diff --git "a/data/dm_maths/full_data/11177_11255.jsonl" "b/data/dm_maths/full_data/11177_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11177_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify ((((j**(2\/27)\/j)\/j)\/j)**10)**(-4\/21) assuming j is positive.\nAnswer: j**(3160\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 349\/386571 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*y - 8 = 0. Let w be 1\/y + (1 - 1). Let u be -3 - -1 - (-1 - 0). What is the closest to u in -1, w, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1501 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, s: 2, c: 1}. Give prob of picking 1 c and 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3*f + 131*f**2 + 2 - 541*f**2.\nAnswer: -410*f**2 - 3*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1609.5 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*101*(2\/5)\/((-208)\/520)*1.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1085*l**4 - 1552*l wrt l.\nAnswer: -13020*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1421898 is divided by 710933?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011 (base 2) to base 13.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.56203 + -55.05597. Let l = 0.382 - u. What is the nearest to -1\/4 in 2, l, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60428 equal to -60417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1153, -1160, -1181, -1222, -1289, -1388, -1525, -1706?\n\"Answer: -i**3 - i**2 + 3*i - 1154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -4*l**3\/3 + 2. Let u(a) = -10*a - 37*a - 12*a + 69*a. Give h(u(z)).\nAnswer: -400*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -304 - -304. What is the second smallest value in 2\/43, 3, o, 2\/3?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -17*n - 10. Let l be i(16). Let u be -3 - ((-3)\/(-6))\/((-2)\/(-1580)). Let w = l - u. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 565 + -49. Suppose v - p - 493 = 0. Suppose -4*x + 4*d = 3*d - v, -3*d = 15. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**3\/7 - 792*x**2\/7 + 2412*x\/7 = 0?\nAnswer: -201, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/9, -5, 0.6.\nAnswer: -5, -1, 2\/9, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 29 = o, 0 = -2*o + 4*w - 7*w + 63. Suppose -2*k - 3 = -5, 3*k = -3*h + o. Sort 2, -1, h in increasing order.\nAnswer: -1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -k - 0*k. Let f = -183408 + 183420. What is the greatest common factor of f and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -25*c. What is u(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56325 and 16203576.\nAnswer: 2253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*u**3 + 500*u**3 - 826*u**3.\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3))**(-43)\/((c\/c**(2\/5))\/(c*c**(-10)\/c)))**(-3\/17) assuming c is positive.\nAnswer: c**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/sqrt(8)*5 + -1.\nAnswer: -1 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 38, 58, 110, 206, 358, 578, 878?\nAnswer: 1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 456 and 72754572.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (253\/77 - 10\/2)\/((-6)\/(-63))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2578747 equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/57 (b) 0.4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8074*h + 69. Is x(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 11*k + 19. Let q be t(9). Solve q = 2*p - 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z + z - 4*z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/21)*f\/f**10)**(6\/37))**(-10\/11) assuming f is positive.\nAnswer: f**(3820\/2849)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 n when three letters picked without replacement from zxzxmxmxxmmnnmmnmmmz.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 11566 = -13749 + 2191. Calculate the greatest common divisor of 47 and p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 + -12. Suppose 0 = -3*x + 5*d + 31, -5*x - d = -3*d - 39. Calculate the greatest common factor of v and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*t - t**3 + 486 + 71*t - 225.\nAnswer: -t**3 - 3*t + 261","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -138, -1, 4, 1 in ascending order.\nAnswer: -138, -1, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 401692 a multiple of 431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, x: 2, h: 7}. Give prob of picking 2 h.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**2\/(t*t\/t**(-2\/7))*t**6\/(t**(4\/9)*t)*((t**(1\/2))**11)**20 assuming t is positive.\nAnswer: t**(7199\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**4 + 96*o**3 - 423*o**2 + 324*o = 0 for o.\nAnswer: -36, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 - 6*h - 1. Let v(p) = -p**3 - p**2 + 2*p + 2. What is the least common multiple of v(-2) and a(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 20 = d, 3*b - 10 = 5*d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1423*r. Let a(w) be the first derivative of w**2\/2 + 3518. What is m(a(n))?\nAnswer: -1423*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/((-37)\/(37\/(-186))).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4615, -9980, -16101, -22972, -30587, -38940?\n\"Answer: t**3 - 384*t**2 - 4220*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -20*q**3 + 6*q**2 - 86*q - 92. Give r(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -312319.\nAnswer: 312319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 30. Let c = m - 0. Calculate the remainder when 53 is divided by 180\/16 + c\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7 + (-64)\/28. Is 128\/((2 - -1)\/((-33)\/j)) a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 13. Solve 6 = a*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565959?\nAnswer: 3, 188653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -53*u + 3 - 3 + 17*u + 27*u. Let q(t) be the third derivative of -t**5\/30 + t**2. Calculate q(d(o)).\nAnswer: -162*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -25. Suppose -20 = -7*x + g*x. Solve 0 = -4*b + 3*b + x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20591 is divided by 156.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/92 + (-56)\/1472.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 180.48 + -225.98. What is the closest to -1 in -4, z, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 260178*s. Let y(r) = -223*r**2. Determine y(g(p)).\nAnswer: -15095447945532*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-48)*2)\/((-3)\/(-8)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 20010\/(-40) - (-15)\/12. Is -498 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + 80\/(-44) - (-4)\/(-22). Let o be ((1 - 2) + 2)\/((-3)\/(-48)). Solve 4*m = -o - t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 5*o - 2*d, -o = -2*d + 1 - 12. Sort o, 3, -0.12 in increasing order.\nAnswer: -0.12, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2560 (base 7) in base 9?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2184 and -37\/9882600?\nAnswer: 9882600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 1. Suppose -3*h - 12 = -3*a + d*a, 9 = -3*h. Let j be a\/(0 - 1\/12). What is the highest common divisor of j and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 8*o + 9 = o - o - 35, -5*a - 5*o = -70 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34541748 to the nearest integer?\nAnswer: 5877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47588097?\nAnswer: 3, 15862699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 62\/(-3)*(-2187)\/18. Let l = r - 40253\/16. What is the common denominator of l and -91\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63394*z**2 + 63396*z + 2.\nAnswer: 2*(z + 1)*(31697*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-28) + 0)*14\/(-1). What is the second biggest value in 1\/4, 21, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*q + 170*q - 18144 = -42*q for q.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 - -393. Let w = 5 + -3. Suppose -w*u - u = -g. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 1:39 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 8:00 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -47*b**2 - 1. Let n(v) = -2*v**2. Determine n(c(f)).\nAnswer: -4418*f**4 - 188*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*s - 26 = 0, 3 - 8 = p + 3*s. Let u(w) = -2*w + 1. Let v be u(-2). Suppose -c - p = -5*c - 4*n, -v = -4*c - 3*n. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208926 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 2*b, 4*h - 2*b = 16. Let s = h - 1. Suppose 2*u = 3*x - 30, -5*x - u = s*u - 72. Calculate the remainder when 35 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 9:19 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5\/8 + 1297*a**4\/8 - 5581*a**3\/8 + 7283*a**2\/8 - 749*a\/2 = 0. What is a?\nAnswer: 0, 1, 7\/3, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-9) + 2\/6. Let t = 4 + -3. What is the nearest to t in m, -5, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 833888987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.05*-0.0552.\nAnswer: -0.05796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97121*m**3 - 32*m**2 - 10*m + 0*m**2 + 97137*m**3 to the form z + y*m + h*m**3 + r*m**2 and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**4\/4 - 7*u**3\/3 - 3*u**2 - 19*u - 36. Let h be w(8). Which is the closest to 0.4? (a) 0.3 (b) 5\/4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-2)*10\/4. Suppose 0*v - j*v = -60. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7178, 13268, 19360, 25454, 31550, 37648?\n\"Answer: v**2 + 6087*v + 1090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68241999.\nAnswer: 3, 7, 41, 79259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/133152 and -7\/40812?\nAnswer: 23834208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 336058520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.01 + 50.69. Let j = 61 - g. Which is the third biggest value? (a) j (b) 1\/11 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -58572*p. Let c(i) = 7*i**2. Give c(a(s)).\nAnswer: 24014754288*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174 (base 8) to base 2.\nAnswer: 1111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q - 37621. Let r(h) = h - 26872. Let f(t) = -5*p(t) + 7*r(t). Suppose -10 = -0*y - 5*y. Let o(z) = 2 - 2 + y*z. What is o(f(v))?\nAnswer: -6*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 14665*w**2 - 44180*w - 411040.\nAnswer: 5*(w - 7)*(w + 4)*(w + 2936)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**4\/2 + 1139*n**3\/2 - 2856*n**2 + 4574*n - 2288 = 0.\nAnswer: -1144, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32994 - 32649. Which is bigger: 325 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*v - v - 64, v + o = 31. Solve -28*y + v*y = -10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508*t + 675 = -465*t - 25596 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 2:41 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1274*g**5 - 1466*g**3 + 252*g**2 + 3*g - 336.\nAnswer: 76440*g**2 - 8796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -12.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v = -26*v + 55. Let z = v - 53. Solve -5 = -z*g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 2, w: 4, n: 1, k: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-4 + 6 + 0 + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 3, k: 9}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-5))\/(3\/(-15)). Suppose -5*h + 25 = -h + a, 2*h + d*a = 25. Suppose -h*l = 2*b - 617, l - 4*b = 6*l - 619. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 16 - (236 + -214)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 175\nAnswer: 87.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63 - 5*t**2 + 164518*t - 164518*t to the form a*t + j*t**2 + u and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npbpnnnnpbnppbpbnp. Give prob of sequence npbn.\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2086485*o**3 - 8724149*o**2 - 2*o wrt o?\nAnswer: 12518910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2044842.\nAnswer: 2, 3, 37, 61, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -655? (a) -9 (b) -2\/13 (c) 0.4 (d) 19 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j + 9 = -8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1105 and 1053?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -25*k**3\/3 + 5*k**2 + 2. Let r(t) = 24*t**2 - 9*t. Let d(m) = 6*r(m) + 5*w(m). Find the second derivative of d(n) wrt n.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = c - 6092, -30384 = -5*c - 3*f + 4*f. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 4.\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11.14 + -886\nAnswer: -874.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 13 = -3. Suppose 0 = -p*g + 2844 + 331. Is -1*(-1 - -1 - g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/4 + 53\/36. Which is the closest to 1\/3? (a) -0.2 (b) 2 (c) t (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 2:12 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**3 + 10*b**2 - 2*b + 5. Let m(h) = 2*h**3 + 9*h**2 - 2*h + 6. Let p(q) = -5*g(q) + 6*m(q). Find the second derivative of p(x) wrt x.\nAnswer: -18*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.94 - 23. Let n be (-1 - -3) + (-20)\/(-24)*-3. Which is the second biggest value? (a) 1 (b) s (c) -0.3 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3838 + 3845 + 341*r**2 + 3838 + 3836 - 15357.\nAnswer: 341*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 - 437\/5. Which is smaller: d or 21?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*z - 18 = 77*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5058550 - 2529162 - 2529388 - h**2 - 5*h**2 + 4*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 118 and 14.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 = 3*t - 15. Suppose 2*k - k + 2 = 0. Let n = t + k. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2226.67452 rounded to 1 decimal place?\nAnswer: -2226.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -107233*h**3*j**2 - 4*h**2*j**2 + 9*h - 8*j**2 - 162 wrt h?\nAnswer: -643398*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 950833 is divided by 4523?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 897715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -53*y**4\/4 - 2*y**3\/3 - 2*y**2 - 2*y + 11. Is p(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6355 = -13*l - 6*l + 10517. Calculate the highest common divisor of 384 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 525 divided by 183191.\nAnswer: 525\/183191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 + -5. Suppose -d = d + w. Let o = d - -45. Solve 0*f = -2*f + o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 5:17 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 1114677.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16254 divided by 903.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 9:17 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by -158?\nAnswer: 35\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i**2 + 40*i + 96. Let a(k) = 4*k**2 + 27*k + 64. Let s(n) = 8*a(n) - 5*u(n). Factor s(q).\nAnswer: 2*(q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1590, -162, -1914, -3666, -5418, -7170?\nAnswer: -8922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1102334 + 14?\nAnswer: 1102403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*l = -3*i + 22, -i = -3*l + 3. Suppose 8*y + 232 = i*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -i + 4*i, 3*i = 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 4*q - 7. Let y = 23 - 29. Calculate m(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2223646*q - 7. Let a(j) = -j. What is a(s(u))?\nAnswer: -2223646*u + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 5*d + 33, -21 = -5*x + 4*d - 52. Is -7 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -9*k + 41. Let p be i(5). What is the tens digit of -4 + 427 + (-3 - p) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(13\/6))**(-12)*(d*d**(1\/2)\/d*d\/d**(3\/5))**(2\/51) assuming d is positive.\nAnswer: d**(2213\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78043 is divided by 1442?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(102) - (sqrt(102) + sqrt(102)*1 + sqrt(102))) + sqrt(102))*4)\/(sqrt(384)*1))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*1040\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*b - 4*u - 21, 0 = 2*b - u - 11. Suppose 3 + 21 = b*q. Let g(c) = -2*c - 1. Calculate g(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((10 - 19) + -7) - -9?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7*i + 71. Give c(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 at least 285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (-6 + 4 - -2). Let d = -43\/2 - -22. Let y = 0.1 + -0.1. Which is the smallest value? (a) z (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33708.122 + -33739. Round v to zero dps.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97727110751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015326984 to seven decimal places.\nAnswer: 0.0001533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 562383*l**4 + 113*l**2 - 246*l + 1.\nAnswer: 13497192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - r + 2*r + 15 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence haa when three letters picked without replacement from wawwwhsa.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a meter in centimeters?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 1. Let m(x) = 6*x + 4 - 13*x + 4*x + 7*x. Let d(f) = 7*k(f) - 2*m(f). Let c be d(-6). What is the third smallest value in 0, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94\/((-43428)\/1078))\/((-3)\/(333\/7)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -101427.\nAnswer: 2\/101427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*q + 5, 0 = 2*p + 7*q - 3*q + 30. Let j = -37 + 25. Let y = p - j. Solve -y*s = 4*h + 4, -4*h - 5 = h + s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 2*u + 31. Suppose -4*y + 351 = d - 99, -5*d + 10 = 0. What is the highest common divisor of u and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 47347 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 435187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/3, 1\/4, -0.051, 1\/17, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(966\/14)*(-5)\/((-40)\/(-18))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 9 = -43. Let t = s + -50. Let n(d) = -4*d + 3*d - 1 + 4*d**2 - 3*d**t + 2*d. Let r(q) = 3*q**2 + 4*q - 2. Determine -2*n(c) + r(c).\nAnswer: c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -8)*(-9)\/6*1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*h - 33*h - 40 + 75 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 + a**2 - a + 2. Let l = -1 + -1. Let s be f(l). Let k be (4\/(-5))\/(s\/60). Solve 2*u - 23 = -3*b - 0*b, -2*b + 4*u - k = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009948 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -0.0188?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3257*d = -3274*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**5\/20 + g**4\/6 - g**3\/2 + 2*g**2 + 3*g. Calculate t(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*d + 2*w, -5*d + 16*w = 13*w - 25 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7628, 7663, 7700, 7739?\nAnswer: 7780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 437819 and 5.\nAnswer: 2189095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -643, -627, -611?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - -7fc62c9?\nAnswer: 7fc62be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in years?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5707259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, l: 7, x: 1}. Give prob of picking 1 l, 1 x, and 1 a.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - (sqrt(121) - (sqrt(121) + sqrt(121)*2*6 + sqrt(121))))*4)\/(sqrt(88)\/(sqrt(392)*1))*3.\nAnswer: 1176*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 + 2*r**2 - 3*r + 2. Let y be i(1). Suppose 0 = z + y*z + 5*u - 9225, -3*z - u + 5539 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -519379*t**4 - 31896*t**2 - 2*t - 5 wrt t.\nAnswer: -12465096*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 28 = -7*p. Let m(x) = -x + 10. Let k be 76\/10 + (-6)\/10. Let z be m(k). Solve -z*w - 16 = -p*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 4 = 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34105 and 2863025?\nAnswer: 1795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(7\/6)*c\/(c*c**(4\/7)))\/(c\/(c**(-4\/15)\/c)*c**11\/c))**(-20\/7) assuming c is positive.\nAnswer: c**(1634\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/138 and -46\/21.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 767 + 769 - 1545. Give q(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0387871 to four decimal places.\nAnswer: 0.0388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 175, 358, 541?\n\"Answer: 183*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dggddggdgd. What is prob of picking 4 d?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 1085.\nAnswer: -9\/1085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -35 + (35 - -13) + -20\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1974.4 - 1974. Put -5, -1\/2, c, -6.6, 3 in increasing order.\nAnswer: -6.6, -5, -1\/2, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(3 - (-20)\/(-12)). Let v be (q + 3)\/(-1)*5. Solve -d = -3*m + 15 - 1, -3*m + v*d = -34 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 11.4?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 50a3a - 26?\nAnswer: 50a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -162*g + 207 wrt g?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + (1 - -1))*1. Suppose 16 = -4*a - 4*t, a + a - 4 = t. Let f be 1 + 4 + -2 + a. Solve -f*z + 4*w = l, -z - 4*z = 3*w + 29 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-10))\/(4\/(-140)). Suppose 2*h = -2*d + l, -36 = -4*d - 5*h - 3. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 36?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-18) + (-4)\/18. Let r = l - -1. Suppose 0 = -2*o + 7 - r. Solve -o*j - 1 = -16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75042281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*c**2 + 25*c - 25*c as o + k*c**2 + a*c and give k.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 15*s**2 + 13*s + 8. Let a be n(14). Let r(u) = u + 1. Let w(x) = -118*x + 3 + 238*x - 118*x + x**2. Give a*r(q) + 2*w(q).\nAnswer: 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -54, -100, -178, -300?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 27. Let k = 32 + -27. Let c = -3 - 2. Sort j, c, k in ascending order.\nAnswer: c, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**5 - c**3 + 2*c**2 - 1. Let n(s) = 135*s**5 + 2*s**3 - 7*s**2 + 232. Let a(g) = 3*k(g) + n(g). Find the third derivative of a(t) wrt t.\nAnswer: 7920*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o - 6 = -31. Which is the second biggest value? (a) -3\/4 (b) o (c) -0.3 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*-3*(-1 + 2). Let h be 10\/((-10)\/(-6) - 2). Let r be (-3)\/(-6) + a\/h. Do 2 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/(-7))\/(4\/7*20\/(-40))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 166?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 6*u - 3. Let r be g(4). Suppose q + r = 2*t + 1, 0 = q + 4. Solve 4*d - 5*f = 9, -3*d + 5 = -t*f - 2*f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttg when three letters picked without replacement from tgttd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 - 11654*d**2 - 67 + 41311*d**2 - 69.\nAnswer: 29657*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4455)*2)\/(1*sqrt(45)))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-3)\/(-6)*1). Let n(a) = -a**3 + 9*a**2 - 8*a + 9. Let u(f) = 2*f**2 - 2*f + 2. Calculate w*n(i) - 9*u(i).\nAnswer: -2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/9 + 1\/3. Suppose -2*h + 4*f + 48 = 2*h, 4*h - z*f = 52. Let d(y) = h - 16 - y**2 - 4*y. Determine d(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17\/(-18) - (-3)\/(-6). Let g = 73\/63 + r. Let l be 2\/(-3)*(-6)\/4. Which is the nearest to l? (a) 0.4 (b) g (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 5*d - 21*h + 17*h, -2*d + h = -35. What is the least common multiple of d and -2 + -2 - (-3 - (0 + 5))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17374670, 17374674, 17374676, 17374676?\n\"Answer: -v**2 + 7*v + 17374664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -173 divided by 6\nAnswer: -173\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115934 and 1372?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1523 and -0.07 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*c + 908 = 1340 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(228) - -1*sqrt(228))\/sqrt(12) + -2 + (sqrt(475) - ((sqrt(475) + (5 + sqrt(475) - sqrt(475)))*-5 + sqrt(475)))**2.\nAnswer: 1252*sqrt(19) + 12499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 7:56 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, r: 11}. What is prob of sequence rrrl?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5593988 is divided by 233082?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 5, 1, 6, -174 in descending order.\nAnswer: 6, 5, 3, 1, 0, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, 27, -2\/7 in increasing order.\nAnswer: -6\/11, -2\/7, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6974730 and 1134?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 6:29 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -778.\nAnswer: -19\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 18, 33, 52, 75, 102, 133?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 92.5 in -1, -5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 523515?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000940154 to 6 dps.\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a factor of 5856847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 253*d - 253*d - 30*d**2 + (-1 + 0 + 3)*(0 - 2*d**2 + 0).\nAnswer: -34*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 18*p**2 + 18*p. Give k(17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*h - 5*b = 68*h + 5 + 4, 3*h - 126 = 48*b for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(4032) - sqrt(4032))*1 + sqrt(4032))*3)\/(5*sqrt(1089)*-1 - (sqrt(1089) - (sqrt(1089)*2 + sqrt(1089))*-5)).\nAnswer: -8*sqrt(7)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from exix?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11043 - 13?\nAnswer: -11056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqtduqgggddqqq. What is prob of picking 1 g and 1 u?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 + 0.4. Let q = -0.04 + 4.04. What is the biggest value in j, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/4 - 989*r**4\/4 + 1479*r**3\/2.\nAnswer: r**3*(r - 986)*(r - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 22*p = 69. Suppose o = 398 + p. What are the prime factors of o?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -j + 60, 4*j - 7*j = -f + 48. Let q = 0 + 0. Let d = q + f. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 627236191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 78 + 18. Suppose -11*p + 6*p - 2*l = -x, 3*l = 3*p - 24. Solve -4*y = 4*i - p, -i - 3*y + 9 = 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-188)\/28 + 5)\/((-36)\/588).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-5 + -2*sqrt(147) + sqrt(147) - sqrt(147))*3)**2*-3 + -1.\nAnswer: 15120*sqrt(3) + 66203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1144, 1145, 1146?\nAnswer: 1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 842*r**3 - 245*r**3 + 97*r**3 + 696*r**3.\nAnswer: 1390*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -149 - (27 - (-13 + 110)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 2 = -14*o. Sort -5, -6, o in increasing order.\nAnswer: -6, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/4, 0.2, -3, -209\/2703.\nAnswer: -3, -1\/4, -209\/2703, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 4*t + 0*t**3 - 1\/6*t**4 + 0 + 0*t**2 + 0*t**5 + 1\/3*t**6. Find the third derivative of z(u) wrt u.\nAnswer: 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 1852608*i**2 - 255717036*i + 8822894760.\nAnswer: 4*(i - 69)**2*(i + 463290)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68787*d**3 + 4*d - 7*d - 7*d + 10*d.\nAnswer: -68787*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -19*v - 108. Suppose 5*i + 20 = -5*j, 5*j = -7*i + 5*i - 2. Let w be q(i). Factor 3\/2*c**2 - 9\/2*c - w.\nAnswer: 3*(c - 4)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 2, j: 1, e: 1, h: 1, u: 2}. Give prob of picking 1 h and 1 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 0. Let r = -12 + 13. Let h = r + o. Put 1, h, -3 in increasing order.\nAnswer: -3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 10*l**3 + 100*l**2 + 400*l - 500. Let w be 15\/3 + 0\/(-4). Let n(f) = f**3 + f**2. Let c(i) = w*n(i) - k(i). Factor c(v).\nAnswer: -5*(v - 1)*(v + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 9.345753ns?\nAnswer: 0.0000000000001081684375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 2. Let c = x - -10. Solve 3*t = 5*g - 30, -4*t - 13 = c*g + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1534879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7702818, 7702813, 7702806, 7702797, 7702786?\n\"Answer: -l**2 - 2*l + 7702821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 16395308979287\nAnswer: -16395308979280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (2 - 1) - 4) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 103?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - x**2 + x**2 + 3*x + (2*x - 2*x - x)*(2*x + x - 2*x) to the form h*x**2 + g + b*x and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*b**2 - 20*b**2 - 2*b**3 + 11*b**2.\nAnswer: -2*b**3 - 32*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9864119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 96 = 5*j. Let m(z) = -z**3 - 9*z**2 - 11*z - 8. Let h be m(-8). List the prime factors of (-20)\/(-3)*j\/h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - 4*u**3 + u**3)*(1 + u**2 - 1) + (0*u**3 + 2*u**3 - u**3)*(-2*u + 2*u**2 + 2*u) + 1483*u**4 + 849*u**5 - 1483*u**4.\nAnswer: 849*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.1, 4116.8, -4?\nAnswer: 4116.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 0 (c) -2\/15 (d) -2\/3 (e) 88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 20 = -5*c - 4*f, -f = 3*c + 38. Let p be (1938\/c)\/((-4)\/56). Let s = 851 - p. Round s to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millimeter in micrometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.18957992 less than -0.04?\nAnswer: 128.14957992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**3 - 6*f**3 - 4374*f**2 + 1545*f**2 - 28*f**3 + 15*f**3 wrt f?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2*x - 12, 6 = -f + x + x. Let c(b) = -3*b**2 + 0*b**2 - b + 4 - f*b - b**3 + 4*b. Calculate c(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**4\/4 - 243*n**2\/2 - n. Factor r(b).\nAnswer: 3*(b - 9)*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (33\/(-18))\/(17\/(-458286)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11222102122 + -11?\nAnswer: 11222102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -212864 and -342826.\nAnswer: -555690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48.16 or -14040?\nAnswer: -14040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y + 2*p = -16, -3*y + 4*p + 4 = 0. What is the common denominator of 22\/(3 - (-14)\/y) and 23\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**3 - s**2 - 6*s + 2. What is k(3)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 986 - 3 = -272*r - 105 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + -51. Let k = -65.46 - h. Let q = -1.540241 + k. Round q to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 3*p**2 + 38*p + 21. Let d be o(8). Solve -d + 5 = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whwd when four letters picked without replacement from {d: 8, w: 2, h: 5}.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 397 + -221. Calculate the highest common divisor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182 and 146237?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36 in 2\/3, 3\/4, -1, 0.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 778*i**2 + 877*i wrt i?\nAnswer: 1556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*d - 5*y, -2*d + 4*y = -1 - 1. Suppose -8*z = -3*z - 75. Calculate the remainder when z is divided by d - (-2)\/((-4)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2350.583 rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, n: 2}. Give prob of sequence nsns.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 378 or 387?\nAnswer: 378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.61029 to three dps.\nAnswer: -3.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bab when three letters picked without replacement from llalllblalbl.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10064)\/(-1480))\/((-28)\/210)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1986048.745 to the nearest 100.\nAnswer: 1986000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*x - 186 - 122 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 9:20 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.4 + 0.4. Let v = u - -10. Which is the third smallest value? (a) 0.02 (b) v (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-92)\/(-22) + (-8)\/44. Suppose -i = 4*v + 4. Let u = v + 9. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23.45803 from -4.\nAnswer: -27.45803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -718? (a) 12\/11 (b) 2 (c) -0.025\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 4:51 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 8, 2*i + 4*n - 6 = 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 341157.3 kilograms in micrograms?\nAnswer: 341157300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2778.717 - 2779. What is the smallest value in m, -0.4, 1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4161 + 0.1691. Is 0 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8800346.2 rounded to the nearest one thousand?\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.35? (a) -5 (b) 0 (c) 0.4 (d) -0.06292\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*p - 22, 0*p - k = 2*p - 7. Let u(j) = -j**3 + 6*j**2 + 4*j. Does 12 divide u(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(152) - -2*(sqrt(152) + -4*sqrt(152) + sqrt(152)))\/(6*sqrt(32)\/sqrt(4)))*-3.\nAnswer: -3 + 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15\/248 + 2\/31. Let q = 0.29 + -1.39. Let m = q + 6.1. Sort 0.1, m, d in decreasing order.\nAnswer: m, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**3\/2 + 370*y**2 + 4285*y\/2 + 1775 = 0?\nAnswer: -142, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-1) + 1 + -3. Let q = 13 - y. What is the remainder when (-20)\/((0 - 3) + 2) is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -3\/5, 1.472, 1\/3, -46, -4, -0.17?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptu when three letters picked without replacement from pupuzzptpt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 280*i + 0.\nAnswer: 280*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 12*v**2 + 2*v + 2. List the prime factors of y(12).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c = -5*k + 3, 5*c - 23 = 3*k. Suppose 5*w - 2*u - 850 - 2019 = 0, c*w + u = 2303. Calculate the highest common divisor of 50 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/11 + 2512*r\/11 + 5032\/11.\nAnswer: -2*(r - 1258)*(r + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 2. Let d be q(-3). Let r = -14 + d. Suppose -5*f + 15 = -15. Calculate the highest common divisor of r and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + 24. Is l a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.25 - -13. Let u = h - 0.05. Which is the closest to 4? (a) 0.2 (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 11. Let j be f(8). Suppose -11*u = 2*u - 442. What is the remainder when u is divided by (1\/(-1))\/(j\/(-21))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120121201 (base 3) to base 4\nAnswer: -2301322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oszoottootseestts. What is prob of picking 1 s and 1 o?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -11*c**2 - 14*c - 6. Let p(g) = -g**2 - 2*g**2 + 7*g**2 + 2 + 5*g. Determine -8*p(k) - 3*x(k).\nAnswer: k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 521*z**4 - 989*z**4 + 512*z**4 + 39 wrt z?\nAnswer: 176*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3732 + -2988. Which is the second smallest value? (a) 2 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430 = -58*o - 1694 + 3932 for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 9. Let m be s(-7). Suppose 48 = 5*x - m*x. Differentiate 27 - 15 - 4*a - x with respect to a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*a - 1 = 0. Suppose -1072 = 3*h - 2*h. Let o = 7541\/7 + h. What is the common denominator of o and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 10, -4 in ascending order.\nAnswer: -64, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 4:06 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1678508 and 1420276?\nAnswer: 18463588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 205*n - 432*n - 858 + 228*n to w + f*n and give w.\nAnswer: -858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12114275999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, c: 4}. What is prob of sequence zc?