - 25. Calculate the remainder when i(p) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4875 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - h - h**3 + (2 - 2 - h**2)*(-2*h + 2*h + 2*h) - 11 + 7*h**3 + 11 + 2005*h - 49*h**3 - 2005*h.\nAnswer: -45*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3214 - 1454 = 45*k + 10*k for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 2. Let v(r) = r**3 + r**2 - 12*r + 4. Let j be v(3). Suppose -j*z = 4*c + 4, 6 + 1 = -3*c - 4*z. Calculate n(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x**2 - 8*x - 104. Let a(q) = q**3 - 2*q**2 - 5*q - 4. Let d be a(2). Let k(h) = 2*h**2 + 3*h + 35. Give d*k(y) - 5*j(y).\nAnswer: 2*y**2 - 2*y + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 + 6781*u**2 - 13453*u - 230. Calculate q(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06415 rounded to 3 dps?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3330, 3134, 2928, 2706, 2462, 2190?\n\"Answer: -v**3 + v**2 - 192*v + 3522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.3, 0.2, 2, -2\/23, 81?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 193*p + 9839. What is s(-51)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/3)\/(2\/6). Let w(o) = -9*o - 5. Let d(l) = l - 1. Let h(f) = m*d(f) + w(f). Is 12 a factor of h(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -1, 4, 13, 137.\nAnswer: -1, 1, 2, 4, 13, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = j, -7*j = 5*x - 5*j + 41. Put -14, x, 0 in decreasing order.\nAnswer: 0, x, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 696, 2750, 6184, 11010, 17240, 24886?\n\"Answer: 2*q**3 + 678*q**2 + 6*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 10*m**2 - 10*m + 7. Give q(6).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/518 and -27\/12950.\nAnswer: 12950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millimeter in micrometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -125, -184?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85\/178 + 2\/89. Which is smaller: s or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0*n + n)*(11 - 39 + 16)*(-54 + 66 - 52).\nAnswer: -480*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31700327, 63400675, 95101023, 126801371, 158501719, 190202067?\n\"Answer: 31700348*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n**3 + 5*n**2 - 5*n + 8. Let k(p) = -3*p**3 - 3*p**2 + 3*p - 4. Let r(d) = 5*k(d) + 2*x(d). What is the units digit of r(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183, -1500, -5053, -11940, -23259?\nAnswer: -40108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*h = 19*h + 1997360. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 437992730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (2 + -12) - ((21 - 14) + 22).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-6 - -10) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - 3*d**2 - 3*d**2)*(2*d**2 + 2*d**2 - 2*d**2) + 0*d + 2*d**4 + 0*d.\nAnswer: -14*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -17*l**4\/12 - 4*l**3\/3 + 7*l. Let a(n) be the first derivative of 11*n**3\/3 + 5*n**2\/2 - 6. Give 8*a(k) + 5*z(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*v = 2155*v + 3553*v + 2908*v - 563448 for v.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**3 - 345797*y**2 + 345808*y**2 - 10*y**3 + y to the form r + o*y + v*y**2 + x*y**3 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*p + 3*m - 7, 7 = -4*p - 5*m. Let w be (p\/3)\/(4\/6). What is the least common multiple of 11 and (-3)\/(-1) - (w + -2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8.98 (b) -950 (c) 0 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 769215 by -153843.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 861*o**3*x**2 + o**3*x - 2*o**2*x - 144*o*x**2 - 86*o*x wrt o.\nAnswer: 5166*o*x**2 + 6*o*x - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -2*x**5\/5 + 13*x**3\/6 + 2*x**2 + 23. Let v(m) be the second derivative of g(m). What is the first derivative of v(j) wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94 + 174. Suppose 96 = 3*p - 0*p - q, 0 = -4*p - 4*q + 128. Calculate the highest common divisor of v and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/7? (a) 790 (b) 0.2 (c) 0.5 (d) -2\/3 (e) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70670628*l**3 + 114*l - 114*l.\nAnswer: -70670628*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 10, -5\/2, 1\/4, -4, -0.648?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26033953591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/35 - 30\/(-28). Let f be (4\/(-76)*-19)\/((-2)\/(-4)). Determine u so that 1\/2*u**f - 1\/2*u - 1\/2 + t*u**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1946923 or 1946926?\nAnswer: 1946923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 1164\/64 - (-16)\/(1 + 3)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22170280 and 5500.\nAnswer: 554257000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 1:52 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -9*a**3 + 4*a**2 + 4*a + 6. Let j(l) = 19*l**3 - 9*l**2 - 9*l - 13. Let o be (-8)\/(-56) + 216\/56. What is o*j(v) + 9*f(v)?\nAnswer: -5*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/270 and (-1433)\/(-264) + 160\/440?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 11*z + 1. Let i be x(-11). Suppose -7 - i = 4*g. Is g bigger than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0061401 to 5 decimal places.\nAnswer: -0.00614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z + 114. Let f be u(30). Let a(p) = 11*p**3 + 10*p**2 - p - 11. Let m(x) = -5*x**3 - 5*x**2 + x + 5. Let l(n) = -4*a(n) - 9*m(n). What is l(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-225)\/(-140))\/((-100)\/35 + 2).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -386 divided by -2.\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-3 - (-5 + 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1155*k - 8027. Let o be s(7). What is the greatest common divisor of o and 2291?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 360.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -907089 divided by -4299\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 6*q + 3. Let r(c) = -17*c - 9. Suppose 0 = -w, -3*f - f + 3*w = 44. Determine f*m(p) - 4*r(p).\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 24 = 4*c, 176*c + 3*d + 22 + 5 = 173*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58 in -136, 4\/9, 0.4, 3, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 17*t + 204. Let k be d(-12). Solve 2*l - 5*l - 2*c + 5 = k, l = -5*c - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, s: 1}. What is prob of picking 2 x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 12693*m - 367256.\nAnswer: -(m + 29)*(m + 12664)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 8:52 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33 + 2a6?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, w: 5, n: 9}. What is prob of picking 2 w?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5894 (base 11) to base 3\nAnswer: 101121011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*g + 3, g - 16 = -5*h. Suppose 0 = -h*o + 2*o. What is the third derivative of y**2 + 2*y**3 - 4*y**2 + o*y**2 wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -953*v + 19231 - 171 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111212222002 (base 3) to base 5.\nAnswer: 32221400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*h - 1, 5*b + 12 + 7 = 2*h. Let f be (-1)\/(5\/20) + -5. Let v = b - f. Solve v = 3*i - u, 10 = 4*i + 2*u - u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 - 2 + 2 + ((0 + 0 + 2*o)*(0 - o**2 + 0) + 0*o**3 - o**3 + 2*o**3)*(-27 + 27 - 91*o) in the form x*o**3 + z*o**4 + b*o**2 + k*o + s and give z.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j - 5. Suppose 0 = 7*p + 8 + 27. Determine h(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2599.7 rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.00128 + -16. Round o to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 - 1. Let v be t(-1). Let b(z) = -5*z + 83. Let h be b(17). Is h > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3*s = -2*q + 7*s - 6, 0 = 2*s + 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 3:02 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 20. Find the third derivative of 7*p**2 + 2*p**4 + 2*p**5 - 4*p**h - 2*p**4 wrt p.\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**4\/3 - 171*w. What is f(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123 - 10?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 + 34*w - 35. Calculate x(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 691 + -272. Let a be ((-6)\/(-4))\/(-3)*865. Let x = a + s. Calculate the common denominator of -42\/5 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*l + 2, 6 - 44 = -5*l - 2*y. Suppose -l*x + 4*x = -6*x. Let q = -16 - -16. Solve x*d - 3*f + 7 = -d, -2*d + 3*f - 11 = q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 773260 (base 8) to base 9.\nAnswer: 435282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6910 to the nearest 100.\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*s - 682 + 682)*(-26 - 149 + 38)*(s**3 + 0*s**3 + s**3).\nAnswer: -10960*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.05438 - 0.05438. Which is the biggest value? (a) 0.3 (b) -1\/3 (c) k (d) 42\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-1)\/3)\/((-12)\/((-11532)\/(-31)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-16 - ((-4 - -5 - 4) + -1 + 14))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 15 = -2*c. Let f(s) = s**2 + 4*s - 3. Let m be f(-5). Suppose 3*t - 6*t - 10 = -m*n, -3*t + 4 = 5*n. Is t at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.08 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 184.07 + -184.017874. What is c rounded to 4 decimal places?\nAnswer: 0.0521","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -73106, -142972, -212838, -282704?\n\"Answer: -69866*g - 3240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**2*p**3 - 3405*i**2 + 6*i*p**3 - 5*i*p - 3*p**3 + 5*p wrt i.\nAnswer: -2*p**3 - 6810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17417 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/56980 and -97\/348.\nAnswer: 4957260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) + sqrt(171) + sqrt(171) + -2)*-2 - (-4 + sqrt(171)*-3))*6 + -1)**2.\nAnswer: -5076*sqrt(19) + 57613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 5) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 756*f**3*l - 63*f**2*l + 2*f*l - 94*f + l - 63 wrt f?\nAnswer: 4536*f*l - 126*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*a = -820 + 3790 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/4)*t*t\/((((t*t**(3\/2))\/t)\/t)\/t)*t\/(t\/t**1)*t**(-6) assuming t is positive.\nAnswer: t**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -354 + 175. Let o = 179.4 + w. Sort -0.4, 20, o.\nAnswer: -0.4, o, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = -u, -4*u + 28 = 4*b. Suppose 2*w + 3*v = 8, 50*v - 45*v = -9*w + 19. Sort -2, b, -3, w in descending order.\nAnswer: b, w, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((-40)\/(-60))*(24\/27 + -1). Let h = 2 + 3. Sort k, -3, -1\/2, h in increasing order.\nAnswer: -3, -1\/2, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 398*j**3 + 3*j**2 + j - 3. Let k be q(1). Let i = 419 - k. Calculate the remainder when 70 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(11) + -1 - (-4 + (-1 + sqrt(11))**2).\nAnswer: -6 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3807929.\nAnswer: 37, 97, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**4\/3 - 28*u**3 - 1447*u**2\/3 + 568*u + 3068\/3 = 0.\nAnswer: -59, -26, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -697, -1407, -2129, -2869, -3633?\n\"Answer: -d**3 - 703*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*g**5 + 50*g + 56*g - 104*g wrt g?\nAnswer: 340*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j - 7*j**2 - 3*j**2 - 2*j. Let t(o) = -5*o. What is t(f(n))?\nAnswer: 50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21814 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3}. Give prob of picking 2 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2 (b) -0.66 (c) 0.7 (d) -101 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/5, 4\/3, -7, 0.6 in decreasing order.\nAnswer: 4, 4\/3, 0.6, -2\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11400 is divided by 61?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by 68.\nAnswer: -57\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 36*j - 194*j**2 - 193*j**2 - 39 + 385*j**2. Let b be q(22). What is b rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-16)\/8)\/((-9)\/2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 82*g**2. Let o(m) be the second derivative of m**3\/3 + 48*m. Determine x(o(z)).\nAnswer: 328*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 4*r**2 - 6*r + 17. What is the remainder when m(8) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31102 - -20320?\nAnswer: -10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*t + 5790 = -346*t - 121*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.9639578 decades?\nAnswer: 0.09639578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 311.579947 and -5.\nAnswer: 306.579947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22434 + -3?\nAnswer: 22431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327858462?\nAnswer: 2, 7, 89, 1065697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/3 + 106*t**2 + 11236*t + 1191016\/3 = 0.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 351440581?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**6\/360 - y**4\/12 - y**3\/2 - 4*y. Let i(a) be the second derivative of s(a). What is i(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**5 + 5102*x**4 - 2647*x**2 wrt x.\nAnswer: 60*x**2 + 122448*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293086.\nAnswer: 2, 146543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7124*t**2 - 356192*t - 400.\nAnswer: 4*(t - 50)*(1781*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.1 and -97965664.2?\nAnswer: 97965665.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 5*m**2 - 6*m - 4. Let a be j(-4). Suppose g = 5*s - 31, 3*s + 3*g - a = 11. Suppose -s*h = -5*h - 717. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 944 and 1712?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5364837515 to the power of 1\/3, to the nearest integer?\nAnswer: 1751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129712 is divided by 64846.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 80 (b) 2\/23 (c) -0.4 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 33510, 0, 2\/7?\nAnswer: 33510","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/8)\/((-2016)\/9216).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Let d be 1\/x + (-9)\/(-2). Suppose d*k - 165 = -5*c, -2*k + 0*k + 4*c = -66. What is the greatest common factor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1725*u + 12*u**3 + 1723*u - 11*u**3 - 3448*u.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**3 + 5*v + 8. Let w(g) = -3*g**3 + 4*g + 7. Let c be 18\/27*(-12)\/2. Let z be c\/(-3)*210\/56. Determine z*t(l) - 6*w(l).\nAnswer: 3*l**3 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(204) - (sqrt(204)*-1 + sqrt(204) - sqrt(204))*4 - sqrt(204)))\/((sqrt(360)\/(sqrt(80)\/sqrt(8)))\/sqrt(3))*-5.\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 9*l**5\/10 - 2*l**4 + 5*l**3\/6 + l**2\/2 - 13. Find i, given that d(i) = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -12*j**2 + j - 1. Suppose 19*k = 24*k. Let i be k*3\/6*-1. Suppose i = -w - 5, 0 = -n + 4*w + 21 - 0. Give g(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 - 55) + 23 + 1 + (-11 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -94405836.\nAnswer: 1\/23601459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**3 - 2*w**2 - 3*w. Let n be m(4). Let x = 156 + n. What is x rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95.8 - -100. Let t = 2.53 - n. What is t rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 14. What is the remainder when 9 is divided by b(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2179738*g*h**3 - 119970*g*h**2*i**3 - g*h**2*i**2 - g*h**2*i + 6*h**3*i**3 wrt i.\nAnswer: -719820*g*h**2 + 36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((12\/(-6))\/2)\/(1\/(-3)). Factor 0*n**2 - 1\/5*n + 1\/5*n**d + 0.\nAnswer: n*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2cc + -50?\nAnswer: -34c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -1\/10 (b) -1\/4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60322)\/(-340) + (-34)\/289. Let l = h + -36304\/205. Let o = -7971 + 175451\/22. What is the common denominator of l and o?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*u**2 - 10220 + 20449 + 334*u**2 - 10229.\nAnswer: 387*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-94*w + 1303*w - 712*w)*(5*w - 4*w + 0*w) to u*w**2 + v*w + k and give u.\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/4109 - -382217\/65744. Find the common denominator of z and 175\/14*(-3)\/(-33).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -64c?\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1355 is divided by 1074.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1530.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2223315 - 67?\nAnswer: 2223226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 12:39 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 100423.1 decades?\nAnswer: 1004.231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 0*z + 1\/2*z**2 - 3. Let d(n) = -6*n**2 + 5*n. Let y(c) = 7*c**2 - 6*c. Let t(k) = 6*d(k) + 5*y(k). Give t(q(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 72300 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -13. Let n(j) = 0 - j + 5 - s. Determine n(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 73 = -2*z. Let n = z - -53. Solve -4*h + n = 3*p, 5*h - 4*p = -0*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t**3 - 6*t**3 - 6*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8193065138 to the nearest integer?\nAnswer: 90516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (7\/(-14))\/(1\/(-204))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3174035 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.085? (a) 0.3 (b) -2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 8:51 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - ((-6)\/(-2))\/3. Suppose 5*z = 3*z - m. What is the units digit of ((-1)\/z)\/((-3)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f - 5*g - 79 = 0, -4*f + 11*g + 97 = 6*g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 3 - 3)*((0*p**2 + p**2 - 4*p**2)*(-7*p - 8*p - p) - 2*p**3 + 4*p**3 + 0*p**3 - p**3 + 4*p - 4*p) + (5*p + 0*p - 4*p)*(2*p**3 - 3*p**3 + 2*p**3).\nAnswer: 50*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -5, 1, -16, 3 in increasing order.\nAnswer: -16, -5, 1, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**3\/3 + 1928*n**2\/3 - 466570*n\/3 + 925444\/3 = 0.\nAnswer: 2, 481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v - 6. Let k(c) = -14*c + 12. Let b(z) = -2*k(z) - 5*r(z). Suppose 30 = -5*d + 30 + 25. Let o(i) = i - 1. Give d*b(g) + 30*o(g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i + 76. Let w be r(-25). What is the smallest value in w, 3\/20, 4?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/3103 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 133*w**3 - 5*w**2. Let j(c) = 4922*c**3 - 184*c**2. Let q(o) = 184*a(o) - 5*j(o). Let s be q(-1). Suppose 4*t - 270 = s. Does 21 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1960 is divided by 1469.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 392 or -0.7?\nAnswer: 392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*m - 3*v - 20, -3*m - v - 4 = 0. Let g be 2 - (-4 + 3 + m). Suppose -32 = -5*y + g. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 44*w**6\/45 + w**5\/24 - 3*w**4\/8 - 17*w**3\/3 + 30. Let z(k) be the third derivative of d(k). Is z(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwiixibwbixbx. Give prob of picking 1 i, 1 w, and 1 x.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9536 and 24.\nAnswer: 28608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -a?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 8\/3*t**3 - 4*t**2 + 0 - 108*t + 5\/6*t**4. Factor d(w).\nAnswer: 2*(w + 2)*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/35224 and -93\/38080.\nAnswer: 1408960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -1, 5, 0, 1, 892, 85 in decreasing order.\nAnswer: 892, 85, 13, 5, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 153 - 1375\/9. Let f be 3 + (47914\/(-17262) - 2\/9). Let v = f - 963\/1918. What is the closest to v in n, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*m**3 - 1800 + 1800.\nAnswer: -61*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 + m - 13*m + 10*m + (2*m - 2*m - 2*m**2)*(m**2 + 0*m**2 - 2*m**2).\nAnswer: m**4 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*(sqrt(200) + sqrt(200) + 1 + sqrt(200) + sqrt(200) + sqrt(200) + sqrt(200)))**2 + -5*(1 + sqrt(200)).\nAnswer: 2950*sqrt(2) + 180023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3728 divided by -4\nAnswer: -932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22653, -45304, -67955, -90606, -113257?\nAnswer: -135908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13, -42, -73, -106?\n\"Answer: -d**2 - 26*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4844a115 + -5?\nAnswer: 4844a110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1\/7, 6\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1248478*y + 1248494*y + s - 259, -35 = -2*y - s for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 905 times -186735\nAnswer: -168995175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 101*h**3 + 1\/4*h**4 + 805\/4*h**2 + 0 + 201\/2*h.\nAnswer: h*(h + 1)**2*(h + 402)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1376 divided by -2498\nAnswer: -688\/1249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**2*l**3 + 10*h**2*l**2 - 2*h*l**3 - 62*l**3 wrt h.\nAnswer: 2*h*l**3 + 20*h*l**2 - 2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 2*l + 17*l + 2 + 18*l.\nAnswer: 32*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022.\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 11*k + 9. Suppose -21 = -3*x - 2*i + 1, 2 = -2*x + 2*i. What is the least common multiple of y(-5) and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 p, and 1 c when three letters picked without replacement from cpcccccpucpcppu?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 6 + -1 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: a (base 15) to base 13\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -101010 (base 5) to base 14\nAnswer: -1287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-24))\/((-30)\/12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 247, 385, 543, 727, 943, 1197, 1495?\nAnswer: 1843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79774113?\nAnswer: 3, 26591371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/5)*r\/r**3)\/(r*r**(-4)*r*r*(r*r*r\/r**(-2\/9))\/r))**(-2\/21) assuming r is positive.\nAnswer: r**(272\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -17*l**2 + 4*l + 3. Let u(j) = 18*j**2 - 4*j - 3. Let b(f) = -6*q(f) - 5*u(f). Is b(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + i**2 + 1. Suppose -2*h + 3*k = 16, k = h + 3*k - 6. Let j(q) = -12*q**3 - 10*q**2 - 10. Determine h*j(y) - 20*o(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-8\/9)*q)*q*q*q**(-11\/3)*q**(2\/19)*q**(3\/13))**(-11) assuming q is positive.\nAnswer: q**(10802\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 9*v - 6. Let c be q(8). Suppose 3*u - 17 = -4*t, 2*t + c*u + 2 = 12. Let k(m) = -3*m - 8 - 98*m**t - 3*m + 97*m**2 - m. Determine k(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-1)*(91\/(-14) - -7). Suppose -3*w + 4*j = -3 - 4, -1 = 2*w + 3*j. Let s(f) = 5*f - f + 2*f - w. Determine s(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2 (c) -0.9 (d) 6 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.1. Let r be -4 - 76\/(-18) - (-5762)\/(-8514) - -1. Let d = 1 + -6. Sort d, n, r in increasing order.\nAnswer: d, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*j + 3*p - 8, 5*j - 2*p = -6. Suppose 5*c - 4 - 11 = j. Suppose g = -g, -c*l + 30 = 3*g. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 767*a - 769*a + 3*z - 6, -a = 3*a + 13*z - 8*z - 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.01, -4\/7, -0.5, 0.63925, 5?\nAnswer: 0.63925","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 1415891?\nAnswer: -7\/1415891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1590 or -162\/5?\nAnswer: -1590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, g: 1, r: 4, o: 1}. What is prob of sequence bg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16649763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4)\/(w*w**(-1\/4)))\/(w*w*((w*w*w**(2\/3)*w)\/w)\/w*w)**22 assuming w is positive.\nAnswer: w**(-619\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 19 = -3*f, 4*f + 11 - 37 = -r. Let t(s) = s**3 + 2*s**2 - 4*s + 4. Let b(o) = o**3 + 4*o**2 - 7*o + 7. What is f*t(w) - 4*b(w)?\nAnswer: 3*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 547448683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -2*w. Let z = -16 + 22. Let g = z - w. Solve -3 - g = 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 + 57.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/9 + 4*v**2\/3 - 242*v\/9 - 484\/3.\nAnswer: 2*(v - 11)*(v + 6)*(v + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3 + 270*i**2 + 4832*i = 0. Calculate i.\nAnswer: -16, 0, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p, m + 0*p - 60 = -4*p. Let r = -34 + m. What is the greatest common factor of 65 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2456\/(-1535)*2*2\/(-8).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 29*j - 7. Let s = 10 - -77. Calculate the remainder when s is divided by w(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.000651 or -2?\nAnswer: -2.000651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 415.1563 hours in microseconds?\nAnswer: 1494562680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 7221525 = 5*z, z - 1444280 = -70*q + 74*q. What is z rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7979787 to the nearest 10000.\nAnswer: -7980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**2\/w*w)\/w*w*w)**(-39)*(w**1*w)**(-21\/8))\/((w**2*w)**(-7)\/((w*w*(w\/w**2)\/w*w)\/w*w)**43) assuming w is positive.\nAnswer: w**(-233\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1789 + 1793. Let s(w) be the first derivative of 0*w**2 + 1\/3*w**3 + 0*w - f. Let j(h) = -23*h**2. Give s(j(x)).\nAnswer: 529*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b60 (base 13) in base 12?\nAnswer: 4b28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 44401544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -884, -1788, -2710, -3650, -4608?\n\"Answer: -9*h**2 - 877*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -53. Let r(h) = h**3 + 15*h**2 + 8*h + 26. Let q be r(m). Suppose 5*w + q - 1072 = 0. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -14*x + 22*x. Let q be (x - -10469) + -2 - -3. Suppose q = -2*m + 11*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -120212 - -1234342?\nAnswer: 1114130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -401 (base 7) to base 12\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 10. What is i(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76 + -58 + -19 + -33?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11679, -11741, -11803, -11865, -11927?\nAnswer: -11989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -2*x**2 + 3*x + 0 - 1\/6*x**3. Calculate g(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 205*p**4 + 2*p**3 - 6028*p.\nAnswer: 2460*p**2 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 113121*s - 207417 wrt s.\nAnswer: 113121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 147 = -661. Let x = q - -215. What is the remainder when x is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(sqrt(720) - (1 + sqrt(720))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 17*c + 30. Does 39 divide p(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a9bbba (base 15) in base 13?\nAnswer: -18a2ba4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.62 and 51.58.\nAnswer: -83.5596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.20893g in micrograms?\nAnswer: 48208930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/41? (a) 4 (b) -0.2 (c) -5 (d) 4.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1\/3 (b) 93 (c) 6 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 72789 times -2?\nAnswer: -145578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.37*-14643.\nAnswer: -5417.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2625 + 2628. Which is the biggest value? (a) -0.4 (b) f (c) -2 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*i**4 - 26 + 12 - 6*i**2 + 3*i**5 - 3*i + 14.\nAnswer: 3*i*(i - 1)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -167*b**3 - 6*b**2 - b + 3. Calculate o(-1).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)*c**(2\/47))**(3\/16) assuming c is positive.\nAnswer: c**(-699\/752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 less than -2.09?\nAnswer: -2.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3180157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 - 5*j**3 - 15*j**3)*(-3 + 3 - 7) - j**3 - j**3 + 3*j**3.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4521442665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7375*d**3 - 203*d**2 - 10*d + 3. Is l(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179958 divided by -6?\nAnswer: -29993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 121*u**4 - 1595*u**3 + 6348*u**2 - 4480*u - 12544.\nAnswer: (u - 4)*(u + 1)*(11*u - 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-4) + (-4)\/8. Let g be c + 0 + (3 - 2). Suppose g*h - h - 84 = -4*b, -2*h = b - 27. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-3)\/(-2))*(-4)\/11\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, p: 7}. What is prob of picking 2 i?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l + 91. Let s be w(29). Suppose -5*j + 409 + 363 = s*i, -310 = -2*j - i. Is (j*5\/10)\/2 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(12\/30 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57873*t**4 + 50*t**3 + 42983750*t**2?\nAnswer: 1388952*t + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22*(1 - (-2)\/(-4)). Suppose 3*i - 57 = 3*r, 5*r = -i + 42 - j. Calculate the remainder when i is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.37784 * 0.42.\nAnswer: 1.8386928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3027 take away -13318.128375?\nAnswer: 10291.128375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2053*b**3 - 8*b**2 + 1679872.\nAnswer: -6159*b**2 - 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677 is divided by 100.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(2\/7))**(-5\/4)\/((d\/(d\/d**(2\/127)*d)*d)\/(d*d**23)) assuming d is positive.\nAnswer: d**(82113\/3556)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -160\nAnswer: 3\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/6 + ((-12844)\/312 - -41). Let b(y) = -y**2. Let a(r) = -8*r**2 + 2*r - 2. What is v*b(c) + a(c)?\nAnswer: -10*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 242*w**3 - 3*w**2 + 19*w - 20. List the prime factors of z(2).\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 1 + 9. What is the derivative of 4*r**x - 2 - r**2 + 0*r + 0*r wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*w = -7*l + 43, w = -5*l + 119. Calculate the lowest common multiple of 116 and l.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 6*n + f = -34, -n + 18 = -5*f. Let g be (-33*(-12)\/n)\/((-12)\/(-16)). Calculate the highest common factor of g and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 3:18 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32802727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -78. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - 5*o**2 + 5307*o - 2673*o - 2634*o.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 153 (base 6) to base 11\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34063 - 1604 = 1321*w for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 less than -36405.26916?\nAnswer: -36428.26916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 60 = 12*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1162 and 3154?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -512685, -512682, -512679, -512676, -512673, -512670?\nAnswer: -512667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 + -33. Suppose -p = a, -2*p + 8 = -5*a + f. Let r = 0.2 + -0.2. Which is smaller: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*p - 134*p = -381 - 217 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-25)*d)**(-10)\/(d**(2\/63)\/d)**(2\/9) assuming d is positive.\nAnswer: d**(136202\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.01 (b) 0.2 (c) -2\/3 (d) -2\/7 (e) -69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 11:46 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6775, -27380, -62271, -111898, -176711?\n\"Answer: -75*d**3 - 6693*d**2 - d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 102248044 equal to 102248044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/163 - 577\/2445. Calculate the common denominator of 53\/1491 and l.\nAnswer: 7455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**6\/k*(k\/(k*k\/(k**(11\/8)\/k)*k))\/k*k*k\/k**11*k**3 assuming k is positive.\nAnswer: k**(-29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -300285?\nAnswer: -300284.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 904827?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - ((-3 - -7) + 6)) + 0 + -6?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157*2\/(-40) + 2 and -129\/130.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - 38. Which is greater: -2\/11 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -31*m**2 - 53*m - 45. Differentiate w(j) wrt j.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 87*(-1)\/21 + (-9)\/(-63). Put -3, k, -218 in descending order.\nAnswer: -3, k, -218","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2121 = -1711. List the prime factors of a.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -27\/160891?\nAnswer: -27\/160891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-51)\/(-357) - (-926)\/(-14). Let y be (-74)\/(258\/i + 4). Is y < -815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeceeec. Give prob of sequence eeec.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 3*p**2 - 7*p - 16. Give l(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 + -3. Let o = 13.3 - 12.15. Let w = 0.15 - o. Which is the second smallest value? (a) 0 (b) w (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*188290.\nAnswer: -7531.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10101111101110001000001 (base 2) to base 3\nAnswer: -101211112111220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-9) - 260\/(-720).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {z: 2, o: 3, i: 8, c: 6}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3999211\/11984 - -2336\/7. Let c = 2803\/11984 - h. Find the common denominator of c and -47\/84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 0*r + 4021882. Let j = r - -389059. What is j rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*(h**(-2\/7)*h*h)\/h)\/(h\/h**(-3\/5)))**(-19))**34)**(5\/3) assuming h is positive.\nAnswer: h**(-2584\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28933436?\nAnswer: 2, 7, 1033337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -10 - (11 - (8 - 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -119\/4*h - 285\/2 - 1\/4*h**2.\nAnswer: -(h + 5)*(h + 114)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*j*k*z + 880*j*k - 1926928*j*z + 358*j - 2*k*z + 3*k - 1 wrt z?\nAnswer: -14*j*k - 1926928*j - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549 = -5*a - 534 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 1:00 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 2*x + 3. Let h be y(3). Let u = h + 1. Let b(f) = f**3 + 8*f**2 + 6*f - 7. Let d be b(-7). Sort 4, u, d in ascending order.\nAnswer: d, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 7*l - 6. Suppose q + 58 = 3*k + 6*q, 2*k - 42 = -4*q. Suppose k*p + 4*v - 24 = 9*p, -p - 5*v = -21. Determine f(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 3*o - 58, -5*d + 6329 = -2*o + 6275 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 - 60*p + 766. Determine j(12).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-1)\/4 + (-1105)\/(-68)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 1:07 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14578*d**3*j*z - 4*d**3*z - 2*d*j - 5*d*z + 3*d + 2455*j wrt d.\nAnswer: 87468*d*j*z - 24*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (690\/(-69))\/((-2)\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -37 + -1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 - -108. What is the biggest value in -4\/3, o, 4\/15, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1026, -1018, -1010, -1002, -994, -986?\nAnswer: -978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 65698 = -3034*p + 3031*p, 0 = 2*n - 14. Is p a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 6. Solve 5*z + 14 + 1 = x, -5*w = -3*z - 9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + 3)*10\/(-15). Suppose 0 = -2*m - 5*b - 16, v*b = -2*m + 3*m + 8. Is m greater than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 645 + -605. Suppose a*q + 13475 = 51*q. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.074? (a) -0.5 (b) -1508\/3 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -11*z - 19. Let u be p(-6). Let w = u + -38. Let b(i) = -13*i**3 + i**2. Calculate the smallest common multiple of w and b(-1).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23239 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4 - 1442*g**3 - 255214*g**2 + 1442*g + 255216 = 0 for g.\nAnswer: -409, -312, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4530*v + 4530*v + 13*v**3.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -95, 2 in increasing order.\nAnswer: -95, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 8756*f**2 - 368752*f - 772560.\nAnswer: -4*(f - 2146)*(f - 45)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7239129?\nAnswer: 3, 2413043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8848)\/(-1120) + (-2)\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70*w**3 + 435*w**2 - 26 + 6 - 21 + 6 + 80*w - 25.\nAnswer: 5*(w + 6)*(2*w + 1)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270 + 1322 = -85*y + 232 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5)*m*m**(2\/5))\/(m*m*m**(-1\/6)*m*m*m**10) assuming m is positive.\nAnswer: m**(-361\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*a + 35 = 0, -18 - 2 = y + 5*a. Let h(p) be the second derivative of 3\/7*p**2 - y*p + 0 - 1\/42*p**4 - 2\/21*p**3. Factor h(n).\nAnswer: -2*(n - 1)*(n + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/329 or 4\/5?\nAnswer: -6\/329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*z - 37 = -49, -5*q + 28 = -2*z. Solve s = -q*h - 11, -4*s + h + 0 = -7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156909.991 rounded to the nearest 10?\nAnswer: 156910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31201, 31213, 31227, 31243, 31261, 31281?\nAnswer: 31303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -1 - (-75 - -62)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-314)\/1)\/((-18)\/27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-696)\/(-117) + 58\/1131.