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -121*10\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**9)\/m**(27\/4))**22)**(5\/12) assuming m is positive.\nAnswer: m**(715\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/32741 and -109\/1276?\nAnswer: 1440604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 852 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 151*v**3 - 66*v**3 - 84*v**3 + 80 - v + 2*v**4 to the form b + w*v**4 + t*v**2 + x*v + z*v**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 114443863211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -7*r**5\/20 + r**3\/6 - r. Let h be ((1 - 1) + 0)\/(-2). Let f = h + -1. Determine w(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 16 = 3*o + 9*y, 5*y = -o + 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/1884 and -25\/24.\nAnswer: 3768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -326 - -173. Is -154 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -750 + 539. Let n = -181 - t. Calculate the remainder when 136 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 8:37 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4991 - 4999.996. Let q = 3 + -12. Let i = x - q. Round i to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30483250789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/2167214 and 1\/432?\nAnswer: 468118224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 10:56 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/19208 and -58\/14749.\nAnswer: 825944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91 + 76*a + 91)*(-3*a**3 + 0*a**3 + 2*a**3)*(8 - 8 + a).\nAnswer: -76*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 266?\nAnswer: -266.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13535 = -2724*i - 1713*i + 443924 for i.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -172*c**3 - 8*c**2 + 6*c. Let v(y) = 2*y**3 - 2*y**2 + y. What is d(b) - 6*v(b)?\nAnswer: -184*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-245)\/(-125))\/(658\/1645).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539)*-2 + 5 + sqrt(539))**2 - (1*(1 + sqrt(539) - sqrt(539)))**2)*-6.\nAnswer: -3378 + 420*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550003 + 401983 = 8981*l for l.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 578 = -g, -3*g = -3*c - 8*g + 1736. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/7 (b) 9 (c) -2 (d) 0 (e) -18500\/3 (f) 2 (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5561784 decades?\nAnswer: 5.561784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -19*f + 18. Let a(g) = 4*g + 3. Calculate q(a(i)).\nAnswer: -76*i - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 2*y**2 + y - 2. Let x be o(2). Suppose -5*q = -x*q. Is 2\/9 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 46 = 3*r, -177*r + 182*r = 3*i + 74 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/95, 0.52, -0.9?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krok when four letters picked without replacement from kkrkroorrokkrrro.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 2:06 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 1. Let j(x) = 322 - 111 - 104 - 105. Calculate -2*j(w) + 3*p(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 121*u**2 - u - 3. Let s be n(-5). Let t = s - 767. Suppose t = 3*a - 5*a. What is a rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66435*o**2*v**2 - 2412*o**2*v - 62*o*v**2 + 5*o*v + o - 14*v**2 - 2*v + 4 wrt o?\nAnswer: 132870*v**2 - 4824*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583713.\nAnswer: 3, 13, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**7\/2 + 17*y**6\/15 + 3*y**5\/10 - 8*y**4\/3 + 5*y**3\/2 - y**2 + 3*y - 2. Find n, given that o(n) = 0.\nAnswer: -1, 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 - 77. Suppose 10*b + 11 = n*b - 3*g, 5*b = 3*g + 31. Solve 5*q - b*z = 5, -q + 3*z = -4 - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 161\/23 - (4 + -2). Suppose m*g = -15, -4*g - 717 = -k - 4*k. Does 20 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -7*x**5\/10 - 13*x**2\/2 + 14*x + 10. Let f(a) be the first derivative of s(a). Differentiate f(o) with respect to o.\nAnswer: -42*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r + 1. Let p be d(2). Suppose 27 = 5*t + 4*h, -5*h = -4 + 14. Let w = t - p. Calculate the greatest common divisor of w and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/12 + (-10)\/(-8). Let j(g) = -2*g**2 - 4*g + 3. Let i be j(-3). Put 0, i, b in increasing order.\nAnswer: i, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 12) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5770, 5769, 5768, 5767, 5766?\n\"Answer: -f + 5771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-57)*(-666)\/17094\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, -47, -137, -265, -431, -635, -877?\n\"Answer: -19*z**2 + 5*z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a decade in months?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6299, 7145, 2541, -7513?\n\"Answer: -2725*f**2 + 9021*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*g**2 - 201 + 5*g**2 + 198 + 3 + 2*g**2 - 3 + 0*g + 0*g + g**2 + (0 + g + 0)*(g + 0 + 0).\nAnswer: -37*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2 = -2*t, 2*f - 1666 = 4*t. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (9 + -4 + -4 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*a**2 - 399*a**2 - 308*a**2.\nAnswer: -570*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/15*-3)\/(4\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5745*r - 1666073. Calculate v(290).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27769*o**3 + 6853*o + 4.\nAnswer: 166614*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 18 = -4*t. Suppose t = -4*l - 22. Let r(x) = x**2 + 5*x - 4. Let z be r(l). Solve 5*q - 4*f = -40, 4*f - 2*f - z = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3248 is divided by 84?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171, -341, -511?\nAnswer: -681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1175 and 11795825?\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3310105 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -237 (base 13) to base 8.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 4323.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 45*c**2 + 2*c. Let q be l(1). Let x = q + 17. What is the remainder when x is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + -2*sqrt(130))*2 + sqrt(130))\/(4*sqrt(160)).\nAnswer: -sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-12)\/(-10) + -22 + 693\/385.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**3*w\/w**(-1)*w)\/((w\/(w*w*w*w**(3\/7))*w)\/((w*w\/(w*w*(w*w\/w**(-3\/4)*w)\/w))\/w)))\/(w**(3\/5)\/((w*(w\/(w**8*w))\/w)\/w))**(10\/13) assuming w is positive.\nAnswer: w**(-985\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m + 3. Let p(u) = -5*u + 3. Let q(c) = c**2 + 4*c + 6. Let g be q(-4). Let y(r) = g*p(r) - 7*b(r). Suppose -5*v - 21 - 4 = 0. Determine y(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*w + 4. Suppose 3*z - 3 = 3. Solve m = z + w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p - 12*p + 0*p + 0*p. Let g(i) = -33*i + 8*i**2 + 33*i - 9*i**2. Determine g(y(t)).\nAnswer: -256*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 4. Suppose 0*f - 4*f - 8 = l*m, -m = 3*f + 10. Solve -3*x - 9 = -c + m, 4*c = -3*x - 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143\/238 - -4\/7. Let n = z + 121\/646. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*5\/80*2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*a**3\/3 + 1371560*a**2\/3 + 1959787775*a + 1959330615.\nAnswer: 5*(a + 1)*(4*a + 34287)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*o. Let h(p) be the second derivative of o + 0*p**2 + 1\/10*p**5 - 1\/3*p**3 + 0*p**4 + p. What is the second derivative of h(d) wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000064 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -181.907 - -182. Let n = 0.09249 - k. Round n to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -789, -1592, -2409, -3246, -4109?\nAnswer: -5004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2633 - -2633. Let g(r) be the third derivative of -1\/240*r**6 + 0*r**4 + 0*r**3 + 15*r**2 + 0*r + k*r**5 + 0 - 1\/1260*r**7. Factor g(o).\nAnswer: -o**3*(o + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 7:15 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 128458*o + 2440699. Calculate q(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279220?\nAnswer: 2, 5, 23, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 7*m + 36587 = 5*j, 5*m = -j + 91502. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/3))**(-2\/79)*(t**(-5))**(-44) assuming t is positive.\nAnswer: t**(52132\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*u - 7, 0 = -73*b + 72*b - 2*u - 7. Put 0, -4, 21, b in decreasing order.\nAnswer: 21, b, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1211267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 434667965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95 - -94.5. What is the nearest to 4\/3 in 4\/3, b, 0.5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m*m*m\/m**(1\/7))**(-2\/115) assuming m is positive.\nAnswer: m**(6\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/74304 and 61\/1548.\nAnswer: 74304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 82*n**2 + n + 13. List the prime factors of i(-4).\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from {h: 10, w: 3, m: 2, r: 3, o: 2}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 840 and 252?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 20, -7*w = i - 2*w - 47. What is the remainder when 134 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -187 - -633. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (7 - -17) - (7 - (2 + -5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-378)\/(-6)*(-108426)\/(-66969).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u + 14*u - 3199 + 0*u - 3*u.\nAnswer: -u - 3199","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1482.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3471, -3469, -3467, -3465, -3463?\n\"Answer: 2*i - 3473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 1:10 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p - p - 12*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23, 47, 73, 101, 131, 163, 197?\n\"Answer: u**2 + 21*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48\/115 - 2\/115. Sort -1, r, -5, -1\/7 in decreasing order.\nAnswer: r, -1\/7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/11 and -33\/1836629.\nAnswer: 20202919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2735*r + 1747*r = 403144 - 8728 for r.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/40*9\/(18\/52)\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**8\/840 + f**6\/180 + f**3\/2 - 2*f. Let z(l) be the second derivative of s(l). Let z(v) = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 1 - 3)*(-5*g**3 - g**2 + g**2) + 0*g + 0*g + 2*g**3 + 8*g + 4*g**3 - 8*g.\nAnswer: -19*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 5*t - 5. Let w(k) = -4*k + 4. Let z(f) = -2*i(f) - 3*w(f). Let p(m) = m**3 - 9*m**2 - 11*m + 12. Let g be p(10). Determine z(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 2:24 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**3 + 7*m**2\/2 - 9*m. Let q(g) = -5*g + 6. What is -4*h(z) + 5*q(z)?\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2015 - -1?\nAnswer: -2014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -562, -526, -476, -406, -310, -182?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/11 + 414036\/3498. Solve 3*b - 80 = 4*i - l, -b = 2 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 6*v**2 - v. Let j(n) = -2*n**3 - 5*n**2 - n. Let b = 23 - 17. Let r(k) = b*j(k) - 5*f(k). Find the second derivative of r(s) wrt s.\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/2*(1 - 0). Suppose 7*j = -o*j + 21. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6554676 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 4. What is the biggest value in 2, c, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b79f6 (base 16) to base 14\nAnswer: 542514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 84*s + 2030. Calculate o(-24).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32820 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -241 greater than or equal to -205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48881*f*y**2 - 168*y**2 + 11*y - 1 wrt f.\nAnswer: -48881*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -1531, 3, 0 in descending order.\nAnswer: 59, 3, 0, -1531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*n - 42588455 + 11202488 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**5\/170 + m**4\/17 + 51*m - 43. Let k(p) be the first derivative of z(p). Factor k(l).\nAnswer: -2*l**2*(l - 6)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**3 + q**3 + 3*q**3)*(37*q - 22*q - 16*q - 10).\nAnswer: q**4 + 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1744 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/550388 and -31\/16748?\nAnswer: 2304474556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 4*c**2 - 5*c - 1. What is the tens digit of v(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67299642 minus -0.14?\nAnswer: -67299641.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*n**2*u + 2*n*u - 13*n - 1281*u with respect to n.\nAnswer: -20*n*u + 2*u - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + 0*u**2 - 2*u**2 + (-4*u + 0*u + 3*u)*(2*u + u - 2*u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**2 - 3*g + 3*g)*(12*g**2 - 32*g**2 - 20*g**2) as y*g**3 + j*g**2 + z + t*g**4 + f*g and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(2\/5)))**(-27\/4)\/((((p\/(p*p**(-4)))\/p)\/p)\/(p*p\/(p*p\/p**(1\/2))*p)) assuming p is positive.\nAnswer: p**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*c + 760*c = -419*c - 84*c + 28000 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/14090 and -109\/18.\nAnswer: 126810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5196177863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, -0.5, 3057?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 a factor of 4937259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/((-720)\/4064) - 12\/(-10). Solve -s*k - 132 = 180 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 83*i**3 + 31*i**3 - 19*i**3 + (7*i - 3*i - i)*(i**2 - 3*i**2 + i**2) + (i**2 - 3*i**2 + 0*i**2)*(-2*i + i + 2*i).\nAnswer: 90*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 495679700 and 7275.\nAnswer: 2425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*l + 4 = 0, -b - l - 4*l = -9. Suppose 2*q - b*q + 98 = 0. Suppose d - 49 = -j - 0*j, 5*d - 4*j = 236. Are q and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 304.4 + -305.7. Which is the second smallest value? (a) -2\/9 (b) g (c) 5 (d) 0.03 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 76675084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 - n**2 - n**2 - 44 in the form x*n + w*n**2 + b and give b.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16737607 > 16737606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 18708 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**4\/66 - b**3\/11 - 62*b + 6. Let h(u) be the first derivative of o(u). Factor h(w).\nAnswer: -2*w*(w + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 73810\/10381 = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 57433591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**3 + 5*d**2 - 6*d - 6. Let f(r) = 4*r**3 + 4*r**2 - 5*r - 6. Determine 7*f(a) - 6*x(a).\nAnswer: -2*a**3 - 2*a**2 + a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q. Let w be (((-45)\/(-6))\/5)\/(2\/4). Suppose 3*x - w = -0*z + 3*z, 5*z = -2*x - 26. What is the second smallest value in x, -4, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -2*z**3\/3 - 3*z**2\/2 + 3*z - 2. Determine d(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 1 - 12. Calculate the remainder when a is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-12)\/50)\/(4\/((-3080)\/(-42)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42044 - -4?\nAnswer: -42040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288921*f = 3*r - 288920*f - 45, -4*r - 7*f = -264 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(76))*-5 + -5*(3*sqrt(1539) + sqrt(1539)))**2.\nAnswer: 5700*sqrt(19) + 686125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(35\/(-25)) - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 510 = 5*p, -3*p + 5*f - f = -310. Calculate the greatest common factor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 44 = -3*t, 4*t = p - 2425 + 2500. Let u = -333 + 76. Let k = -88 - u. What is the remainder when k is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7*y**2 - 4*y + 1. Let g(p) = 6*p**2 + 3*p + 18. Let q(v) = -18*v**2 - 9*v - 51. Let k(m) = -17*g(m) - 6*q(m). What is 4*k(s) + 3*x(s)?\nAnswer: 3*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -51*z**2 - z. Let b(x) be the second derivative of -59*x**3\/6 + 9108*x. Give l(b(j)).\nAnswer: -177531*j**2 + 59*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 45, -2 in ascending order.\nAnswer: -4, -2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 255, 515, 773, 1029, 1283?\nAnswer: 1535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 3:12 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13924, 13920, 13914, 13906, 13896?\n\"Answer: -i**2 - i + 13926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 7*q - 9. Calculate the remainder when q is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmpptrtrrrrrwr. What is prob of sequence wr?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + (82\/10 - 4). Let f = 0.3 + -0.2. Let o = 0 - f. Which is the closest to -0.1? (a) o (b) 0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -664891*a**3*h - 4*a**2*h - 6*a*h - 38*a + 229 wrt a?\nAnswer: -3989346*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v + 11*v = 22*v. Let r(a) be the second derivative of 0*a**2 + 1\/3*a**4 + a + 0*a**3 + v. Let q(h) = h. What is r(q(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 - -0.37. What is the nearest to 6 in m, 2\/15, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*z - 373812 = -25*z - 99840. Is 158 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 169247.6 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(6\/13)*t)\/(((t*t**(-2\/11))\/t)\/t*t*t))\/((t\/(t\/t**(4\/23)*t))\/t*t*t*t\/(t\/(t*t**(-2\/5)*t))) assuming t is positive.\nAnswer: t**(-2147\/16445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is aa131313 + 8?\nAnswer: aa131320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10669 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -591 + 34 = -2*z + m, -5*m = -4*z + 1111. Calculate the highest common divisor of z and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 564 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 1\/3*u**3 + 2\/3 + 5\/3*u + 4\/3*u**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 - (3 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2656, -4840, -7024, -9208?\nAnswer: -11392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(4\/9)*c*c)\/(((c**(3\/4)\/c*c)\/c*c)\/c*c))**(2\/5)\/((c**(3\/2)*c**(-1)\/c)\/(c*(c*c**(1\/3)*c*c)\/c*c)**(2\/67)) assuming c is positive.\nAnswer: c**(3941\/3015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - aa13?\nAnswer: -aa17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0, 0.02, -673, -2, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120 + 107. What is the nearest to c in 2\/21, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Suppose y - n*y - 4 = 0. Let k(i) = 524*i - 9427. Let g be k(18). Sort 3, y, g in descending order.\nAnswer: g, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 28 = 8*n. Let u(t) = 10*t**2 - 26*t + 34. Let d(v) = 11*v**2 - 25*v + 35. Let s(a) = n*u(a) - 6*d(a). Determine r so that s(r) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -1\/2 (c) 0.39 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 22 - 246. Suppose -36*c + 49*c - 253 - 111 = 0. Calculate the greatest common divisor of c and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 66, -17, 44 in increasing order.\nAnswer: -17, -1, 44, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -585*f + 130. Let g(t) = -t + 9. Let k(j) = 26*g(j) - n(j). Let s(a) = 16*a + 3. Calculate 3*k(b) - 104*s(b).\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) -3 (c) -55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p + 12 = 7*p. Which is the closest to -0.1? (a) -4 (b) p (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.08 - 0.78. What is the second biggest value in -4, y, 1\/9, 6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3435 (base 11) to base 10\nAnswer: 4515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-1*3\/38). What is the highest common divisor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526 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: Expand ((3*l + 2*l - 4*l)*(-1 - 2 + 5) - 23*l - 375 + 375)*(-2*l**2 - l**2 + 4*l**2).\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 20*l**2 + 4*l - 20.\nAnswer: -4*(l - 5)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5453*i + 628848 = 14187*i for i.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -5.16\nAnswer: -10.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135431551 (base 6) to base 15.\nAnswer: -3a119d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 6*o - o. Let x = 109 + o. List the prime factors of x.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - w = -7, 5*z = -2*w + 7*w + 5. Let v = -82 - -120. Suppose 0*l - z*l = -v. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1604722 divided by 83.\nAnswer: -19334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3755\/12 or -312?\nAnswer: -3755\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440 = -4*x + 2*p, 2*x - 284 = -p - 56. Suppose 4*z - 128 = x. Suppose 0 = 7*g - 6*g - 21. Calculate the remainder when z is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.916 - -0.917838. What is c rounded to four decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1182)\/(-64616))\/((-6)\/(-16)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 2*c**2 - 118*c - 19. Give o(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t - 24*t + 1053 = 0. Suppose t*c - 7410 = c. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Suppose 4*a - v + 4 = 5*a, 0 = -g*a + 5*v + 8. Suppose a*o - 25 = -1. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-19) + (-6012)\/(-76) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (425 + 369 - 630)*(4*r + r - 3*r) as l + g*r and give g.\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26526 (base 7) to base 2.\nAnswer: 1101111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*(-6)\/4 - 672\/(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108\/45611 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7686?\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9998551931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 262 + 140?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 27327.909, 2\/5, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - d + 32 - 13 = 0, 0 = 2*g + d - 7. Suppose 0 = 8*a - g*a - 24. What is the third derivative of -3*t**2 + t**a - t**2 + 3*t**2 wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 3.36508, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -551828525 divided by -110365705\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -502778612 divided by -44779\nAnswer: 11228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -178 - -181. Suppose z*a - 2712 - 909 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmmm when four letters picked without replacement from bqlbmbmmlbqbblbbbbbb?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*d**3 - 6*d**3 + 24*d**3 - 303*d to m*d**2 + n*d + b + a*d**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-3)*(-10)\/15. What are the prime factors of 14\/(-2) - (-2504)\/m?\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*x - 2860 = 0, 4 - 7 = 3*x. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(33\/(-6) - -1). Let q(c) = -c**2 - 8*c + 12. Let n be q(s). Suppose -4*j - n*p = -59, j - 3 = -p + 12. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0999995 - 0.1. What is u rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588.548cm in kilometers?\nAnswer: 0.00588548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okkjaaooojkk. What is prob of sequence ojk?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.6, 3, 4 in decreasing order.\nAnswer: 4, 3, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -14, -29, -62, -119, -206, -329?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 1680.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 881806049 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1524 = 2*u - 632. Is u a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 6:52 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132505187?\nAnswer: 947, 139921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3849*i**2*r**3 - i*r**3 - 9*i*r**2 - 56 wrt i?\nAnswer: -7698*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 1.43378.\nAnswer: -17.20536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 + 60. Suppose -12 = -4*d, 0 = 2*g - 2*d + z*d - 546. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 82.5 and 127.\nAnswer: 10477.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/4)\/(-36*24\/(-108)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + r + 75 = 0, 12104*r - 12107*r - 181 - 20 = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n + 12. Let j be q(-1). Suppose 5*i = j*v - 6*v - 438, 428 = v - 3*i. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6872 - 13591?\nAnswer: -20463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 - 58. Let v = w + 7. Find the third derivative of -2*g**2 + v*g**2 + 10*g**5 - 8*g**5 + 12*g**5 wrt g.\nAnswer: 840*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.745224 rounded to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.4 or 247807636?\nAnswer: 247807636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 712*a + 709*a = 6, 69 = -8*q - 3*a for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 16 + -57 + -7\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**7\/840 + p**6\/240 - 23*p**5\/240 - p**4\/4 + 6*p**3 + 160*p**2. Factor b(r).\nAnswer: (r - 3)**2*(r + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 260 and 1040.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 10:51 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sso when three letters picked without replacement from {o: 7, a: 1, s: 2, q: 4, e: 2}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 700732800 and 6400?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 1255. Let v be x(0). Is v\/15*(-2 + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 times 0.01757503\nAnswer: -0.19332533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 34*f + 72*f - 9 + 16*f. What is the tens digit of o(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 - 15*f - 24. Let o(q) = q**2 + 7*q + 12. Let z(d) = -6*j(d) - 11*o(d). Let y = -84 + 68. Let l be z(y). Round l to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -11. Let c = 3694\/11 + -336. Put c, g, -1, 0.1 in decreasing order.\nAnswer: g, 0.1, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 797*n**6 + 5*n**3*r**3 + 785*n**2*r - 15*n*r**3 - 2 wrt n?\nAnswer: 95640*n**3 + 30*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5341*i - 36 = -5353*i. Let n(r) = -5*r**2 - 2*r - 10. Let l(t) = -14*t**2 - 5*t - 29. What is i*l(y) - 8*n(y)?\nAnswer: -2*y**2 + y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcwhbywb. Give prob of sequence jwh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/2137? (a) -4 (b) 0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**3\/3 + 7*c**2 - 34*c - 3640. Give a(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3 (c) 4 (d) -3236\/113 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45032 is divided by 372.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-1 + 2)*11. Suppose 3*s - 52 = 4*m, -3*s = 3*m + 2*m + 92. Let w be ((-12)\/10)\/(m\/440). What is the greatest common factor of j and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 2*z + 6, 3*z - 519 + 508 = 4*l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/96915 and 25\/224?\nAnswer: 3101280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 71688*q**2 - 2*q. Let x(h) = 56*h. Give x(n(p)).\nAnswer: 4014528*p**2 - 112*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen quarters of a day?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**2 + 51566*r + 257780 = 0?\nAnswer: -25778, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 4*s - 170 = 0. Let w = s - -22. Suppose 0 = -4*j + 2*y + 42, w*j - 4*y + 0*y = 60. What is the least common multiple of 6 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + 2*sqrt(931)))**2.\nAnswer: -504*sqrt(19) + 33552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -328151058 rounded to the nearest one hundred thousand?\nAnswer: -328200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1843*u + 1855. Let b be f(-1). Solve n = 4*p - 7*p + 12, -b = -2*n - 2*p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + -27. Let s = d + 57. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153981908687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -25. Solve -3*n + 0*n - 12 = f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 10. Suppose -a*h + 21 = 4*h. Solve 1 - 18 = -h*v - 4*l, 23 = 5*v + 4*l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6591798?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 12 = 11*h. What is the third derivative of 11*n**4 + 16*n**h - 85*n**2 + 75*n**2 - 8*n**4 wrt n?\nAnswer: 456*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 315, 478, 645?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -435, -655, -885, -1131, -1399, -1695, -2025?\n\"Answer: -n**3 + n**2 - 216*n - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 277461650 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1761368 is divided by 440110.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - (sqrt(100)*-2)\/sqrt(2) - ((sqrt(50) + sqrt(50)*-1)*-2 + sqrt(50))) + -4*(sqrt(648) + 0))**2.\nAnswer: 7688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.56 - -0.69. Let m = -344.3 - -341.3. What is the second biggest value in y, 3, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9316 is divided by 158?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105540112 + 10?\nAnswer: -105540102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 291698673649301?\nAnswer: 291698673649301.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t - 2. Let a be r(-1). Suppose 0*b - 3 = a*b, -2*s - 4*b = -306. Suppose 0*n + s = n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*5*1)\/(-1*sqrt(800)*-5) + -1.\nAnswer: -1 + 3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*1*(-1)\/2. Let d be (3\/(-6))\/(1\/(-4)). Solve 4*m - d*p + 2 = r, 4*m - p = 3*p - 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, k: 1, r: 8, z: 1}. Give prob of picking 1 r, 1 k, and 2 j.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 158459 - ((-26)\/(-12) + 1\/(-6)). Let w = -27 + 31. Suppose 0 = w*q + 1958457 - o. Round q to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16482 = -159*u + 8640. What is the remainder when u is divided by 60?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3687993, 4 in ascending order.\nAnswer: 4, 9, 3687993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 623664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epy when three letters picked without replacement from {p: 1, y: 9, e: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 1635?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 14, k: 4}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 82952491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, s: 2, k: 2, n: 4}. Give prob of sequence nks.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 8801?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 31 - 25 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -2*v + 1\/6*v**4 + 0*v**2 - 2\/3*v**3 + 9. Let i(q) be the first derivative of s(q). Determine i(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 117 (b) -4 (c) -5 (d) 5 (e) -24\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2 + 6*n - 17. Is z(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2386*h + 6947*h + 3 + 2 - 2173*h - 2396*h.\nAnswer: -8*h + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5964941088*p**3 - 5965159536*p**2 - 218450*p - 2.\nAnswer: -2*(p + 1)*(54612*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/36)\/(12\/18). Sort -1, 0.1, f, -0.1 in increasing order.\nAnswer: -1, -0.1, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 + r + 13. Let w(i) be the second derivative of i**4\/6 - i**3\/6 - 6*i**2 - 4558*i. Determine 4*q(c) + 5*w(c).\nAnswer: 2*c**2 - c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 - 5*a**2 + 33 + (7 - 7 - 3*a)*(-2*a + 0*a + 3*a) + (-1 + 1 + a)*(0*a + 3*a - 2*a) to d + s*a**2 + t*a and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 14*f - 333. Solve -6*s = -11*s + f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -226*h**3 - h**2 - 3*h - 2. Is c(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**7\/504 + g**6\/720 - g**4\/24 - g**2. Let m(s) be the second derivative of r(s). Give m(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - ((-1 - 9) + 42 + -23).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, r: 5}. Give prob of sequence re.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 344, 785, 1412, 2231?\nAnswer: 3248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -807 + 646. Let z = -135 - d. What is the smallest common multiple of z and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l = 0. Let i be 3\/1 - (l - 1). Suppose 6 = i*c - 2. What is the least common multiple of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -13*b + 5*x, -115*b = 115*b - 227*b + 5*x + 49 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 1292060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144302143 (base 5) in base 14?\nAnswer: 510475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 318 = -t. Let j = 557\/5 + t. What is the common denominator of j and (-117)\/(-54) + 1 + -2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3339 or -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15317 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/10)\/(60\/(-100)). Solve 3*p + u - 13 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20.6 and 13.6550787.\nAnswer: 34.2550787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4478928 divided by 4\nAnswer: 1119732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 344.32 + 14.38. Let t = -359 + z. Which is the third smallest value? (a) 0.07 (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 214 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 70, 53, 32, 7?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/4 - (-63)\/12. Suppose 10*x - m*x + 3*p = 74, p = -2. What is the units digit of (5\/10)\/(2\/x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 2302*c**2 + 0 - 241*c**2 + 7.\nAnswer: 2061*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * 10262.\nAnswer: 13340.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**2. Let f(q) = 5*q. Calculate f(l(t)).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 835697194 to the nearest integer?\nAnswer: 28908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/(-144) - 23962\/(-18). Let w = 2160 - u. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1794276\/(-8640))\/(-253) - 4\/5.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 4*a + 65 + 15, 2*b + 25 = 3*a. Let k(u) = -2*u**2 - 44*u + 49. Is k(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8)\/(-2*6\/648*3)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -38a3 (base 14) to base 8\nAnswer: -23327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66*d + 3\/7*d**2 + 912\/7.\nAnswer: 3*(d - 152)*(d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.8, -2, 0.1, 8\/3, 21\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (4 - -7) + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -6815337827448 and -146.\nAnswer: -6815337827594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i**2 + i + 70. Does 2 divide h(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3750.1 + 3750. Which is the nearest to i? (a) -4 (b) -2\/7 (c) 1\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (3 - (-9 + -1 + 10))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.5989 and 2.\nAnswer: -5.1978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) + 197545\/(-33). Let o = 7855 + -13837. Let z = h - o. Find the common denominator of 47 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*r, -3*r + 7 = -0*h + 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137410 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 11*f + 20. Let k be s(-9). Suppose -7*i + k = 9. Sort -4, i, 5, -2.\nAnswer: -4, -2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79299.999939459 - 79300. Round l to seven dps.\nAnswer: -0.0000605","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times 99483?\nAnswer: 1790694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -2, 4, 236 in increasing order.\nAnswer: -3, -2, 0, 4, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -121 + 126. Suppose 0 = -5*c + 27 + 3. Suppose -5*t = -3*t + 4. Sort b, t, c.\nAnswer: t, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/60 + 3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -a61 (base 11) to base 3\nAnswer: -1202022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 92*p**2 + p - 80. Let f be b(92). Solve f*c - 17 - 31 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j - 4. Let g = -575 + 577. Let x(c) = c + 2. Let w(a) = g*x(a) + k(a). Let u(l) = -18*l. Determine u(w(b)).\nAnswer: -72*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 40*d**2 - 17*d. Let z(u) = 10*u**2 - 4*u. Calculate -3*r(t) + 13*z(t).\nAnswer: 10*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/(-48)*(10\/(-5))\/(27\/54)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-6)*(-6)\/5. Suppose y*r - 6 - 12 = 0. Let l = 109 + -55. What is the greatest common factor of l and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30652332 is divided by 326088.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w = -26*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 96*a**3 - 6*a**2 + 11*a + 8. Let h(j) = 94*j**3 - 5*j**2 + 9*j + 6. Give -6*h(x) + 5*s(x).\nAnswer: -84*x**3 + x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (48\/(-30))\/(2\/5). Which is the closest to -0.4? (a) u (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08785 + 3.\nAnswer: 2.91215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 455 - 455 - 2*p. Let m(r) = 6*r + 1. Calculate f(m(x)).\nAnswer: -12*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 19*o**3 - 3168*o**2 - 831*o - 626. What is p(167)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -1133103021?\nAnswer: 1133103021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1165 = 261*f - 5080. Solve -2*w = 3*k + 19, 3*w = k - f + 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 13*n. Let s = 8 + -2. Suppose 3*i = 9, 0*t + i = 2*t + 7. Sort n, s, t.\nAnswer: t, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 511*b - 508*b. Suppose 3*x + 0*d + 12 = 4*d, b*d = 15. Put x, 2, -30 in descending order.\nAnswer: 2, x, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.474 and 4.\nAnswer: -1.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w + 32 = 5*d, 2*d - 16 = 2*w. Suppose -9*r = -d*r - 6. Suppose -2*k = -r*k + 24. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1352 * -0.5.\nAnswer: -676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**3 + 8*o**2 + 5*o - 6. Let z(q) = -q**2 + 6*q**2 - 14*q**2 + 11*q**2 + 7*q**2 + 6*q - 7 - 4*q**3. Calculate -7*w(h) + 6*z(h).\nAnswer: -3*h**3 - 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -149*s**2 - 1073*s - 55. Calculate v(-7).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 225*l - 10759. Determine x(69).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 76 = y - 86, 4*j - 20 = 3*j - 2*y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m\/(m**12*m))\/m)*m*m**(15\/7))**(-2\/33))**(3\/4) assuming m is positive.\nAnswer: m**(-127\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.194 + -805\nAnswer: -804.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 2. Suppose 2*k + 3*k = 5. What is the greatest common divisor of v and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*p + 322*p = 702*p - 297*p - 4879 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 595 or 789?\nAnswer: 595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 1 - 2*m**2 - 209*m**4 + 43*m**3 + 211*m**4 - 285*m**3 to x*m**2 + f*m**4 + o*m**3 + u + z*m and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 1512 = -2745. Let m = q + 216. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371*t = 515*t - 708768. Is t a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*u = 9, 20 = 2*y - 2*u + 6. Let q be (1 - y)\/4 - 183\/122. Which is the nearest to -1? (a) 3\/2 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**4\/3 - 5*x**3\/3 + 23*x**2\/2 + 3*x. Is b(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzrwwrlrzllzr. Give prob of picking 1 r and 1 z.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 252*c + 1. Suppose 4*f - 3 = 1. Let q be s(f). Let v = 584 - q. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314.964459 rounded to one dp?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 345 and 1497185?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 40?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, a: 6, y: 2, f: 2}. Give prob of sequence yy.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -6*x**4 - 3*x**3\/2 - 171*x**2. What is the first derivative of w(y) wrt y?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 7*o - 56. Let p(g) = -g + 1. Let i(q) = 4*k(q) + 28*p(q). Factor i(m).\nAnswer: -4*(m + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287797 + 287797 + 109*x.\nAnswer: 109*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12440, -12367, -12322, -12347, -12484, -12775, -13262?\nAnswer: -13987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/15 + 32\/(-240). What is the remainder when 292 is divided by ((-14)\/1*v)\/((-130)\/(-195))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19\/3 + (-1)\/3. Suppose -s*w + 20 = -w. Let o(t) be the third derivative of t**6\/120 - t**5\/30 - 5*t**4\/24 - t**3\/2 - 8*t**2. Determine o(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4808421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23984 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6828, -6823, -6818?\nAnswer: -6813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least -16053\/5719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + z - 1 + 2*z + 1 - 3*z + 4*z + z + (-5*z + z + 5*z)*(-1 + 0 + 2) - 2*z - 1 + 1 - z - z + 0*z as r + p*z and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000929 rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 3*q + 5. Let g be k(-2). Suppose 66 = -5*y + 3*x + 290, 0 = 4*y + 4*x - 192. Suppose g*a - y - 5 = 0. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 5*f**2 + 5*f - 5. Suppose 121*o - 20 = 117*o. Let g(a) = 6*a**2 - 6*a + 6. Determine o*g(w) + 6*p(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*1\/(-2 + 0). Let i = -64 - -78. Suppose -q + 16 = i. Put q, t, 8 in descending order.\nAnswer: 8, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19407, 39232, 59069, 78924, 98803?\n\"Answer: l**3 + 19818*l - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21053 times -21?\nAnswer: 442113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3175 + -0.334. What is f rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12945760, -25891515, -38837270, -51783025?\nAnswer: -64728780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, x: 2, r: 2, d: 5, g: 1, e: 1}. What is prob of sequence egr?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*i - 85*i = -1155. Let g = -364 + i. What is the least common multiple of 21 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -121, -94, -21, 122, 359, 714, 1211?\n\"Answer: 4*i**3 - i**2 + 2*i - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*y**2*z**2 - 28*y**2*z - y**2 + 5*y*z**2 - 2*z wrt z.\nAnswer: 68*y**2 + 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 x when four letters picked without replacement from {x: 4, z: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 + -20624?\nAnswer: -20650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3. Let k be (-72)\/20 + (8\/10)\/(-2). Let h(i) = -i**2 - 2. Let s(d) = k*t(d) + 5*h(d). What is the first derivative of s(v) wrt v?\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 5:28 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 6*c + 5*c)*(-5*c**3 + 4 - 4)*(-2 - 1 - 4).\nAnswer: 140*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 11 + 7*r**2 + 56*r - 3*r**2 - 10 - 3*r**2 - 3*r**2. Let s be z(28). Solve -q + 2 - s = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -5*h - 27. Suppose h*c - 5*z - 235499985 = 0, 17*c - 18*c + 78499988 = -4*z. What is c rounded to the nearest one million?\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/30*51\/136*-16?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one halves of a hour?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 q, 1 g, and 1 p when four letters picked without replacement from pbgqbbbgb?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4}. Give prob of picking 2 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 4:34 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-4))\/(8\/(-32)). Solve -3*o + t = 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/13, 0.1, -0.3, -0.4, 1\/4, -3 in decreasing order.\nAnswer: 1\/4, 0.1, 1\/13, -0.3, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a hour?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -18*y - 388. Calculate d(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085163799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1\/106, -15, 1.4?\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 5*j + 5*j)*(31 - 31 - 6*j).\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 43. Let y(f) = -f**2 - 11*f + 7. Let m be y(z). Suppose 3*j = -3*v, -3*v - m - 13 = -j. Solve -2*s + 4*s + 3*k = -11, -s + 14 = -j*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**2 + n + 3. Determine l(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*b + 64. Let r = 33 - b. Calculate the remainder when 206\/8 - 3\/(-12) is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(1331) + -3)**2 + -3 - (-1 + (((-3*(-2*sqrt(132) - sqrt(132)) - sqrt(132)) + sqrt(132))\/sqrt(12))**2)*-4.\nAnswer: 132*sqrt(11) + 6237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 5*f**2 + 8*f - 6. Let j be u(6). Suppose 5*q - 4*w = 97, q + j*w = 4*w + 25. Differentiate -2 + 10*h**3 + 1 - q*h**3 with respect to h.\nAnswer: -33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/105 - (-11)\/(-33)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**8\/23520 - m**7\/8820 - m**6\/630 + m**5\/105 - m**4\/4 + 7*m. Let p(h) be the third derivative of z(h). Factor p(l).\nAnswer: 2*(l - 2)*(l - 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6551 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 814\/3740993 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 9. What is u(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13967.4 + 12554. What is p rounded to the nearest ten?\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69143\/20 + 3455. What is the common denominator of -107\/22 and y?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560)*-2)\/sqrt(10))\/(sqrt(128) + sqrt(128) + 2*sqrt(128) + sqrt(8)).\nAnswer: -2*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 529 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -9. Suppose 2*t = 2 - 0. Suppose t = -3*d + 13. Solve 0 = -d*h + 4 + w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626921268.\nAnswer: 2, 3, 52243439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 15 = w, -2*z + 3*z = -3*w - 45. Let u(c) = -4*c - 12. Let i be u(w). Let t = i + -19. What is the remainder when t is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in 0.2, -13.3, 15\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -186083.\nAnswer: 372166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -n - m - 1635, -2*m = -4*n - 1322. Let y = 477 + n. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:46 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + -1. Let v be s\/((-14)\/(-4)) + 4. Solve -2*t = 2*r - 6*r - 8, -v*r - 2*t + 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 780\/(-104)*30\/50.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 292.792 times 1\nAnswer: 292.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*r = 4, -16*r + 9 = 3*t - 17*r. Let p be (-2 - 2)\/((-3)\/6). Solve 0 = -p*v + t*v - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-1))\/3*(-9)\/90.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 502\/9 at most 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n + 3*n + 0*n)*(7130*n - 3559*n - 3560*n + 7) + (5*n - 2*n - 5*n)*(2 - 2 + 2*n) - 2*n**2 + 3*n**2 + 0*n**2 in the form l*n + s*n**2 + f and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b*l*m - 32*b*l + 12*b*m - b - 2*l*m - 2*m + 1 wrt l?\nAnswer: 2*b*m - 32*b - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 101558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16296.73ml in litres?\nAnswer: 16.29673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*i + 197*i - 18315 = 92*i for i.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7702405, -7702404, -7702403?\nAnswer: -7702402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1998732 = -271*t + 1996293 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 4\/(-3)*-3. Suppose -4*v = -4, -r + c = 5*v - 5. Suppose 7 = 2*h - 4*h - r*m, 0 = 2*h - 4*m - 20. Put h, -3, 5 in descending order.\nAnswer: 5, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2801728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.267627ml?\nAnswer: 0.000267627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**5\/25 + y**4\/10 + 32*y**3\/15 + 3*y**2 - 63*y\/5 + 156. Determine s so that g(s) = 0.\nAnswer: -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 261761, 261755, 261749?\n\"Answer: -6*s + 261767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.98863.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = 3*o. Suppose -q + 24 = -o*q. Let f = -14 - q. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-4) + (-19604)\/(-12528))\/(10\/(-84)).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1043*y + 42160 - 31433 = -38294 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -84 (b) 0 (c) -128 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/15 and 31\/296280.\nAnswer: 296280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 65 = 2*p - 71, -p + 5 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 - 100. Suppose -q*c + 4 = -26. Solve 4*n + 4*s - 24 = 0, 2*n = c*s + 1 - 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*j - 420 = 0, -2*j + 80 = r - 1. Let l be (0 - (-10)\/2)*-9. Let k = r + l. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -38. Let g = 1.1 + -0.1. Let z = g - y. What is the third smallest value in z, 1\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-73)\/219)\/(1 - (-10)\/(-12)). Is -7 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -121*v**5 - 4565*v**4\/4 - 785*v**3 - 315*v**2\/2 + 5231. Factor l(j).\nAnswer: -5*j*(j + 7)*(11*j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 17*y - 7. Suppose -4*o = p + 7, -3*o + 11 = -p + 5*p. What are the prime factors of a(p)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from pulp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*i**3\/4 + 2056775*i**2\/4 + 51771195*i\/4 + 326033505\/4.\nAnswer: 5*(i + 16429)*(5*i + 63)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 5*v**2 + 3*v + 3. Let h be j(-3). Let k = -2\/2281 - -168800\/6843. Let q = k + h. Is -3 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3421915010?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*a*y**2 - 7027*a*y - a - 46*y**2 - 19773694 wrt y.\nAnswer: 20*a*y - 7027*a - 92*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*g - 81 = -9, -2*h = -5*g - 36. Let q be 7\/((-42)\/16)*h\/(-2). Is 19 a factor of (1*-15)\/(1 + (-33)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 171*y**2 + 242*y + 16218. Calculate c(169).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/6 + 7*d\/3 + 16\/3.\nAnswer: -(d - 16)*(d + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -21. Let h = k + 18. Suppose 28 = h*c + 3. Solve 0*o = -o - c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 719 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than 2483\/1529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 0*z + 2 - 7\/2*z**2. Let r(b) = b. Give g(r(x)).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -74*m**3 - 17*m**2 - 93*m + 36. What is the units digit of w(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13448822?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.59 + 6. Round u to one decimal place.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owrgw. Give prob of picking 1 g, 2 w, and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1\/(3\/(-36)) + 1390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7.5 from 288.83863024.\nAnswer: 281.33863024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 11*f = -805. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 > 784?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 21*f + 13. Let q be t(10). Let o be -23*(0 + -3)\/q. Calculate the highest common divisor of o and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3713558766 to the power of 1\/2, to the nearest integer?\nAnswer: 60939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-9) + 272\/6. Suppose 2*i = -8, -5*i = -p + g - 11. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 48*q + 58. Give a(0).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s. Let d(k) = -1 - 9*k**2 - 3*k**2 + 1. Determine d(c(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**3 + 2*m**3 + m**3)*(6 - 6 + 4*m) - 866 - 874 + 920*m**4 + 1740 in the form y*m**4 + l*m + v + h*m**2 + c*m**3 and give y.\nAnswer: 928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*k + 4. Suppose 3*l = -k*n + 79, -1 + 27 = n + 2*l. Calculate the remainder when 78 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9222873 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -418 + 5437\/13. Let g = -1981 - -17791\/9. Find the common denominator of l and g.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52435961 * -5\nAnswer: 262179805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 5. Let z be ((-18)\/30)\/(c\/10). Let o be 3 + (-820006 - (0 + z)). Round o to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 22 - 37 = 0. Let o = 1 + -2. Which is the smallest value? (a) t (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1635 and 875379.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z**2 - z + z)*(-103 + 68 + 362)*(-6*z + 8*z - 5*z) as y*z**2 + t + s*z + w*z**3 and give w.\nAnswer: 1962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 87086 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6245039\/4491270 + -1\/128322. Let l = v + -4\/21. Put -4, l, 2 in ascending order.\nAnswer: -4, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (-3 + (8 - (4 - -9))). Sort y, 1, -5, -17, 2.\nAnswer: -17, -5, 1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -1\/11 (b) 2 (c) -0.4 (d) -1\/31 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 125609560983?\nAnswer: 125609560983.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = n - 3*n. Suppose n = 4*v + 136 + 52. Let z = v + 61. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (-2 + 3*(sqrt(539) + 1) - ((2*2*sqrt(539) - sqrt(539)) + -4*2*sqrt(539) + sqrt(539)))**2 + -4).\nAnswer: 490*sqrt(11) + 132060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107520 and 23856.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -10. Let s = 37 - 38. Sort s, 0.2, u.\nAnswer: s, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f = -1668. Suppose f = -3*k + 3*w, -3*k + 2*w = 449 - 31. Let z = k + 285\/2. Which is the closest to -2\/5? (a) 3\/2 (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -30*b + 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f, -2*l + 5*f + 1000 = 3*l. Let w = l + -110. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 263*l + 60. What is the units digit of w(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 854 + 5395?\nAnswer: 6249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1117574\/19, 1\/4, 2?\nAnswer: 1117574\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 7:44 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f + 8. Let c(p) = -14*p - 23. Let b(r) = -4*c(r) - 11*o(r). What is the units digit of b(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/7)\/(3\/21). Let m(q) = -q**3 - c*q + 6*q**2 - 2 + 8*q + 11. Calculate m(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13255 and 3608011?\nAnswer: 2651","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2203 is divided by 66?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 4*p**2 + 2*p - 5. Let r be o(4). Suppose -3 = r*u - 0. What is the closest to 0.1 in u, 2, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**2 - 3. Let c(v) = -5*v**2. Give m(c(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, 1\/4, 2\/87, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 564779.1 litres in millilitres?\nAnswer: 564779100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 739734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17508 = 21*r - 33*r. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1471222?\nAnswer: 2, 263, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58492 = 369*i - 90226 for i.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26808 or -26809?\nAnswer: -26808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 108 = 4*u, -5*g + 28*u - 23*u + 135 = 0. What is the least common multiple of g and 138?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 12:49 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*y - 19, 4*w = -4*y + 30 + 10. Let u = -1 + w. Solve -3*i + 17 = -5*k, 4*i + k - u = 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1192\/20)\/((-2)\/(-15))?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 82*b**3\/7 - 80*b**2\/7 - 2*b\/7.\nAnswer: 2*b*(b - 1)*(41*b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8 + 12*c + 0 - 2 - c**2. Let g be v(12). Let y be 18\/(-9) - (-11)\/g. Is 0 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101710275 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 947 and 5?\nAnswer: 4735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12340 + 34041?\nAnswer: 101431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11498 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 10:08 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 + -83?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -7*k**4\/4 - 65*k**3 - 2169. Find the third derivative of x(g) wrt g.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 30, 49, 62, 63, 46, 5, -66?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0159 and -111.88.\nAnswer: -1.778892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6608.0891231 + 6563.08911. Let y = 45 + u. What is y rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 5, -6, 4, 474 in ascending order.\nAnswer: -6, -2, 3, 4, 5, 474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107110, -107112, -107116, -107122, -107130?\nAnswer: -107140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-2)\/2*(-23)\/(11661\/26)*-13.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**4\/24 - c**3\/2 + 18*c**2. Suppose 4*p = 4*s + 2*p + 14, 4*s + 2*p = -10. Calculate h(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -105, -146, -171, -174?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/504 and -139\/756.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 393960 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 10. Let w(l) = -5*l**2 + 49. Calculate -22*u(c) - 4*w(c).\nAnswer: -2*c**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -9 + 11 + 729*y - y**2 - 729*y. Let l(q) = -q + 2. Let v be l(7). Let h(d) = 2*d + 8. Let j be h(v). Calculate m(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -786, -1892, -2998, -4104?\n\"Answer: -1106*m + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19020?\nAnswer: 2, 3, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, r: 3, e: 4, d: 1}. Give prob of picking 1 d, 1 a, and 2 e.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.3 (b) 3\/2 (c) -1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -42 + -44 + 40.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + 2038*j + 20*j**3 + 1 - 2051*j + 4*j**2 + 2*j**4 to the form b*j**2 + r*j**4 + l*j + u + d*j**3 and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: -53 times -0.96\nAnswer: 50.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 0. Let w(p) be the second derivative of -p**5\/10 - p**4\/12 + p**3\/6 - 19*p. Determine w(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26040743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 4. Suppose w - 2 = 0, 5*c + 3*w + 2 = -2. List the prime factors of r(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1 - (24 + -23) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357*d**2 - 16 + 162*d**2 + 16.\nAnswer: 519*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/5*1\/4. Suppose -f = -11*h + 87. Does 12 divide (81\/(-2))\/((-1)\/(h\/6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (3 + -15)) + 11 + -27.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aajtejjccaaajzjzaj. What is prob of sequence eja?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19436.1 - 19257.023. Let c = -179 + r. Let y = -0.07707 + c. Round y to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 865920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.7, -5, 4, -12513.2 in ascending order.\nAnswer: -12513.2, -5, 2.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x + 0*x - 4*x)*(7*x - 4*x + 2*x) - 3*x + 3*x - x**2 as q*x**2 + z + v*x and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 53 divided by -231\nAnswer: -53\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 3*m - 5, 3*m + 28 = 25 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 1, k: 1, d: 1, j: 1}. Give prob of sequence jk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 84.59, 2\/13?\nAnswer: 84.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 39. Let k be g(18). Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-12) - ((-63)\/12 - -4 - -1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 1. Let c be k(3). Let w(g) = -3*g - 2*g + c*g**2 + g. Is w(3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, x: 1, f: 3, e: 5, q: 5}. Give prob of sequence feqq.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imm when three letters picked without replacement from mmmmmmiim?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9103 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2373 divided by 3.\nAnswer: -791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174302?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*w, w - 7668 = -4*n + 511. What are the prime factors of n?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -9) + -12 + 154\/35\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*((q**2*q)\/q*q)\/q)**12*(q\/((q*q**(-1\/4))\/q))\/q**0)**(1\/82) assuming q is positive.\nAnswer: q**(149\/328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 846.9511 + -847. Let h = x + -0.0411. What is the nearest to 4 in -4, h, 3, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31792 + 5753?\nAnswer: -26039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**6\/60 - 7*g**5\/60 - g**4\/8 + 2*g**3\/3 + 40*g**2. Let n be (3 + -1)\/(-2) - 3. Does 32 divide q(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 0, -4, -1\/16348, 0.11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 694364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 55?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lnllnlnl.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -i + 3*w, 478*w - 480*w = i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 179035453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -245.99998785 - -246. What is r rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = h. Let b = -40 + 72. What is the highest common divisor of b and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 9:21 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + -47. Let h = r - -54.7. Let k = -2.5 + h. Is k greater than or equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - -0.92. Let i = 0.43 - t. Which is the nearest to 2? (a) -5 (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**5\/60 - 7*w**4\/24 - 2*w**3\/3 - 2*w**2 + 9*w. Let p(q) be the first derivative of l(q). What is p(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 2*y**2 - 72*y**3 - 24.\nAnswer: -72*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 12:28 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4*x + 56 - 16 = 0, -3*x = 4*i + 41 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 a when three letters picked without replacement from lbalbblbllb?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r - 15. Suppose r*d = -5*b - 4, -d + 1 = -b - 3. Find the third derivative of -6*p**5 - 7*p**5 + 2*p**5 + 13*p**d + p**2 wrt p.\nAnswer: -660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -7 in decreasing order.\nAnswer: 2, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014049798 rounded to 5 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 192 + 38 = -4*r, 345 = 5*g + r. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6 - 5*d**2 + 6 - 6 wrt d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003899486 to five decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 2. Let k be p(-6). Suppose 4*q - k = 20. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468*r**2 + 78*r**2 - 5308 - 290*r**2 + 132*r**2 + 5308.\nAnswer: -548*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28762 + -16028. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*v - 39*v + 53*v - 3949 = 0 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000477 to 5 dps.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 g when four letters picked without replacement from wgwgggg.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 11\/6*s**3 - 53*s + 0*s**6 - 1\/42*s**7 + 0*s**4 - 2 + 1\/2*s**2 - 139\/20*s**5. What is the second derivative of i(p) wrt p?\nAnswer: -20*p**3 - 834*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -241*w + 10857. Calculate g(45).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-2)\/(-4))\/((-14)\/(-28))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19402 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**13*v*v**(-13)*(v\/(v\/(v*v**(1\/7))*v))\/(v*((v*(v*v*v*v**1\/v)\/v)\/v)\/v) assuming v is positive.\nAnswer: v**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 89*y**3 + 2*y**2 + 3*y + 1. Let k be f(2). Let x = 1127 - k. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19, 4, 1\/843?\nAnswer: 1\/843","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 33*h - 310. What is q(13)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42577.0096 + -42549. Let q = -27.995 - 0.005. Let i = q + x. Round i to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 127 = 3*t - 123, -t = -8*d + 38 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431 - 156 = -5*d - 3*j, 2*d - 237 = j. List the prime factors of d.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.218978 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 133 = -17*o. What is o rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88604642?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfm when three letters picked without replacement from {f: 2, u: 1, z: 3, m: 1, d: 6}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**4\/6 + c**3\/3 + c**2 - 3*c. Let o be l(-3). Let n = 317 - 205. What is the greatest common factor of o and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1992 divided by 4.\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40045 is divided by 13342?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -4.6. Let m = 22 - 22. Sort f, m, 0.5, 3\/8 in descending order.\nAnswer: 0.5, f, 3\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -7*o**2\/2 + 5*o + 7. Let c be n(-2). Let i = -104 + c. What is i rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (-1 - 0) + 1. Suppose m*t - 17 = 18. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, p: 11, k: 2, i: 2}. What is prob of picking 1 q and 1 p?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -631*i**3\/6 + 2359*i**2\/2 - 4669*i. Differentiate y(w) wrt w.\nAnswer: -631","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 26536 = z, 0 = -2*h + 9*z - 4*z + 26520. Suppose 0 = -9*y + h + 590. Is y a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/55182 and -74\/1623.\nAnswer: 55182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 64. Let z = x - 13. Calculate the remainder when 90 is divided by z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 11:32 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2 + 19 - 5 + 24*u - 12*u. Let x(o) = 2*o**2 + 6*o + 7. Let w(n) = 4*v(n) - 7*x(n). Let s(t) be the first derivative of w(t). Calculate s(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2351297, -2351298, -2351299, -2351300, -2351301, -2351302?\n\"Answer: -n - 2351296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32.1 + -32. Let z = -181.1 + 173. Let g = z + 8. Which is the closest to 3? (a) 4 (b) x (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -16*j - 177*j + 8369 + 2323 for j.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and -3183.96?\nAnswer: -44575.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**4 + 270*c**3 + 5265*c**2 + 43740*c + 131220 = 0 for c.\nAnswer: -18, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 20 = 0, 38524 = 4*z - 5*b - 2901. Let u = 36980\/27 + -1369. What is the common denominator of u and z\/375*(-2)\/(-18)*-1?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**4\/5 - 762*c**3\/5 + 156*c**2 + 6088*c\/5 - 9168\/5 = 0.\nAnswer: -382, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -x - x + 24, 2 = x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*30\/24 + (-10)\/8. Determine l so that 51\/4*l**4 + 3*l**2 + 0*l - 12*l**3 + 0 - f*l**5 = 0.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 714482036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1061332 months in decades?\nAnswer: 0.01755111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**2\/2 - 3*v - 32. Let s be o(2). Which is the fourth smallest value? (a) 0.1 (b) -2 (c) 0.5 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 + 77. Suppose -13*v = -y - 30. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4797820 at most as big as -4797635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 14*l - 15*l - 3 = 0, 4*v = -l - 13 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108612 and 48?\nAnswer: 434448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 686\/30 + (-6 - (-17 + 5))\/45?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 2*o + 1. Let h(a) = 5*a - a**3 + 0 - 21*a + 13*a + 1. Determine 2*h(c) - 3*y(c).\nAnswer: -2*c**3 - 3*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.54 - 0.06. Let j = 0.37 - 0.07. Let v = j + g. Which is the biggest value? (a) 3 (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, e: 11}. What is prob of picking 1 d and 1 e?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 9 = -2*t, 3 = 2*t - 5*l + 6*l. Suppose t*r = -0*r. Suppose -3*u = -w - 4*w - 3551, r = -2*u + 4*w + 2370. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2100 + -3048. Let s be m\/(-10)*(-320)\/48. Which is smaller: s or -633?\nAnswer: -633","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 4:23 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = k - 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891345441?\nAnswer: 3, 7, 42445021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 3*j - 5, -26*h + 2*j - 6 = -24*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**4 - 41740*q**3 + 208615*q**2 - 333740*q + 166860 = 0?\nAnswer: 1, 2, 8343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14709\/5320 - -165\/532. Let i(o) = 31*o**2 - 10*o + 2. Let j be i(-7). Let u = j + -9679\/6. Find the common denominator of w and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107881*h**4 + 15*h + 892?\nAnswer: 1294572*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164e (base 16) to base 3.\nAnswer: -21211111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**6\/6 - 7*h**5\/5 + h**4\/2 + 20*h**3 + 36*h**2 - 4852. Let u(r) = 0. What is r?\nAnswer: -6, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20048685.\nAnswer: 3, 5, 1336579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48449 a multiple of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 - 6453939.\nAnswer: -6453949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (2625\/(-10))\/(-5). Let b = w - -195\/4. What is the smallest value in 4, b, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*i**3 - 120*i**3 + 237*i**3.\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 9*n**2 + n + 3. Let a be q(-9). Let d = -6 - a. Let y(z) = z - 7. Let l be y(7). Solve l = 4*h + 2*r + 4, -5*h = -d*h - 5*r + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 0 + 0 - m - 5*m**3 + m**2 + 6*m**3. Let d(j) = 17*j**3 + 3*j**2 - 3*j - 3. Let r(c) = -d(c) + 3*i(c). What is the derivative of r(g) wrt g?\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2696619 to the power of 1\/2, to the nearest integer?\nAnswer: 1642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2)*(0 - -2). Let c(q) = 2*q**2 - 6*q + 2*q + 2*q - j. Is c(2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1820742 or -1820721?\nAnswer: -1820742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 + -9 + (-35 - (11 - 22))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141827 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gryg when four letters picked without replacement from {y: 11, o: 2, r: 1, g: 2}.\nAnswer: 11\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 + 4*k - 4*k - 7*k**2 + k**2 + 0*k**2 + (-k - 3 + 3)*(-5*k + 4*k + 2*k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 2*u**2 + 4. Let t be n(0). Sort -9, -4\/9, t, -4\/3 in decreasing order.\nAnswer: t, -4\/9, -4\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6099, -5942, -5765, -5568, -5351, -5114, -4857?\n\"Answer: 10*o**2 + 127*o - 6236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.53387ug in kilograms?\nAnswer: 0.00000008453387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 27. Suppose 0 = r - d. Suppose 21 = r*b - 404. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 y, and 1 f when three letters picked without replacement from ytlymdfmffm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 - 3*b + 4. Suppose -k - 4*w + 0*w - 13 = 0, -4*w - 25 = -3*k. Let p be h(k). What is the units digit of p*((-84)\/8)\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3 + 11\/4*p - 1\/4*p**2 = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3944 divided by -253\nAnswer: -3944\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(285) - 5*(sqrt(285) + sqrt(285) + sqrt(285)*-2))\/(sqrt(720)*-1))\/(sqrt(18)\/((2*sqrt(12) - sqrt(12))\/sqrt(2))*-5).\nAnswer: sqrt(19)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 12*m**2 - 12*m + 7. Let r be o(-13). Let i be r\/27 - (-30)\/(-351). Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3 = -13. Suppose -12 = c - m*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-3922 + 5 + 4). Suppose 11*v + 16*v = m. What are the prime factors of v?