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 1. Let f = -195 - -273. Let d = f - 77.9. Which is the nearest to 1\/4? (a) -2\/3 (b) z (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - k = 10, 3*b + 2*k + 16 = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 2:34 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 7*l + 38. Let q be v(-11). Let s(o) = o - 1. Let g(z) = -2*z**2 + 5*z - 5. Calculate q*s(c) + g(c).\nAnswer: -2*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, r: 2, o: 1, i: 6}. What is prob of picking 1 o and 1 u?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 + (-7 - -5) - (6 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 2 - 2)*(2 - 2 - 3*p**2)*(-48 - 1 - 6 + 5 - 2 - 5 + (0 + 1 + 1)*(-1 - 1 + 3) - 3 + 0 + 4).\nAnswer: 162*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85 + 155. Suppose -5*w + 122 = -3*c, 3*w + 0*w - c - b = 0. What is the greatest common divisor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 5*h. Let f be g(6). Let m be 7 - 4 - 3\/(-1). Calculate the highest common factor of f and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.6 or -889?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*c = 36*c - 242 + 1790 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14951 is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2740031 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: Let a = -20 - -20. Let h = a + -0.000113. Round h to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 3) to base 8.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002697767 to 7 dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2050\/(-3690)*(-18)\/(-8)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)*1 + sqrt(105))\/sqrt(5) + 5*sqrt(84))\/(2*sqrt(5103)*2).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 + -5 + 7 - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*s**2 - 6*s**2 + 32176*s - 32921*s to the form f*s**2 + y + j*s and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*k + 24, 14*k + 36 = i + 17*k. Suppose 4*y - 46 = -5*t, -3*t + 2 = -4*t + 2*y. Let d(n) = 2 + 2*n - n**2 + t*n - 7. Give d(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 7*l**2 - 4*l + 14. What is the remainder when 7 is divided by r(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 303 - 170. Let i = k - 132.19. Round i to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5, -49\/219, -1\/6, 1\/4, 3?\nAnswer: -49\/219","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - ((3 - 2) + 3)) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2 and (-5)\/4*13400\/1155500.\nAnswer: 4622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -304707?\nAnswer: -304704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/7 (b) 53.26 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)*k**(-2\/7))**13\/(((k**(3\/5)\/k)\/k**(1\/4))\/(k*k**(-1)*k*k)**12) assuming k is positive.\nAnswer: k**(12433\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1.4. Put v, -4, 0 in descending order.\nAnswer: 0, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 g when three letters picked without replacement from ahotuottgtttaatguta.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 299302547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 455311387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*r + 852*r = 410*r + 884 for r.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 59. Let u = 261 + j. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -0*j + 2*j - 106, 0 = 3*j + b - 131. Calculate the remainder when 134 is divided by j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 204 - 24?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123 - -124. Let q(k) = -k**2 + k - 1. Let c(i) = -6*i**2 + 10*i - 8. Calculate p*c(x) - 8*q(x).\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/53, -5, 0.056, 256 in ascending order.\nAnswer: -5, -6\/53, 0.056, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0857197*-2.\nAnswer: 0.1714394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 + -65.7. Let l be 5\/(5\/(-6)) + 0. Let x be 13\/(-3) + 4\/l. What is the third smallest value in s, 0.5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 427754 + 4672.\nAnswer: 432426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4\/7 + 352*a**3\/7 - 4*a**2\/7 - 352*a\/7.\nAnswer: 4*a*(a - 1)*(a + 1)*(a + 88)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 101096606174 minus 0.1?\nAnswer: 101096606173.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2572*i**4 - i**3 - i**2 - i + 1072387?\nAnswer: -10288*i**3 - 3*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 13 - (-202 + 121)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 405, 487, 485, 399, 229?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81598469?\nAnswer: 1543, 52883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7610886 and 14?\nAnswer: 53276202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 11*f**2\/2 - 63*f - 4. Is p(12) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74288909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629 = -401*x + 1480 + 3104. Let u be 1 + -1*1 - -1. What is the greatest common factor of x and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2934)\/(-717200)*-40*20\/3.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 21. What is the smallest common multiple of v and 85\/(-15)*-3 - 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23 + 44?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62976 and 141824.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 4:15 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvlvvplf. What is prob of picking 2 v, 1 f, and 1 p?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 223965 divided by 237\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 13 = -6. Calculate the highest common factor of w and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 + -183. Let a = m + 126. Solve -11 = -a*r + 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 1:28 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00108553 to six decimal places.\nAnswer: -0.001086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99979 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 13, 2\/21, 5, 2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -272*r**7\/105 + 23*r**5\/4 - 526*r**2. Find the third derivative of m(s) wrt s.\nAnswer: -13056*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -657\/4 + 165. What is the biggest value in 3, 3\/5, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33720 + 10*y - 33720.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 232, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*c - 30230846 + 260824846, 3*c + 3*z + 345891000 = 0. Round c to the nearest one million.\nAnswer: -115000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 3)*(-6 + 7). Let y = 24.8 - 25. Sort y, d, -2\/9.\nAnswer: d, -2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1, -1074, -0.1?\nAnswer: -1074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1420\/(-350) + (-20 - -24))*14\/8?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 12:36 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1330 - 430 = 0. Let c = z - -2625. List the prime factors of c.\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b**4 - 15*b**3 - b**4 - 13*b**3 + 36011*b - 36009*b - 2 + 329*b**2 + 30*b**3 to k*b**3 + h*b**4 + d*b**2 + i + f*b and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, c: 5, y: 5, z: 2, t: 2, s: 2}. What is prob of picking 1 d, 1 z, 1 c, and 1 s?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/26636 and -101\/4.\nAnswer: 26636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqxxqxqqqxx.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 440 and 9448760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -8. What is the lowest common multiple of 2 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 158 (b) 195 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -l - 0*l + 34, 2*l - 52 = 4*z. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 7*f**2 + 4*f + 2. Calculate the least common multiple of c(7) and (86\/(-5) - -19)*50\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -50. Let f be 0\/(0 - (v - 4)). Solve f*m - 3*m = -6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(95)*-3 - sqrt(95) - (sqrt(95) + 1*sqrt(95)*5))\/(((sqrt(1375) - sqrt(55))*2)\/sqrt(11)).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -6 (c) 0.03 (d) -2\/11 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69369 or -0.5872?\nAnswer: -69369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21739?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -7*j**5\/36 + 505*j**4\/24 - 215*j**3\/9 + 170*j**2 + 2. Factor a(o).\nAnswer: -5*(o - 43)*(7*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 58926.17 weeks?\nAnswer: 35638547616000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 - 1 + c**2 - 2*c**2 + 622*c - 621*c + 2*c**3 in the form v*c**3 + z*c + l*c**2 + j and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*y**4 + 10*y**4 + 971*y**2 - 1028*y**2 + 64 wrt y.\nAnswer: 4*y**3 - 114*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 2 + (-9 - (3 + -24))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 560252 + -3961476\/7. Let g be 1906643\/336 - 2\/3. Let t = g + h. What is the common denominator of -73\/2 and t?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3800 + 8001. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1215 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h**2 - 286*h - 1696. Determine w(46).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 330, 620, 910, 1200?\n\"Answer: 290*r + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -171 - 1706?\nAnswer: -1877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 = n - 104 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -10*k**2 + 197*k - 133. Let c be l(19). Solve 5*u + c*m - 40 = 5*m, u + 16 = -5*m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a hour in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07 + 1.07. Let t be (195\/6 - 27) + 2\/(-4). Which is the third biggest value? (a) l (b) t (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(70)\/sqrt(7)) + sqrt(7) + 4 + (3*sqrt(112) + -2 + sqrt(112))**2.\nAnswer: -62*sqrt(7) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3675797 is divided by 1094.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 1:27 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k + 9. Let l(t) = 6*t + 10. Let i(w) = -7*b(w) + 6*l(w). Let y(m) = -2*m + 31 + 3*m - 35. What is -7*i(r) + 5*y(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 116568 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*t - 3635 + 45845 = 0. Calculate the remainder when t is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -299627\/3224 - -5213\/62. Let g = -120\/13 - i. Sort 12, g, -3 in descending order.\nAnswer: 12, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, y: 2}. What is prob of sequence yhhy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-9\/4))\/s*s*s**(2\/21)*(((s**(-3\/4)*s)\/s)\/s)**28)**(-1\/3) assuming s is positive.\nAnswer: s**(3835\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24251 + -24199. Calculate the remainder when 828 is divided by c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2275\/(-910))\/(4\/(-10)*(-15)\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.25 - 0.15. What is the closest to 0.4 in 1\/3, -0.4, p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2961, 0.1, -0.3 in decreasing order.\nAnswer: 2961, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 56955 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/17 (b) -2\/17 (c) 4\/7 (d) -108 (e) 5 (f) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 10. Suppose i - 5*t = -10*t - 18, i - 3*t = 6. Let j(y) = -y - 13. Let m(s) = i*c(s) + 2*j(s). Let g(o) = 2*o + 3. Give -4*g(a) + 3*m(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 52.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216 by 12.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.3 - 15. Which is smaller: 0.1 or h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90793?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 2*n**2 + 6*n. Let s(r) = -2*r**3 - 6*r**2 - 17*r + 1. Suppose 4*h - 28 = -q + 5*q, -h = 3*q - 11. Let m(g) = h*d(g) + 3*s(g). Give m(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0978154687 rounded to four decimal places?\nAnswer: 0.0978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 690\/(-35) + 3 + (-171)\/((-26334)\/(-44))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 6*x**3 + 4*x**3 - 2*x**3 + (2*x**2 + x**2 + 6*x**2)*(x + 2 - 2) - 75*x**3 + 33*x**3 + 25*x**3.\nAnswer: -12*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/8*2*16\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -432209*z + 614350.\nAnswer: -432209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -770, -646, -440, -152, 218?\n\"Answer: 41*m**2 + m - 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 28, -13, -2 in descending order.\nAnswer: 28, -2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2 + 14*o + 15 = 0. Calculate o.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1054 - 456116?\nAnswer: -455032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from aihaakiikkp.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1090902810 to the nearest integer?\nAnswer: 33029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from {i: 1, g: 1, z: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10544 is divided by 2105.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, q: 4, g: 3, v: 5, u: 3}. Give prob of sequence vvvg.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31\/15 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 23. What is the second derivative of -n*a**3 - 18*a**2 + 18*a**2 + 26*a wrt a?\nAnswer: -204*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b - 111. Let r be a(-22). Suppose r*y = 49*y - 12. Solve -3*i + y*i - 3*m = -8, 0 = i + m - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -1826927?\nAnswer: -10\/1826927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.81 - -0.43. Let w = 0.58 + y. What is the smallest value in 5, 3, 2\/11, w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/1191? (a) 2 (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-21) - 17\/(-3). Let m be p*1\/(0 - -2). Suppose 0*x = -m*x + 207. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**2 - 44*t + 96 = 0.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/((-44)\/(-880)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/10 - 138\/115?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5592574, 5592521, 5592468?\nAnswer: 5592415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = r - 20. Let m be -1*4\/(-1) + -2. Put m, -2, r in ascending order.\nAnswer: r, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 5)*12*8. Let v be -1 - (1638\/(-195) - 2\/(-5)). Suppose -c + a = v*c. Calculate the greatest common factor of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3018 + 6 + 1*-1. Suppose 0 = 5*c - 3*z - 27172, -c + 5*z + q + 2407 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 36 - 17 = -d, 4*a = -3*d + 119. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 10*j + 5. Let i = -146 - -152. Let g(p) = -7*p - 4. Let b(z) = i*g(z) + 4*y(z). Calculate b(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 - 1016?\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6262*i - 80160 = 14025 + 200129 for i.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.11936*7.53\nAnswer: 0.8987808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*(-1 + sqrt(1900))*5*4*3.\nAnswer: -240 + 2400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a minute in seconds?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + ((-47)\/(-2) - 14).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 13 - 9*q**3 - 7*q**3 + 15*q**3 in the form z + g*q**3 + u*q**2 + d*q and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23494027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703 is divided by 78?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 + 118. Let r(q) = 2*q**2 - 14*q + 5. Let f be r(10). Suppose 0 = 3*a + u - f, -u + 3*u = 10. What is the highest common factor of n and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 31996, 128078, 288248, 512506, 800852, 1153286?\n\"Answer: 32044*f**2 - 50*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10052003959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 67 (b) 77852 (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119\/3 - -425\/12. Calculate the common denominator of 51\/2 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 300 + 69. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2411*w**3 + 152200*w**2 - 152200*w**2)*(-2*w**2 - w + w).\nAnswer: -4822*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 128 = -3*f, 0 = 5*g + 2*f - f - 126. Let b = -20 + g. Sort -1, b, 1 in increasing order.\nAnswer: -1, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19050000 rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Let c(j) = -j + 2. Let v be c(1). Sort w, -5, v in decreasing order.\nAnswer: w, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 191465.\nAnswer: 13019620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12577872 and 4692.\nAnswer: 213823824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 496427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26942*m**3 + 8433*m**3 + 80073*m**3 + 40792*m**3.\nAnswer: 102356*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**2 + 3*c - 3*c)*(0 + 1 + 1) - 518*c**2 + 1 + 358*c**2 - 100*c + 100*c to i*c + t + w*c**2 and give w.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*q + 7*q - 22*q - 2*q**3 - 6*q**2)*(7 - 4*q**2 - 7).\nAnswer: 8*q**5 + 24*q**4 + 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.2 + -1.2. Let v = 135 - 1213\/9. Do b and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212203312 - -11?\nAnswer: -212203301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -22011 (base 3) to base 10\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7)*h**(4\/11))\/(h*h**(-1\/2)*h*h*h**(-1)\/h)*((h\/(h\/(h*h**(1\/2)*h)))\/h*(h*h**(-4)*h)\/h)\/((h\/h**(-4\/3)*h)\/h**(-2)) assuming h is positive.\nAnswer: h**(-1544\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 206222112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -397*l**6 + l**3\/3 - 2081*l**2\/2 + 3047. What is the second derivative of o(g) wrt g?\nAnswer: -47640*g**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 2*q + 9. Let k(u) = -3*u**2 + 5*u + 19. What is 10*j(t) - 4*k(t)?\nAnswer: 2*t**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.929 times -433597\nAnswer: -402811.613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + -45. Suppose -s + 3*s = v. Solve -3*p + 9 = -s*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/436904 and -53\/252060.\nAnswer: 6553560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 386698955 to the nearest integer?\nAnswer: 19665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 + -45. Suppose -2*k = -4*q + 2*k - 20, m = 3*k. Solve q = -0*z + z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 4*n**2 + 28 + 19*n**2 + 0 - 8*n + 0*n**2. Let j be (1\/(-3))\/(2\/234*-3). List the prime factors of m(j).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -295330395 - 25.174.\nAnswer: -295330420.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (45\/108)\/(9\/108)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*l**2 + 1362768*l - 19534460?\nAnswer: 6*l + 1362768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -175\/2? (a) -3 (b) -56 (c) -0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 332921457 divided by 1?\nAnswer: 332921457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110 - 103. Let j be q\/(-2)*(-240)\/84. Suppose -2587 = 3*h - 4*h + 4*g, -5*g = j. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -10956.\nAnswer: -4382.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(11) - (sqrt(11) - (2*sqrt(121))\/sqrt(11)))**2 - (sqrt(539) - (2 + sqrt(539) + 1)**2 - sqrt(539))*-1.