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423*t**3 - 192 + 98 + 94.\nAnswer: 423*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 11.00305 kilograms?\nAnswer: 0.01100305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 0) + 1 - (7 + -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -9*p**3 + 2*p**2 - 6*p + 11. Let r(f) = 2*f**2 + 18*f + 10. Let h be r(-8). Is q(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*d**2 + 71 - 71)*(-17*d - 4*d + 3*d)*(2 - 3 - 1).\nAnswer: -1980*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3703645 - 3703631.199724. Let y = l + -13.8. Round y to five decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/43 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - a - 1)*(13 + 1 + 2).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5647 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 9*n**2 - 11*n. Let h be f(-8). Let o be 12\/h*116\/2. Suppose 44 = 5*d + o. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**5\/20 + k**4\/12 - 8*k**3\/3 + 9*k**2. Is q(-7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x. Let b = x + -2. List the prime factors of 6 - ((-2 - b) + 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f + 12. What is the remainder when i(18) is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17250 + -27\nAnswer: 17223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*i - 37. Suppose i*n - 8*n = 762. What are the prime factors of n\/(-4) + 4\/(-16)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -9766.0316 + 9764. Round k to two decimal places.\nAnswer: -2.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2653*d*h**3 + 29*d*h**2 - 2*h**3 - 2*h**2 - 8*h - 792 with respect to d.\nAnswer: 2653*h**3 + 29*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = -2*n + 8, 0 = -5*h - 3*n - 18. Sort -2, 2, h, 48 in increasing order.\nAnswer: h, -2, 2, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -4.99. Let x = u - -3.99. Let g = -4.1 + x. What is the smallest value in g, 4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 11*b + 14. Suppose 14*p + 10 = 80. Let a(o) = -7*o - 9. Calculate p*m(n) + 8*a(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5726 - 10*p**2 + 5730 - 11456.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 453.9 - 414. Let v = n + -0.9. Let k = -44 + v. Which is the nearest to 4? (a) k (b) 0.1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 903937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 22 = 3*d + n, -2*d - 13 = 3*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155006.\nAnswer: 2, 17, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 2*k**2 - 2*k + 1. Let z be v(-5). Let s = z + -55. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 = 5, 5*k + 21 = -2*o. What is the smallest value in -5, 0.3, o, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -284*q**3 + 3*q**2 + 5*q + 7. Let z = -28 - -26. Is m(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i + 4 = 0. Suppose 0 = i*r - 0*r - 6. Suppose 0*n + 6 = -2*n, r*y - 5*n - 135 = 0. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2943)\/327 - (2 - 10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262605.8 minutes to seconds.\nAnswer: 15756348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(-2)\/4 - -2. Let f be 88\/10*10\/2. Suppose -j*p = -f - 32. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000140126 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3}. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*z - 63010401 = 0, 2*s + 5*z = 7*s - 105017370. Let v = s - 46983471. What is v rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 28, -3, 359?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 11*t**2 + 2*t + 29. Let s(d) = 31*d**2 + 6*d + 88. Determine -6*s(v) + 17*y(v).\nAnswer: v**2 - 2*v - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*t + t - 4229252 - 39*t + 4229252 + 26*t.\nAnswer: -153*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -260*t**3 + 252*t**2 + 8*t = 0. What is t?\nAnswer: -2\/65, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -77*i + 87*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -481*a - 671*a + 1795*a - 642*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n. Let d(w) = -6513*w**2. Give d(z(k)).\nAnswer: -6513*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 6:58 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493 = -44*n + 200*n + 384 - 97 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-2*-6*5*-6*-4)\/((sqrt(72) - sqrt(72)*2) + (sqrt(16)\/sqrt(2) - sqrt(8))*1 + (sqrt(48)\/(sqrt(24)\/sqrt(4)) - sqrt(648)*2)).\nAnswer: -72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 4)*(-327*i**3 + 127*i**2 - 127*i**2 - 775*i**3)*(-19 - 13 - 1) as c + f*i**2 + y*i**3 + x*i and give y.\nAnswer: 36366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 44, 102, 186, 296?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*(g\/(g*g**(-2\/3)\/g))\/g))**22 assuming g is positive.\nAnswer: g**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4327415 (base 9) to base 11\nAnswer: -1346181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26686 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 389 + -424. Find the common denominator of -91\/80 and ((-104)\/(-300))\/((-95)\/h - 3).\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52850.63 litres?\nAnswer: 52850630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149436266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 530752181?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-14))\/(4\/(-14)). Is (-3)\/i + 1079\/2 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 7:58 AM and 1:39 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4\/5 - 10551*d**3\/5 + 31236*d**2\/5 + 274452*d - 1265040 = 0. Calculate d.\nAnswer: -12, 5, 10, 3514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2)*(1 - 1). Let t(d) = d**3 - 5*d**2 - 4*d - 14. Let z be t(6). Which is bigger: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-14) + (-560)\/(-294). Let i = f + -15\/7. Which is greater: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/7))**8\/((c\/(c\/c**(-11\/2))*c)\/c*c\/c**7*c) assuming c is positive.\nAnswer: c**(195\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006453 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**3 - 4*a**2 + 4*a. Let d(x) = x**2. What is 4*d(l) + w(l)?\nAnswer: 5*l**3 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -617140 by 123428.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-46)\/115 - (402\/10)\/(-3). Suppose 24*p = 21*p + 24. Suppose -3*u + p*u = 715. Calculate the greatest common divisor of u and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 + 6*q + 1. Let s(i) = -4*i**2 + 13*i + 2. Let p(r) = r**2 - 9*r + 5. Let n be (3 + 2)\/(5\/6). Let x be p(n). Calculate x*z(h) + 6*s(h).\nAnswer: 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1681 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18676 and 42504.\nAnswer: 1232616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/54 and -62\/5.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1011 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4213 + -66?\nAnswer: 4125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38867125?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) 1 (c) -3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/9 + 2\/(-9). Let l = -108.074 + -1.126. Let n = l - -109. Which is the biggest value? (a) n (b) y (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 3*c - 2. Suppose b + 2 = -2. Let g be -2 + 4 + (b - 2). Determine t(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.97 - 19. Let d = l + 0.43. Let j(s) = 10*s - 29. Let m be j(3). What is the third biggest value in d, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 844 divide 168293537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 43\/3 of a hour?\nAnswer: 860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-7 + (-2365)\/(-340)). Let i = -86 + f. Calculate the lowest common multiple of i and 30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100101100000001110 (base 2) to base 16.\nAnswer: 2580e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/12*(-56)\/(-147).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34103 - 220423?\nAnswer: -310031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 8:54 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87 + 374. What are the prime factors of v?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8752669 a multiple of 991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 3)*(s**2 + 2*s**2 - s**2) - 3*s + s**2 - 3*s + 7*s to the form y*s**2 + o + j*s and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4886 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 751173 divided by -3?\nAnswer: -250391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*i - 49. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 978 - -2489. Suppose 4*s = -g - s + 671, 5*g = 3*s + f. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and (-27)\/(-1) - 3 - 3.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 818656809 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1910 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 40277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 68 = -q - 31, -2*n - 5*q = -33. Solve -2*b - 3*x = 15, n = -4*b + 5*x - 9*x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 299*s + 14 = 300*s, 4*s - 26 = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*d + 134000, -2*v + 0*d = -d + 268000. What is v rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22361, -44758, -67167, -89594, -112045, -134526, -157043?\n\"Answer: -z**3 - 22390*z + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 9*x - 10. Calculate r(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.033 + 0.067. Which is the closest to p? (a) 0.12 (b) 2\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**5 + 54*w**4 + 1017*w**3 + 8208*w**2 + 27216*w + 31104 = 0?\nAnswer: -24, -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7 + 96261\/(-44))*-4?\nAnswer: 11, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*l - 32*l + 123 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62976671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1761 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t - 210*t = 661 - 94 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 247345421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/(((-4)\/64)\/1). Let h be x\/(-10) + (-24)\/5. Let t be h\/(-20)*0*2\/(-8). Solve t = r - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2414*s + 48 = -2408*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.008 - -0.00799947. Round u to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1017*p**4 + 6*p + 380290 with respect to p.\nAnswer: 4068*p**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5715, -5721, -5729, -5739, -5751?\n\"Answer: -y**2 - 3*y - 5711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j\/j**(-5))\/j)\/j*(j**2*j*j*j)\/j*j)\/(j\/((j**(-6)*j)\/j))**49 assuming j is positive.\nAnswer: j**(-333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 53135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/3)\/((-12)\/((-72)\/15)). Let p be (7\/k + 1)*78\/39. Calculate the greatest common factor of p and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01726 to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 8 = 34 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + (sqrt(5) + 3)*-5.\nAnswer: -14 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -2.3. Suppose -13236*j = -13206*j. What is the nearest to j in a, -0.7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -5 (b) 7\/14768 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 - -1. Which is the nearest to 0.5? (a) 0.5 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371231.\nAnswer: 7, 181, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 222605546 to the power of 1\/2, to the nearest integer?\nAnswer: 14920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(4\/11))\/(q\/(q*(q\/(q\/(q\/((q*q\/q**(3\/7)*q)\/q)*q)))\/q)*q))**(-25\/7)\/(q*q**(1\/11)\/q*q*q*q*q**(10\/3)*q*q)**(-30\/13) assuming q is positive.\nAnswer: q**(116395\/7007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38037 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4 + f**2 + 2*f**3 + 1 + 2. Calculate p(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/(-2*sqrt(6)))\/(6*sqrt(16)\/sqrt(2)))**2 - sqrt(80)\/(sqrt(1000) - sqrt(10)).\nAnswer: -2*sqrt(2)\/9 + 1\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*m**2 + 245*m - 15 = 0 for m.\nAnswer: -1, 3\/52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 8*j - 6. Let d(z) = 3*z**2 - 23*z + 17. Suppose 3*b - 24 - 58 = 2*r, -b = -2. Let w be (-1276)\/(-209) + 4\/r. Calculate w*d(t) + 17*n(t).\nAnswer: t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-29656)\/(-64) - -5)*2\/(-3). Let t = -43507\/140 - f. What is the common denominator of t and -40\/11?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*n + 5*d, 3*d + 20 = n + n. Suppose -n*y - 7*l = -2*l - 307, -3*y + 259 = -2*l. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.803 times -53?\nAnswer: 95.559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 88.2094um?\nAnswer: 0.0000000882094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 5. Let y(h) = -3*h + 3. Let u(x) = -1. Let j(s) = -3*u(s) - y(s). Let n(b) = b - 1. Let o(q) = -j(q) + 4*n(q). Calculate 3*g(c) + 4*o(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((1\/1)\/(-24)). Let v be (u\/28)\/((-2)\/(-14)). Let n(i) = i**2 - 7*i + 8. Calculate n(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 - 60. Let u be 1*h\/(5 - 4). Suppose -q + 4*g = -u*q + 4, 15 = 3*g. Calculate the remainder when 63 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6*h*(h**(-20)\/h)\/h*h*h\/(h\/h**(8\/13))*(((h*h**(18\/5)*h)\/h)\/h)\/h)**(2\/13) assuming h is positive.\nAnswer: h**(-1402\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Let p be 6\/i - 116\/36. What is the second smallest value in -0.1, 2, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (0 + 0 + -2). Let v(h) = -1194 + 2421 - 1228. Let j(r) = -5*r + 11. Give f*j(m) + 22*v(m).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**4\/4 + 5*t**3\/3 + 5*t**2\/2 + 4*t - 4. What is q(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**6\/60 + a**5\/20 - a**4\/24 + a**3\/6 - 3*a**2. Let d be s(-3). Let n = 33 + d. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4a759 (base 11) to base 12\nAnswer: -36155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2)*n)**(-29\/5)\/(n\/n**1)**(-24) assuming n is positive.\nAnswer: n**(-29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.9 + 170.9. Let k = m - 141. Let u = 52.979 + -53. Are u and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28800551391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2546, -2547, -2548, -2549?\nAnswer: -2550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1666230 from 0.0047275.\nAnswer: 1666230.0047275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 175556538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 585 = -81. Let j = w - 84. Let a be (-2)\/(-4)*j\/(-2). Solve -5*t + 29 = m, 0*t - 22 = -2*t - a*m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5583 rounded to 2 dps?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 7*g + 16 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5573382)\/(-272) - 9\/24.\nAnswer: 2, 3, 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Suppose 502 = 40*a - 3378. Solve a*f - 94*f + 3 = v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 133 + -120423?\nAnswer: -120250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/50 and 11\/200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 12:42 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*t - 12*t + 5*t - t**4 - 2*t**4 - t**2 + t**2 + (-3*t**4 + 2*t**4 + 2*t**4)*(8 - 9 + 7) + t**4 - 1 + 1.\nAnswer: 4*t**4 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3015*g**2 + 1005*g**2 + 1009*g**2 + 1005*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 q, and 2 v when four letters picked without replacement from {q: 5, z: 1, h: 4, v: 10}?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 10 + 17 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442110324 (base 5) to base 15.\nAnswer: 27ae44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r\/r**(-18)*r)))**(-8\/7) assuming r is positive.\nAnswer: r**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6285*l**4 - 3180*l**4 - 3273*l**4)*(l - 4*l - 2*l).\nAnswer: 840*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - -3 - 122*1. List the prime factors of (1\/(-3))\/(8\/x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 211 + -223. Let l(n) = -3*n - 4. Let o be l(i). Calculate the greatest common factor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7\/2 - 3. Which is the second smallest value? (a) -0.4 (b) q (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6 - 24 = 0. Suppose -d + 15 = -10*p. Solve p = -0*m - 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r**2 + 5*r**2 - 2*r**2)*(-234*r - 6*r**2 - 240*r + 480*r - 3) to g*r**3 + h*r + t*r**4 + j + s*r**2 and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from ssswfssssfsfsffss.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*j + 2*f - 6 + 35 = 7 + 6, -24 = -3*j + 3*f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1174*k + 2363*k - 1191*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 2224?\nAnswer: 6672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*9 - (6 - (10 - 2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6418891.66 and 0.2.\nAnswer: -6418891.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -770113, 4, -101.\nAnswer: -770113, -101, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -211145 + -1044?\nAnswer: -212233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y. Let r(o) = -3*o - 42390. Calculate w(r(i)).\nAnswer: -3*i - 42390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**3 - 21*v**2 + 7*v + 7. Suppose 6 = 8*p + 22. Let j(s) = s**3 - 7*s**2 + 2*s + 2. Let z(k) = p*i(k) + 7*j(k). Give z(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Let s be p + 105\/(-24) + 2. Which is the third smallest value? (a) 0.1 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -3. Let l(x) = x**3 - 9*x**2 + 10*x. Let t be l(q). Let i be 7\/1 + t\/4. What is the highest common factor of 33 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436369?\nAnswer: 479, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.91 + -17. Let m = -0.01 + u. Put 4, -3, m in decreasing order.\nAnswer: 4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16264903, 16264888, 16264869, 16264846?\n\"Answer: -2*v**2 - 9*v + 16264914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 6. Let f(z) = -z - 1. Let i(w) = -w**2 + 2*w + 4. Let l be i(-1). Suppose -c = -l, 5*c = -v + 3*c + 1. Give v*r(y) - 4*f(y).\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.3, 59.1, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 42*v + 168. Calculate the remainder when 8910 is divided by b(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (26*3\/(-6) - 39\/13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 13*c**2 - 5. Let r be a(13). Suppose 0*x - 15 = 5*w - 5*x, w + 5*x = 3. Sort 5, r, w in increasing order.\nAnswer: r, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z + 5. Let i be j(4). Let r(d) = d**2 + 3*d + 3. Let k be r(i). Suppose a - 92 = -0*t - k*t, 44 = t + 3*a. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.8802 rounded to one dp?\nAnswer: 20.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 211236, 422488, 633738, 844986, 1056232?\n\"Answer: -m**2 + 211255*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86*(-3)\/126*3 - -6.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 27 - 1 = -2*d + 34 - 4, 4*h + 866*d - 869*d - 53 = 0 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 13*x + 3. Let v be c(11). Suppose -1 = 8*n - v. Let r be 9 + -2 + -1 + 2. Solve 7 = n*g - r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 4321478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3302114910*s**3 - 14855*s**2 + 14855*s**2 + 3302114911*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -645 times -0.2?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, 1749, 5, 3.\nAnswer: 3, 5, 91, 1749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 34 = -4*v, 0 = 136*v - 138*v - 3*d + 22 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.3 or 2\/5?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 6*x - 9. Calculate the smallest common multiple of 20 and c(-9).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 817160 by -710.\nAnswer: -81716\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waaraaaaaaaraar. Give prob of sequence wr.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z. Suppose 3*t - 22 = t. Let u(n) = -t*n + 7*n + 6*n. Calculate b(u(d)).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 + 10 + 4 + 50*a.\nAnswer: 50*a + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 313 = 277. What is the highest common factor of o and 708?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 777519.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2 - -2)*-14 + 10. Suppose 0 = 5*h + 10, x - h = -2*x + 17. Sort -5, x, i in increasing order.\nAnswer: -5, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1470 and 434?\nAnswer: 45570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**2 + 13844*n - 152768 = 0. Calculate n.\nAnswer: -3472, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -470 + 110. Suppose -g + 10 = 4*f, 0*g + g = -2*f + 6. Is (g\/6)\/((-8)\/c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 12 - 6. Let a be ((-80)\/6)\/(-4) + 51\/(-153). Solve 5*i + 15 = -o*t, -4*t + a*i + i + 40 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((0 - -4 - (-24 - -32)) + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 3*s + 2. Let d be n(2). Let y(q) = -3*q + 0*q - d*q + q**2 + 7. Let t = 14 - 9. Determine y(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g + 5. Let c = g - -2. Let w(y) = 2*y**3 - 5*y**2 + 2*y + 1. What are the prime factors of w(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27280, -109131, -245550, -436537?\nAnswer: -682092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven quarters of a microsecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 3, g: 4, n: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -2*s + 6*s**2 - 1\/24*s**4 + 0*s**3 + 23\/60*s**5 + 0. Let o be 4\/24 - (-5)\/6. Calculate z(o).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 1416.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 5*b**2 - b**2)*(-b**2 - 5*b**2 + 4*b**2).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 7 = s + 2*v, -4*s + 4*v - 28 = 0. Let c(j) = -j + 4. Suppose -6*d = -d, -4*l + 5*d = -16. Let g be c(l). Sort s, 1, g in ascending order.\nAnswer: s, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4 = 19. Suppose -3*t + n = -3. Suppose 3*a - 4*a + t = 0. Solve 0 = 3*i + 5*q - 10, -3*i + 7*q - a*q - 40 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887416553.\nAnswer: 887416553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**1))\/i**16)\/(i*i\/i**(9\/4)*i)**(-3\/16) assuming i is positive.\nAnswer: i**(-1079\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 3426?\nAnswer: -1\/1142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3071128675.\nAnswer: 5, 401, 306347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 103*o - 17 = -106*o, 3*v - 28 = -4*o for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6 - 9.6. Let f = -8.00000009 - t. Round f to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2870 and 62720?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 1642331*o - 82119050.\nAnswer: (o - 50)*(o + 1642381)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a day in minutes?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 10*k - 15*k = -19, 2*b = 3*k - 17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u**2. Let i = 7 - -11. Let p(g) = 2*g - 3*g + 18 - i. Give p(y(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4 = -2. Let v(h) = h**2 - 9*h - 8. Let b be v(12). Let a = b + -25. Solve a*z = -j + 1, 2*z + 5*j - s*j = -11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-99)*(-11 - -20))\/((-26)\/6).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five eighths of a second?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 26 + 2*j**3 + 7.\nAnswer: 2*j**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 1. Let t be (-2*4\/8)\/1. Let q(v) = 5*v - 3. Suppose n - 7 = 5*p, -n + p + 8 = -3*n. What is n*l(g) + t*q(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/3360*14*-4*(-2)\/(-4).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -7. Suppose 0 = -v*i + 6*i - 6. What is t in 0*t + 1\/2*t**i - 1\/2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*c*z + 301*c - 2535*z wrt c?\nAnswer: 13*z + 301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*(0 + sqrt(242)*-1 + 0 + 0))**2.\nAnswer: 88*sqrt(2) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33599 is divided by 120.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, l: 8, w: 6}. What is prob of picking 2 w?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 - -60. Suppose 14*g - 10 = c*g. Solve p - g*p = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, 2\/309, -0.2, 4\/9, 0.5, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.6, 41, 2, -3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*v + 364, -5*v = 8*c - 13*c + 500. Calculate the greatest common divisor of 272 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**3\/5 - 174*a**2\/5 - 10092*a\/5 - 106. Suppose z(o) = 0. Calculate o.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-39 + (47 - 50))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 293 in 0.8, -1\/2, 3\/7, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 48*g - 16. Let c be o(8). Let x = c - 365. Solve -4*t - 13 = -x*d, 3*t + 2*d + 0*d + 14 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297506.\nAnswer: 2, 11, 13523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + n + 1. Let z(x) = 8*x**2 + 42*x - 10. Let r(s) = 10*t(s) + z(s). Suppose r(g) = 0. Calculate g.\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 301? (a) 387 (b) -60\/13 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 77 - 87)*(2*o + 2*o - 3*o)*(o**2 + 4 - 4).\nAnswer: -103*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -2*i**3\/3 + i**2\/2 - 88. Let h(y) = y. Determine h(n(q)).\nAnswer: -2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*z + 77*z - 7*z)*(-2 - 2 + 2) + 2*z - 6*z + 3*z.\nAnswer: -299*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 5:18 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/2*(32\/(-10) + -4). Solve -1 = w - 3*k - r, -4*w - 5*k - 17 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1738, 7457, 16982, 30307, 47426, 68333?\n\"Answer: -b**3 + 1909*b**2 - b - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288969885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-1)\/(-9)*-1762. Suppose t = -0*t - 1163. Let i = h + t. Calculate the common denominator of i and 24\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/24*(-8 + -1). Let g be 6\/9 + -2 + 49\/i. Solve -g = -5*w + 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 64, 279, 640, 1147, 1800?\n\"Answer: 73*z**2 - 4*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-5 - ((5 - 3) + -3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 324 - 324.01935. Let v = t - -7.27635. What is v rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206505553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 44 - (-15 + 0)) + (0 - (-3 - 3))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -150, -1, 0.027, -8\/7, 4?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p - 17*p = 285. Suppose z = 28 + p. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {a: 10, p: 9}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 5. Let w = -290.6 + 371. Let a = 80 - w. What is the biggest value in a, h, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 14. Give y(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1121\/(-295))\/(5 + (-468)\/90)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + 0. Let m = n + -8. Let x(q) = 4*q - m*q + q + 3*q**2. Let s(w) = -w. Calculate x(s(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 - 3*h + 7. Let r(v) = v**3 + v**2 + v + 7. Let n be r(0). Let p be a(n). Calculate the common denominator of (p\/(-18) + -2)\/(-1) and -16\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11333\/18612 - 1\/396. What is the common denominator of 95\/18 and o?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.805928ug to nanograms.\nAnswer: 6805.928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -4. Let l be 4 + -2 - (2 + -2). Suppose -l*s - 5 = -x*s. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (0 + -3) - 1. Let w(j) be the second derivative of 0 + 0*j**2 - 8*j + 0*j**4 - 1\/6*j**3 - 7\/20*j**5. Calculate w(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*r + 19751 = 1481 for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*c**3*s**3 + 222*c**3*s*z + 5*c**2*s**3*z + 2*c*s**3 + s**2*z + s*z + 2*z wrt s.\nAnswer: -102*c**3 + 30*c**2*z + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 + -0.28. Let s = v - -42.17. Let w = 42.4 - s. What is the smallest value in -0.15, w, 5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*m - 0*m, 0 = 2*k - 4*m + 8. Solve 5*t + o + 12 = k, -18 + 0 = 3*t - 3*o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, x: 12}. Give prob of picking 4 x.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1605 - -24) + -3 + 10 is divided by 47.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19706 + -1.4773\nAnswer: -1.28024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -2*d + 289. Suppose 3*t - 54 - d = 0. Suppose 3*s = -s + t. Solve -2*h - h = s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84384642 divided by -18542.\nAnswer: -4551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 13*j**2 + j + 16. Let y be b(-13). Calculate the common denominator of -3 - (-376)\/20 - 12\/y and 45\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 12 - 3*j**2 - 6 - 5 + (-j + j + j**2)*(-6 + 4 + 0).\nAnswer: -5*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3042 + -3039. What is the smallest value in -0.64, m, 2\/9?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -703953 divided by -4.\nAnswer: 703953\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - f + 59 - 2*f + 15.\nAnswer: -3*f + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 5. Let r = v + -8. Put -4, r, 0 in decreasing order.\nAnswer: r, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 187 and 153?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 + 9 + -19)\/(-7). Let i = 212 - 202. Solve j = -4*b - b + i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13612093 to the power of 1\/3, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 18, 4, -26, -78?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y = 2*k - 118, 0 = -4*k + 4*y + 212. Suppose 4*r - 14*o - 44 = -15*o, -3*r + 56 = -5*o. What is the remainder when k is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -0.5 (c) 29 (d) -167 (e) 2\/3 (f) 15\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t - 12608364. Let g(l) = 2*l**2. Calculate m(g(p)).\nAnswer: 6*p**2 - 12608364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**4\/12 + 7*m**3\/6 - 13*m**2\/2 - 4*m. Is q(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**(6\/11)*c)*c)\/c*c)**(8\/5) assuming c is positive.\nAnswer: c**(128\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.233404us in minutes?\nAnswer: 0.0000000872234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1344 and 119834.\nAnswer: 16105.6896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57403?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d**2 + 4*d**2 - 2*d**2 + (-3*d + 0*d + 5*d)*(1 + 2*d - 1) - d**2 + 3 - 3 - d**2 - d**2 + 0*d**2)*(7*d**2 + 5*d**2 + d**2).\nAnswer: 130*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 53484, 3.\nAnswer: -6, -2, 3, 53484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - n - 5*j + 20, 4*n + 2*j - 8 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -50, -56263 in decreasing order.\nAnswer: -5, -50, -56263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 - -15?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -644 - -649. Find the second derivative of 201*z + 3*z**4 + 42*z + 8*z**5 - 17*z**u wrt z.\nAnswer: -180*z**3 + 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109001639.\nAnswer: 181, 337, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*p + 111 - 672 = -136*p + 843 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**3\/7 + 6*x**2\/7 + 72*x\/7 = 0.\nAnswer: -4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 3. What are the prime factors of (h\/(-3))\/(2\/(-12))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 52*g + 50. Determine u(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-240730)\/(-456) + (-2)\/(-24). Let l(f) = f**3 + 2*f**2 - 31*f - 9. Let h be l(-6). What is the highest common divisor of h and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19234.\nAnswer: 2, 59, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -33.9?\nAnswer: 31.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (542 - 824 - 560 - 539)*(-5*z + 3*z + 0*z)*(1 - 5 + 5).\nAnswer: 2762*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -64, -64, -62, -58, -52, -44, -34?\n\"Answer: m**2 - 3*m - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*n = -10, -2*u + u + 2*n = -4. What is the greatest common factor of 48 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 33*d. Suppose -731 = -2*l - 3*f, 2*f + 1035 = 4*l - 467. Let s(h) = l*h + 3*h**2 - 373*h. Give s(p(q)).\nAnswer: 3267*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*q = 120*q - 7520. Solve -14 = q*d - 54*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - -104. Suppose 17 = -2*o + v. Suppose 0 = -j - 0*j + o. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 826923 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3682.703533 to the nearest one hundred.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 - -3 - (-57)\/3 - 4. Let d = 0 + r. Calculate the smallest common multiple of 254 and d.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g = 704. Let m = g - -11. What is the highest common factor of m and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2837\/1989 + -4\/221. Calculate the common denominator of v and 71\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 29*x - 3. Give a(2).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/14))**(-1\/6)*(b**(-2\/7)*b)\/(b**3*b))**(-2\/11) assuming b is positive.\nAnswer: b**(93\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erhhu. Give prob of picking 1 h and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2)*(-12)\/8)\/1.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a - 7. Let y be p(6). Let h = -3 + y. Differentiate -c**3 + 1 - 2 + h wrt c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*d - 6*d = 230, -120 = -i + 4*d. Let n(a) = -2*a**2 - 21*a - 17. What is the remainder when i is divided by n(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 141*c + 7*c**4 - 4*c - 4*c**4 - 12*c**3 wrt c.\nAnswer: 36*c**2 - 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6560015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92400 and 1636656.\nAnswer: 450080400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in 0.3, -0.9, -4\/9, -15, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 34328, 40203, 46078?\n\"Answer: 5875*w + 28453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92 + 106. Differentiate 10*k**3 - 9 + 0*k**3 - 13*k + t*k wrt k.\nAnswer: 30*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 44 - x - 20 - 24. Let h(y) be the second derivative of -y + 0*y**2 + 0 + 0*y**3 + 5\/6*y**4. Determine h(t(u)).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**8\/14 - 5*m**4\/4 + 14*m. Find the third derivative of o(y) wrt y.\nAnswer: 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46575102 to the power of 1\/3, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 4:49 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 d when three letters picked without replacement from fdrfqffqoffodddkodq?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-2) - 4)*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -28)\/((-4)\/(-2)). Suppose k = -0*r + r. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 2*d = -5*r + 24, 3*r - 16 = 4*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245 and 1190.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4 + 0*t - 5*t - 3. Let q(j) = -j**3 + 21*j**2 + 2. Suppose -3*u + 4*x + 59 = 0, 0 = -0*u - 2*u - 4*x + 46. Let s be q(u). What is z(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-998)\/(-3) + 5\/15. Suppose -5*l + 4*f + v = 0, -2*f - 103 = -3*l + 96. What are the prime factors of l?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/((-2760)\/32)*6\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, c: 2, r: 8, t: 2}. What is prob of picking 1 r, 1 o, and 1 t?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 29928 * -20\nAnswer: -598560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10110000011010110110010 (base 2) to base 7\nAnswer: -100064656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/((-1750)\/28))\/(2\/(-7))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (8 + -19 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**12*v)**7 assuming v is positive.\nAnswer: v**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1260*n = 892*n + 1472 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q*q)**(-1\/19)*q\/q**(-4\/7)*q\/(q**(-1)\/q) assuming q is positive.\nAnswer: q**(587\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 - 93 + 112 - 3*f**3 + 0*f**3.\nAnswer: -2*f**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 7. Let o = 3.3 + 0.7. What is the closest to 0.03 in 2\/5, o, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2185751500 to the nearest one million.\nAnswer: 2186000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(432)*-2 + 3 + 6*1*sqrt(432) + sqrt(432).\nAnswer: 8 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1858822\nAnswer: -1\/1858822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -49361*14\nAnswer: -691054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.1, 4, -15, -0.5 in descending order.\nAnswer: 4, 0.1, -0.5, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -199, -633, -1357, -2371?\n\"Answer: -145*i**2 + i - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 17*y + 54. Let b be t(-4). Suppose -5*f - 2*r = -15, 0*f - b*f + 2*r = -6. Solve -2*v - 4*z - 3 = -1, 0 = -f*v - z + 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (41\/205)\/(6\/10). Suppose 2*i = i - 4. Which is smaller: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-672)\/952*34 + (-2)\/(-4)*-2?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117083728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*u + 57, -b - 3*u + 11 = 2*u. Let p(w) = -w**2 - 9*w + 9. What is the remainder when (-26 - 0\/(-1))\/(-1) is divided by p(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55161, 55146, 55131, 55116?\nAnswer: 55101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) + (sqrt(99) - (-2*sqrt(99)*-1 - sqrt(99)))))*-2)\/(-6*(3*sqrt(900) + sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33652102.\nAnswer: 2, 11, 397, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268200 is divided by 38305.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.0450642, 2\/5, -2, 2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x + 24. What is the smallest common multiple of 22 and 3\/x + (-15)\/(-2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6843 smaller than 6842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -25?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5 = -3*s, 2*c = -8*s + 6*s. What is the units digit of (s + (-40)\/(-6))*(-25 - -223)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0 + 1. Is 6 a factor of ((-22)\/8)\/(p\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + 33*y + 95. Let j be k(-13). What is the common denominator of ((-2556)\/90)\/(j*5) and 11\/30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.98696 rounded to 2 dps?\nAnswer: -1.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1660 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -30032011122?\nAnswer: -30032011132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 299\/9 + -33. Which is the nearest to 0? (a) 2 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47235154 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 121.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 908033790 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**3 - 445*t**2 + 2100*t = 0.\nAnswer: 0, 5, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -67 and -63 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 10:53 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1967004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (352\/1408)\/(1\/(-4))*10\/2350\nAnswer: -1\/235","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-3))\/(22\/(-33)). What is the tens digit of (-539)\/(-6) - b\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -12*x**2 - 655*x + 320. Let f be y(-55). Let m = 144 - -216. Calculate the greatest common divisor of f and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 5102, 3, -3, -62.\nAnswer: -62, -37, -3, 3, 5102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/25? (a) 0.3 (b) 0.05 (c) -258 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -646, -1271, -1902, -2533, -3158, -3771, -4366, -4937?\n\"Answer: a**3 - 9*a**2 - 605*a - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -110392 (base 10) to base 12\nAnswer: -53a74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l - 39*l = 32 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**5\/15 - 3*o**4\/8 - o**3\/3 + 3*o**2\/2 - 2. Let r(j) be the second derivative of q(j). What is a in r(a) = 0?\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(5\/2)*a)\/a**(-5\/6))\/((a*a**1)\/a)**(-1\/13) assuming a is positive.\nAnswer: a**(172\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**3 + 3*r**3 - 4*r**3 + (-4*r + 6*r + r)*(4 - 4 - r**2) + (-2 + 0 + 0)*(-r**3 + r**3 - 2*r**3) to the form a*r**2 + c + v*r + z*r**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*w - 84, -16 = -0*t - 2*t - 4*w. Suppose c + 77 - 197 = 0. What is the highest common factor of c and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-5))\/f*f\/(f*f**(1\/5)))\/(f**(-2\/5)\/((f*f**(2\/13))\/f))*(f**1*f)**16\/((f**(-2\/7)\/f*f)\/f**(-5)) assuming f is positive.\nAnswer: f**(14851\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 414058 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7*y**3 - 3*y**2 - 3*y - 3. Suppose -h = -11*h + h. Suppose 17*m - 48 + 14 = h. Let c(v) = 6*v**3 - 2*v**2 - 2*v - 2. Calculate m*u(o) - 3*c(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (12 - -14 - 38 - 27).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32703416082 - 0.98\nAnswer: 32703416081.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/12 and -53\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -c - 0. Let u(s) = -3*s**3 + s**2 - s - 1. Let d be u(-1). Let v(h) = -6*h**3 + 5*h**3 - 5 + d*h + 2 - 2*h**2. Determine v(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -500, 5, 2.5, 4 in descending order.\nAnswer: 5, 4, 2.5, -1\/4, -500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -7 - -6) + (0 + -7 - -12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1694)*-2)\/(-1*sqrt(242)*4) + 2)**2.\nAnswer: -4*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 607*j**6 - 67*j**2 - 3*j.\nAnswer: 72840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2448848 and 57564?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 33. Let y be m(15). Suppose -y = 2*i + 5*j - 50, -j = -5*i + 53. Suppose -4*q - 10 + 14 = 0. Calculate the greatest common factor of q and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 14 = 2*o. Suppose 0 = q + 15 - 20. What is the remainder when o is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-186)\/(-465) + (-4)\/110*1. Let s = -6\/11 + c. Is -1 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9, -19, -29, -39, -49?\n\"Answer: -10*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1045\/(-33))\/(1\/3)*3. Is -286 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 5:48 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 16 = 8. Let i = 16 - k. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 236 and 1954?\nAnswer: 230572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 4*v - 30. Suppose -3*g + g + 32 = 0. What is the remainder when v is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from {d: 1, v: 1, c: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4700 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: Let p(n) = -2*n - 5. Let u(g) = 2*g**2 + 3*g. Suppose 3*j - 5*q + 0*q = -19, j - 5*q = -13. Let o be u(j). Let h = 5 - o. Give p(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5792428 + -2942551511\/508. Let v = -2\/127 + n. What is the common denominator of v and 137\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -7. Let q be 2\/2 - (5 - -2). Let j be q\/(-4)*c\/42. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*n - 15. Let z be -2*(2 + -3)\/1. Is ((-2)\/2 + z)*n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0041*-7413.\nAnswer: -30.3933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 41, -2\/7, 1, 0, -5, 0.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + (sqrt(180) - (-1 + sqrt(180))) + 1)**2 - sqrt(180)) + sqrt(180) + -5.\nAnswer: 24*sqrt(5) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcccrcrrccrcrccrrrcr. Give prob of picking 2 r.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + -1 + (-32 - (-125 + 55))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0650018 rounded to three dps?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21134999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11693 - 0.3491026344\nAnswer: -11693.3491026344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - a - 2*a)*(1 - 2*a - 1) + 3*a**2 + a - a + 5*a**2 - 1 + 2 - 3*a**2 + 0 + a**2 + 0.\nAnswer: 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144 + -87. What is the common denominator of -1\/11 and 1\/7 - (-831)\/k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -32130?\nAnswer: -32121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - k**2 - 3*k - 2. Let b be i(3). Let l(x) = -x**2 + 7*x - b*x. Let j(t) = -t**2 + t - 1. Determine 2*j(c) - l(c).\nAnswer: -c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -115857 and -115892 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350432958 to the power of 1\/3, to the nearest integer?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v**3 - 25*v**2 - 20*v. Let w(n) = 20*n**3 - 71*n**2 - 57*n - 2. Give 17*k(u) - 6*w(u).\nAnswer: -u**3 + u**2 + 2*u + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 31 = -3*j, -3*b + 0 = -j - 7. Is (410688\/56)\/8 - b\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 196*i**4\/5 - 476*i**3\/5 - 64*i**2 - 48*i\/5.\nAnswer: 4*i*(i - 3)*(7*i + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.45 - 0.05. Let z = 27 + -28. Let t = 102 + -409\/4. Which is the nearest to t? (a) z (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a = -s + 27, 123*s = 5*a + 128*s + 25 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-351)\/(-2163) + (-8)\/56. Let c = s - 319\/515. What is the closest to -1 in 1, c, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (22 + -21)\/((-2)\/88). Let h = t + 49. Solve -3*d + b = 4 + 4, -h*b + 24 = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*b + 71*b - 1450 = 79*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -3 (c) -1 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6*17\/(-4))\/(((-2592)\/128)\/27). Solve -47*f = -x*f - 104 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2617, -0.91, -7?\nAnswer: -2617","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53960.\nAnswer: 2, 5, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*d - 32 = 0, -16 = -5*k + d + 1. Let s be 2\/(-1 + 50\/48). Suppose w - k*w = -s. What is the greatest common factor of w and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -203*j**6\/120 + j**5\/60 - 13*j**4\/12 + 4*j**3\/3 + 2*j**2 + 167*j + 4. What is the third derivative of d(o) wrt o?\nAnswer: -1218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/((-45)\/10) - -4. Let r(u) be the third derivative of 0*u**4 - 1\/6*u**3 + 0 - u**k + 1\/60*u**5 + 0*u. Find the first derivative of r(d) wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 5:30 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 3*v + 13 = 2*u, -10 = -2*u - 4*v. Let i = u - -4. Let q = -3 - -2. Which is the closest to i? (a) -1\/3 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -22. What is the least common multiple of 10 and m\/(-16) - -2*1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16206, -16207, -16208, -16209, -16210, -16211?\nAnswer: -16212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 5*g - 3*o - 1, 4*o = 2*g + 8. Suppose -2*p - 1 = -55. Suppose -g*c = -21 - p. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.00766 in 2, -5\/3, -0.1, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-94620)\/(-46480) - (23\/7 + -2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3993 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jncwwctrcnjjjr. Give prob of sequence nw.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 28 = 4*u - 8*h, -4*h = 16. Let p be 22*((-3)\/(-3) - u). Let i be (-1 + p*1)*-1. What is the greatest common divisor of 161 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 11*i**2 + 27 in the form h*i + q + s*i**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y - y + 7*y - 20 - 8*y. Let w be s(11). What is the third derivative of 16 + 10*u**w + 13*u**3 - 16 wrt u?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -14546.\nAnswer: 1\/14546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.4 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2 + -3 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*j**2 + 67*j**3 - 63*j**2.\nAnswer: 67*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 649659806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 5*j - 81. Calculate the remainder when 53 is divided by j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 25740 = 37*p. Calculate the highest common divisor of 1188 and p.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*v - 14*v - 1805*v.\nAnswer: -1743*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(6) + 0 - sqrt(48)*3.\nAnswer: -11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 8:58 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1031726.0119 + 1031838. Let b = 112 - a. Round b to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.71 greater than or equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 1777791677.\nAnswer: 1777791676.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284, 1115, 2488, 4403, 6860?\nAnswer: 9859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88*g**4 - g**3 + 62?\nAnswer: 352*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5*p**4 + p**4 - 5*p**4)*(0 + p + 0).\nAnswer: p**5 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 18 = 24 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 7*y - 45 = 2*y, 20 = 3*q + y. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhmwwddmhdhmwd. What is prob of picking 1 d and 1 w?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(0 - (-4)\/52).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(374)\/((sqrt(11) - -1*sqrt(11))*-1 + sqrt(11)))\/(sqrt(24)\/(sqrt(108)*-2)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**4\/24 + q**2 - 34. Let c(t) = 92*t**2. Determine c(j(x)).\nAnswer: 92*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89415387?\nAnswer: 3, 19, 174299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245116.\nAnswer: 2, 233, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543684147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3 = -v, -4*v = -2*a - 6. Suppose -4*s = c - 12, -2*c + a*s = -2*s + 2. Suppose -c*i + 40 = 5*j, 4*i - 7 - 1 = 3*j. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60803.\nAnswer: 41, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25523 (base 10) to base 9.\nAnswer: 38008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 8 = 3*d, -4*g + 3*d + 34 = 6. Let t(f) = f**2 - 2*f. Let b be t(g). Suppose 5*v = -b + 33. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -9*t - 3*t + 26*t - 3*t - 11 + 2*t**2. Let p(y) = -y**2 - 4*y + 4. What is -4*o(g) - 11*p(g)?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1. Let g(j) = 37*j - 9. Let t(v) = g(v) + 2*z(v). Suppose -2*f - 10 = -2. Let w be t(f). What is w rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422400680 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2803433095 + -57.489.\nAnswer: 2803433037.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5*v + 505 + 291, -3*v + 2352 = 3*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 897\/8 + -241\/2. Let l = 193 - 1153\/6. Calculate the common denominator of l and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 32898, 65793, 98688, 131583, 164478?\n\"Answer: 32895*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 727 - 20*c**2 - 727.\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 211112202110 (base 3) to base 9\nAnswer: 745673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - a. Let u(p) be the second derivative of -5*p**4\/12 + p**3\/2 - p**2 - 74*p + 2. Give 4*g(c) + u(c).\nAnswer: -c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -513*k**3 + 20*k**2 + 2*k + 35. Is r(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m + 2. Suppose 54 = 4*q - 230. What is the remainder when q is divided by w(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 + 242 = 2*k. Suppose 0 = -3*u - 4*y + 104, -4*u + 4*y - 60 + k = 0. Suppose 0 = u*v - 37*v + 420. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1134260040 to the nearest 100000.\nAnswer: -1134300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 + 2*d**2 - d - 6. Let p be z(6). Let y be (-4)\/(-14) + p\/28. Let u = y + 30. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 0 - (1 - -38). Suppose -429 = -10*m - 3*m. Suppose 0 = m*w - 22*w + 429. Which is smaller: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -693.\nAnswer: 12474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-9)\/(-99) + (-1 - -1))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2 - q. Let t(b) = -b. Let v be t(1). Let i be p(v). Let y(l) be the first derivative of l**2 + 26. Give y(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14372 - -316255\/22. Let l be ((-17)\/(-1))\/((-19)\/4). Let u = l + -923\/342. Calculate the common denominator of u and h.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*v = -0*v - 12, 24 = 3*o - 3*v. Suppose w + 5*u = -o*w + 30, 0 = 5*w - 5*u. Solve 3*b + k = 16, -2*k - 2*k = -w*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 204.00000244 - 204. Round u to seven dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j + 8. Suppose 0 = -4*a + 4, -5*i + 2*i = 4*a - 136. Suppose 0 = r - 6*r - b + i, 2*r + b = 20. Give v(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 9*h. Let b(x) = 22*x - 18. Let j(w) = 5*w - 4. Let o(v) = 2*b(v) - 9*j(v). Calculate 4*m(f) + 28*o(f).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + b + 1. Let j(x) = -12*x**2 + 6*x + 17. Let s(z) = -44*d(z) + 4*j(z). Factor s(q).\nAnswer: -4*(q - 1)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/31 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 4. Let w be b(-2). Find the common denominator of -46\/11 and 2\/80*w*214.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12417, -24837, -37257, -49677?\nAnswer: -62097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/315 and 6\/(-22) - (-5151)\/35343?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*j = -131*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(4\/8 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 3) to base 4\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 6) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 13, 2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 214 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 161 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, a: 4, v: 1}. What is prob of picking 2 l and 1 v?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t**9*t)\/t*(t*t**(-10)*t*t)\/t*t*t*t)**(3\/10))**(-38) assuming t is positive.\nAnswer: t**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 4:50 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211654 is divided by 211515?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*r**3 + 73*r**2 - 5*r**3 - 36*r**2 + r - 44*r**2 in the form i*r**2 + w*r + l*r**3 + d and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 166 and 6?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-250 - -13)*(-1 + (-4)\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*o - 70 = 123*o. Sort -10, -4, o in increasing order.\nAnswer: -10, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 9 = 7*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20720 and 4976.\nAnswer: 6443920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 84 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -16. Which is the closest to 1? (a) 4 (b) 1\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 + 51. Let w = 3 + 1. Let s(i) = 5*i**2 + 4 + w*i**3 + 0*i**3 - 5*i**3 - 5*i. Determine s(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.285 to 1 dp.\nAnswer: 40.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*b + 36, -5*b = -3*h - 4*b + 123. Let t be ((-4)\/(-3))\/(4\/h). Suppose 0 = -v + t + 10. Calculate the highest common divisor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 78, 117?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 169 - 165. Is -50.2 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 4:22 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/11, 47\/5, -0.2, 5639?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1778 and 1783 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3283343\/110 + 29848. Find the common denominator of 25\/154 and h.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110533 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = u - 6*u + 58, 3*v + 41 = 4*u. Let c(n) = -n**2 - n. Let r be c(2). Let k = r + 10. Calculate the remainder when u is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-12)*(g\/(((g*g**7\/g)\/g*g)\/g))\/g)**(4\/15)\/((g\/g**(-2\/9))\/(g**(2\/23)*g)*g**3\/g*g*g*g**(5\/2)*g) assuming g is positive.\nAnswer: g**(-25741\/2070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 129312 divided by -24\nAnswer: -5388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 222\/(-24)*8\/10. Let h = r + 39\/5. Is h at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -30692.\nAnswer: -30692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 119. Does 26 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3*p + 122, 225 = 2*t - 3*p + 127. Solve 0 = 73*m - 84*m - t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3416825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7388 + 7778. What is the least common multiple of 78 and q?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1673 + -1673.6. What is the third smallest value in -3\/8, p, -2\/41, -3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 9*r + 7 - 4*r**2 - 3*r**2 - r**3. Suppose -3*p + 48 = -5*q + 7, p - 23 = 3*q. What are the prime factors of c(q)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 529436868 to the nearest integer?\nAnswer: 23009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-780245)\/120 - 9\/3. Let g = 6504 + v. What is the common denominator of -25\/22 and g?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + 0.03. Let l = y + 0.02. Which is the nearest to l? (a) 1 (b) -4 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.89, -1\/3, 4\/3, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1848*g + 12055 - 12055 in the form a + i*g and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*y + 4, 5*y + 0*l = l + 45. Let o = 7 + y. Calculate the least common multiple of 6 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -2\/3*m**3 + 0*m**2 - 4 + 0*m**4 + 0*m + 6\/5*m**5. What is the third derivative of t(d) wrt d?\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 479443.92 - 11.\nAnswer: 479432.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -34992940 to the nearest 10000.\nAnswer: -34990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1859800 divided by -27350\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o**(-4)\/o*o)*o*o**5*o*o**0*o*o\/(o\/(o*o\/(o*o*o**15))) assuming o is positive.\nAnswer: o**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -36242, -9.2 in increasing order.\nAnswer: -36242, -9.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31806791 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 686.9 - 688.9. What is the nearest to 0 in -0.07, -0.6, 1\/6, a?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -426 + -14434405?\nAnswer: -14435134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 4024*n - 739210. What is x(-176)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3575 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8*c**2 + 13*c + 4. Let n be h(10). Let s = n - 356. Let x(u) = -582 + 0*u - u + 2*u**2 - 2*u + s. Determine x(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*z + 7*z + 2*z**5 - 13*z**5 - 84*z + 84*z + (2*z**2 - 3*z + 3*z)*(-z**3 - 2*z**3 + 4*z**3).\nAnswer: -9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.309616?\nAnswer: -1.238464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -8. Suppose 3*s + 1 = 4*k, -k + 0*s + 6 = q*s. Is (k\/(-2))\/(2\/(-1324)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133 + 138. Suppose -p = k*p - 30. Solve 0 = a + p*q + 18, a + 3*q - 6 = -16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*q + 18 - 64, 2*t = 10. Let h(v) = v**3 + 11*v**2 - 28*v - 14. Let g be h(q). Calculate the greatest common factor of g and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*o + 23 = -3*n, -3*n - 2*o + 28 = 0. Let u(q) = -1 + 9*q - q**2 + n + 20 - 7. List the prime factors of u(10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 0.4, 5, 299\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 7 = 2*k, -13 = -5*a - 2*k + 10. Solve -j - p - 9 = -6*j, -2*p = 5*j + a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 12 = -3. Suppose 0 = z - 6*m + 2*m - 5, a*m = 0. Calculate the remainder when 18 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/14 and -55\/912.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3295628*u**2 + 9264840?\nAnswer: 6591256*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -959*h**2*x - 13*h**2 - 8*h*x + 8*h + 2*x + 63 wrt h.\nAnswer: -1918*x - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1018, 4 in ascending order.\nAnswer: -1018, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n + 5344*n**4 - 52*n**2 - 6*n - 4677*n**4 wrt n.\nAnswer: 16008*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4205 and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 490, 476, 462, 448, 434?\n\"Answer: -14*p + 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -280\/13 + 866\/39. What is the fifth biggest value in -1, 0.4, -4, 6, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, -5, -51, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from tjtjetttetlttlltj?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*c - 76 + 3, 0 = -3*c + k + 41. Solve -24*i - 8 = -c*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.18, -149\/5, 0.2, 1, -2\/17 in decreasing order.\nAnswer: 1, 0.2, -2\/17, -0.18, -149\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 11 + 70*s**2 - 72*s**2)*(2 + 0 - 1).\nAnswer: -2*s**2 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9906*a - 288 = -9912*a. Solve 19*g + 10 - a = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s**3 + 3*s**2 - 15*s + 7. Let u(q) = -9*q**3 - 5*q**2 + 29*q - 13. Determine 6*u(m) + 11*v(m).\nAnswer: m**3 + 3*m**2 + 9*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**6\/5 - 2*s**2 - 2*s. Differentiate p(r) with respect to r.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 57155\nAnswer: 17146.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36308 and 136155?\nAnswer: 544620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2. Let r(l) = -29*l - 4*l - 95*l + 8*l. Give r(z(k)).\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/1067, -1\/2, -405?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12f469 + 1?\nAnswer: 12f46a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o - 6. Let c = 12 - 8. Let t be d(c). Solve -z - 4*h - 9 = -4*z, 0 = -t*h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 496*a**2 + 38 - 398*a**2.\nAnswer: 98*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = c - 4*w, -c = w + 4*w - 20. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, s: 3}. Give prob of sequence zs.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (312\/64 - 5) + (1030393\/(-104))\/91\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 33808055.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 946, -4, 1, 2, -83, -3 in descending order.\nAnswer: 946, 2, 1, -3, -4, -6, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 740.249ml in litres?\nAnswer: 0.740249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 272 - 814\/3. What is the closest to 0.12 in 1\/9, r, -2, -3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8663398 is divided by 112511.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 12286442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1074 - 1079 + 2*k + 2165.\nAnswer: 2*k + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29431.\nAnswer: 19, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -256905023570.\nAnswer: -256905023570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 96 - 4. Calculate the remainder when (-12)\/f + 148\/20 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 vv when two letters picked without replacement from {y: 8, v: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 149, 173, 163, 107, -7, -191, -457?\nAnswer: -817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0065030622 rounded to six dps?\nAnswer: 0.006503","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 3, 9, 5 in decreasing order.\nAnswer: 9, 5, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 24 + 32 = 0. Calculate the remainder when 25 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-42)\/(-140) - (-41820105)\/150 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 0*t + 0*t**3 + 0*t**6 + 0*t**5 + 1\/6*t**4 + 2\/105*t**7 - 2*t**2 + 0. What is the second derivative of u(z) wrt z?\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -106307609?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -622042 = -3*k + 2*o, 2*o + 1296400 - 259662 = 5*k. Let d be k\/30*3\/108. Let y = d - 963\/5. Find the common denominator of y and 179\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3539 - 6915. List the prime factors of (1\/(-2))\/(8\/g).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**7\/21 - o**4\/3 + 3*o - 2. Let u(m) be the first derivative of y(m). What is the third derivative of u(b) wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (-4)\/8)*-12. Let s be (-1 + 132\/x)*1. Is s less than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 787 is divided by 262.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9700 = 15*z + 2125. What is the greatest common divisor of z and 303?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.3660302 weeks?\nAnswer: 221375.06496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -127*i**3 - 2*i + 106. Let b(v) = -127*v**3 - 3*v + 106. Let t(k) = 2*b(k) - 3*j(k). What is the first derivative of t(h) wrt h?\nAnswer: 381*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -263962200 to the nearest one hundred thousand.\nAnswer: -264000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 300?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.12 + -5.12. Let u = r - -5.000002. Round u to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-87)\/(-21))\/(-6*7\/(-294)). Which is bigger: 1\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 9*o**2 - 11*o - 1. Let a be h(-6). Let u = 17 - a. Let f be 6\/((8\/(-10))\/(-2)). Calculate the highest common divisor of u and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 20. Suppose i = 4*f - 5*f. Let d = 495 - 5441\/11. Is f at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-264)\/36)\/(-11)*15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v - 15. Let k be d(-6). Is k\/(-9)*(-1 + -1116) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 976 and 24.\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 - -174. Let s = a + -231. What is the greatest common divisor of s and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmz when three letters picked without replacement from zzxmz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31391 - -39768. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1733 and 1.19?\nAnswer: 1731.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*p = -10064, 0 = -2*w - 5*p + 4181 + 863. List the prime factors of w.\nAnswer: 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*i = -91*i + 49 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 14) + (1 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 5*z - 10*z + 18, 4*m - 3*z = -16 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259996 is divided by 31122.\nAnswer: 11020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*l - 10, 4 = -4*l - 0. Suppose -3*d = -3*n + 12, -d + 3*n = 4*d + s. Find the second derivative of d*w + 0*w + 4*w**3 - 5*w - w**3 wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 3 - (-1542 - 1). Suppose -118 = s - g - 513, 4*s - l = -5*g. Suppose s = 3*w + 124. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (59\/(-21) + (34 - 31))\/((-8)\/(-12))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-2)\/(-4) - (-114)\/4 - 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l*t**2 + 36*l*t - l + 3*t**3 + 338 with respect to t.\nAnswer: 8*l*t + 36*l + 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 85*v - 3 = -76*v, 0 = -2*d - 3*d - 3*v - 31 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*w - 20*w = -791 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1 + 16*d**2 - 4*d - 25*d**2 + 7*d**2 - 1. Suppose -4*z + 16 = 2*w, -15 = 5*w - 2*z + z. Calculate b(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l + 5. Let c(t) = t**2 + 4*t - 2. Let m be c(1). Let j(i) = m + 7*i - i + i + 3. Let x = 5 + 1. What is x*w(h) - 5*j(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*h**3 + 34*h**3 - 28*h**3)*(19 - 26 + 14 + h) as w*h**2 + t*h + m*h**4 + k*h**3 + q and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18360 and 17147016.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2376 + -3808. Let u = y - -1433.751. Let p = u + -0.041. Round p to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -366 + 380. Let c be 1\/(1*(-3)\/30). Let v = o + c. Solve v*x + 4 = 5*n - 4, 4*n - 13 = x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*j - 10 + 20, -4*q + j = 15. Let u = -5 + 5. Which is the fourth biggest value? (a) 1\/2 (b) 4 (c) q (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 12) in base 9?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jchj when four letters picked without replacement from {c: 1, h: 1, y: 3, j: 5}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2490, 2390, 2290?\n\"Answer: -100*g + 2590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3232)\/1010 - 2\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 7:17 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + g**2. Let q(h) = -2*h**3 + 7*h**2 + h + 3. Let b(v) = -3*d(v) + q(v). Let j(k) = 10*k**2 + 61*k + 2. Let x be j(-6). Determine b(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3*t + 426, -k + 122 = -3*t + 26. Suppose -81*h - 36 = -k*h. Solve y = h*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49893591?\nAnswer: 3, 11, 1511927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 13*y - y + 17*v - 68, y + 38*v - 41*v = 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1934, -22, -2, 242, 4 in decreasing order.\nAnswer: 1934, 242, 4, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.98 rounded to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-142)\/80 - (195\/468)\/((-175)\/(-21))?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(15\/18))\/((-19)\/(-570)). Let g be (6 - 1 - 2)*3. What is the greatest common divisor of b and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 6*b**2 + 5*b + 2. Let f be r(5). Suppose -f*s = -5*s - 9, -2*v - 5*s = -15. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33042 - 18794. What is the highest common divisor of s and 822?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 16, 5*f = -4*g + 3*g - 15. Suppose 0 = -2*m + 15 - 3. What is the lowest common multiple of m and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -85 - 67. Suppose -2*o + 156 = -o - 4*d, 0 = -o - d + 151. What is the highest common divisor of o and b?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w. Let z be a(5). Solve -5*v - z = 2*f, 3*v - 2*f + 0 = 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -400 + 624. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1299864471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x + 188. Let m(o) = 8*o - 216. Let v(b) = 6*m(b) + 7*n(b). Let d(i) = 9*i - 5. Let j be d(2). Give v(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -5341196172557?\nAnswer: 5341196172562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 10:24 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 3*d - 3 = 0, -4*z + 2*d - 2 = -7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47136 (base 8) to base 6.\nAnswer: -232514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9124 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158 + 161. What is the smallest value in 4\/3, 1\/4, d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2635 - 2691.208. Let x = r - -0.608. What is x rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 114 = -w + 2*w, 93 = 3*q + 3*w. Suppose -50*r - 274 - 234 = -1758. Solve -24*u - r = -q*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 b when three letters picked without replacement from {b: 3, t: 3, a: 12, z: 2}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 309591673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 - -48. What is the closest to 1 in 5, i, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 16) to base 11\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 1:43 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 32874, 0.4, -138, 3?\nAnswer: 32874","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 829684 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**3 - 7*y**2 - 11*y + 11. Let v be h(5). Suppose 5*b + 208 = 4*t, -5*t - b - 117 = -v. What is the lowest common multiple of 66 and t?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565676 a multiple of 412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 + (-2)\/(-2)*2. Calculate the common denominator of (-107)\/30 + 2\/r and 422\/96 - (-12)\/(-36).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 18.9. Let n = m + -1.9. Let v = -2.0005 - n. Round v to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-82)*(6 + 240\/(-45)). What is the nearest to -1\/4 in 0.4, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6940.5 + 6941. Let o be 26\/42 - 2\/6. Sort -8, o, b in decreasing order.\nAnswer: b, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4880*s = 4896*s - 69504. What are the prime factors of s?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10921*z**2 + 22352*z**2 + 8*z - 11459*z**2.\nAnswer: -28*z**2 + 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 88933.24km in nanometers?