\nAnswer: -42*sqrt(11) + 1311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*a - 31*a - 6570. Let g = 368 + a. Factor 0*p**2 + 0*p**4 + 4\/7*p**g + 0 - 4\/7*p**5 + 0*p.\nAnswer: -4*p**3*(p - 1)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/735 and 26\/33?\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - 0.09. What is the nearest to 1 in 2\/15, -0.5, s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43152939.\nAnswer: 3, 1598257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 27 + 12 = 0. Suppose 4*d + 15 = 7*d. What is the lowest common multiple of d and z?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*d - 0*d - 3420. Is -1\/3 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = p + 2*y, p - 1 = -2*y - y. Let o be (-18)\/(-6) - p*-5. Solve 4*g + 5*x = o, 4*x - 8 = 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 5*q + 5, -4*b - 4*q - 37 = -q. Is 23 a factor of (-244)\/b - (-4)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 140160825971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 8 = -2*h + h - 2*u, -9*h - 20 = -13*u + 8*u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2328 divided by -24?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -165 + 158. Is 445 + -3 + 3 + (-10 - p) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7))**(-2\/3)*(w**(-1\/2))**(-3\/4) assuming w is positive.\nAnswer: w**(95\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9925 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c - c + 549602*c**2 - 549598*c**2 - 387*c**4 to x*c + o + p*c**2 + y*c**3 + f*c**4 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 24*h**2 - 23*h + 50. Let f be t(-25). Let x be -1 - (1 - 0)\/(-1). Suppose -8 = -2*l - x. Solve -5*v - 4*j = -18, f*j = 3*v + l*j - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-975)\/(-1260) + 2*2\/28?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2\/21 + 3286*w\/3 + 7668\/7 = 0. Calculate w.\nAnswer: -1, 11502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*d - 3*l + 107, 0 = d - 5*l - 44. Let a = -24 + d. Solve 3*p + 4 = 5*x, a*p + 7*x - 2*x + 20 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*i - 0*i. Let z = -18 - -22. What is the remainder when i is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 946675567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -23\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -5, 37 in increasing order.\nAnswer: -5, 1, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -23*z**4\/60 - 49*z**3\/30 - 3*z**2\/5 - 2016*z. Determine u so that r(u) = 0.\nAnswer: -2, -3\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(38\/(-95))\/((-12)\/(-10)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 23*a**2 - a - 1. Let t(v) = v**2 + 2*v - 7. Let z be t(-4). Let c be w(z). Is 8 a factor of c\/(-14) - 67\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 - (2788\/(-119) + -30).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -13*p + 42. Let t be l(4). Let a(f) = f**2 + f + 14. Is 9 a factor of a(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 46*l - 40*l - 15 + 3. Let p be z(4). Suppose 0 = -2*b - 6*q + 2*q + p, 4*b - 3*q = 2. Solve -4*o = -b*v - 2*v, 3*v - 12 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + (sqrt(108)*3*5 + sqrt(108) - sqrt(108)) + sqrt(108))\/(1*(-3*sqrt(729) - sqrt(729))) + 1.\nAnswer: -17*sqrt(3)\/18 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14984\/1 + (-3 + 165)\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 + 7.96. Let f = o - 13. What is the third smallest value in -1\/6, f, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -40 + -7?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 23. Suppose 615*f = 648 + 862 - 280. What is the third biggest value in -5, u, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -2*i - 5*c, -105*i + 107*i + 12 = -2*c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 35.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w + 5*w - w + (-7 - 7 - 3)*(-1 - w + 1).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*q + 2*v - 4, -3*q = 5*v - 17. Let r = -7 - -9. Let b(p) = -p**r - p**2 - 8*p**3 + 3*p**2. Give b(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 541*f - 1591. Let v be y(3). Calculate the highest common factor of 18608 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h + 968. Let f(y) = -y**2. Calculate d(f(c)).\nAnswer: -2*c**2 + 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/6580*-47 + (-2)\/((-8)\/53).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*84*503\/((-313872)\/416).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-126)*5\/60*9\/9.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msmssksksskssssssmsm. What is prob of picking 2 s and 2 m?\nAnswer: 156\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -43, -77, -111?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/(-10))\/(6\/(-232)). Suppose 0 = 98*w - 113*w + 3225. Suppose c + w = 7*d. What is the remainder when d is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 312472979 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 8446438?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 1:50 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1034*y**2. Let d(b) = 2*b**2. Determine d(m(k)).\nAnswer: 2138312*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 423 - 389. Which is smaller: g or 1\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.303 - 150.697. Let h = 154 + l. Which is the second smallest value? (a) h (b) -1 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 6 - 14. Suppose k = d*k. Which is the second smallest value? (a) 0.5 (b) -0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 83*j + 2289. Let b be s(-28). Sort b, -6, -7 in descending order.\nAnswer: -6, -7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 210, 222, 234, 246, 258?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3470085020, 3470085019, 3470085018, 3470085017, 3470085016, 3470085015?\nAnswer: 3470085014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-9)\/2)*(-16)\/(-20). Let o(m) = 46*m - 6. Let c be o(g). Factor -86*b + 2*b**2 + c + 126*b + 114.\nAnswer: 2*(b + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**5\/3 - 202*g**4 + 628*g**3 + 14744*g**2\/3 + 5712*g = 0?\nAnswer: -306, -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001663406 to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (11 - 15 - 3) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(33)\/sqrt(3) + sqrt(11))**2*-6 - (-5*(sqrt(11) - sqrt(22)\/sqrt(2))**2 - sqrt(11)).\nAnswer: -264 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3))**(1\/65)\/(w**(3\/13)\/w**0) assuming w is positive.\nAnswer: w**(-47\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -20*c - 29. Let g be (13 - 810\/63) + (-232)\/7. List the prime factors of y(g).\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 1623*l + 25833 + 11477 = -130*l, -2*l + 4*l - 34 = 5*b + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2414 and -29\/34.\nAnswer: 2414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 30 = -0*n + 4*s, 0 = 5*n + 2*s - 43. Let l = 12 - n. Calculate the remainder when 13 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/20040 and -31\/720.\nAnswer: 120240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 + 441. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21300121323 (base 4) in base 15?\nAnswer: -357be3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2268\/9 + -7 + 1. Suppose 2*x = -2*f + q, -2*f - 6*x = -5*x - 245. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002087733802 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 v, and 1 z when three letters picked without replacement from {h: 3, r: 1, z: 3, v: 5}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 139*o**2 - 10*o - 12. Let m(i) = -93*i**2 + 7*i + 8. Let d(y) = 7*m(y) + 5*x(y). Let a be (-1 + -2)\/(-3 + 2). Is d(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 13 - 6*l + 5*l.\nAnswer: -4*l - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 1. Let h(t) = 11*t - 8. Let s(p) = -4*g(p) - h(p). Suppose 15 = -3*r, 8 - 1 = 3*w + 4*r. Calculate the remainder when s(-3) is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 13991 = 13*x - 4*b, 8393 = 3*x - 4*b. List the prime factors of x.\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1)*w*w\/(w**1\/w))\/(w**(-5)\/(w*w**(-2\/11)*w)) assuming w is positive.\nAnswer: w**(119\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 27. Suppose -15*v + 18*v + s = 20, 5*v - 4*s = -12. Solve -4*l = 5*f - 2*l - 4, 0 = 4*f + v*l - y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 6*p - 13266 = 0. Let f = p + -8801\/4. Calculate the common denominator of 103\/24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p - 2. Let j be c(2). Is 21 a factor of j\/(-8) - 2862\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f**2 - 6*f**2 - 10*f - 8 + 0*f. Let s(n) = n**2 + 8*n. Let o be s(-7). What is the tens digit of t(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6448, -6449, -6450, -6451, -6452, -6453?\n\"Answer: -s - 6447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 1771*r - 1770*r - 0*z + 4, -3*r + 13*z - 20 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 108*m + 2271. Determine z(29).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 306575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + 4*r**2 - 4*r**2 + (r + r - 3*r)*(-2*r - 4*r + 2 + 3*r).\nAnswer: 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138.992 - -0.008. Let u = 138.8 - t. Which is smaller: u or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b + 23. What is u(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from glgllggllg.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-4))\/(2\/(-8)). Let c(y) = y + 15. Let u be c(-17). Let n(o) = -o**2 + o + 4. Let g be n(0). Sort a, g, u.\nAnswer: a, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -518691247*h**2 + 5*h - 5*h + 518691240*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32596*w + 2*w**2 + 2*w**2 - 32592*w - 2 - 2*w**2 + 78*w**4 to the form a*w**2 + d*w + j*w**4 + u*w**3 + y and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 3778200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6, -13, -26, -51, -94?\n\"Answer: -h**3 + 3*h**2 - 9*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 8*b**2 + 1222*b - 379. What is k(31)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c - 233. Calculate r(-44).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.4721856 days?\nAnswer: 40796.83584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 k when three letters picked without replacement from ovofkk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2246 is divided by 448?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-135)\/(-1215))\/((-10)\/40)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 13*n**2 - 5*n + 1. Let u(r) = 3*r**3 + 37*r**2 + 14*r - 3. Let t(q) = -3*u(q) - 8*v(q). Give t(-5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(5*sqrt(5)*-2) - ((sqrt(5) - (sqrt(110)\/sqrt(2))\/sqrt(11))**2 - ((sqrt(720))**2 + sqrt(5))).\nAnswer: 9*sqrt(5)\/10 + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -153, -157, -161, -165, -169?\n\"Answer: -4*g - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*j - 6, -4*j + 2*r + 3*r = 15. Let z(u) = -3*u**2 - u**2 + 62 - 68 + 5*u**2. Determine z(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v - 4. Let f = -11 - -61. Let m = f + -45. Suppose -a - 15 = m*c, 5*a + 1 - 6 = -5*c. Calculate k(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n**2*o - 599*n**2 + 2*n*o**4 + 408*o**2 wrt o?\nAnswer: n**2 + 8*n*o**3 + 816*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -458\/5 + 92. Let k = 6 - 8. Let t = -3543.7 - -3543. What is the closest to t in k, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 2*r**2 - 388 + 388.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5))**1*((x**4\/x)\/x)\/(x\/x**(2\/5))*(x**(-3)*x**(2\/3))**(8\/5) assuming x is positive.\nAnswer: x**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 - 4*v + 3. Let q be o(2). Suppose 5*c = -4*a - 25, 3*a - 4*a - q*c = 15. Suppose a = 4*f - 2*f - 110. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -27. What is the remainder when 12 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13235.44519 and 8?\nAnswer: 13243.44519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -7 + (1 - -17) - 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4745832 and 336?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 9*w - 10. Let b be y(7). Suppose 0*c - c = -b. Solve 2*x - c*x + 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -g. What is the closest to -0.1 in 3, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9*a**2 - 5*a - 53. Let y(i) be the first derivative of i**3 - i**2 - 18*i + 13. Let m(h) = 6*v(h) - 17*y(h). List the prime factors of m(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -373*p + 123. Calculate k(2).\nAnswer: -623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 + -43.8. Let c = 1.2 - n. Let q = -315 - -314. What is the nearest to q in 2, c, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2192721 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, s: 4}. Give prob of picking 3 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 - o**2 + 21 - 21.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, x: 2, u: 2, q: 2, c: 3, b: 5}. What is prob of sequence qbbu?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 7*f**2 - 11*f + 7. Let c be i(5). Let d be ((-3)\/c)\/(6\/(-16)). Let o = 8 - d. Solve -7 = -t + 2*q - o*q, 0 = -t - 4*q + 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92 - 92.9. Round x to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfff when four letters picked without replacement from {b: 1, w: 2, h: 2, g: 8, f: 5}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1628)\/(-5291))\/((-1)\/(-13)). Which is the third smallest value? (a) k (b) 1 (c) 2 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784238 is divided by 195697.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119676 is divided by 287?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 18*r = -10920. Let t be (1\/2)\/((-26)\/r). Are -9 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9647807023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*p = 3565 + 3472, 0 = -q - 3*p + 3520. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*d - 12, -6*l - 3*d = -l - 23. Suppose 0 = -l*t + 2*t. Let k = 33 + -23. Solve t = -s - s + k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 5:52 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4603, 9204, 13819, 18454, 23115, 27808, 32539?\nAnswer: 37314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10362903 to the nearest integer?\nAnswer: 3219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l**3 + 19*l**2 + 37*l + 32. Let p(v) = -v**3 - 5*v**2 - 9*v - 8. Let n(u) = -2*a(u) - 9*p(u). Give n(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10749288 to the nearest integer?\nAnswer: 3279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25202 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 600 - 573. What is the greatest common factor of 297 and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10399\/8 - -1307. Let w = 17071\/10 + -1703. What is the common denominator of w and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1249107507 + 110619\nAnswer: 110619.1249107507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1769, 3546, 5325, 7106, 8889, 10674?\n\"Answer: a**2 + 1774*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -31*v**3 + 3*v + 3. Let r(y) = -805*y**3 + 77*y + 77. Calculate 154*j(o) - 6*r(o).\nAnswer: 56*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 103249989 - (-1 + (-1 - 9)). Round a to the nearest one million.\nAnswer: 103000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.560647mg in micrograms?\nAnswer: 9560.647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 131190.894us in days?\nAnswer: 0.000001518413125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/5*1*(-275)\/(-495).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/1285560 and -79\/540.\nAnswer: 3856680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.5, 0.4 in ascending order.\nAnswer: -0.5, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 100*k**2 + 7*k - 46*k**2 + 6 + 2 - 1 - k**3 - 60*k**2. Let p be 12\/(-2)*(-4)\/(-12). Let m be p\/6 - 20\/3. Determine o(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 9\/8, 1.6, 3, 4, 1\/3?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, 11, 17?\n\"Answer: 6*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9521 - -18619. Calculate the remainder when w is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.462794233 to 3 decimal places.\nAnswer: 7.463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2*t + 7\/2*t**4 - 9\/2*t**3 - 5\/2*t**2 - 1.\nAnswer: (t - 1)**2*(t + 1)*(7*t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221671272 is divided by 92?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 25 = -27 - 26, -3*g = -2*f + 11 + 34 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*g + 30 = 2*z, -3*g + 32 = 4*z. Let l(t) = t - 13. Let n be l(14). Sort -5, n, z in increasing order.\nAnswer: -5, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -1. Let n = 3 - 5. Let y = b + n. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6438 take away 47246331.9?\nAnswer: -47252769.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 4*f**2 + 9. Let k(x) = 3*x. Determine j(k(p)).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2383347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 54\/(-6) - (-6)\/(-1). Is 1\/((-12)\/106182)*10\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53312 - -96762. Let c be t\/210 - 6\/(-63). What is the highest common factor of 23 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, j: 3}. Give prob of sequence jd.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7120199?\nAnswer: 263, 27073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 183*z + 997 - 1532*z - 997 to v + n*z and give n.\nAnswer: -1349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -85 in -3, -1\/10, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/4*7\/14. Let g be (957\/(-2))\/((-1)\/13814). Let c be g - (-1 + v\/(-3)). Round c to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-5*sqrt(38) + 3*(sqrt(38) + sqrt(342)\/sqrt(9)))\/(2*sqrt(2)*-5 - -4*(sqrt(14)\/sqrt(7) + sqrt(2) + sqrt(2))))**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (451*t - 681*t - 1079*t + (0 - t + 0)*(6 - 1 - 1) + 2*t + t - 2*t)*(-4 - 3 + 6) to the form q + w*t and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-36)\/10 + 20\/(-50). Let u(x) = -3*x - 12. Let k be u(w). Differentiate -49 + 64 - 30*o**k - 40 with respect to o.\nAnswer: -90*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1836\/5 - -6728\/15. Let h = -82 + q. Let y be -1*2 + (-112)\/(-42). Is h equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 2\/7 (b) -9 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -295 - -497. Suppose 52 = -s*i + 206*i. What is the highest common divisor of i and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/299 - (-51)\/156)*-44 + 56 + 2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + i - 269, 2*d + 3*i - 35 = 156. What is the remainder when d is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, d: 9, r: 5}. Give prob of sequence rvvd.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 275385 and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = i - 311. Suppose 0 = 3*v - 948 - i. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**6\/180 - 59*f**5\/120 + 19*f**4\/8 - 169*f**3\/36 + 14*f**2\/3 + 1369*f. Factor n(l).\nAnswer: (l - 56)*(l - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5853, -12, 0, 18, -3, -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7889\/6 - 2629\/2. What is the smallest value in 28, z, -5, -2, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1759, 3966, 6173?