\nAnswer: 88933240000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/2)\/(-3 - (-5)\/2). What is the third derivative of -4084*k + 4084*k - 48*k**b + 31*k**5 wrt k?\nAnswer: 1860*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64628.11mg in tonnes?\nAnswer: 0.00006462811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h + 4. Let p be (12\/8)\/((-6)\/(-64)*-4). Let g(u) = 6*u + 8. Determine p*g(l) + 7*k(l).\nAnswer: -3*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004392431 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + v**2 - 3. Let m be z(0). Let a = 0 - m. Suppose h - 2*h = -a. Solve 5*b + 15 = 0, 0 = 3*n + h*b - 1 + 19 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 + 0.8. Let h = 10.2 - 10. Put h, y, -3\/5 in increasing order.\nAnswer: -3\/5, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, w: 19}. Give prob of picking 4 w.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 65*s - 22. Let x(g) = 179*g - 65. Calculate -17*m(o) + 6*x(o).\nAnswer: -31*o - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/(sqrt(5) - sqrt(5)*1*-5) - sqrt(8)\/(sqrt(576) - (sqrt(576) - (sqrt(576)*2 + sqrt(576) + sqrt(576)) - sqrt(576)))) + 1)**2*-2.\nAnswer: -209\/100 - 3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 0)\/(18\/12). Let w(p) = 2*p**n + p**2 - p**2 - 4*p**2. Let k(y) be the second derivative of -17*y**4\/12 - 47*y. Give k(w(b)).\nAnswer: -68*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 4:13 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2510*z**2 + 5605741*z - 5605741*z as u + v*z**2 + t*z and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, -28060, -0.3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 2:34 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b = -9*b - 21000000. Let j be (b\/(-9))\/(6\/(-99)). What is j rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5232\/(-2289))\/(9\/(-126))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12*14*1\/(-6). Suppose m = -6*m + u. Suppose m*z - 2*z - 370 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -1. Let f = t - 11. Does 20 divide (-9)\/f*(-82)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 4, -17930, 27 in ascending order.\nAnswer: -17930, -4, 0, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 3, u: 1}. What is prob of picking 2 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -4, 0, 26, -3 in descending order.\nAnswer: 26, 0, -3, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/16 or 0?\nAnswer: 21\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30*(-56)\/1260*(-189)\/12\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 3*p = -26, v = -5*p - 28 + 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -6. Suppose 4*k + m - 19 = 0. Suppose -5*d - k*j + 8592 = 0, -6070 - 812 = -4*d + j. Round d to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 35504, -2 in decreasing order.\nAnswer: 35504, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1569540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5954 + 5926.683. Let r = -203.083 + 203. Let u = r + a. Round u to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 7*d + 7. Let l be b(6). Solve -3*j + 0*j = -3*c - 15, -j + l = -3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 10906 = 13666. Calculate the highest common factor of 410 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 112 + -159. Let b = 52 + a. Solve y + 5*g - 17 = -0*g, 5*y = b*g - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/(-121) - (-1)\/(-11) - (3 + -12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a3 - 7?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - y + 65 + 27 = 0, -3*y - 84 = -5*f. Let o be (-3)\/(-9) + (-24)\/f - -1. Let g(u) = u - 5. Determine g(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -13)\/(19 + -17). Let x be 10 - (3 - (0 + 1)). Sort x, n, 4 in increasing order.\nAnswer: n, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/15 of a day?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**2 - 290*w + 4205. Let d(n) = -5*n**2 + 290*n - 4205. Let o(x) = 5*d(x) + 4*p(x). Let o(q) = 0. What is q?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -5*q + 65, -2*c - 3*q + 41985 = 41974 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 13. Let i be z(-7). Let a = i + 10. Suppose -a*q + 0*q + 5*l + 121 = 0, -q = -l - 31. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-150))\/((-358)\/1074)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -2469947?\nAnswer: -9879788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4 + 23 = 0. Let k(x) = x**2 + x - 2. Let p be k(2). Suppose -2*t + p = -0*t, -q - 3*t + 31 = 0. What is the remainder when q is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -623254, -623247, -623246, -623251, -623262?\n\"Answer: -3*z**2 + 16*z - 623267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1058718 divided by 1406\nAnswer: -753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p + 812 + 2653 = 0. Let a be (-10)\/(-8)*(-396)\/p. Solve 0*z + 0*z**2 + 2\/15*z**4 + 0 - 2\/15*z**a = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2792, 2785, 2778, 2771, 2764, 2757?\n\"Answer: -7*f + 2799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 133794189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 301, 314, 327, 340, 353?\n\"Answer: 13*k + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + d + 3*d - 2*d + 3*d - 2*d - 4*d + 6*d + 0*d + (3 - d - 3)*(-1 + 0 + 0) + 13 - d - 13 - 4*d + 9*d - 11*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(6) - (sqrt(6) + (-1*sqrt(42))\/sqrt(7))))\/((sqrt(18) + (sqrt(72)*2 - sqrt(72)))\/sqrt(9)) + 3.\nAnswer: sqrt(5)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 + 897*h**2 + 59811*h - 60705.\nAnswer: -3*(h - 355)*(h - 1)*(h + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (-1862)\/126 - -43?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 819423211 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7799 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 65 = -x. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -15 + 501\/33 - (-800)\/(-5126). Let r = l - -902\/1165. Factor 2\/5 + 6\/5*s + r*s**2.\nAnswer: 2*(s + 1)*(2*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a year in months?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326621 is divided by 3509.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/((-14)\/84).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224) + (1*sqrt(224) - sqrt(224)))*6)\/(-2*sqrt(343)*5 + sqrt(343)).\nAnswer: -8*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -18. Let w(l) = -3*l**3 - 6*l**2 + 32*l - 29. Let a(y) = y**3 + 2*y**2 - 11*y + 10. Let s(v) = x*w(v) - 17*a(v). Is s(3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 8*u - 6. Let d(h) = -h + 3. Calculate 5*d(x) + q(x).\nAnswer: x**2 + 3*x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 + -21. Let x = m - 63. What is the closest to -1 in x, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-444)\/(-120))\/(2\/(-12))*290\/(-87)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10737, 21479, 32223, 42969, 53717, 64467?\nAnswer: 75219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 p when four letters picked without replacement from xppxpuxpp.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*t**2 - 356*t**2 + 1054*t**2 - 347*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-1\/10)*h)\/h)\/h)\/(h*h\/(h*h**(-2\/7)))*h**(-3)*h*h\/(h\/h**(-3))*h)**(-1\/6) assuming h is positive.\nAnswer: h**(149\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 2. Let k(x) = -x + 7. Let j be k(h). Let l be (-1 + j)\/((-18)\/63). Is -6 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a second in microseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31348 divided by 625\nAnswer: -31348\/625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -1.1 in ascending order.\nAnswer: -5, -1.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 118575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 4\/3, 1\/2121, 8, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, 4543, 0, 0.3, 10.29 in descending order.\nAnswer: 4543, 10.29, 6\/7, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21010023 - 10?\nAnswer: -21010033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 561656128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -435 - -462. Let w be 87\/(-116)*(-24)\/d. Which is the nearest to 2? (a) w (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.312 + -1.688. Let a = -32\/23 + 132\/161. What is the closest to w in -3, 1\/2, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60*k*u**3 - 2*k*u**2 + u**3 - 4213*u wrt k.\nAnswer: 60*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -c - 37, -c - 2*h + h = 28. Let j be (0 + 1 - c)*2\/4. Find the first derivative of -18 - j + 42*z**3 + 26 wrt z.\nAnswer: 126*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.3 - 3. Let y = 0.22 - -0.078. Let g = y - k. What is g rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, -3.0663, -0.06, -1, -0.09, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, d: 1, c: 2, e: 8, n: 1, v: 2}. Give prob of picking 1 n, 2 e, and 1 v.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-three quarters of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**3\/7 - 15668*k**2\/7 - 298654*k\/7 + 1884720\/7 = 0.\nAnswer: -24, 5, 7853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -970*w + 25. Let r be i(-8). Let o = r - 396961\/51. Find the common denominator of o and 32\/15.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 18*a + 91. Let u be h(18). Suppose -95*b + u = -82*b. Solve 9 = -g + 4*j, -3*g - j = 7 + b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*(-1)\/4)\/((-5)\/((-11070)\/(-81)))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -151, -300, -449, -598, -747, -896?\n\"Answer: -149*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(5) + 2 + (sqrt(405) + -2 - sqrt(405)).\nAnswer: sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 5*j + j)*(2*j**2 - 4*j + 4*j + 6).\nAnswer: -4*j**3 - 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*(0 + (-1023)\/12). Suppose 0 = -p - 3*s + c + 393, -2*p - 2*s + 2150 = 0. Suppose 0 = -6*x + x + p. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43900000 to the nearest one million.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4. Suppose t + 5*s - 13 = 0, u = -4*t + s + 4*s + 27. Suppose -5*o = -o - t. Solve 0*v + 4*v + 16 = 0, -o*f = 2*v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69133579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-18))\/(1\/96). Let x = -32 + t. Suppose 5*i + 22 = 182. What is the greatest common divisor of i and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*t + 10, -4*t + 4 = -4*n - 0*t. Suppose -5*q + 89 = 3*k, 47 = 4*q + n*k - 23. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(1700)*-2)**2 + 5 - (sqrt(1700) - (-3*(0 + sqrt(1700)))**2))*2 - (5 + sqrt(1700) + 1 - -6*(sqrt(1700) + sqrt(1700) + 1 + sqrt(1700)))**2*4).\nAnswer: 73040*sqrt(17) + 9644664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 5*a**4 + 470*a**3 - 69855*a**2 + 403780*a - 334400 = 0.\nAnswer: -176, 1, 5, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -3*r**4\/4 + 3*r**3 + 3*r**2\/2 - 9*r + 2. Find l, given that t(l) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 22*w - 7. Let j(g) = -66*g + 20. Let t be 0 + -1*(25 - 21). Give t*j(h) - 11*i(h).\nAnswer: 22*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115 - 69 - 71 - (1 - 67).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 6. Let i be m\/7 - (-10)\/14. What are the prime factors of 1\/(i + 21\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 45 = -17. Let y = 11 - g. Solve p - 3*a = 13, -y*p - 5 = a + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 87103.18nm?\nAnswer: 0.008710318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -7. Let j be 0\/(-1 + 2 + 0). Let s be j\/(u - -2)*1. What is the closest to -2\/7 in -2, s, -13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1525 divided by -34.\nAnswer: -1525\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -998, -1000, -1002?\n\"Answer: -2*p - 996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36 or -6012?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4296 divided by -2\nAnswer: -2148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (225\/2400)\/(1\/(-4))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -615*c**3 + 3*c**2 + c - 10. What is the tens digit of r(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 8736\/517?\nAnswer: 8736\/517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -59743 divided by 59743\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.567 + 18589.9\nAnswer: 18591.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1088 + 109?\nAnswer: -979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 169\/12 - 55\/4. What is the closest to 0.2 in 1, 0.054, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 + 1 + 103*m**3 - m**2 + 8621*m**4 + 2*m - 8623*m**4 in the form u*m**2 + g*m**4 + c + d*m**3 + k*m and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -267\/4370 - -4\/115. Let b = 176 - 176. Suppose -8*o + 5*o + f = 8, 2*f - 10 = b. Is o greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.39 + -138.39. Let i = 133 + w. Which is the closest to -1? (a) -15 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1429*g**3 - 66*g - 6*g**5 - 889*g + 1332*g**3 + 5*g**5 wrt g.\nAnswer: -20*g**3 - 582*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**3 + 166193*t**2 - 1223295*t?\nAnswer: -6*t + 332386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -116, -479, -1078, -1907, -2960?\n\"Answer: j**3 - 124*j**2 + 2*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*255\/68?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b + 4. Suppose 5 = 3*s + 2. Let z be s - 3 - (-2 + -4 + 1). Let g(p) = -p**2 - 4*p - 5. What is z*c(m) + 2*g(m)?\nAnswer: -2*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-60)*-5)\/(58\/3248*133).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 17*p**2 + 44*p - 98. Give b(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {y: 2, g: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/650 and (-315)\/189 + 1966\/1170.\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*b - b**2 + 0*b**2 - 14*b + (b + b - 3*b)*(-5*b + 0*b + 4*b) + 6*b**2 + 11*b - 11*b.\nAnswer: 6*b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*b - 9 + 26 - 17.\nAnswer: -147*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 k, and 1 s when three letters picked without replacement from {f: 2, k: 2, s: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(11 - -3) - (-96)\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 8. Suppose -m*w + 196 = 5*j, 5*j + w + 0*w = 199. Calculate the highest common factor of 16 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001598575 rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.580543kg to tonnes.\nAnswer: 0.006580543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 102*n**2 + 206*n + 184. What is h(104)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from obogooooobjgrro?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 39*r + 172. Let t be x(4). Solve t = -3*i + w + 3 - 1, 3*w = -2*i - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 1. Let o(y) be the second derivative of y**4\/2 + 4*y**3\/3 - 4*y**2 + 5*y + 7. Calculate -o(c) - 8*u(c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + l - 1. Let d(v) be the first derivative of 5*v**3\/3 + 2*v**2 - 14*v - 8. Let c(r) = d(r) - 4*f(r). Differentiate c(p) wrt p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 862, 6939, 23476, 55717, 108906, 188287, 299104, 446601?\n\"Answer: 874*t**3 - 14*t**2 + t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.1014 kilograms in milligrams?\nAnswer: 106101400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, d: 3, h: 1, z: 2}. Give prob of picking 2 z and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 479 divide 19352024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -460 by 4.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/5)\/(3\/180). Suppose n = 3*g + g. What is the units digit of (-1)\/(2\/(-4)) + g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 5*d**2 + 8*d - 7. Let j be m(6). Let k be (3 - 4)\/((-1)\/j). Suppose k*n - 418 = 4*a, 0*n + 5*a + 92 = n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 43, 66, 109, 178?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1666\/21 + 8\/12. What is the remainder when k + 15\/3 + -6 + -2 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 714860?\nAnswer: 2, 5, 31, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m*q**3 + 3*m - 224*q**3 - 32*q wrt q?\nAnswer: -6*m*q - 1344*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26603 + 204?\nAnswer: 27007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-361)\/532*-21)\/((-3)\/12). Which is smaller: w or -289\/5?\nAnswer: -289\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401520 is divided by 873.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.32346 rounded to two dps?\nAnswer: -14.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 5*t**4\/24 - t**3\/6 - t**2. Suppose 0 = -5*w + 4 + 11. Let l be 1*w\/9*3. Determine s(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j - 4*j = 0. Suppose j = -11*x + 13*x - 396. What are the prime factors of x?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8102967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 12*t**2 + 268*t - 1048. What is g(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 5*s**2 - 2*s + 7. Let c be q(5). Sort 1, -5, c.\nAnswer: -5, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -10\/7, -2 in ascending order.\nAnswer: -2, -10\/7, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22964 - -22962. Let p = 3 + 22. Which is the fourth biggest value? (a) l (b) -3 (c) 1 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.493 - -4.337. Let r = h - 0.83. Let j = -3.998 + r. Round j to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0216*-2194\nAnswer: -47.3904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**4 - 11800955*y**3 - y**2 + 15228*y + 400.\nAnswer: -12*y**2 - 70805730*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 11:51 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4929*w + 4929*w + 4*w**3 - 2*w**4 + 4*w**5 + (0*w + w - 2*w)*(-4*w**3 - 5*w + 5*w)*(6*w + 14*w + 5*w).\nAnswer: 104*w**5 - 2*w**4 + 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-108)*(-1350)\/375\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*x + 29*x - 224 + 22*x + 30*x - 156.\nAnswer: -2*x - 380","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -31*y**3 - 6192624*y**2 + 11985844*y + 799056 = 0.\nAnswer: -199764, -2\/31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1921*h**2. Let u(a) = -a**2. Calculate u(g(f)).\nAnswer: -3690241*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -491 - -491.4. What is the third smallest value in 0.3, w, -1, 0.27?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:46 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -281948189598?\nAnswer: 281948189598.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(12 - -3)\/(-5). Is (10 - (q - -8))*2521\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 8:16 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 0.22461810945999?\nAnswer: -0.42461810945999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h*i*m + 7510*h*i + h*m + i*m - 4*m - 617 with respect to i.\nAnswer: -2*h*m + 7510*h + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 64 = -4*d + 5*r, -4*r + 10 = -7*d + 24 + 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 - -20. Let l = y - -23. Sort l, -0.04, -1\/7 in descending order.\nAnswer: l, -0.04, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 - 30*a**2 - 178*a - 3438. Give n(-16).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**7\/126 + p**6\/18 - 3*p**5\/20 + 7*p**4\/36 - p**3\/9 + p - 2. Let u(q) be the first derivative of x(q). Factor u(g).\nAnswer: -g*(g - 2)*(g - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2 - 70291*n - 140578 = 0. Calculate n.\nAnswer: -70289, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 10:04 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15360 and -165.\nAnswer: -15525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 - (-156)\/(-24))*8\/3. Solve -9*j + a*j - 4*b - 22 = 0, -5*j - 25 = 5*b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.7 + -4. Let r = 223 - 213.96. Let d = r + -0.04. Which is the biggest value? (a) n (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**4 - 16*m**2 - 146 wrt m?\nAnswer: -8*m**3 - 32*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 780756133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 - 3) + 8 - 8. Solve -2*n = -11 + g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 155*m**5 - 7890*m**4 + 6365*m**3 + 32310*m**2 - 27940*m - 3000 = 0.\nAnswer: -2, -3\/31, 1, 2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694640?\nAnswer: 2, 5, 19, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -502725, -502724, -502725, -502728, -502733, -502740?\nAnswer: -502749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * 0.076877.\nAnswer: 1.153155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 9:22 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3893177, 3893176, 3893175?\nAnswer: 3893174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*n - 1 = 1, n = 2*s - 13. Solve -z + 5*x - 1 - s = 0, -5*z - 23 = -3*x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/57 and -37\/105.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 12*m**2 + 13*m + 2. Let x be j(13). Suppose -q + x = -u - 5*q, 0 = 4*u + q - 37. Let f be ((-26)\/(-6))\/(u\/(-30)). Is f smaller than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4575 - 4540. Solve -56*y - 91 + d = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 5:19 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*z + y, -6*z + 4*z + 5*y + 1 = 0. Let p be -1 + (-14 + -2 - z). What is the hundreds digit of ((-122)\/6 - -1)\/2*p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 129 + 1*(-1)\/(-1). Suppose -4*g + 22 = -x. Suppose -z = -g + 10. What is the greatest common divisor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 - -96. Suppose 30 - 5 = 5*c. Suppose c*m - 15 = -0*m. Solve -q + 18 = 5*v, j*q - m = -3*v + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 28 - 0. Suppose 5*s = 0, 0 = n + m*s - 3*s - 22. Calculate the smallest common multiple of n and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -287688783, -287688782, -287688781, -287688780?\nAnswer: -287688779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 8:00 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -4222a4?\nAnswer: 4222a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -16 - (684 + -697) - (-2 - -70)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - 1*(sqrt(1331) + 2))**2 + sqrt(1331) + (sqrt(110)\/(sqrt(100)\/sqrt(10))*-5)**2.\nAnswer: 11*sqrt(11) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -33. Let k = 63 + s. Let y(a) = 50 - k + a. Let c(b) = 14*b. Calculate y(c(m)).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*k**3 - 425*k**2 - 335*k + 110.\nAnswer: 5*(k - 22)*(k + 1)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 5*m**2 + 20*m - 3. Give x(-5).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3872 a multiple of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**4\/4 - g**3 + 5*g**2\/2 + 6*g - 13. Let i be j(-4). Suppose -368 = i*k - 10*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722710137.\nAnswer: 3, 17, 127, 111581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*y - 38 = 49*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + 43. Suppose 0 = -3*v + 3*u + c, -5*v = -3*v + u - 54. Suppose h + 0*h = 0. Solve h*n = -5*n + v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 28, 57, 96, 145, 204, 273?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19086362, 19086363, 19086366, 19086371?\n\"Answer: y**2 - 2*y + 19086363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -117\/3638837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308, -1019, -2164, -3743, -5756?\nAnswer: -8203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ornnfvorvrvxorxrvor. What is prob of picking 1 x, 2 o, and 1 f?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*m + m - 35, 4*m + 2*t - 20 = 0. Let s = 19 - m. Let z = s + -3. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2) + sqrt(2) + -1 + sqrt(2) + sqrt(80)\/sqrt(10) - ((-5 + sqrt(2) + sqrt(2) + 2 + sqrt(2))*-5 + 0))**2.\nAnswer: -560*sqrt(2) + 996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = -100*l + 356 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h. Let c(i) be the first derivative of 5*i**2 - i + 325. Determine c(q(s)).\nAnswer: 20*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2723 - -16465\/6. Calculate the common denominator of s and 105\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -205381*j + 3696867. Determine d(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-16)\/(-12)*2*18 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-126)\/(-24)*66\/693. Factor 3\/2 - 5\/2*g**4 + 7\/2*g - 3*g**3 - l*g**5 + g**2.\nAnswer: -(g - 1)*(g + 1)**3*(g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4282 + -3?\nAnswer: -4285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 2:26 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 2*u + 1. Let w be j(2). Suppose 11*z + w = 14*z. Solve -8*f = -4*f, z*p + 2*f = 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 48 = 11*x. What is the remainder when 2\/x + (-608)\/(-12) + -1 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -21. Suppose 19 + s = 6*a. Suppose -a = -2*h + 16. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.7 + 2. Let c be 64\/24*(-1 - 17\/(-14)). What is the second smallest value in p, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 - 87 = -38*c. Suppose 2*w = -a - 2, -2*a - c*w + 2 = -3*w. Solve -a*u = 4*u + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 220.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 2252516521?\nAnswer: -2252516525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiinnnnn. Give prob of sequence nnn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 222 and 30?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 12:41 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + h + 10. Suppose h = -6*r + r. Let c = 3 - -1. Put -3, c, r in descending order.\nAnswer: c, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 669.77 * -6\nAnswer: -4018.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59125?\nAnswer: 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7092 - -7092. Sort i, 4, -2, -1 in ascending order.\nAnswer: -2, -1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3887157017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*r + 514, 511 = 5*g - r + 4*r. Calculate the remainder when 739 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(1\/15)\/t)**(1\/8))**5)**(-1\/21) assuming t is positive.\nAnswer: t**(1\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 834 - 499. Calculate the highest common factor of 15 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 1, j: 1, f: 1, a: 1}. What is prob of sequence fj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-4)*((18\/4)\/(-3) + (-8435)\/3374)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 23. Let l(f) = -8141 + 24394 - 8124 - 8130 - f. Give l(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1, -5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l**2 - 21*l - 119. Is y(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 + 1.1. Round m to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 5:02 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*b - 129*b = -100 - 108 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10311 - 10308. Put i, -0.1, 0.14, 1, -2 in descending order.\nAnswer: i, 1, 0.14, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22, 51, 102, 175, 270, 387?\n\"Answer: 11*c**2 - 4*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1158 - -2.488.\nAnswer: 2.3722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -271 in -0.3, 21.09, 2\/41, 0.5, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**3 - 4*t + 1. Let j be r(-3). Let w = j - -472\/7. Are -1 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 3*c**3\/2 + 7*c**2\/2 + 696*c. Let x(s) = -4*s. Determine p(x(q)).\nAnswer: -36*q + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1801288 to the nearest integer?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + d - 12*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/3 + -1 - 2. Let k(u) = -2*u**3 + u**2 - 5*u - 2. Let m be k(d). Calculate the highest common divisor of 19 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 26*h**2 - 44*h - 477. Let u be w(-25). Which is the second biggest value? (a) u (b) -5 (c) -3 (d) 89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**47 assuming d is positive.\nAnswer: d**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10040, -10041, -10044, -10049?\n\"Answer: -t**2 + 2*t - 10041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -v + 4*q + 31, 4*q = 3*v - 25. Suppose -v*b = 2*b - 170. Let i = b - 34. Solve -5 = -a - i*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84294 and 896?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 2*t**2 - 2*t + 150. Let u be r(0). Let g be (u\/(-200))\/(1\/(-320)). What is g rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 - 4) + (3 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1 + 6*p - p**3 - 7*p - 4*p**2 - 2*p. List the prime factors of a(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/6)\/(-5)*(-20)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -187194*l**5 + 24*l**2 - 4*l + 68 wrt l?\nAnswer: -11231640*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -154, 125197 in increasing order.\nAnswer: -154, 2, 125197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -94, -700, -2340, -5530, -10786, -18624?\n\"Answer: -86*z**3 - z**2 - z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 p, and 1 a when four letters picked without replacement from {a: 5, p: 4, j: 3}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 16426536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817 is divided by 725?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108236 is divided by 165?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 9396 = 4*q, 7*z - 3*z + 2*q - 18774 = 0. Suppose 3*h = 15*h - z. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 702, 758, 842, 948, 1070, 1202, 1338?\n\"Answer: -i**3 + 20*i**2 + 3*i + 680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9073 = 20*u + 13. Let x = -431 + u. Solve 8*z + x = -2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 5*o**2\/2 + 139*o + 17. Let x be q(-26). Let i(l) = -l + 8. Determine i(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2531*0.187.\nAnswer: 473.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10607.\nAnswer: 10607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3 = 2*y. Is y bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 265468.6 + -265468.56500046. Let o = -9 - -8.965. Let i = o + y. What is i rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -369, -1543, -3521, -6297, -9865, -14219, -19353?\n\"Answer: a**3 - 408*a**2 + 43*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1728572 to the nearest integer?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y + 2*y + 9*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*t - 2. Let r(m) be the first derivative of -5*m**2 - 11*m + 2. Let p(c) be the first derivative of c**2 + 2*c + 3. What is t*r(k) - 11*p(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + sqrt(39)\/sqrt(3) + -2) - sqrt(13)) + (-1*sqrt(52)\/sqrt(4))**2 - ((3*sqrt(104))\/sqrt(2))**2.\nAnswer: -453 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t - 12. Let x be z(7). Suppose -3 = -x*d - 1. Let p(b) = 3*b**3 - b**2 + 2*b - 1. What is p(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69119726 is divided by 123.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.634906 nanograms to tonnes.\nAnswer: 0.000000000000000634906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + r = 4 - 5, 3*t = 3*r + 27. Suppose y + 2 = -t. Let k(o) = -o**3 - o**2 - o + 5. Is k(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 1. Let o(l) = 4 - l**w - 4. Let v(t) = 6*t + 4*t - 13*t. Give o(v(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (184\/(-322))\/(((-48)\/(-14))\/4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.47000832 - 4.47. Round x to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 1836 + 4956 = 0. Suppose x - 3*x + l = -3*k, 4*x - k - 1570 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -2*r + 1, 58*y - 5*r = 53*y + 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 7*x**2 + 17*x + 7. Determine l(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 6*r - 7*r - 3*r)*(-1 + 1 + 1).\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-16)\/10)*(-14)\/(-252)*-8.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.56604 - 5.43334. Let x = -22 - t. Round x to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2352)\/35)\/(-16))\/((-22)\/(-110))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126250 - 227320 - 242562 = 5286*g - 31758 for g.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84*(-106)\/222600*-105.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 12:37 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -8 - ((-22 - -8) + -51 + 13).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*t**2 - 28498*t - 30081*t + 58579*t.\nAnswer: -94*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.11 (b) 162 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.845 times 14?\nAnswer: 11.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*l - 10, -5*l + 6 = 3*x + 20. Suppose 3*c + 10 + 26 = -x*g, 0 = -2*c - 2*g - 24. What is the common denominator of -101\/2 and (3\/c)\/(6\/(-104))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvxxvzxx. Give prob of picking 1 x and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**2 + 110*v + 122*v - 232*v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4)*-2)\/(-9)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -1)\/((-7)\/(-119)). Suppose n*g - 22*g + 2720 = 0. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/15 of a week?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i + 10. Let p be d(8). Suppose 0 = -5*v + x - p, -37 = 4*v - 3*x - 1. Let b = 30 + v. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13908, -23616, -33338, -43080, -52848, -62648, -72486, -82368?\nAnswer: -92300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/2*(-1988)\/(-245021)*(-174)\/(-12).\nAnswer: -22\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2508075362 to the nearest integer?\nAnswer: 1359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*j**2 - 294*j**2 - 132*j**2 - 142*j**2 to the form k*j + g*j**2 + q and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1. Let o(s) = -4*s**3 - s**2. Let b be o(-2). Let m(t) = b*t + 28*t + 6 - 57*t. Calculate -10*f(d) + 2*m(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 13878108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 738 and 606.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 5. Let n be w(-11). Let r be -6 + (n - -14) + 2\/2. Let d(o) = 4*o + 3. Let i(g) = -11*g - 9. Give r*i(x) + 8*d(x).\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1775)\/(-3124) - ((-112)\/231*-12 - 6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 - 2.93. Let u be ((-2)\/(-3) - 1)\/((-3)\/36). Let i = -3 + u. What is the nearest to j in 1\/9, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, i: 2, q: 4, u: 1}. Give prob of picking 3 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53.8 - -52.5. Is k bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13003?\nAnswer: 13003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -5. Solve m = -4*d - 3*c - 11, c = -4*d - 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.8, -1\/10, -1\/6 in ascending order.\nAnswer: -1\/6, -1\/10, 1\/3, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 108, 218, 328, 438, 548?\n\"Answer: 110*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 4:24 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h - 17. Let c(l) = 10*l - 30. What is 4*c(n) - 7*p(n)?\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 y when three letters picked without replacement from ityohyyy.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.6 + -17. Let a = -0.60026 + r. Round a to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 8, -32.455, 3, -4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -525865 + 1086206. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/2 + 334413*f + 668823\/2.\nAnswer: 3*(f + 1)*(f + 222941)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -176371800 to the nearest one million.\nAnswer: -176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1158c5 - -3?\nAnswer: -1158c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.253 + 15\nAnswer: 15.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169804 is divided by 8934.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 + -4344?\nAnswer: -10013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*m = 2 - 324, -5*z + 3*m = 397. Put -1, -2, 4, z in ascending order.\nAnswer: z, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 - -0.45. Let j = 17 - 15. Let k be ((48\/(-40))\/j)\/((-18)\/4). What is the nearest to -0.3 in 0.3, k, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 104 - 88 = 0. Suppose -z*a + 1850 = 110. Is 29 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/169, -4, 1?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*g = -38, -g - 2*g = -u + 30. Let l be (u\/8)\/(12\/(-128)). Let s = l + 35. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 4*p - 3*p**3 - 4*p**2 + 6*p + p**3 + p to the form y*p**2 + u*p + k*p**3 + s and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/44 - -145\/836. Let o = -50372 + 50374. Which is the fourth smallest value? (a) 0.4 (b) 3 (c) q (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 5*g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -844, -1527, -2210, -2893, -3576?\n\"Answer: -683*c - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - 47) + -19 + 47 + -4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-3 - 3) + 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 - 2?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-270)\/(-1134)*(3\/(-1) + 21\/5). Let p = 3 + -5. What is the second biggest value in 3\/10, 4, s, p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**5 - 47*g**4\/4 - 741*g**3\/2 + 1991*g**2\/4 + 2495*g\/2 + 396 = 0. What is g?\nAnswer: -8, -1, -2\/5, 11\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/34 - -611\/51. What is the common denominator of d and (24\/3)\/(-4) + (-6913)\/(-3534)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175789 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 60 = 36. Suppose -x*r = -81704 + 13984. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 w, and 1 c when three letters picked without replacement from yywhhyycywcww?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 - 4 - 12 + 16 + 32*y.\nAnswer: 6*y**2 + 32*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -140249*g**3 + 97359*g**2.\nAnswer: -841494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/10 (b) 629 (c) -1\/3 (d) 5 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - (-3 + -3 + 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15178.\nAnswer: 2, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -752 + 4304. List the prime factors of n.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 15*c + 30. Suppose 0 = 2*a - 8, -4*u - a - 2*a = -16. Let j(x) = x - 1. Let o(l) = u*y(l) - 5*j(l). What is the first derivative of o(m) wrt m?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -23, -29, -35, -41, -47?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/6003)\/(76\/342)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.20688047 - 0.205438. Round x to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, q: 8, d: 4, e: 4}. Give prob of picking 1 e and 1 q.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -348 + 2428\/7. Suppose 71*c - 96*c + 125 = 0. Let z(u) = -u**2 - 5*u + 7. Let v be z(-6). What is the third smallest value in v, i, c, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 111 - 73. Suppose -2*f - 3*v + 22 = 0, -3*f + i = 2*f - v. Let n = 13 - f. Let t(l) = -l**2 + 3*l + 3. Give t(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-30)\/(-16)))\/((-11)\/(363\/55))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - 5*q + 11. Let c = 53 + 32. What is the remainder when c is divided by n(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**2\/7 + 7603*r\/7 - 17737200\/7 = 0.\nAnswer: -9475, 1872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -21333024 (base 5) to base 16\nAnswer: -2ccda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2. Let v(c) = 8*c**2 - c + 1. Let x = -4 + 5. Let p be -2 - (-3 + 2 + -1). Suppose -a + 7 - x = p. Determine a*o(g) + v(g).\nAnswer: 2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 0, -2, 1\/3, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 69 (b) 7 (c) 0.1 (d) 3\/14 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*j - 47*j + 56*j - 3 as u*j + p and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 + 618*c**3 - 5*c**2 + 15*c**2 + c**2 + 2*c.\nAnswer: 618*c**3 + 4*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/15 + (-438)\/(-10). What is the highest common divisor of l and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -175. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 4*t - 4*h + 29, t - 2*h = -13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 5 - 4. Let z be (-12)\/10*(l + (-152)\/16). Solve 0 = -5*r + 5*k + z, -3*k = 4*r + r + 25 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 972532*l - 236454622756.\nAnswer: -(l - 486266)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2)*10\/(-270)*-3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a factor of 150204868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -687 + 828. What is the third smallest value in t, -0.5, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/8)\/(3\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from {y: 1, u: 6, m: 2, v: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -88, -94, -98, -100, -100, -98?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 - 5*h + 8. Let u be w(7). Suppose 6*l + l - 168 = 0. Calculate the highest common factor of l and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*m**2 + 0 + (1 - m - 1)*(-2*m - 4*m + 4*m) + 3 - 3 - 8*m**2 + 2*m**2 + m**2 + 4*m**2 to the form s*m**2 + h*m + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 13*l - 36. Let t be 54\/l*(-8)\/12. Suppose 0 = -j - 5 + t. Solve 0 = j*h - 13 + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2133 = 863. Let q = -112 - c. List the prime factors of q.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)*-1 + sqrt(80) + sqrt(80))*-4)\/sqrt(4))\/(sqrt(50)\/(6*sqrt(180))).\nAnswer: -144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.86 - 37.86. Let d = x - -35. Let y = 17 - 22. Which is the closest to 0.01? (a) y (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1412707?\nAnswer: 19, 74353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-324)\/729*252\/(-2)*(16\/4)\/(-8)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 8*t**2 + t - 8. Let p be s(2). Suppose -p = 3*i - 2*y, 5*y + 0 = -4*i - 73. What is the tens digit of ((-867)\/i - (-1)\/(-4)) + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + -2 + (sqrt(1539) - (1 + sqrt(1539))) - sqrt(1539)) + -3*(sqrt(1539) + sqrt(1539) + sqrt(1539) + 1))**2.\nAnswer: 972*sqrt(19) + 124695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/84)\/(1284\/(-64414)).\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-7 - (0 + -13)). Suppose 11*v - 10*v - 2*o = 0, 3*v - 20 = -p*o. Solve 3*b - b = v*r - 14, -2*r + 3*b = -9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - x - 1. Suppose 4*n - 12 = n. Let d be t(n). Let z = 2 + -1. Calculate the greatest common factor of d and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from {g: 1, k: 4, b: 1, d: 1, i: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3*n + 234, -2*x + 144 = -0*x + 4*n. What are the prime factors of x?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 8. Suppose -6 = -2*o, 3*j - 4*o = -2*o + 9. Suppose 0 = 4*c - 5*p - 14, 2 + 1 = -j*c - 4*p. Let s be c - -1 - 56\/7. What is w(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 - -74. Suppose d = -10*j + 8*j + 42. What is the greatest common divisor of j and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 13 - 33 = 5*g, 2*g = u - 17. Let p(m) = 5*m + 9. Let y be p(g). Let q = y - -145\/4. What is the nearest to q in 2\/7, 2\/5, 4\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**7\/840 + p**6\/60 + 2*p**3\/3 + 9. Let s(d) be the third derivative of c(d). Let z be s(-6). Solve -a + z*a = 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266407*l**2 + 266402*l**2 - 532714*l**2.\nAnswer: 95*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4821563233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*h = -69, -2*i - 5*h = -3*i - 3. What is the remainder when ((-84)\/(-10))\/((-2)\/(-10)) is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11624 is divided by ((-2)\/4)\/(70\/(-1540))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1361.545 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4419551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 7*d + 115. Let q = -15 + d. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 444 and 18644781?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1 (b) 2\/7 (c) -20 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1501 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57968 is divided by 19148?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (2 + 0 - 2) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -1\/2*j**6 + 0*j**3 + 0*j**5 + 1\/2*j**2 + 0*j**4 + 0*j - 2. Find the second derivative of y(n) wrt n.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2921731 and 1219?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27157 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3168 - 9735 = -422*s + 2717 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/14 and -35\/712.\nAnswer: 4984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/5, 3\/29, 5?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -70*b - 63 - 87 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3)*(-2 + 5). Let m(z) = -z + 0*z + 3*z + 4 - 3. What is the units digit of m(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 859 = -133. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -926, -4, -5, -2\/15, -9\/2 in decreasing order.\nAnswer: -2\/15, -4, -9\/2, -5, -926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-60)*-5)\/((-1)\/(-12)*-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 45. Suppose -g = -0*y + 3*y + 12, -y - 4 = -3*g. Put -2, y, b in descending order.\nAnswer: b, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48916016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 13 - (33 - 17)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 321.89 + -318. Let r = -0.11 - p. Let x = -2.97 + -0.03. Which is the closest to 0.1? (a) r (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1207 = 4*t - 69. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-214*b**2 + 156*b**2 - 232*b**2)*(-5 + 3 + 0).\nAnswer: 580*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 294768 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 420616706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3884*b + 26592 - 86186 = -3166*b for b.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -7*b**5\/20 - 25*b**4\/8 + 6*b**3 - 144*b**2 - 2*b. Solve i(x) = 0.\nAnswer: -4, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d7e (base 15) to base 14.\nAnswer: -4b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -14\/157, 15, -5, 1\/2, -1?\nAnswer: -14\/157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 33 = -5*i, 0 = -28*n + 24*n + 5*i + 39 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -5 - -28 - 22\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -49 * -57\nAnswer: 2793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c + 5 - 6 - 8. Let l(d) = 2*d + 4. Give -9*l(i) - 4*q(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 9*a**2 + 3*a + 3. Let q(g) = -2*g**3 - 11*g**2 - 4*g - 3. Let k(v) = 2*q(v) + 3*y(v). Calculate k(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/(-165) - 2*68\/(-22). Is 1\/12 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 39 - 40 - 2*h**2 - h. Let y(k) = -8*k**2 + 3*k + 1. Give -3*b(g) - y(g).\nAnswer: 11*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.4 + 2. Let p be (-1 - -5) + 20\/(-5). Let d be 4 + p + (-76)\/16. Which is the closest to d? (a) f (b) -3\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535380615?\nAnswer: 3, 5, 7, 11, 22073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1022\/15 + 68. Let h = -10 - -10.2. Sort w, -3, h in ascending order.\nAnswer: -3, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 953120\/(-29008)*14\/(-10).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4624\/48)\/((-170)\/(-90))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 43, -7, 2, -4, 1 in decreasing order.\nAnswer: 43, 35, 2, 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57600 by 4.\nAnswer: -14400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 37*n**3\/3 - 220. Let j(h) = 5*h**2. Determine j(k(o)).\nAnswer: 6845*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3816179, -3816152, -3816125, -3816098, -3816071, -3816044?\nAnswer: -3816017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 23*n**2 + n + 40. What is t(-23)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = 19680*q - 19653*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 12 = b. Suppose b + 5 = 4*v + 5*a, a - 14 = 5*v. Is (v + 10\/3)*15 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/15)\/((-320)\/2040).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**3 + 377646*j**2 + 35653747680*j - 71309005952 = 0.\nAnswer: -188824, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 83710335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20262 - 20262. Which is the closest to -135? (a) p (b) 4 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, j: 4, r: 4, s: 3, q: 1, i: 2}. What is prob of sequence rq?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1786860 divided by 446715\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3466 = -2*c - 5*r - 40, -5*c + 8544 = 2*r. Let w(u) = -c*u + 1708*u - 3*u**2. Let f(i) = 7*i - 2. Calculate f(w(j)).\nAnswer: -21*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/7, 10, 7, -79 in increasing order.\nAnswer: -79, -0.3, 2\/7, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (9520\/(-3) + 0)\/((-107)\/321) a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**4\/12 + 13*d**3\/6 + 2*d**2. Let q be n(-4). Suppose 6*m - m - 50 = 0. Solve q*o = 3*o + m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/253 and -1\/92.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (22 - (-7 - -1))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbybynryrbrrrbyrb. What is prob of sequence ny?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 73 and 1.9362.\nAnswer: 141.3426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -10*g**3 - 5*g**2 - 24*g - 47. Let t be i(-7). Suppose -4*w = 5*z + t - 8313, 5*z - 4*w = 5023. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 - 620187109674 + 620187109674.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + o**2 - o + 127. Let i be p(0). Let t = i + -74. Suppose -303 - t = -4*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q = -28. Let m be -3 + q\/(-4) + 2. Solve -2*p - 3 - 3 = 3*x, 2*p = 2*x - m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 2, -4*x + 11 = -2*k + 17 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001625621148 to 6 decimal places.\nAnswer: -0.001626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102\/(612\/30) - 73.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3 - 1. Suppose n*p - h = p - 2, 0 = 3*p + 4*h - 29. What is the second derivative of 2*q - 5*q + p*q**4 + 0*q**4 wrt q?\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-138*a**2 + 138*a**2 + 6*a**3)*((1 - 1 + a)*(2 + 0 + 0) + 2 - 2 + 2*a)*(2 - 1 - 4) to the form m + h*a**4 + z*a**3 + o*a + u*a**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215364 a multiple of 293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4 + 6*n**3 - 32*n = 0. Calculate n.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53274*l*s - 248*l - 41 wrt s?\nAnswer: -53274*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22016 and 1892.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 132*x - 236*x)*(-5 - 14 + 7).\nAnswer: 1248*x + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10, y: 2, i: 3}. Give prob of picking 1 e and 1 y.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/16 and -61\/9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185852340 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -155970314742730 and 3.\nAnswer: -155970314742727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183418397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 213, 312, 413, 516?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 259 times -0.0401?\nAnswer: -10.3859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 0 + 0*k**2 + k**2 - 8. Suppose -4*y + 15 = -13. Does 24 divide d(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 227918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1703765*y + 1703769*y = 3*b - 37, -y = -29*b + 433 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 152860 - 100923. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1262108418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24953*x - 24458*x + 49409*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**3 + f**2 + 2*f + 4. Let h be t(5). Find the common denominator of -121\/6 and -4 + 2\/7 + (-1206)\/h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(432) + -2 + 4 + 3)**2.\nAnswer: 96*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*q = -0*z, 0 = z + 5*q. Suppose -10*s + 30 = -z*s. Solve 12 + 3 = -s*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 7:49 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27, 50, 85, 132, 191, 262, 345?\n\"Answer: 6*k**2 + 5*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179715 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1862 + 4?\nAnswer: -1859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 88*v + 253. Does 11 divide x(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and -43.\nAnswer: -3.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 489500 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 9*t**2 - 12*t + 9. Let h be s(-8). Let m = -35 + h. Find the third derivative of -u**m - 16*u**2 + 0*u**2 + 23*u**6 wrt u.\nAnswer: 2640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10645704 and 7984278.\nAnswer: 31937112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 45\/4*y**3 + 0 + 5\/4*y**2 + 35\/4*y**5 + 75\/4*y**4 + 0*y = 0.\nAnswer: -1, -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 308.5703 millilitres?\nAnswer: 0.3085703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16287124*f**3 + 1944373*f - 4.\nAnswer: 97722744*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by ((-11)\/11)\/(0 - 2\/22).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 12 = -2*h - 4*r, 0 = -4*h + 2*r - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**3 + q**2 + 2*q + 4. Let f(y) = -5*y**3 + 2*y**2 + 4*y + 7. Suppose 0 = -4*j - 4*t - 28, -4*j - 6 - 22 = -t. Give j*r(d) + 4*f(d).\nAnswer: d**3 + d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -42. Let h = -8.5 - d. What is the third smallest value in h, -2\/17, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -95, -1, -0.1, -47\/7?\nAnswer: -47\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 2*c - 3*c)*(-5*c**4 + c**4 - 2*c**4 + (2*c + c - c)*(0 + 0 - 2*c**3) - 12*c**3 - 28*c**3 + c**4 + 21*c**3).\nAnswer: 54*c**5 + 114*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 a factor of 1611424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1519747938 + 50?\nAnswer: 1519747988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 2 + -8 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g - 2. Let u(m) = -3*m**2 - 4*m - 2. Let j be u(-2). Let w be b(j). Suppose -f - 3*o + w = 0, o - 22 = -4*f - 2*o. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24.00000072 + 24. Round m to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*r - 17, 4*r + 0*r + 2*i = 18. Let q(m) be the third derivative of m**4 + 3*m**3\/2 + 103*m**2. Is q(r) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -4*y**5\/5 + 2*y**4 - y**2 - 4936*y - 4485. Find the first derivative of x(n) wrt n.\nAnswer: -16*n**3 + 24*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -3.912?\nAnswer: -3.912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 + -100. Let a = -152 - c. What is the biggest value in 1, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10712 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2304))\/(sqrt(3)*-2*5).\nAnswer: 8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*((-6*-2*sqrt(114))\/(sqrt(216) + (sqrt(216) + sqrt(216)*2 + sqrt(216) - sqrt(216)) + sqrt(216) - sqrt(216)) + -4).\nAnswer: -21 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/5 in -360, -2\/19, 50, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 510 and 665.\nAnswer: 67830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -24489\/9740?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 9 = 15. Suppose 0 = l + m + 2, -28 = -l - b*m + 8*m. Factor 0 + 36\/7*n**2 + 24\/7*n + 3\/7*n**4 + 18\/7*n**l.\nAnswer: 3*n*(n + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -9*l + 7*l - 2, 0 = -4*w - l + 17 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 13) in base 11?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98*w + 221*w + 147*w)*(w**3 - 5*w**3 + 7*w**3)*(1 - 6 + 2).\nAnswer: -4194*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 10*w - 784 = 130*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*x = -0*x - 3, x - 1 = 0. Let q = 0.4 + -0.5. Which is the second biggest value? (a) q (b) 2\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115 + 106 + -5 + 10400\/754\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202494176 to the power of 1\/3, to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1396628.73 nanoseconds?\nAnswer: 0.000000016164684375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -3 + 6 + -2 + 1. Let o be l\/12 + 24\/(-32). Which is the third smallest value? (a) 2\/11 (b) o (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291127787?\nAnswer: 291127787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, o: 5, i: 5}. Give prob of sequence io.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -27 + 27, -4*z - 4 = v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.991 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 6071*m**2 - 12142*m**2 + 6063*m**2 + m + 2*m**3 to the form i*m**3 + p*m + j + b*m**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6489046134?\nAnswer: 2, 3, 229, 571, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(40) - sqrt(120)\/sqrt(3))*1*6)\/(sqrt(8) + sqrt(72)\/sqrt(225) + (1*sqrt(648) - sqrt(648) - sqrt(648))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -79. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177\/14 + -379\/42. Which is greater: j or -23?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 6) + 642 + -585?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158906 is divided by 39691.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2 + 6. Let h be 2\/(-4) + (-46)\/(-4). Let t(p) = -97*p + 382. Let s be t(4). Let y(k) = 9*k**2 + 11. Determine h*o(q) + s*y(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 1:39 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5830113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 16.83163 years?\nAnswer: 0.01683163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1332228 to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*m**4 - 830*m**3 - 48052*m wrt m?\nAnswer: 96*m**2 - 4980*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 13*y - 14. Let o be h(14). Suppose o = 3*g - m, 4*g + m = 6*m - 11. Suppose -4*t = g - 13. What is the remainder when 6 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + c + 2*c)*(0 - 2 + 5) - 47 + 47 + 10*c + 0*c - 2*c + 6*c.\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 32\/5 of a meter?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64.2 - -64. Which is the nearest to -2\/5? (a) 2 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147680000 a multiple of 3692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237, 480, 725, 972, 1221?\nAnswer: 1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7726736894538 plus 5?\nAnswer: 7726736894543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 4:44 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 2*d = -132. Suppose 0 = -2*h - 4, 46 = 5*j - 5*h + d. Let a(f) = -f**3 + 5*f**2 - 6. What is a(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12013021 + 10?\nAnswer: 12013031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -1731 in decreasing order.\nAnswer: 3, 2, -1731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2\/50*5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, 9.\nAnswer: -10, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 614, 975, 1566, 2387?\nAnswer: 3438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 3*i - 420 = 0. Suppose 4*j - i = j. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 - (-10)\/6. Suppose 6*s = x*s + 880. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6*o - 184 = 0. Let m be 4\/10 - (-69)\/15. Suppose -m*w + 96 = -w. Calculate the remainder when o is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 2\/7, -140?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -19*p + 9. Let b(a) = 2*a - 1. Let h(i) = -36*b(i) - 4*c(i). Let t be -4 + -1 + (0 - 1). Let j(x) = -5*x. Determine t*h(k) - 5*j(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**6\/9 + h**5\/30 + 5*h**4\/18 - h**3\/9 - 52*h - 18. Let t(j) be the first derivative of n(j). Suppose t(p) = 0. What is p?\nAnswer: -1, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -v - 3*v. Let f = 10 + v. Let q(b) be the second derivative of -b**4\/12 - b**3 + b**2\/2 - b. What is q(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 3. Let i be t(-6). Let o be 12*i\/(-27)*-3. Suppose -2*m - 65 = -o*c + 3*m, 2*c - m - 37 = 0. What is the remainder when 37 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, r: 2, v: 4, h: 4}. Give prob of sequence vqv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 12:23 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36491 + 124455216?\nAnswer: 124491707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 1 - (-18 - (7 + -22)) - (-167 - -169)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -18*v**3 + v**2 + 2. Let y be o(2). Let q be y\/(-45) - (32\/(-20))\/(-4). Suppose 4\/9*x**4 - q*x + 2\/3*x**3 - 14\/9*x**2 - 8\/9 = 0. What is x?\nAnswer: -2, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d + 2*d - 5*d - 12*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -82 - (82 + -56 - 130)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 14 (c) -0.6 (d) 2\/17 (e) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -213440451 less than -213440450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 217, 436, 655, 874, 1093?\n\"Answer: 219*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - 23) + -12 + 28.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 517 = -5*k + 167, k + o - 141 = 0. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 35 = 4*s, -5*v - s + 20 = -0*s. Let o be (-24)\/v - (-1)\/(-5). Let g(f) = -f**2 - 10*f - 7. List the prime factors of g(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12315976 and 20294.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 37536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179165, 178959, 178751, 178541, 178329, 178115?\nAnswer: 177899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 + 0*x**4 - x**4)*(561*x + 6744*x - 550*x + 5842*x + 2948*x - 570*x).\nAnswer: -29950*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.57 and -7350.\nAnswer: 11539.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 799 and 509515109?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/170)\/(10\/(-50)). Sort 2\/7, -0.5, x.\nAnswer: -0.5, x, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011222 (base 5) in base 6?\nAnswer: 204033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d - 56. What is the remainder when 168 is divided by n(-15)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**5 - 111*t**4 - 717*t**3 + 5619*t**2 - 10080*t + 5292 = 0.\nAnswer: -21, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909196?\nAnswer: 2, 227299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4826\/5 not equal to 966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/6180 and -61\/4887.\nAnswer: 10067220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14001 - -4?\nAnswer: -13442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36108 by 9027.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -407434322 divided by 5653.\nAnswer: -72074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y - 34. Let z be n(-18). Let i(q) = -4*q**3 + 2*q**2 - 2*q - 2. Let r(t) = 9*t**3 - 5*t**2 + 5*t + 5. Calculate z*r(p) + 5*i(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12945792 and 384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-3)*30\/(-20). Let q(k) = k**2 + 5*k + 1. Let t be q(d). Sort -1\/3, t, -0.7 in descending order.\nAnswer: t, -1\/3, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(-3))**18)**29)**(2\/95))**(1\/16) assuming z is positive.\nAnswer: z**(261\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1015038886?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/20*2*(-135)\/(-72).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, z: 1, s: 3}. Give prob of sequence jsj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*n = -n + 42, 4*n = 16. Let q be d - (-1)\/((-3)\/(-9)). Calculate the highest common factor of q and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 = -0*j. Suppose 5*h - 20 - 20 = 0. Calculate the least common multiple of h and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-2)\/(-4)*-4. Suppose -3*p + l - 4 = 0, -3*p = -f*l + 6*l. Let r = -23 - -22.7. Sort p, 0, r in ascending order.\nAnswer: p, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/3 + 121393*b**3\/3 - 3684732683*b**2\/3 + 40517372291*b\/3.\nAnswer: -b*(b - 60691)**2*(b - 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2*j - 6*j = 13, 0 = -2*u - 3*j + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**4\/4 + 6*f**3 + 10*f**2 - 22*f - 15. Let r be l(19). Which is the fourth biggest value? (a) 1 (b) r (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 7*q - q - 7, 1053*q + 34 = 1057*q - 2*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 + 1. Let f = y - 0.3. What is the nearest to -2\/7 in -0.5, f, -4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 8*u**2 - u - 1. Let f be a(8). Let o be (-60)\/f*(-192)\/(-10). Suppose -2227 = -3*x + o. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.046 - 13.6.\nAnswer: -13.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 45\/8 (b) -3\/5 (c) 2 (d) -4 (e) -2\/37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**4\/12 + 3*i**2\/2 - 17*i + 21. Let a(n) be the first derivative of b(n). Calculate a(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -2, -5, -155, 19.\nAnswer: -155, -5, -2, 0, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 11*x + 2*x)*(3 + 1 - 2) + 0 + 4*x + 0.\nAnswer: 22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 5*m - 95. Suppose -5*k + 269 - m = 0. What is the remainder when k is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -382884 by 127628.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-12) - 8\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2133*f = 2141*f - 64 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/220126940 and 53\/40023080?\nAnswer: 440253880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000059589822 to 7 decimal places.\nAnswer: 0.0000596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 251 - 40?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**5\/30 + x**2. Suppose -3*r = -2*r. Let n(y) = 4 - y - 4 + r. What is f(n(l))?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 6. Let n be x(17). Let s(q) = -q**3 - 11*q**2 - 12*q - 40. Calculate the remainder when s(n) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.8 + -4.5. Let s(l) = -l - 2. Let z be s(2). What is the closest to p in 2\/13, z, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -7*f - 76. Let z = 30 + f. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d - 9. Let q be ((-70)\/28)\/(6\/4 - 1). Let b(i) = 4*i + 8. Let y(z) = q*m(z) - 6*b(z). Let n = -14 - -21. Determine y(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-10)*4\/(-10).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -903*m = -239*m + 909*m - 48763 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(684) + 3*sqrt(684) + 1)*1 + 5)**2*-2.\nAnswer: -21906 - 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127 = 86*x + 385 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**3\/3 - 6*h**2 - 3*h + 15. Let w(z) = -3*z**2 + 35*z + 10. Let y(j) = -17*i(j) - 6*w(j). Give y(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 310, 1245, 2806, 4993, 7806, 11245?\n\"Answer: 313*x**2 - 4*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + 1 + -1 + sqrt(72) + sqrt(256)\/sqrt(2)))**2.\nAnswer: 504*sqrt(2) + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1092, 4445, 10074, 17991, 28208?\nAnswer: 40737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 23 = 5. Solve 3 + 12 = i*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**5\/80 + 9*d**4\/32 + 5*d**3\/4 + 116*d**2. What is j in x(j) = 0?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -434041*i**2 - 231*i + 2. Let w be k(-2). Round w to the nearest 10000.\nAnswer: -1740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 229029 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -29. Suppose 0 = -4*m + 41 - 5. What is the least common multiple of 6 and (-492)\/a - m\/15?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r - 11. Let b be g(6). Suppose -3*u = p - b*u - 237, -3*u = 3*p - 741. Suppose x + 4*x - p = 0. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**5\/60 + 9*z**2 - 4. Let u(v) = 130*v**2. Determine u(x(i)).\nAnswer: 130*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 45 - 11. Is 19 a factor of (7\/z)\/((-5)\/2110)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1979400 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/(-18)*87\/4 and 79\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10998)\/1269)\/(1326\/(-18))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -571 and 0.5.\nAnswer: -285.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134 + 120. Let o(a) = -a**2 - 34*a - 14. What is the hundreds digit of o(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1747.3 + -1747. What is the second smallest value in -0.02, 1\/5, z, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/15 - 4\/20. Let d(i) = -4 - 2*i**2 - 2*i**2 - 4*i - 1. Let c(y) = 9*y**2 + y + 1 + 10*y**2 + 2*y**2 - 23*y**2 + 3*y**2. Determine x*d(u) + 6*c(u).\nAnswer: 2*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37264287 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -407?\nAnswer: 1\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2*u**3 - u)*(-38*u - 7*u - 21*u + (-3*u + 4*u + 0*u)*(2 + 0 - 1)).\nAnswer: -130*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + v - 1. Let d = -7 - -14. Let q = d + -5. Let b(p) = 9*p**q + 5*p - 4*p - 1 - 10*p**2. Give 2*b(i) - 2*f(i).\nAnswer: -2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**0\/v))**(-34))**(1\/9) assuming v is positive.\nAnswer: v**(-68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 2:16 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72447 - -9780239\/135. Let i = 2\/135 - k. Let b = 288098\/79233 - -2\/7203. Find the common denominator of b and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 44*z - 33. Let i be u(-29). Suppose -v = -2*p + 202, 4*p = -9*v + 12*v + i. Calculate the smallest common multiple of 30 and p.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -175916870 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33675785123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 + 4*x - 4*x - x**3 - 3*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*(-2 + 2*(-1*(-1*sqrt(143) - sqrt(143)))\/sqrt(11)*-1 + 5)**2.\nAnswer: -360*sqrt(13) + 3255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven tenths of a centimeter?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 18320 = -2*h. Suppose 3816 = -2*u + f, -3768 = 3*u - f + 1955. Let y = h + u. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o**2 - o + o)*(1 - 1 - o) - 15*o**3 - 99*o + 99*o.\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 11. Let h = 3 - -3. Suppose -h*x = -7*x. Calculate w(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112, 2612, 3 in descending order.\nAnswer: 2612, 3, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53437 is divided by 320.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 180 = -3*q. Let d = 5 + q. Let s be (-2)\/((-26)\/d) + (12 - 11). Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 895959 to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 315631, 631264, 946897, 1262530, 1578163?\n\"Answer: 315633*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 129693 divided by 16?\nAnswer: 129693\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.013 + -0.013. Let o = -223 - -218. Which is the second biggest value? (a) o (b) m (c) 0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31052 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 232*w + 73 + 46 + 2*w**2 + 68 - 160 as f*w**2 + c*w + d and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0.7 (b) -0.1 (c) -275\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312 by 104.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1139715446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - -3. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + s + 17. Let w(t) = 2*t**2 + t + 17. Let o(f) = -2*n(f) + 2*w(f). Let l(a) = -144*a + 2. Calculate l(o(b)).\nAnswer: -864*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 82606 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/4)\/(75\/(-120)). Let x(o) = 0*o**i + 3*o**2 - 15*o**2. Let c(j) = 14*j. Determine c(x(n)).\nAnswer: -168*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22612122 + -224?\nAnswer: 22611565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000010631 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000702801641 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/3117 and -13\/3.\nAnswer: 3117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.95 + 14.1. Let a = 8.15 - d. Which is bigger: a or -17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48516*253.\nAnswer: -12274548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-42)*-2 + 273\/196.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2 - 9*i + 2. Let q(u) = u**2 - 1. Let w(r) = d(r) - 5*q(r). What is the units digit of w(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 2420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(1\/22)*((d**(4\/11)\/d)\/d)\/d)**(-39) assuming d is positive.\nAnswer: d**(507\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 27237*y**3 - 3*y**2 - 108948*y + 12 = 0.\nAnswer: -2, 1\/9079, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -239 + 280 + 83 + -16.