\n\"Answer: 2207*b - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 6*q**2 + 3*q - 3. Let y be x(-5). Suppose -y*w = -5*w - 76. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 divided by 342\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/34 - 177\/1666. Let c = 10 + -10. Suppose c = -4*v - 0 - 4. Which is smaller: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-25)\/(s**(-3\/28)*s))\/(s\/(s*(s\/((((s*s**5*s)\/s)\/s*s)\/s))\/s*s))**(-1\/9) assuming s is positive.\nAnswer: s**(-6413\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 109314.6 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6877521 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -37\/82850?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -59\/5*q - 252\/5 + 1\/5*q**2.\nAnswer: (q - 63)*(q + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmkl. What is prob of sequence mml?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31578995 and 63157990.\nAnswer: 63157990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15591164557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 10*r**2 - 10*r + 11. Let b be j(9). Suppose 3 = 3*l - 0*l. Solve l = -k + b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**6*l*l*l)\/l))\/(l\/(l**(-6)*l)))\/((l*l*l**(2\/7)\/l)\/((l\/l**(-1\/2))\/l)) assuming l is positive.\nAnswer: l**(-193\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1))**(-8\/5))**(2\/9))**(-27) assuming a is positive.\nAnswer: a**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.211 times -0.1?\nAnswer: -6.0211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25416 - 177914\/7. Suppose 5*m - 24 = -9. What is the second smallest value in i, -3, 0.04, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**3*k**2 + 3*b**3*k*x - 9*b*k**3*x - 52*b*k**3 wrt x.\nAnswer: 3*b**3*k - 9*b*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2. Let c(j) = -j + 240706. Give a(c(t)).\nAnswer: -t**2 + 481412*t - 57939378436","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 4:15 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, d: 5}. Give prob of picking 3 q.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12 - 990\/(-75))\/((-92)\/(-10)). Let r = -4143\/2 + 285757\/138. Let b = r + i. Which is bigger: 25 or b?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85880224\/441 + 194740. Let o = 2\/49 - v. Let b = 1007\/7 - 144. What is the closest to o in 2\/7, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 + 43*d - 35. Let f be s(20). What is the greatest common divisor of 10 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-5)*23*15\/18. Sort 2\/5, s, 2\/7.\nAnswer: s, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -747 - -745. Let c(a) = -a**2 + 3*a**2 - 3*a**2 + 1. Determine c(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(1 + 0) - 1. Suppose -3*n - 2*n = m. Let k(l) = -l - 16. Let y be k(-17). Which is greater: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-7)*5\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 3. Suppose -4*p - 14 = -5*g, -1 + 2 = -p. Calculate the least common multiple of g and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203331 + 10232030?\nAnswer: 11102021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, p: 5, k: 4}. What is prob of picking 1 p and 3 k?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 1422445.\nAnswer: 8534670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + 4.5. What is the nearest to 3 in 0.5, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swwerosrj. Give prob of picking 1 o and 1 r.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 594706*s**3 + 816649*s?\nAnswer: 3568236*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 2*q + 11*q + 12*q**2 - 23.\nAnswer: 12*q**2 + 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 11*r - 156 = -182, -3*j + 3*r = 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4874 + -4869. Suppose 26 = 3*g + 3*m - 5*m, 73 = 4*g + 5*m. Suppose 0 = -s*c + 6*c - g. Solve 3*l - c = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49529*q**4 + 16*q**3 + 2*q**2 + 52287257*q wrt q.\nAnswer: -594348*q**2 + 96*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 26. Suppose 4*q + s*q = 0. Solve -15 = 3*u - q*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9519242 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 950694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-5) + 192\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 14*h = -22. Let w be (-8)\/(-52) - (-1 + h\/(-13)). Solve 0 = -5*q + 15, -5*v - w*q + q + 8 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/((42\/(-147))\/(48\/420))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, 3, -2\/11, -341, 1 in descending order.\nAnswer: 4, 3, 1, 0.1, -2\/11, -341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from {j: 3, m: 1, p: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/1291 - 52955\/10328. Let o = -26573\/186 - -863\/6. Let u = o - 1264\/217. Find the common denominator of q and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 10 = 0, 23*n = 25*n - s - 153. Let t(w) = -5*w - n + 79 + w + 14*w. Let g(z) = 5*z**2. Give t(g(p)).\nAnswer: 50*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13275 is divided by 2654.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (3 - 5)) + -8 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2536 = 15031. List the prime factors of l.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/((-6)\/(-3) + -4). What is c in -3 - c**4 + 7*c**3 - 13*c**2 + c**b - c**3 + 9*c + c = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.1, 0.5, -3\/8, 3\/4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**4\/6 + c**3\/2 + 3*c**2\/2 + 4*c - 19. Let k(w) be the first derivative of g(w). What is the units digit of k(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 at most as big as 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-12)*(72\/10)\/(-9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((36\/(-14))\/6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p**2 + 30*p**2 - 2*p**2 - 2*p**2 - 2*p**2.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 4029 = 3675. Suppose 3*k = 5*k - y. What are the prime factors of k?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 13*d + 25*d - 51 = 0, -5*d + 29 = 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -83*j + 1501. Calculate z(31).\nAnswer: -1072","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -443025 - 4?\nAnswer: -443031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 10. Suppose w + 2*s + s + 53009 = b, -5*w + s = 264997. What is w rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16301416 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 8*b**2 - 401*b + 2558. Calculate x(6).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 5*u + 16, -4*u - 52 = 4*x + u. List the prime factors of (1\/(-3))\/(2\/x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a - 12. Let i be y(19). Let p = i + -136. Find the third derivative of -38*h**p + 46 - 96 - h**2 + 50 wrt h.\nAnswer: -912*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 535, -5, 3, 1, 5, -48 in increasing order.\nAnswer: -48, -5, 1, 3, 4, 5, 535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 4. Let j(w) = -5*w + 21. Let l(q) = -2*j(q) + 11*s(q). Let y(x) = 11 + 2*x - 9 - 7. Determine -9*l(h) - 4*y(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 464 - 231. What are the prime factors of m?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 3*c + 2*m - 10, -4*c + 1988*m = 1991*m - 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 4*l + 3*l + (-l - 2*l + l)*(-202 + 1 - 678) as c + a*l and give a.\nAnswer: 1766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 14*j**2 - 38*j + 232. Let u be b(10). Is 1253 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/144 and -26\/63?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5624 take away 0.5?\nAnswer: 5623.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*j + 92*j + 279*j.\nAnswer: 121*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3))**39 assuming p is positive.\nAnswer: p**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24049 - 10029. What are the prime factors of i?\nAnswer: 2, 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6885940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 561549 to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 40938 = 2*b, b = -h + 7438 + 13035. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 44?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**3 - 5*d**2 + 2. Let p be 0 + 2\/(-2) - 4. Let f be (66\/(-88))\/(2\/(-8)). Let l(i) = i**f + 8 + 2*i**2 - 3 - 6. What is p*l(w) - 2*q(w)?\nAnswer: w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-2*25\/6885). Let p = -275 + d. Factor 1\/5*b**4 + p*b + 0 - 3\/5*b**2 + 0*b**3.\nAnswer: b*(b - 1)**2*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1353431 (base 8) to base 5\nAnswer: -44221440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87343\/15 - -5823. Solve b*p**2 + 0 - 8\/15*p**3 + 0*p + 2\/3*p**4 - 4\/15*p**5 = 0 for p.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3196559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**4 - 3724*k**3 + 149976*k**2 - 555344*k + 540512 = 0.\nAnswer: 2, 38, 889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 3:01 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*b = 178*b - 1468. Let z = -367 - b. What is the closest to 0 in 1\/41, z, -1\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/44765544 and 37\/48.\nAnswer: 89531088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2292784?\nAnswer: 2, 13, 73, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t**3 + 13*t**2. Let q(c) = c - 3*c**2 - 2*c**3 - c. What is -2*n(y) - 9*q(y)?\nAnswer: 2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-9 - -8) - (12 + -24)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(567) + sqrt(567) + sqrt(567) - sqrt(567))**2*-4 + -1)*-2.\nAnswer: 864*sqrt(7) + 18218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33156.95mm to kilometers.\nAnswer: 0.03315695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 3652?\nAnswer: 3652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2277 - 1200. Let y = 583 - q. What are the prime factors of (y\/19)\/(0 - 1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, i: 4, d: 1, y: 2, m: 1}. What is prob of sequence yi?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46363471 a multiple of 1309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = v - 5*v. Let t = 27 + -22. Let i be 0 + -1 + (10 - t). Solve 1 - v = -i*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + (-594)\/(-212))\/((-14)\/4). Let u = -3\/53 + p. Which is the second smallest value? (a) 1\/5 (b) -1\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 395 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 851*n = 872*n - 273903. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 2\/17, 4\/9, -7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -4*l + 39. Suppose 679*c = 680*c - l. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 19*a. Let q(t) = 17*t**2 - 9*t**2 - t**2. What is q(s(j))?\nAnswer: 2527*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 4*z - 40, -3*z = 5*n - 13*n + 75 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 4*k**2 - 5*k. Let z = 4 - 2. Suppose 5*d + 5*q - 15 = 0, -3*d - z*q + 7 = -4. Give b(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1108*f - 28. What is u(-1)?\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1106967865 to the nearest integer?\nAnswer: 33271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/4 - (-4 - (-15090)\/(-4))?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**3 - 1032*a**2 - 88752*a = 0.\nAnswer: -172, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*r - 40*r - 3488. Let y = -122 - r. What are the prime factors of y?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/5))\/(m**(-2\/3)\/m))**(-16) assuming m is positive.\nAnswer: m**(-688\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.019231 * 4.\nAnswer: 0.076924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.069*-5\nAnswer: -0.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5 + 23*y**4 + 102*y**3 - 32*y**2 - 544*y = 0. Calculate y.\nAnswer: -17, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + (8 - (2 + -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126253948*w**3 + 2*w**2 + 725182499*w?\nAnswer: -757523688*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {g: 1, s: 2, v: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000 + 2223102223?\nAnswer: 2223101223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9))**(-5\/14) assuming g is positive.\nAnswer: g**(5\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxqceqcxqtl. Give prob of picking 1 t, 1 c, and 1 x.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/1510519 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00043289387 to five decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 556916*q*s**5 - 2*q - 777*s wrt s.\nAnswer: 11138320*q*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1337949 and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17, 1, -27, -73, -143, -243, -379, -557?\n\"Answer: -m**3 - 9*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55\/5116? (a) 0 (b) -4\/7 (c) -0.2 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 7 + 8)*(2*v + 5 - 5) + (v - 2 + 2)*(4 - 7 + 2) + (7*v - 2*v - 2*v)*(2 - 5 - 1) to c*v + w and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 + 0.54. Let c = 387.135 + -391. Let f = -0.135 + c. Sort r, 1\/4, f, -3.\nAnswer: f, -3, 1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6634 - -9410. What are the prime factors of q?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51650 (base 8) to base 12\nAnswer: -10488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6800 and 65.\nAnswer: -6735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -1767\/4, 1\/10, 3.3, 2\/5 in descending order.\nAnswer: 3.3, 2\/5, 1\/10, -3\/4, -1767\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*h + 54 = 0, -2*n + 4*h - 8 = -3*n. Suppose -8*b + 4*b = -n. Calculate the highest common divisor of b and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, s: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 3*w**2 + 1. Let q be r(-3). Suppose g + 2*c - c + q = 0, -2 = -4*g + 2*c. Sort -5, g, 0.1 in decreasing order.\nAnswer: 0.1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1000\/19 + 11760\/209. Let t(b) = b + 3. Let h be t(-3). Suppose h = -p + 2 - 5. Find the common denominator of y and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*q + 66*q + 32*q - 3648 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 73. What is the greatest common factor of o and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -193\/2 + 94. Let u = 18 - 43. Let h = u + 47\/2. Which is the nearest to 0? (a) h (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 4*i**2 + 2*i + 1. Let a(u) = u + 3. Let o = -3 - 4. Let w be a(o). What is c(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 8381\/697 - -19\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2 + 2 + 0 - m + 0 + (-2*m - 2 + 2)*(-2 - 2 + 3))*(-2 - 3 + 4)*(1539 - 1539 + 948*m).\nAnswer: -2844*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 19. Let j(r) = 3*r**2 - r - 1. Calculate the remainder when j(3) is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -453040102 (base 6) to base 11.\nAnswer: -4734402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 6*y + 13. Let l be z(-3). Solve -2*g = -3*g + l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15a3 (base 15) to base 4\nAnswer: 1020231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3, -2\/7, 0.4, 36?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1019, -1030, -1041, -1052, -1063, -1074?\nAnswer: -1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + 2 + -2*sqrt(2057)))**2.\nAnswer: -1100*sqrt(17) + 205725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 9*l - 5*l - 20550, -2*l = 5*u - 10286. What are the prime factors of l?\nAnswer: 2, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and -55 - -56 - 127*(-3)\/6*2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37578, 75062, 112546, 150030, 187514?\n\"Answer: 37484*m + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4596 and 2244?\nAnswer: 859452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, z: 2, b: 1, j: 1, k: 3, q: 1}. What is prob of sequence jaak?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 6 = w, -w - 3*w - 16 = -4*f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/28, 5\/3, 2\/5, -0.05, 27?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 10. Let j be k(-7). Suppose -6*i + 6 = -4*i - j*d, -2*i = -5*d - 10. Put -1, -22, -5, i in decreasing order.\nAnswer: i, -1, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31258173 to the power of 1\/3, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*f + 20557 = 0, w - 1048 - 3043 = -3*f. Calculate the remainder when w is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 54*g**2 + 12 - 13*g + 5*g - 58*g**2 = 0. Calculate g.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - 1. Let u(g) = -2*g - 1. Let z = -5 - -20. Let n = z + -9. What is n*u(l) - 5*b(l)?\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2291 and 70499?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 7*k**6\/30 + k**3\/3 + 8*k. Find the second derivative of l(n) wrt n.\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/52)\/(3\/10). Let r = 4723\/13 - 363. Let g = i + r. Sort g, 3\/8, -8 in ascending order.\nAnswer: -8, g, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 2*v + 14*v. Suppose 4*q - 2626 = -2*b + v*b, 0 = -2*q - 3*b + 1301. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 12 = 67. Suppose 15 = f*m - 8*m. Solve -u - m*n + 18 = -12, 2*u - 30 = -4*n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 219829, 3, 129 in increasing order.\nAnswer: 3, 129, 219829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*t - 7*t + 936. Let c be 19*2 - (-2 - -1). Calculate the greatest common factor of c and t.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 4, c: 15}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -447414.49 to the nearest one thousand.\nAnswer: -447000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.5, -11, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((1 - 3) + 1 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(1 + 24\/6). Suppose j = -7*d - 3 + 31. Put -0.3, d, -41 in descending order.\nAnswer: d, -0.3, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 5:46 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3011 (base 4) in base 16?\nAnswer: -c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o + 16*o - 309 = -108*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5080, 10158, 15236, 20314, 25392?\n\"Answer: 5078*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 79677*q. Let d(p) = 2*p**2. Give m(d(x)).\nAnswer: 159354*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -475, -871, -1267, -1663, -2059?\nAnswer: -2455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-3) - 20\/(-60). Solve -r*z + 10 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 225418 and 0.64.\nAnswer: 225418.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*h**2 - 147*h**2 + 324*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 - 13*o**2 + 7 - 7 to the form p*o + h*o**2 + x and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 2*m - 31977. Let b be x(0). Let n be 1666\/b + 2\/(-11). Let w = 1427\/171 + n. Find the common denominator of w and -59\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.5 (b) 5\/4 (c) -3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102001100103 - -2?\nAnswer: 102001100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16334692991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01140377 minus 185074.3?\nAnswer: -185074.31140377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4 - 22804704*z**3 - 136828128*z**2 - 273656192*z - 182437440.\nAnswer: -4*(z + 2)**3*(z + 5701170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 111 - 58 - 55. Let i(v) = -3*v - 5. Let w(u) = -u - 2. Let t(z) = 3*i(z) - 8*w(z). Give d(r) + 2*t(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 2\/5 (c) 4 (d) 0.06 (e) 45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 + 4 + j**3 - j**3 - 1 + j**3 - 2*j. Let a(d) = d**2 - 2*d - 1. Let z be a(3). Give n(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 960383.38 rounded to the nearest 10000?\nAnswer: 960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7747991956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-10)*(-6)\/1. Let n = 4 - z. Differentiate -n - 1 + 1 + c**4 wrt c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-34)*t**(-34)*(t*t**(-6))**(-1\/16) assuming t is positive.\nAnswer: t**(-1083\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 53, 69, 101, 155, 237, 353?\n\"Answer: p**3 + 2*p**2 + 3*p + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000037211703 to seven dps.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 1 (c) 1.84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2310672086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 9. Solve -2*z = -3*z + c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19\/(1140\/(-24))*-5. Let q(g) be the first derivative of 0*g**t - 46 - g**4 - g**5 - 1\/3*g**3 + 26*g. What is the third derivative of q(l) wrt l?\nAnswer: -120*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2338819779 plus 1?\nAnswer: -2338819778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-five halves of a week in hours?\nAnswer: 7980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b + 4*a + 10, -5*a - 23 = -4*b. Suppose -7*j = -6*j - b. Suppose -2 = l - 10. Solve -j*n = -d - 3, 3*n = 4*d - n + l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -3\/8, 0.1, -5, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**2 + 85*p + 90. Let x(o) = -5*o**2 + 85*o + 90. Let u(f) = -2*m(f) + 3*x(f). Suppose u(r) = 0. What is r?\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7 and 644.\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 116\/3. Let w = 87 + -47. Let y = -40 + w. Which is the closest to y? (a) j (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -284*c + 2397. What is the hundreds digit of t(-39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00906356 + -1.7?\nAnswer: -1.70906356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 17*d**2. Let g(t) = -t**2 - 16*t + 3. Let h be g(-15). Let u = h - 15. Let l(m) = 2*m + 3*m - u*m. Give s(l(k)).\nAnswer: 68*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 1 - 1)*(-2*r**2 - r**2 - 6*r**2 + (-r + 4*r - r)*(3*r + r - 5*r) - 4*r**2 + r**2 + 0*r**2 + (1 - 1 + r)*(-1 - 2*r + 1) + 2*r**2 - 3*r + 3*r).\nAnswer: 42*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5444, -176 in ascending order.\nAnswer: -176, -0.5, 5444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 27 = 3*j, 32*d - 31*d - 3 = -0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/7 + 16*z + 448.\nAnswer: (z + 56)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - k = 2*s + 3, 0 = -5*s - 4*k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 25 = -4*i. Suppose 5*g = -i + 35. Let d(b) = -b**2 + 9*b - 5. Let x be d(g). Calculate the greatest common factor of x and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -2 in decreasing order.\nAnswer: 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 15, -1\/4, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 75913793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 6*k + 5*k**3 + 104*k**3.\nAnswer: 109*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 9*j - 8. Let h be o(6). Let a = -71 + h. Solve 5*l = p + p + a, 2 = p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.26730864 rounded to 3 dps?\nAnswer: 13.267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 7*u**2 + 8*u + 2. Calculate w(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d**5 - 727620*d**4 - 82248368*d**3 - 2295872712*d**2 + 1789311168*d + 589537548 = 0.\nAnswer: -45363, -57, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 36*y**2 - 2. Let x(n) = 2*n + 2. Let t(a) = a**2 + 10*a + 10. Let s(m) = -2*t(m) + 10*x(m). What is f(s(g))?\nAnswer: 144*g**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.486 - -136?\nAnswer: 100.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*c**2*n - 14853*c**2 + 1114*c + 2*n + 240 wrt c.\nAnswer: -112*n - 29706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.34\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 3*w - 2*c + 12, 3*w - 36 = 3*c for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 589? (a) 0 (b) -59 (c) 1 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -904*f**2 + 76837*f + 342. Give h(85).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -666 - -321. Let p = 340 + q. Which is the third smallest value? (a) -0.2 (b) p (c) 4 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**3\/4 + 20523*g**2\/4 - 29627910*g + 32755152599 = 0.\nAnswer: 1439, 9542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3519756 divided by 9.\nAnswer: 391084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.042, -6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 16*x**2 + 2*x + 11. Let a be f(16). Suppose a = -5*b + 6*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 696\/165 - (7 - 4) - (-56)\/(-40)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*j**3 + 15*j**3 + 13*j**3 - 6*j - 8*j wrt j.\nAnswer: 84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y + 3. Let n be w(1). Which is the nearest to 3\/8? (a) 5 (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 0 - (-1 + 0). Suppose 0 = -q*p + p - 3. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92237797 + 92237797 - 17*o.\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-2)*16\/(-224)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 491 + -494. Let s be 0 + -5 - -3*1. Sort 4, s, 3, j.\nAnswer: j, s, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(-4)\/s*s)*s*s*s)\/(s*s**(-3))*s**(2\/17)*s*(s\/((s*s**(1\/8))\/s))\/s assuming s is positive.\nAnswer: s**(1631\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 less than -526240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 98725 a multiple of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49256 is divided by 6071.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8548399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 140?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(6\/11))**(-5\/9)\/(j\/((j\/j**(-17))\/j))**(-29) assuming j is positive.\nAnswer: j**(-15322\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -37231 less than -2?\nAnswer: 37229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 11. Suppose b + 9 = 2*a, 3*b + 22 = 3*a + u*a. Suppose -4*c - 6*x - 4 = -4*x, a = -5*c + 2*x. Is c greater than or equal to -6\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 24 = 4*d, 0 = 16*q - 13*q for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27\/166 - -8221\/996. Find the common denominator of ((-28)\/6)\/(4\/(-39)) and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20841736.\nAnswer: 2, 211, 12347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 26*z**2 - 26*z + 26. Let m be a(25). Let f be (m\/(6\/28))\/((-14)\/63). Is f > -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5992602748 to the power of 1\/5, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*b - 15 = 75*b + 5*r, -3*b - 1 = -5*r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - a**2)*((-a + a - 2*a)*(-4*a + a + 2*a) + 2*a**2 - a**2 + a**2 + 703*a - 703*a + 36*a**2).\nAnswer: -40*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 8:45 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 times -4?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2770 to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 3, -8, -1 in descending order.\nAnswer: 6, 3, 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q = 5*q - 95. List the prime factors of q*(2 + 1\/(-1)) + 524.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2\/4 - 6248*z - 74985\/4 = 0.\nAnswer: -3, 24995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 10*t**2 - 25*t - 5. Let y(s) = -10*s**2 + 25*s + 4. Let m(p) = -4*i(p) - 5*y(p). What is the second derivative of m(l) wrt l?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + 11 + -10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-14))\/((-4)\/(-14)). Let w = 4 + g. Let r(d) = d**2 - 5*d - 6. What is r(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, n: 1, f: 1, i: 2}. What is prob of picking 1 i and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*q - 80*q = 15*q - 966 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (139 - -2) + -3 + 2. Suppose -5*j + 3*k + u = -2*k, -5*j + 128 = -2*k. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + 8 + -18 - (-18 + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81733\/(-1645) - -48 - (-2)\/5.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27294 + -27291. Solve l*r = 5*y + 7, -r - 6*r - 4*y - 15 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 7. Let x be a(6). Let p(s) = -s**2 - 5*s - 5. Let o be p(-4). Does 21 divide 23 - x - (o + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1257 + -713. 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: Calculate 1\/(-1)*(-321)\/(-428)*(-2)\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v. Solve -12 = 4*n + 4*z, 5*n + v*z - 3*z - 17 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 324?\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133321 - -33310?\nAnswer: 233231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126319\/1036 - -3297\/37. Let w = d - -284\/7. Determine c, given that 21\/2*c**4 + 1 - w*c**2 + 23\/4*c**3 - 2*c = 0.\nAnswer: -1, -1\/2, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 23 = 25. Suppose 0 = a*m - 2530 - 50. Does 43 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*t**2 + 64*t + 297845 + 116*t**3 - 297845 + 12*t**4 = 0. What is t?\nAnswer: -8, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1224*m + 615*m + 608*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + sqrt(108) + 2 - (sqrt(108) + -4 + sqrt(108) + sqrt(108) + 0 - (4*(sqrt(108) + 1) - sqrt(108)))**2.\nAnswer: -67 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**5 - 254*q**4 - 7280*q**3 = 0?\nAnswer: -26, 0, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298*0.1.\nAnswer: 29.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30.1 + 30. Which is the nearest to q? (a) -1\/2 (b) -2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/36 and -139\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34547740 and 70?\nAnswer: 241834180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - j - 187. Calculate p(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401452 (base 6) to base 16.\nAnswer: 7b08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**5\/60 - 11*r**4\/24 - 5*r**3\/3 - r**2. Let t be z(11). Let c = t - -14. Calculate the greatest common factor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w - 5*s - 14, 5*s + 20 = 0. Let o(m) = -m**3 - 19*m**2 + 65*m - 13. Let k be o(-22). Factor -3*u + k*u**3 + 25*u - 33*u**w + 14*u - 12.\nAnswer: 3*(u - 2)*(u - 1)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 188\/(-13)) + 13*15\/(-13)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2550 by 850.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3011952 divided by -4.\nAnswer: -752988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 124 - 126 - 849*t - 1119*t - 922*t in the form b + k*t and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*s**4 + 1337*b + 864*s**4 wrt s.\nAnswer: -8*b*s**3 + 3456*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620) + -2*-4*sqrt(1620))\/(sqrt(640) - (sqrt(640) - ((sqrt(640) - -2*sqrt(640)*3) + sqrt(640)))).\nAnswer: 81*sqrt(2)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*52\/(-39)*(-2583)\/504?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5\/10 + q**4\/10 + 11*q**3\/10 - 29*q**2\/10 + 13*q\/5 - 4\/5.\nAnswer: -(q - 2)*(q - 1)**3*(q + 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -4*m - 15*o + 23, o - 39 = -2*m for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 9*c - 11. Suppose 0 = l - 4*o - 4, -3*o - 29 - 8 = -5*l. Let s be r(l). Put 2, -2, s in increasing order.\nAnswer: s, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 68119*j**3 - 43142?\nAnswer: 204357*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**6\/1080 - i**5\/180 + i**3\/2 - 4*i**2. Let s(r) be the first derivative of g(r). Solve s(q) = 0 for q.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -32. Let a be (-52)\/2*(-10 - f). What are the prime factors of (a\/(-12))\/((-1)\/3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33 + -63266?\nAnswer: -63233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 161 and 2?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 9296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 72*c**3 - 5 - 66*c**3.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206971, -413940, -620909, -827878, -1034847?\nAnswer: -1241816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*w**4 + w**3 - 58*w**2 - 25912.\nAnswer: 8*w**3 + 3*w**2 - 116*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -665, 7, -3, -5, 5.\nAnswer: -665, -5, -3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, s: 4, x: 5, m: 2}. Give prob of picking 1 m and 2 a.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 959130422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2035, 5 in descending order.\nAnswer: 2035, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j + 44. Let i be f(0). Let y = -42 + i. Let s be 1*3 - (-6)\/y. Solve -s - 4 = 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170830 - 170798 = 4*c + 4*p, -10 = 4*c - 3*p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6) - 646\/(-57). Solve -17*x + n*x - 24 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-9) + (-450)\/81 + (-120)\/(-48)?\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -17. Solve 2*v = -3*m - 5, -3*v - 6 = -3*m + k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 14 = 5*h - 2*n, 0 = -3*n - 12. Let q be (4 - 3)\/(-5)*h. Let t = -169.7 - -169.66. What is the nearest to t in 0.2, q, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from {m: 5, d: 2, u: 4, i: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 90*z + 629. Let n be p(90). Calculate the highest common factor of 74 and n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -671990 divided by -1?\nAnswer: 671990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7460, -7472, -7476, -7466, -7436, -7380, -7292, -7166?\nAnswer: -6996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 35973362*g**2. Let t(d) = -d**2. Give l(t(h)).\nAnswer: 35973362*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -740 + 4391\/6. Let u = 12 + 8. Find the common denominator of 1095\/(-18)*2\/u and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (5 + -4 + 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*u + 17*u - 17*u - 21*u - 29 wrt u.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 434\/28)\/(((-18)\/(-48))\/(2\/16))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296435465.\nAnswer: 5, 181, 327553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6+9711593054\nAnswer: 9711593060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -314.9 from -27.7748.\nAnswer: 287.1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 7 + 2 + 1 + l. Let d be s(-8). Suppose 3*y - d*y + 4300 = -n, -4*y = 3*n + 12900. What is n rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 21102?\nAnswer: -21102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 6. Let u be q(2). Suppose u*s - 1059 = -27. Let a(f) = -258*f + s*f + 4*f**2. Let o(x) = -3*x. Give a(o(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 18*q**2 - 41*q - 48. Let j be v(15). Solve -31 = -j*l + 29 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 13 = -2*t. Let l(p) = 28*p + 28. Let x(k) = 56*k + 55. Let a(g) = t*l(g) + 3*x(g). Does 26 divide a(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lplp when four letters picked without replacement from llrlrrrllrrpprr.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 46691, -4\/3, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146592 and 78048?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -246 - -265. Suppose -q*s + 201 + 312 = 0. Calculate the remainder when s is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -114841, -114853, -114865, -114877, -114889?\n\"Answer: -12*q - 114829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*k + 7, 3*t - 5*t + 3*k = -8. List the prime factors of -6*1*(0 - t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 217*m**3 - 227*m**3 - 203*m**3 + 45*m**3 + 120*m**3.\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11261, -11247, -11211, -11141, -11025, -10851, -10607?\nAnswer: -10281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 4*l**2 + 6*l - 6. Let i be y(5). Calculate the least common multiple of (-28)\/((i - 1) + 0) and 60\/(-9)*6\/(-4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -311?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 63927, 255669, 575233, 1022613, 1597803?\n\"Answer: -f**3 + 63917*f**2 - 2*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 10054.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -11. Let n = -34.56 - -33.56. Which is the nearest to d? (a) n (b) -3\/7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 6*r**2 + 3*r + 3. Let c(s) = -s**3 + 4*s**2 + 5*s - 5. Let f be c(5). List the prime factors of z(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/5 + (-4)\/(-10). Are 2\/29 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 32*p + 192. Let n be w(36). Let t = 9 - 2. Suppose 5*y - 23 - t = 0. Calculate the highest common divisor of y and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 348693076 to the nearest integer?\nAnswer: 18673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3773, 3740, 3699, 3662, 3641, 3648, 3695, 3794?\n\"Answer: 2*s**3 - 16*s**2 + s + 3786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -271137 + 2 + (-5)\/5. Let g = c + 190136. What is g rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**3 - 9*o**2 + o - 220. Is 44 a factor of t(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*a - 2*a**2 - a**2 + 890 - 889 in the form z + v*a + f*a**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -97063.8 rounded to the nearest one hundred?\nAnswer: -97100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.318 (b) -3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 7*a**3 - 13*a - 7. Let j(z) = 6*z**3 + z**2 - 12*z - 7. Let w(u) = -6*j(u) + 5*p(u). Give w(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/6)\/(12\/(-270)). Calculate the remainder when 25 is divided by (-3)\/b - 142\/(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 + 962699971*d**2 - 962699971*d**2.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -3*p + 9. List the prime factors of 3508\/16 + ((-9)\/12)\/p.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 16) to base 13.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + d - 2. Let h(t) = -65*t**3 - 31*t**2 + 3*t - 6. Let s(y) = 6*b(y) - 2*h(y). Find the third derivative of s(i) wrt i.\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 10*q**3 - 12*q**3 + 13*q**2 - 33*q**2 = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*q - 5 = 15, -4*k = 5*q - 34. Let l(b) = b**2 + 5*b + 6. Let u be l(-5). Are k and u unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62.77 + -63.77. Let h = 0.8 + 0.2. Let x = 1.5 - h. Sort l, -3\/4, x in increasing order.\nAnswer: l, -3\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k - 5. Let s be a(6). Let u = 46 + -7. What is the greatest common divisor of s and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 105 + 33 = -g, 2*g - 85 = -5*j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*k + 80 = -9*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + r**2 + r + 1. Let v(c) = 24*c**5 + 2*c**3 - 9*c**2 + 2*c + 2. Let n(t) = 2*q(t) - v(t). Find the third derivative of n(p) wrt p.\nAnswer: -1440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 39\/2, 5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -1.2.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.7 rounded to 0 decimal places?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -8*r + 9. Let l(d) = 2. Calculate -5*l(m) + t(m).\nAnswer: -8*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 12) in base 11?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 8 - 9 = 0. What is the nearest to -4\/3 in 0, r, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 71*z**2. Let w(k) = 7*k**2. Give p(w(u)).\nAnswer: 3479*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -784346 + 223141.\nAnswer: -561205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 0*f**2 + 0*f**4 + 2*f + 0*f**3 - 3\/20*f**5 - 1\/30*f**6 + 0. Determine q, given that b(q) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = -0*w. Suppose w*t + 35 = 7*t. Suppose 4*s - 4 = -i, -3*i - 2*s + 80 = -t*s. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 plus 4625318059?\nAnswer: 4625318121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 14*r + 147. Let l(a) = -5*a - 49. Let n(x) = 11*l(x) + 4*y(x). Let d be n(-26). Let v = 53 + d. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4901*u**2 - 265*u + 265*u.\nAnswer: 4901*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 3*b - 3. Give v(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 985908 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*m = 7815 - 6327 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 + 4*d + 1. Let l(x) = 2000*x**2 - 36*x + 363. Let j(n) = -l(n) - 9*t(n). Find the first derivative of j(f) wrt f.\nAnswer: -4054*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v + 6. What is o(-4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 - 151. Let f = 81.00000059 + i. Round f to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*l - 12, 5*d - 4*l - 6 = 17. Suppose -d*a + 390 = 114. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 13*c**2 + 12*c + 3. Let v be i(12). Suppose -21 = -3*j + v. Suppose -4*m + j = -8. Solve -x = m*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) -2 (c) 0.5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 337 and 6504437?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 j, 1 q, and 1 d when four letters picked without replacement from jsdtqqtg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -32*n**2 - 23. Let t(j) = -j**2. Calculate t(r(o)).\nAnswer: -1024*o**4 - 1472*o**2 - 529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-21))\/((-4)\/14). Suppose 0 = -2*x - 1 + 9. Sort x, g, 0.\nAnswer: 0, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4329055 is divided by 282?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 6:33 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27597 = 5*k - 4*x - 3225391, -2*x - 2602394 = -4*k. What is k rounded to the nearest ten thousand?\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**4\/2 + 55*u**2 + 39. What is the second derivative of n(k) wrt k?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017983 rounded to four decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -47248111300 rounded to the nearest one million?\nAnswer: -47248000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((760\/30)\/19)\/(20\/6)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 11:15 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 106 = -2*w. Suppose w + 48 = 6*q. Solve j = -4*d - 12, 0 = -d + 3*j - 6*j - q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 71. Let g = y - 27.0052. Round g to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87 - 15*i**4 - 87)*((0 - 5 + 3)*(1 - 1 + i) + i + i - 3*i + (0*i - 2*i + 3*i)*(-3 + 2 + 2) - 2*i + 3 - 3 + 10 - 10 + 11*i).\nAnswer: -105*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 435*j**2 - 52 - 46 - 26 + 124 in the form c + z*j**2 + g*j and give z.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1110000101001101011111?\nAnswer: 1110000101001101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**5 - 3*u**4 + u**3 + 3*u**2 = 0. What is u?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2602.57916+29841\nAnswer: 32443.57916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 - 12712?\nAnswer: -12670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363653 is divided by 30304.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8628623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1456 (base 12) to base 3\nAnswer: -10020210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31240 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.7, -1\/3, -5?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 54. Calculate the smallest common multiple of 60 and r.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16126482?\nAnswer: 2, 3, 2687747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand r + 2*r - 5*r - 3*r + 2*r - 2 + 3 + (-1 - 1 + 4)*(-2 - r + 2).\nAnswer: -5*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, s: 3}. What is prob of picking 1 s and 1 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -106) + -122 - -57.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6397, 6420, 6471, 6562, 6705, 6912, 7195?\n\"Answer: 2*p**3 + 2*p**2 + 3*p + 6390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**4\/24 + 154*s**2. Suppose 3*f + 3*v = 2*f + 8, f - 4*v = 36. Let g(r) = -10*r**2 + f*r**2 - 11*r + 8*r. Give g(x(o)).\nAnswer: 10*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -5\/2*k**3 + 0 - 1\/12*k**4 + 0*k - 37*k**2. Give c(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3976 + 3978. Which is the second smallest value? (a) -2 (b) -0.2 (c) -17\/52 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6\/b**(1\/9)*(b**(-5)\/b)\/(b*b**(6\/5)))\/((b*b**(-1))\/(b*b**(-3\/2)))**(-40) assuming b is positive.\nAnswer: b**(796\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 47c2 (base 14) in base 3?\nAnswer: 122011122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/98 and -45\/196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 128690760*a**3 - a**2 - 243446698 wrt a?\nAnswer: 386072280*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j. Let d(u) = 2*u + 2. Let w(i) = -3*d(i) - 3*t(i). Let r be w(-4). Let q = 6 - r. Solve 4*o - 11 - 9 = q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3572 + 3570)\/((4\/((-32)\/(-10)))\/(-2 - -1)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*g**3 - 2 + 2)*((-3 + 2 - 1)*(0*g**2 + g**2 - 2*g**2) + 0*g**2 + 4*g**2 - g**2).\nAnswer: -65*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 29 (b) 2\/5 (c) 0.37 (d) 43 (e) -13 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/4 and 73\/506.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 3. What is d(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 11*l - 14. Let u be n(10). Let p be 7\/(u\/12*2\/4). What is the remainder when 35 is divided by p\/(-35) - (-99)\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 18*c + 33. Let n(k) = 6*k + 11. Let q(m) = 11*n(m) - 4*v(m). Let z be q(-6). Suppose -z = -x + 55. What is the remainder when x is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1288 + -36087\/28. What is the common denominator of r and -2\/3?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51485657*m + 39657294 wrt m?\nAnswer: 51485657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/20, -4, -10590, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 54.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3725 + 12958 + 9567 = 84*r - 434*r for r.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 832 + (-473)\/(-86) + 10\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-36) - 899248\/(-144) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12187.\nAnswer: 7, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3. Let g be d(0). Suppose u = -g*u + 2. Let w(v) = 0*v + 0 - 2 - u*v. Let o(l) = -5*l - 4. Give -3*o(z) + 7*w(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 202*b**4 + 217*b**4 + 15 - 419*b**4 - 16*b**2 - 712*b**6 wrt b.\nAnswer: -85440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1925 - 1220 + 639 = -179*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 17*n + 20 = -21*n, 4*b + 4*n = 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e52 - a1?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 8*r - 2. Let q be z(-6). Let u be q\/8 - 1\/(-4). Let c = 5 + u. What is the highest common factor of c and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0 - -247)\/((-72)\/108). What is g rounded to the nearest ten?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -5.1. Let x be 133\/(-564) + (-28)\/16 + 2. Let g = -145\/282 + x. Which is the closest to 0.2? (a) 0 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -6.999918. What is j rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.4 - -68.4. What is the nearest to -1 in -2, o, 2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Suppose 0 = -3*f - 12, -4*f + 1 = 3*u + 8. Let k(i) = 6 + i - 3 - 4 + i**3 - u*i**2. Calculate k(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from cxxxxcxxxxxxx?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 1. Let d = 2 + -1. Let f be q(d). Is 162 - (-1 - -4 - f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1946064 + 1946068 + 0*u + 2*u - 6*u.\nAnswer: -4*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 28 = 4*x - 18, 3*v + x - 8 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000059406543 rounded to seven decimal places?\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1858318 is divided by 2581.\nAnswer: 2579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 597700378*q + q**2 - 597700378*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*j - 45*j + 81*j)*(-42*j**3 + 4*j**3 - 9*j**3)*(1 - j - 1).\nAnswer: -376*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n = 29 + 61. Solve -n*m + 6*m = k - 16, 5*m + 12 = -2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 3*j + 13. Calculate the greatest common divisor of j and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118593792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 202 + 20 = -4*i - 10, 3*i + 46*w - 41*w - 134 = 0 for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5 + 32*i**4 - 4*i**3 - 128*i**2.\nAnswer: i**2*(i - 2)*(i + 2)*(i + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(-1 + sqrt(720))*2.\nAnswer: -120*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 322 and 3584?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9347 - 9346. Which is the fourth biggest value? (a) -1 (b) 2 (c) 88\/13 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 2:20 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/24 and 37\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 7*l + 5. Let o be ((-6)\/(-15))\/(1\/5). Suppose -o*h = -3*h. Suppose -u - 12 + 8 = h. Let z(t) = -3*t - 2. Determine u*j(a) - 10*z(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1107 - -663. Let u be 4\/18 - t\/(-54). Let m = u + 44. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 84*t**2 - 199*t + 2300. Calculate u(86).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 234041 (base 6) in base 14?\nAnswer: 75a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 104930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 2. Let p = -1 + k. Suppose 5*x = x + p. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 5. Is 10 a factor of 2\/m - (-91)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-266)\/(-11) + (-36)\/198. Calculate the highest common divisor of 96 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5397712 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 381374 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73845866, 73845863, 73845860, 73845857, 73845854?\nAnswer: 73845851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**3 + 5*q**2 - 5*q. Let t(a) = -3*a**3 + 6*a**2 - 6*a. Let z be 10 + (-33)\/3 + 6. What is z*t(o) - 6*v(o)?\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*c - 18, -r - c + 2 = -2*r. Does 11 divide r\/(0 + 6\/(-33))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 plus 48871800?\nAnswer: 48871965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -53277\nAnswer: 159831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 94155853 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (820\/(-60))\/41*-216*-1?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5067 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n**3 + 2*n**2 - 6*n - 5. Let x(r) = 5*r**3 + r**2 - 5*r - 4. Determine -4*b(p) + 5*x(p).\nAnswer: p**3 - 3*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182737010 by -785.\nAnswer: 232786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 229973113 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-7)\/28 + -7. Sort -2, 5, 0.4, z in increasing order.\nAnswer: z, -2, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (82\/41)\/((-2)\/(-4*2)). Calculate the greatest common factor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23143 - -33428. Does 121 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from kltltlklk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6274, 0, 5.\nAnswer: 0, 5, 6274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w - w**2 + w + 7 + w**2 + 3*w**2. Let r(p) = 0 - p**2 - 4*p + 0 - 3. Let n(x) = 3*m(x) + 7*r(x). Find the second derivative of n(z) wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 8:57 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80927 and 16247?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 2. Let v = 0.1 + 4.9. Let o = 159.5 + -160. What is the second biggest value in t, v, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47.89997069 - -47.9. Round s to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -1, 1\/45149, 2\/7, 39?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 912 and 2076168?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*d + 22. Let b(i) = -4*i + 14. Let u be b(-8). Suppose -u - 28 = -37*v. Solve -d*a + 3 + 2 = -v*h, 0 = -5*h + 3*a + 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.058, -2\/13, 0.5, 5, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from ipjija.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5 + 2*o - 2*o**2 + 3*o**2 + 3*o. Let k be 5\/2 - (-6 + (-175)\/(-14)). Give s(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfmlklmlmfl. Give prob of sequence mmlm.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*z - z**3 + 117*z + 118*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1, -2, 5 in increasing order.\nAnswer: -2, -1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**0*y)**38\/(y**(-1))**43*y**(-2\/13)*y**(4\/5)*y*(y**0\/y)**48 assuming y is positive.\nAnswer: y**(7192\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -47*f - 44*f - 43*f - 45*f + 187*f. Let d(b) = 23*b. Calculate d(c(h)).\nAnswer: 184*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(-2*sqrt(1152)) + -6*(sqrt(243) - (0 + sqrt(243))).\nAnswer: -sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -3)\/((-9)\/(-258)). Let f be j\/20 - (6 - 1). Let a(b) = -b - 6. Let d be a(-5). Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((6\/(-9))\/(-2)). Let c(j) = -2*j**2 + 2*j**3 - 2*j + 3 + 5*j**2 + 0*j**l - j**3. Determine c(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67813189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*s + 43, s + 38 = 3*p - 146. Solve -w = -p + 60 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/4*(-2224)\/200716.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1478*c - 1 + 3605*c - 6503*c as f*c + m and give f.\nAnswer: -4376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1 - 2028*k**2 + 2019*k**2 - 4. Let p(t) = -2*t**2 - 1. Let y(q) = -2*h(q) + 10*p(q). Let u(d) = -d**2 - 6. Give y(u(w)).\nAnswer: -2*w**4 - 24*w**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - w = 4, 0 = -2*w - 2*w + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - j = 3*j. Suppose j = -2*r, -r = -4*s - 4*r. Suppose s = -19*t + 3*t + 64. Sort t, 19, 1, -4 in increasing order.\nAnswer: -4, 1, t, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/12)\/(1\/2). Suppose -2*u - 4*m + d + 0 = 0, -3*m = -3*u - 12. Is (6 + -4)\/u*-1721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6497688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**5\/30 - 1010*o**4\/3 + 4080400*o**3\/3 + 2*o**2 + 11*o - 15. Let q(j) = 0. Calculate j.\nAnswer: 2020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16704 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3*4\/(-12)*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254189, -254092, -253931, -253706, -253417, -253064?\nAnswer: -252647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9536329, 19072659, 28608989, 38145319, 47681649, 57217979?\nAnswer: 66754309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5*f - 15, -t + 10 = 2*f - 5. Solve -t = -2*y - y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3))**(-1\/36)*f**(-5)\/(f*f**(3\/5)) assuming f is positive.\nAnswer: f**(-1787\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 201*w - 210*w - 351. Let x be w\/104 + 54\/16. Calculate the highest common divisor of x and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31487 + 158?\nAnswer: 31656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2167*j = -682*j - 130680 for j.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - 1) + 23 + -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*x - 1218, 3*x - 3*f = 263 + 961. What is the greatest common divisor of x and 13837?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-x**2 - 3*x**2 + 11*x**2) + 303*x - 1030*x**2 + 2 - 301*x - 779*x**2.\nAnswer: -1795*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/1057 and -163\/4530.\nAnswer: 31710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 10. Let y(w) = -w + 1. What is c(d) + 3*y(d)?\nAnswer: -4*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhdbyiiiddiiii. What is prob of picking 3 d?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1) + -1 + -8 + 9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + (-77 - (37 + -82)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 601*d**2 + 21*d - 195. List the prime factors of g(-9).\nAnswer: 3, 17, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163945, -163905, -163865?\nAnswer: -163825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73351 - 35253 = -c. Let v = 2172619\/20 - c. Let h = v - 176\/5. What is the common denominator of 11\/4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 176\/40 - 4 - (-69)\/15\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 - -82 - -23*233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 300273550?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j\/(j*j**(-6)\/j))\/j*j**(-7)*j**(-1\/4)*j*((j*j*j**2*j*j*j)\/j)\/j)\/(((j*j*j**(-4\/7)*j*j)\/j**5)\/(j**0)**(3\/29)) assuming j is positive.\nAnswer: j**(233\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 182512 and 24888?\nAnswer: 547536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*i*o**4 - 75*i*o**3 - 3*i*o**2 - 2*i + 1045*o wrt o.\nAnswer: 144*i*o**2 - 450*i*o - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in minutes?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 876640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1461\/181 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -2\/15, 6, 0.1, 1261?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + k**2 + 2*k - 4. Let n(u) = u**3 + 1. Let m(p) = 4*p**3 - 7*p**2 + 2. Let v(q) = m(q) - 5*n(q). Let j be v(-7). Is f(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1360 and 748.\nAnswer: 14960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - q**2 - 3*q - 3. Let l(w) = 2*w**3 + 2*w**2 + 2*w + 2. Let t(m) = -m - 2. Let c be t(-5). Let y(h) = c*l(h) + 2*o(h). Factor y(k).\nAnswer: 2*k**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (160 - 5 + 24)*(-2*o**3 + o + 2*o**2 + 4*o**3 - o**3 + 2*o**4) to g*o**2 + u*o**4 + c*o**3 + a + h*o and give g.\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.8 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -5*m - b + 10, 18 = 3*m - 3*b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/10 + (3 - (-3 - (-6)\/2))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -33*j**6\/20 - j**5\/60 - j**4\/8 + 113*j**2. Find the third derivative of q(l) wrt l.\nAnswer: -1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81650?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + d**2 - 2*d**2)*(4 - 6 + 3)*(0 + 4 - 1)*(1 + 3 - 3).\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/146 + -287\/730. What is the smallest value in -5\/8, 0.5, -0.5, d?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/16*((-20)\/6 + 2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*p + 59*p + 184 = 0. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 400625*q**2 + 386449.\nAnswer: 801250*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 r when three letters picked without replacement from {g: 2, i: 1, r: 9, u: 2}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 7 = 5*w, 5*i - 2*w + 2 = 9*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-4))\/((-4)\/(-8))*16. Let k = -28 - b. Put k, 10, -1 in descending order.\nAnswer: 10, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -8) + (-2 - -9) + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7221932 rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14b47 + 3?\nAnswer: -14b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14115154289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 85, 446, 1055, 1918, 3041, 4430, 6091, 8030?\n\"Answer: n**3 + 118*n**2 - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**9\/756 - p**6\/120 + 2*p**3\/3 + 1. Let a(u) be the third derivative of t(u). Find the third derivative of a(r) wrt r.\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-1\/16)\/h))**19)**(1\/14) assuming h is positive.\nAnswer: h**(627\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -2 - (-4 - (8 - 8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + -66. Let h be 2*(2 + t) + (0 - 4). Solve h*m - 5*m = -3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19095\/2*z**2 - 1550*z + 125\/2*z**4 + 1550*z**3 - 9610 = 0.\nAnswer: -62\/5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 1 + 0 + 0*g**2)*(22*g - 48*g + 25*g).\nAnswer: -2*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 149639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by -14?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8)*(-8)\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3543198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -156*v**2 + 2*v + 51?\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8141 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 0 + 4*a**2 + 0*a**4 + 5\/6*a**3 - 3\/20*a**5 + 2*a. Let z be i(-4). What is the greatest common factor of z and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30812399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -18. Let q be 33\/(-7)*14\/(-4). Let y = q - 16. Sort n, 0.2, y in descending order.\nAnswer: n, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*r - 1656, 2*r - 2441 = -4*y + 883. What is the remainder when y is divided by 103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 1. Let s be o(-1). Let v(k) = -k - 12. Let d be v(-7). Sort s, d, 5 in increasing order.\nAnswer: d, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.43638395 plus 3?\nAnswer: -17.43638395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -293 - -293.1. Which is the smallest value? (a) -1\/2 (b) -53 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.885 + 0.035. Let f = l + -0.22. Let d = 1.70000045 - f. Round d to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, k: 2, p: 2, c: 8, d: 3, g: 1}. Give prob of picking 1 d, 1 k, 1 c, and 1 g.\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 17 = -3*g + 2*m, -17 = -5*g + 3*m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 152 = 131. Let h be (12 + -6)\/(2\/8). Suppose 0 = -4*l - 2*z + h, -5*l + 7 = -2*l - 4*z. Solve -3*n - q = -4*g, -2*n - l*g = -g + 22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39389, 41749, 44109, 46469?\nAnswer: 48829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 608*x**6\/15 + 1057*x**3\/6 + 512*x. Find the second derivative of r(k) wrt k.\nAnswer: 14592*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 2\/51, -5 in ascending order.\nAnswer: -5, 2\/51, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -3474 (c) -517\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlldlilli. What is prob of sequence did?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*c + 705 = 2*i, -3 = c. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + -3 + -2)\/(2\/6). Let c(w) = w - 1. What is c(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 873 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, y: 1, s: 2}. What is prob of picking 2 s, 1 y, and 1 m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v**(1\/27)\/v)\/v))\/v**(5\/9))\/((v**(-1\/49)*v)\/v**37) assuming v is positive.\nAnswer: v**(50840\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-1)\/1 + 4. Suppose 5*t - w = y*w + 104, -t - 3*w + 36 = 0. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 517053272 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**8\/420 + b**6\/360 + b**3\/2 - 4*b. Let o(q) be the second derivative of p(q). Find the third derivative of o(v) wrt v.\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 965 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5088 = -369*p + 51*p for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-217*y - 203*y + 155*y - 100*y)*(4*y**3 + 0*y**3 + 0*y**3).\nAnswer: -1460*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**2 - 9*u**2 + 5*u**2.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d + 3. Let q(v) = -v + 1 + 2*v - 3*v. Let g be 4\/2 - (6 + -5). Let f be g + -6 + (-12)\/4. What is f*q(t) + 3*m(t)?\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -445 divided by -5?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 3*d = k - 0*d - 202 + 169, -10*d = 4*k + 108 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 + 2*z**2 - 11*z + 21. Let a be j(4). What is the greatest common factor of 14 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/6)\/(((-112)\/(-24))\/14). Find the third derivative of 27*d**5 - 87*d**5 - 1220*d**o + 1282*d**2 wrt d.\nAnswer: -3600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 69357 and 0.19?\nAnswer: 69356.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -142\/305 - -4\/61. Suppose -c + 8 = c. Suppose 0 = -4*y + 2*d + d + 13, -15 = -3*y + c*d. Which is bigger: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 0. Let p be (-3 + 1)*s + 38. What is the greatest common factor of 24 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-91))\/(1\/(-3))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2048434234.\nAnswer: 2, 7, 11, 23, 578327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 2566432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.627946l in millilitres?\nAnswer: 4627.946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4712628 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -16032943.946 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 7:48 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t**2 - 1. Let m be n(1). Let v be (-45)\/(-10) - 4\/m. Suppose -v*y = -q + 2*q - 71, 5*y = -2*q + 122. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25244, 100906, 226892, 403106, 629452, 905834, 1232156, 1608322?\nAnswer: 2034236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 12, e: 1}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*t - 2)*(1 - t**2 - 1).\nAnswer: -2*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 28062 = 222. Does 24 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17658 is divided by 195?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - 45. Let j = 0.99 - q. Which is the biggest value? (a) 1\/4 (b) 5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23 and 5.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -4*o - 81*q + 78*q, -3*o + 2 = -5*q for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 260\/(-455)*1\/(-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 11*t + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 1\/2*0. Suppose -x - 5*k = u, x - k - 19 = k. Suppose 0 = 2*c - 9 - x. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 747209 or 746827?\nAnswer: 746827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*f - 1)*(f + 0*f + f) + 34 - 34 + 23*f**2 + 3*f**2 - 3*f**2 + 2*f**2 + (-18*f + 42*f + 18*f)*(-2*f - f + 2*f) as o + c*f**2 + r*f and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 20 = 0, 1863*t - 3*r - 14 = 1861*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1665757?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/10)\/((-4)\/20). Let y = -10 - -15. Let v(r) = r + 3. Let g be v(0). Put b, y, g in descending order.\nAnswer: b, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 150 + 40*l + 44\/3*l**3 - 41*l**2 - 1\/2*l**4. Find s, given that w(s) = 0.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -227 + 357. What is the remainder when q is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10 + 8\/20. Let d = x + 1. Is d bigger than -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63255 - -666251.\nAnswer: 602996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**7\/210 + 11*i**6\/120 + 22*i**3 - 157*i**2. Find the first derivative of j(f) wrt f.\nAnswer: 4*f**3 + 33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-5) + 1)\/(120\/400). Suppose -15*x + 4 = -13*x. Solve -l + 5 = 5*p + x*l, -l = -4*p + c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 9. Let t be r(6). Solve t*p + 4*n = -3, -p - p - 3*n = 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**2 + 87*g - 30. Give b(-22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, i: 11, m: 6}. What is prob of picking 1 i and 2 m?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (2 + -1))*(32 - 38). Let s(g) = 7*g**2 + 6*g. Let y(j) = 195*j**2 + 169*j. Determine v*y(x) + 169*s(x).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -5\/2, 5, -3, -2\/3, -0.006?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 241.\nAnswer: 7\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -2*x**3 - 7*x**2\/2 - 2*x. What is the derivative of v(i) wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l**(2\/19)))\/(l\/(l**(1\/4)\/l))*(l**(-1))**42 assuming l is positive.\nAnswer: l**(-3409\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2, -5*q - m + 215 = -6*m. Suppose -78 = -5*y + x + 77, -y = -5*x - 55. What is the greatest common divisor of y and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42946482647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-25)\/(-75))\/((-3)\/(-982791)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 738265383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*j - 21. Let g = j - 1. Calculate the greatest common factor of g and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 - -70.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 5*q - 35. Let i be w(-5). Is i\/45 - (-2696)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -317 * -0.47\nAnswer: 148.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**2 - 8485*a + 25410 = 0.\nAnswer: 3, 1694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*v + 2, -z - 3*v = 6. Let p(u) = -u + 2. Let k be p(z). Solve -2*o - k - 1 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -2.3 (c) 5 (d) -0.8 (e) -0.3 (f) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2 (b) 12 (c) -0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19\/42 - 2\/7. Let a = 9 - 8.8. What is the nearest to 2\/5 in p, a, -0.7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 8*g + 230 = -4*g, -5*g = s + 129. What is the smallest value in -5, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130277327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c - 1351 = 688 - 485. Sort -4, 5, c, 1 in decreasing order.\nAnswer: 5, 1, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Suppose -4*s - 5 - 3 = 2*j, c = s + 1. Let h(v) = 6*v - 4. Let q(o) = 55*o - 29*o + 1 - 27*o. What is j*h(a) - 10*q(a)?\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -13*m**4\/12 + 2*m**3\/3 - m**2\/2 + 510*m. Let g(k) = 14*k**2 - 5*k + 1. Give -4*g(o) - 5*v(o).\nAnswer: 9*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, t: 8}. Give prob of picking 2 t.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, p: 2, y: 3, f: 7, l: 5}. Give prob of sequence pf.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/2304 and -125\/186.\nAnswer: 71424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -289 - -289. Suppose -1107 = -2*l - v, m = 3*l + v - 3*v - 1664. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 12:44 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/6 - (-833)\/(-210) and -53\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, t: 4, u: 2, n: 4}. What is prob of sequence tu?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 14*j - 6. Let h be d(-11). What is h rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 5:04 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6307 (base 9) to base 8.\nAnswer: 11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6277 - -6293. Solve 0 = -3*n + v - 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 167 + 227. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -5*i + 89, 0 = 4*b - 3*i - 212 + 271 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456573511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 175817, 1, 20\/3 in ascending order.\nAnswer: -0.5, 1, 20\/3, 175817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.015 - -0.015. Let x = 12.4 + -2.4. Let q = x - 6. Which is the second smallest value? (a) q (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-997779)\/712)\/101 + -2 + 14\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3638, 7277, 10916?\n\"Answer: 3639*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3840 and 100380?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 333.82589 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3 + 3*f + 2 + 82. Calculate the least common multiple of d(-4) and 15.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -1.79?\nAnswer: 1.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1014 or 1026?\nAnswer: 1014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -19*k + 4. What are the prime factors of q(-2)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46380?\nAnswer: 2, 3, 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0223 and -0.6.\nAnswer: -0.01338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3*f**3*(f\/f**(1\/7))**(-17))**(-20\/9) assuming f is positive.\nAnswer: f**(400\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6841, 54265, 182847, 433165, 845797, 1461321, 2320315, 3463357?\nAnswer: 4931025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 15*a**3 - 13*a**2 - 3*a - 11. Let c(u) = 7*u**3 - 6*u**2 - 2*u - 4. Let i(k) = 5*c(k) - 2*s(k). What is the units digit of i(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 474 and 316?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 245301 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4426183 + -4426192.797355. Let u = m - -3.797369. Let w = -6 - u. What is w rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22094534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 10. Let u = 61093 + -916393\/15. What is the second biggest value in 27\/4, c, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from {s: 6, m: 9, l: 1, b: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/12*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/542, 1, -8, 2\/13?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -84. Let w = 39 + r. Is w != 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 14*f - 14. Let m be o(7). Let q = m - 84. Solve q = 4*y - 0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.338.\nAnswer: -0.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 244?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (2 - -2) + 5 - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*b + 54, -3*o - 97 = -3*b - 13. What is the greatest common factor of 810 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3119 = -5*m - t, -8*t + 10*t - 631 = -m. Let p = m + -354. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -232*m + 236*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from ewwemcedmcmxc.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 132 - -1?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 555*c - 531*c + 120 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-25)\/(-2) + -4)*16 - 1. Let m = 1492 - t. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*f*k - b**2*k**2 - 2*b**2 + 10*b*f*k**2 - f*k**3 - 2*f*k - 2*k wrt k.\nAnswer: -2*b**2 + 20*b*f - 6*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 + -2.06. Let p = 2.1 + a. Let k = 0.4 - p. What is the closest to 2\/3 in -0.5, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 429 = 5*f, 6*f - 182 = -v + 2*f. Solve v*d = 186*d - 80 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2. Let m(d) = 3*d**2. Determine 9*k(s) - 3*m(s).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 1, m: 1}. Give prob of sequence em.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3367623 by -31.\nAnswer: 108633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7385 divided by -355?\nAnswer: -1477\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 17664.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3 + 3. Is (3 - 58\/6)*(-30)\/v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 6:34 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and (-1)\/(1 + (-6)\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 + 6*w + 10. Let z be a(4). Let f be (248\/155)\/(z\/5). What is the highest common divisor of f and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 139 = 155. Suppose -k - 4*t - 5 = -4, -5*t = -4*k + 17. Suppose c + 2*c = -k*d + 129, -c = -x. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmm when three letters picked without replacement from zpppzppxxmpzxpm?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 4:07 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3\/7 - 181379900*y**2\/7 - 2056166667060672*y\/7 + 2056166848440576\/7.\nAnswer: -4*(y - 1)*(y + 22672488)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (252\/96)\/((-6)\/(-8))*4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6492 - 11.\nAnswer: -6503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 635180*q - 15 - 10.\nAnswer: 635180*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 42825, 42824, 42823, 42822?\n\"Answer: -o + 42826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 3*z - 4. Suppose -5*o + 17 = 4*k, -2*o - 6 + 14 = 2*k. Calculate q(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2211*g = -1115*g - 87680 for g.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-80)\/6))\/((-67)\/(5896\/(-1)))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -234 (base 6) to base 4\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 - 213*i**2 + 2168*i + 1594. Calculate z(95).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -61941, -118.\nAnswer: -61941, -118, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 814 + -827. Let c be (-2)\/o - 1792\/(-182). Solve 5*d + 5 + c = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 105*c*j*o - 2*c*j - 2*c*o*v - 2*c*v + 4*c - j*o + 14*j*v - 2*o*v - 26*v with respect to v.\nAnswer: -2*c*o - 2*c + 14*j - 2*o - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -335233 + 0?\nAnswer: -335233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1851, -7523, -16961, -30153, -47087, -67751, -92133?\nAnswer: -120221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8800 or 8571?\nAnswer: 8800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 7*s)*(-6*s + 3*s + 2*s)*(-40*s - 59*s + 15*s).\nAnswer: 588*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}