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 46 = 2*d, -2*b - 7 = -3*d + 2*d. What is the highest common divisor of d and 735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44999503091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6130437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 4:12 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004365542 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(0 + (-108 - 0) + 3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/5 + (-425)\/2000. Let z = o + 119\/48. Solve -2\/3*k**2 - 2 + z*k = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Suppose -3*m = -5*n - 16, -r*m - 5*n + 2 = 6. Solve -m*z = 5*q - 28, -4*q + 7*q = -5*z + 32 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.30313ml in litres?\nAnswer: 0.03630313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5206089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 14389223.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 136359 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 719221.6 micrometers?\nAnswer: 719221600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2 + 18*o - 303. Determine x(-12).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7 + 7 - 6*v**2. Let h(b) = -b**2. What is q(h(p))?\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 351?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/2 of a day?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92431.\nAnswer: 92431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.619 + 1.219. Sort -5, -3\/2, 0.05, q in increasing order.\nAnswer: -5, -3\/2, q, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-68) - (-58 + 58)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/91327 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/16*1*-2*4922*(-61)\/(-1403)\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 992393 times 27?\nAnswer: 26794611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 - 4.04. Let g = 0.36 - -4.74. Let u = 5 - g. Is m bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/8*67\/(3953\/(-118)).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 0 = 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxbx when four letters picked without replacement from {b: 7, x: 2, o: 2}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/4*w**3 + 9\/4*w + 0 - 3\/2*w**2 = 0. Calculate w.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.125766l to millilitres.\nAnswer: 3125.766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 1342*j + 1343*j = -9, -2*w = -j + 12 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -99*x. Let t(v) = 5*v. What is h(t(d))?\nAnswer: -495*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 262119.35 times -0.3?\nAnswer: -78635.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073 plus -0.185?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 25. Let l(r) = -7 + q - 2*r + 0*r - 1. What is l(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 13. Let m = -6 + 8. Let d = -977.6 + 975.6. What is the nearest to m in i, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -19. Solve -t - 6 = -z*d, 3*d - 3*t = -0*t + 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*a + 1 = 0, 4*i + 10 = -4*a - 2. List the prime factors of 1 - (i - (-3 + 20)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 7*h - 2. Let q be u(-7). Let o = 4.4 - 4. Let d be -3 + 16\/6*1. Which is the third smallest value? (a) q (b) o (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*d - 24*d - 3*d - 45*d as k*d + i and give k.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 637 + -644. What is the nearest to 0.2 in -1.2, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156, -251, -348, -447, -548, -651, -756?\nAnswer: -863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*a = 13*a + 13*a + 269 - 29 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.105 and -0.4?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.7 + 0.3. Let d = 14 - 16. What is the second biggest value in l, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1483 (base 9) to base 7\nAnswer: 3201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108 - -155 - -1) + -64?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.03, 1\/73, 27?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 39 and -41485032.\nAnswer: -41484993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*s**2 - 3 - 5 + 9 to z + l*s**2 + x*s and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 110275085?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -20 - 12. Suppose 5*l - 3*q - 12 = 0, -l + 5*q + 0*q = -20. Solve -r*t + 7*t + 12 = l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -2c09?\nAnswer: -2c0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*o, r - 5*r + 56 = -4*o. Calculate the highest common factor of 48 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 607, 2, 0, -120, -5 in decreasing order.\nAnswer: 607, 2, 0, -5, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.44 - -0.16. Let j = a + -0.6. What is the smallest value in 4, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f**2 + 5. Let o(v) = 3*v**2 - 2. Let w(q) = 2*c(q) + 5*o(q). Calculate w(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l - 5. Sort l, 2, -2.\nAnswer: -2, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, v: 2, z: 3, s: 1}. What is prob of sequence svzv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*q + 77*q - 3602223 + 3602225.\nAnswer: 236*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 1. Let s(h) = 21*h**3 - h**2 + 1. Calculate -2*s(g) - 2*t(g).\nAnswer: -40*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6630239.\nAnswer: 7, 11, 12301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 12:15 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**3\/7 + 19681*j**2\/7 - 101029240*j\/7 + 5830297200 = 0.\nAnswer: 441, 9620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 8*k - 14. Let v be q(-5). Suppose -2*t = -3 - v. What is the least common multiple of 22 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/165)\/(8\/(-6))*(-44)\/(-11).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -381, -1285, -2139, -2919, -3601, -4161, -4575?\nAnswer: -4819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -4) + (5 - 1) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 12*w + 36 = -48, 3*l + 9 = w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104685202 to the power of 1\/4, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -22*j - 12*j**2 + 17*j**2 + 4 + 18*j**3 + 19*j**2 = 0.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 106951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**2 + 24040*s + 144060 = 0. What is s?\nAnswer: -4802, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*u - 39. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127028 + -69328. List the prime factors of t.\nAnswer: 2, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*f + 277 - 277 to x + l*f and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21250*z**4 + z**3 + 15*z**2 - 5984465*z?\nAnswer: 255000*z**2 + 6*z + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttqootoccitnoot. Give prob of picking 2 t, 1 c, and 1 i.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 742\/3015 - 8\/335. Let q(p) be the first derivative of 8\/3*p**4 + 2*p**2 - 6\/5*p**5 - 2\/3*p - 14 + d*p**6 - 28\/9*p**3. Factor q(g).\nAnswer: 2*(g - 1)**4*(2*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 13*c - 201. What is k(15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*c + 7. Let b be (-2 + c)*(-4)\/(-12). Suppose -b*m = j - 13, 0 = j - 0*j + m - 15. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 3, 11 in decreasing order.\nAnswer: 11, 3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 - 4*f**2 + 105 + f**2 + 0*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 + 1.4. Let r = 0.03 + 0.27. Let w = -3\/8 + 17\/24. Which is the closest to w? (a) k (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2075873?\nAnswer: 269, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 343\/11 + -31. Let i = -357 - -357.05. What is the biggest value in i, w, 0.01, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 996543215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(3 + 18\/(-8)). Let b(v) = v**3 - 4*v**2 + 2. Let g be b(f). Factor 2*z - z**4 + 17*z**4 - 18*z**4 + 2*z**g - 2*z**3.\nAnswer: -2*z*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 101*c**2 - 227*c**2 - 48*c**2 + 27*c as i*c + r*c**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 7. Let p be i(-6). Let s be 3 - 6 - p*2. Let t = -25.85 + 26. What is the nearest to t in s, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 0*j**5 + 0*j**2 - 91\/6*j**3 + 0*j**4 + 11\/10*j**6 - 10 - 3*j. What is the second derivative of a(l) wrt l?\nAnswer: 396*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 5:44 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1218)\/168 - ((-360)\/16 - -23)\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 7, f: 1, s: 4}. What is prob of sequence ns?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d = -34*d + 646. Let q be -3 + 1041\/d - 2\/17. What is the biggest value in 2, q, -2\/3, 3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -123 + 128. Suppose -2*u - 12 - 4 = 5*a, 0 = -a - u - w. Put 0, 1, -0.4, a in increasing order.\nAnswer: a, -0.4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(35)\/sqrt(5) - ((sqrt(84)*2 - sqrt(84))\/sqrt(12) - sqrt(7)).\nAnswer: sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4623418*q + 2518665.\nAnswer: 4623418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001550641 rounded to seven dps?\nAnswer: 0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-899)\/1798)\/((-5)\/(-170))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + -45. Let y = 86.2 + k. Let n = y - 9.1963. Round n to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/4728 and -67\/418428.\nAnswer: 836856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.45 greater than -2\/1466737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21230912 is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 9*c + 10. Let l(w) = -2*w + 4. Let r be l(-2). Let h be k(r). What is the third derivative of 0*o**h + 3*o**2 + 3*o**4 - 5*o**2 wrt o?\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 11*c - 11. Let q be y(-9). Suppose q*a = -a + 24. Solve -a*b = 2*b - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - (25 + (-10 - 5) + -34)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 18, 33, 54, 81, 114, 153?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4)\/(54\/8064). Suppose -h - f = -2*h. What is the remainder when h is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + i + 180, i - 247 + 13 = -5*s. Suppose -13*m = -s - 6. Let a(c) = -3*c - 2. Let f(h) = -16*h - 11. Calculate m*f(r) - 22*a(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1246070.\nAnswer: 2, 5, 7, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19461119.4us in days?\nAnswer: 0.0002252444375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3602170 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, b: 1, o: 2, l: 4, e: 2, k: 2}. Give prob of sequence olbo.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3241*x - 16358. Calculate t(5).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y + 23*y + 2772 = 0. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12418 - -21540. Suppose -q = -7*b + 17387. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - 36. Let a = -50 - z. Suppose a = 5*m - 221 - 494. List the prime factors of m.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9853668 divided by -298596\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -584 or -586?\nAnswer: -586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00160678859 rounded to 7 decimal places?\nAnswer: -0.0016068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/2245 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 8. Suppose m = 5*h + 60, -z*h + 3*h - 190 = -5*m. Suppose -4*o + m = o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p*r**3 + 20*p*r**2 + 2*p*r - 2*r**3 - 3*r**2 + 9307*r wrt r.\nAnswer: -12*p*r + 40*p - 12*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 156714864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, m: 1, l: 1, o: 1, c: 2, f: 1}. Give prob of sequence lczo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10100010011010100 (base 2) to base 16\nAnswer: -144d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + o + 4 = 11, 43 = 4*d - o. Let l(s) = -2*s**3 - 4*s - 3. Let u be l(-2). Let q = u - d. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 430, 855, 1276, 1693, 2106, 2515, 2920?\n\"Answer: -2*r**2 + 431*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 - -74. Find the third derivative of r*s**3 - 5*s**3 + 5*s**2 + 5*s**4 + s**4 wrt s.\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 16 + 10. Suppose -y - 2*p = -x, 4*p - 12 = 4*y - 68. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 - -132?\nAnswer: 132.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 1\/102*p**4 + p**2 - 1\/1785*p**7 + 1\/340*p**6 - 1\/2856*p**8 + 1\/102*p**5 + 0*p - 39 + 0*p**3. Factor i(u).\nAnswer: -2*u*(u - 2)*(u + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(294\/72 + -4). Suppose -149*h + m*h = -330. Suppose 5*i = 3*q + q + 73, 5*i = 3*q + 76. Calculate the remainder when h is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1574, -7070, -16488, -29828?\nAnswer: -47090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -347\/2 + 3059\/18. Let c = x - -98\/27. Let m = c + 17\/135. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -392*k**6 + k**3 - 171*k**2 wrt k.\nAnswer: -47040*k**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, -0.2, 4\/7, 225?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/396*11)\/(90\/72).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (24 - (-5 - -2))) + 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2. Suppose -3*p + 6 = -0. Let n(v) = -v**p + v**2 + 0*v**2 - 3*v**2. Give n(m(c)).\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 5 (b) -3 (c) 16 (d) 7\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 104212514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83 + 83. Solve -13*w + 17*w + 12 = s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12524*w = -12679*w - 4960 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 - 43. Sort 5, 9, 1, m in decreasing order.\nAnswer: 9, 5, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 974700787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.144904836 times -0.1?\nAnswer: 0.0144904836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 + 105.7. What is the closest to 2 in 2\/9, 5\/4, c?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - -33) + (1 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z*z**(-21))))\/z*z)\/z)\/z**(-24) assuming z is positive.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzu when three letters picked without replacement from {l: 1, u: 4, z: 2, m: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -53, 0 in descending order.\nAnswer: 0, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.88665758 less than 3?\nAnswer: -7.88665758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -68 from 13623.\nAnswer: 13691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 19 = 5*n. Let z be ((-27)\/4 - -2)*-4. Let c = z - n. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347900 divided by 86975?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 14. What is the smallest common multiple of b(-6) and 46?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 9*t**2 + 10*t - 10. Determine w(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*f + 5*f - 25364 + 24804 = 0 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 24*b**2 + 700*b + 120. Calculate y(-29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1076, 1089, 1102, 1115, 1128?\nAnswer: 1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2270367 divided by 171?\nAnswer: -13277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -8*p + 181. Calculate the remainder when 60 is divided by d(18).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/27*((-4)\/(-300))\/((24\/(-4))\/18).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/181137 and -91\/38952.\nAnswer: 2351882808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 247765158 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 103*j**6\/120 - 7*j**5\/10 - j**3 + 5*j**2 - 68. What is the third derivative of y(a) wrt a?\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-10)*1024\/(-631680)*-94?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017341586 to 5 decimal places.\nAnswer: -0.00173","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 171 = 9*o + 162 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 14\/5*a**2 - 36\/5*a**3 + 104\/5 - 2*a**4 + 144\/5*a = 0.\nAnswer: -13\/5, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 5 - (-11 + -8 + 16). Let q(z) = z. Let l(o) be the first derivative of -5*o**2\/2 + o - 1. Give p*l(k) - 11*q(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*k**3 + 78396*k - 1 + k**2 - 78442*k - 19*k**3 + 0*k**2 to z + g*k**2 + c*k + m*k**3 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3 - 117137*w**2 + 3428921720*w + 78927177200 = 0 for w.\nAnswer: -23, 58580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7964*n**2 - 25*n - 2505. Let h(o) = -31851*o**2 - 113*o - 10020. Let a(r) = -2*h(r) + 9*w(r). Find the second derivative of a(y) wrt y.\nAnswer: -15948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -56, -24 in descending order.\nAnswer: 0.5, -24, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-33)*(465\/30)\/31.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -13*y + 1. Give p(-7).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nno when three letters picked without replacement from noon.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277413?\nAnswer: 3, 89, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 11:21 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*p + 2195, 2*p - 11*d + 12*d - 2185 = 0. Is 51 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1565173, 1565290, 1565407?\n\"Answer: 117*d + 1565056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 0*k + 7*k**2 + 0 + 0*k**4 - 3\/2*k**3 - 13\/60*k**5. Differentiate y(v) wrt v.\nAnswer: -26*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - k - 1. Let w be (2*1)\/(4 - 5). What is the remainder when 34 is divided by i(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 327 + -328. Which is the biggest value? (a) 3\/4 (b) 9 (c) o (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (278*k + 310*k - 57*k)*(2 + 0 - 4).\nAnswer: -1062*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6233409 to the nearest integer?\nAnswer: 2497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from {t: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/7)\/(164\/(-164)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45974.\nAnswer: 2, 127, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -5. Let p = 0.9 + n. Let q = -0.2 + 0.1. Is q < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32416\/33 - 982. Let t = u - -4\/11. What is the nearest to t in -1\/6, -0.5, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4275 = 446*h - 11857 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 2:05 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q = -4*y + 22 - 145, -4*y - 39 = q for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*g - 2. What is the remainder when 79 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 26*p**2 + 17*p + 48. Give q(27).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or 4457?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k - 4402 = 20098. What are the prime factors of k?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 20 + 2*b + 9 to the form s + u*b and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + d - 5*d - 23 = 0, -3*d - 24 = -3*k. What is the units digit of (47 - 49)*(1821\/(-2))\/k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 - -181. Let g = -104 + a. Suppose 5*p + 14 = -1. Put g, -4, p in decreasing order.\nAnswer: g, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + 6 - 13) + 19.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*q**4\/3 + 13046*q**3\/3 + 5230*q**2\/3 - 13046*q\/3 - 1740 = 0. What is q?\nAnswer: -1, -2\/5, 1, 1305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7224, -3, -2 in increasing order.\nAnswer: -7224, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -946*j + 75. Let t(w) = 946*w - 71. Let m(o) = -4*k(o) - 5*t(o). Let b(c) = -35*c + 2. Calculate 55*b(f) - 2*m(f).\nAnswer: -33*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 15*d - 1. Suppose -1 + 0 = -l. Let v be q(l). Let p = v + -7. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*g - 31, 3*j = 3*g + j - 44. Let u be (39 - 12) + 2*1. Let o = u - g. What is the greatest common factor of o and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/2)\/(-4 - -2). Let r = 4\/7 - 19\/21. Which is the biggest value? (a) 1\/12 (b) r (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 203516 and 3678.\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - 4*u - 6*u + (-36*u + 22*u + 18*u)*(4 - 5 + 6).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - s**2 + s - 1. Let g be m(-2). Let f be 3\/(-3)*(2 - 2). Solve f = -2*j - g + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 - 86. Solve -5 = -5*v - d, 0 = 4*d + 17 + j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*o + 44*o - 14*o + 43*o - 85 wrt o.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1427, -4, 3 in decreasing order.\nAnswer: 3, 0, -4, -1427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 9. Suppose 3*b + n*b = -5*u + 130, -3*b = 2*u - 77. Let m(g) = 24*g**2 - 51*g**2 + b*g**2. Let a(y) = -y**2. Determine a(m(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-3*2*(-2*sqrt(88) - sqrt(88)))\/(sqrt(80)\/sqrt(40) - (-4*sqrt(16)\/sqrt(2) - sqrt(8)))*5)**2 + 0).\nAnswer: -32400\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2706, 2705, 2704, 2703, 2702, 2701?\nAnswer: 2700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*u - 49 = -9*x - 82*u, 2*x - 5*u = 61 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-3) - -1)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 0 + 0*v**6 + 0*v + 0*v**3 + 1\/30*v**5 - 1\/336*v**8 + 5*v**2 + 0*v**4 + 0*v**7. Find the third derivative of o(r) wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.12 (b) -1\/4 (c) -0.227 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*g - 289*g**2 - 468*g**2 + 255*g**2 - 16*g - 8*g in the form z*g + x*g**2 + n and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from pcqyqtr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/13608 and -131\/3576.\nAnswer: 2027592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4632383, 4632321, 4632259, 4632197?\n\"Answer: -62*x + 4632445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4187*c + 836. Let d(f) = -2791*f - 544. Let t(w) = 8*d(w) + 5*g(w). What is the derivative of t(l) wrt l?\nAnswer: -1393","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 0 - 2*i**3 - 1 - 4*i**3 + i**2 + 4*i. Let v(r) = 1093 + 9*r + 1098 - 2193 - 13*r**3 + 2*r**2. What is 9*b(d) - 4*v(d)?\nAnswer: -2*d**3 + d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/3994 + -56912\/9985. Let k(f) = 47*f**2 - 13*f - 17. Let y be k(12). Let c = y + -79235\/12. Find the common denominator of c and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000361279 rounded to 6 decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-5))\/3*(-1 - 4). Let y = 34 + -32. Which is the closest to x? (a) y (b) -4\/7 (c) -1\/3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007671105 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**6\/3 - 9*b**5\/10 + 13*b**4\/15 + 12*b**3\/5 + 8*b**2\/5 - 4*b. What is y in u(y) = 0?\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*o + 57 - 18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.14 + 0.76. Let y = q + 2.1. What is the second biggest value in 0.4, -3, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150\/(-14))\/((-12820)\/(-17948)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*i + 78 = 491 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/3678 and -44\/9.\nAnswer: 11034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 72 - 507. Suppose -5*r - 3*h - 39 = -8*r, h = 2. Calculate the greatest common divisor of r and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s - 4. Suppose -c = -4*w - 5, -2*w - 25 = 5*c + 3*w. What is the tens digit of z(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29928617?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*l = 11350, 0*y = -3*y + 5*l + 6816. Suppose y = c - 210. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -11*f**3 - f**2 + 7. Let h(x) = 5*x**3 - 3. Let c = 16 + -46. Let v = c + 27. Determine v*b(u) - 7*h(u).\nAnswer: -2*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*v + v - 4*v)*(-3 + 3 - 1) - 2*v + 2*v - 3*v - 6*v + 3*v - 2*v + 17 - 17 - 8*v)*(-3 - 2 + 3).\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -238493 + 31806. Let x = c - -133687. What is x rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2088 (b) 2344 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -2*t - 22, 5 = -t - 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8705543 rounded to three dps?\nAnswer: 1.871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52891003 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4866 times -0.0932\nAnswer: 453.5112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -641, -1343, -2297, -3503, -4961?\nAnswer: -6671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqv when three letters picked without replacement from {v: 6, q: 7}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2499 divided by 1.\nAnswer: 2499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-39)\/(-26)*-2*4 + 9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312 = 18*s + 34*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2*h + 0)*(3*h + 3*h - 4*h) + 32*h**2 + 52*h**2 + 14*h**2)*(4*h**3 - h**3 - h**3) + (0*h**2 + 0*h**2 - 2*h**3)*(-2*h**2 + h - h).\nAnswer: 208*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -184 in -0.27, -3, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 19*w - 167. Let l be i(9). Suppose 0 = 4*j + 4, 3*u + u = -5*j + 55. What is the highest common divisor of l and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + 4 - 4*n + 4 + (1 + 1 - 3)*(0 + 0 - 2*n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 14345514?\nAnswer: -14345522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2379.\nAnswer: 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/36)\/((-2)\/(-48)). Put 3, 2, o, -3 in decreasing order.\nAnswer: 3, 2, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -118 and 3?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 9*p**2 - 5*p + 5. Let y be 81\/6*8\/(-12). Does 10 divide n(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from {j: 5, c: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2743 - 2732.438. What is f rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36392305 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4385237795?\nAnswer: 5, 137, 827, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + r = -223, 53 = u + 10*r - 5*r. Calculate the highest common divisor of 219 and u.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -16) + 0*3\/6. Solve -3*b = 5*a + u, 2*b - 12 = 6*b - 4*a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -251*b + 44173. Calculate l(176).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4 + 606*x**3 - 31479*x**2 + 116412*x = 0 for x.\nAnswer: 0, 4, 89, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (559*j + 668*j - 325*j - 180*j + 373*j)*(1 + 1 - 7).\nAnswer: -5475*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f - 15*f + 9*f - 23 - f - 1.\nAnswer: -2*f - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -19\/3. Is 2\/9 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*m**3 + 2*m - 21*m**3 - 12*m**3 - 16*m**3 - 3*m - 6 - m**4 + 2*m**2 as o*m + l + j*m**2 + h*m**4 + q*m**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 1, -3, 167573 in ascending order.\nAnswer: -4, -3, 1, 4, 167573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4542 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5 (b) 5 (c) -3 (d) 56\/51 (e) 4 (f) 2\/5 (g) -5\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 312697070 to the nearest integer?\nAnswer: 17683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**5 + 4*s**4 + 5*s**2. Let x(g) = 3*g**5 + 5*g**4 + 5*g**2. Let p(r) = -5*m(r) + 4*x(r). Find the third derivative of p(w) wrt w.\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 59 + 107*v.\nAnswer: 107*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9*h**3 - 8*h**2 - 56*h - 2. What are the prime factors of o(11)?\nAnswer: 19, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**2 + 3464*n - 3932940 = 0.\nAnswer: -1515, 649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/12 - -2 - 4\/(-6). Put 5, -1, y in descending order.\nAnswer: 5, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29328 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g**2 + 118*g - 591. Determine m(16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.4 + 1. Suppose -1 = -4*q + 7. Suppose -2*m = u + 9, 3*m - q*m + 4*u = -15. What is the third biggest value in m, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 6*q + 3. Let m(n) = 5*n**3 + n**2 - 4. Let c = -6 + 2. Let d(o) = -o**3 + 1. Determine c*d(p) + q*m(p).\nAnswer: -p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/6 and 2086\/(-616) + 25\/(-20)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -299*c - 3. Let s(h) = -997*h - 10. Let k(y) = -10*a(y) + 3*s(y). Let j(v) be the third derivative of v**4\/6 + 4*v**2. Give -4*j(i) - 20*k(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.258537016 minus -1?\nAnswer: 0.741462984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1292 and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*i - 72 = 12, i = -4 - 1 for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 31*h + 127. Let v be k(-4). Suppose 3*w + 3 = -5*o - 0, 3*w + o = 9. Suppose w*i - 4 = 0, 0*t + t + 7 = 2*i. Sort v, -2, t in ascending order.\nAnswer: t, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 6 - 4. Suppose 0 = -2*f - v*n + 364, 5*f - 2*n - 986 + 97 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n - 4*n + 4*n**3 + 2*n**3 - 3*n**3 - n**3 + 0*n**3 + 2*n**3 + 0*n**3 + (-3 - 3 + 4)*(-2*n**3 + 2*n - 2*n) - 2445 - 340 + 2549*n**3 - 2552*n**3 - 5249.\nAnswer: 5*n**3 - 8034","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-24)\/u))\/(u\/u**(2\/7)))**(-1\/54) assuming u is positive.\nAnswer: u**(-59\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/316 and 11\/1896?\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2600380890 to the nearest integer?\nAnswer: 50994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + ((-242)\/(-33) - 7). Which is the third smallest value? (a) 1 (b) -5.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 78 - 33*f.\nAnswer: -33*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n + 32606*n**2 - 2 + 7*n - n - 17*n.\nAnswer: 32606*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8205700 rounded to the nearest one hundred thousand?\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9515 - -9512. What is the second biggest value in 5, -14, 1, -0.1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**13\/k*k)\/k)*k)**(-23)*k**13*k\/(k\/((k\/(k*k**18\/k))\/k)) assuming k is positive.\nAnswer: k**225","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127282, -4, 106 in increasing order.\nAnswer: -127282, -4, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (44*m - 34*m**2 - 44*m)*(0 + 4 - 6) + (-m**2 + 1 - 1)*(12 - 3 - 4) to the form k + n*m**2 + t*m and give n.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 118772266 to the power of 1\/2, to the nearest integer?\nAnswer: 10898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000071626561 rounded to 6 dps?\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 5*w + 7 = 0, -2*q + 0*w - 5 = -3*w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 211 in 0.5, -0.1, -80\/17, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - ((-3*sqrt(117)*6 - sqrt(117)) + sqrt(117)))**2.\nAnswer: 42237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -70*s**2 + 673*s + 413582 wrt s.\nAnswer: -140*s + 673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-46.1677.\nAnswer: -1.385031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from {j: 3, w: 3, z: 1, b: 1, q: 3, a: 2}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2093314\/5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 + 466832*l\/7 - 192205794\/7.\nAnswer: 2*(l - 411)*(l + 233827)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 75 = -4*n, -3*n = n - 3*d - 83. Suppose -n = 5*x, -3*v - 10 = 2*x - 41. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 374 - 372. What is the first derivative of -152 - 26*y**2 + 0*y + 36*y**2 - 19*y**a + 3*y wrt y?\nAnswer: -18*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71 - -155. Suppose 3*d = 21 + c. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10312134443 + -2?\nAnswer: 10312134441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 - 18*v**2 + 17*v - 7. Let g be j(8). Are -23 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d + 551 = 41*d. Suppose -d*r = -28*r. Solve 4*z - 8 = 5*j + 7, r = 3*j - 4*z + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (52 + -46 - (2 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -204d89 + -1b?\nAnswer: -204da6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12953?\nAnswer: 12953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**(2\/11)))\/(d*d*d**5*d*d*d*d))\/(d\/d**10*d\/d**(-1\/10)))**(12\/13) assuming d is positive.\nAnswer: d**(-1926\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.39 + 25.39. Which is smaller: -511 or s?\nAnswer: -511","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -778 + 926. Calculate the remainder when x is divided by 43.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 take away -5516?\nAnswer: 5836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 10:02 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3775176?\nAnswer: 2, 3, 52433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 8:39 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k - 9. Let h be b(6). Find the second derivative of -4*r - r**3 + r**h + 3*r**5 + r**5 wrt r.\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**7\/840 + r**5\/40 + r**4\/24 - 4*r**3\/3 + 3. Let t(h) be the third derivative of i(h). What is the tens digit of t(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c - 12. Let g be u(3). Suppose g*p - 4*p = v - 1355, -4071 = -3*p + 3*v. List the prime factors of p.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + -4.2. Let q = -3.8 - s. Let w = -2 + 2.4. What is the third biggest value in -3, w, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b - 7*b - 15*b + 16196920 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 16 (b) -1 (c) 5 (d) 7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 367057381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*f = -0*o - 13, 0 = -2*o + f + 9. Is o < -2.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3068, -2846, -2392, -1592, -332?\nAnswer: 1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -3 (c) -2.8 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 0.036 (c) -5 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 362842094 and 2.\nAnswer: 725684188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 592383 and 110.\nAnswer: 5923830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -s + 2. Suppose -s*o = o - 4*y - 16, y + 1 = 0. Which is the second biggest value? (a) -5 (b) o (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7818, 7814, 7808, 7800, 7790?\n\"Answer: -c**2 - c + 7820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.159417 + -10.16. What is o rounded to five dps?\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 50 = 0, -2*a + 11 + 5 = 8*w - 3*w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 y when three letters picked without replacement from pbyyyhpyybxvhvyy?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0774 take away -12813?\nAnswer: 12813.0774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {d: 12, c: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -4 (c) -0.4 (d) -12647\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/4*y**5 + 33\/4*y**2 + 0 - 9\/4*y**4 - 9\/4*y**3 - 9\/2*y = 0 for y.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 287.0648 nanoseconds?\nAnswer: 0.0000002870648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3341026837 to the nearest integer?\nAnswer: 57802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eutenoenntgnnttn. Give prob of sequence tg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 + -108. Let s(n) = -2*n - 8. What is s(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k**3 - 19*k**2 - 22*k - 10. Let u(f) = -f**3 - 3*f**2 - 4*f - 1. Let j(t) = -6*u(t) + w(t). Calculate j(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*r - 5 - 0, -r + 6 = 5*q. Suppose -s - q - 8 = 0. Let k = -1 + s. Which is bigger: -1\/4 or k?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*v + 24*v + 14. Suppose -v*q = 12906 - 35859. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l - 10 + 4 + 4 - 9*l + 5*l - 27*l**2 to s*l**2 + b + q*l and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28912 and 801752?\nAnswer: 20845552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -125?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -133\nAnswer: 66.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 321*v - 1. Let q(a) = a**2 + 1 + a + 0*a + a**3 - 2*a. Let g be q(0). Let r be h(g). Round r to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10*(-12 - (-6 - -3)). Let r be k\/6 - 6\/(-2). Let n(b) = -3*b + 1. Is n(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*f + 96 + 204 = 0. Let l(d) = -2*d**2 - 4*d. Let q = 1 + 1. Let t(n) = -4*n + q*n + n + 2*n**2 - 3*n**2. Give f*t(c) + l(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7 + f + 0*f - 4 + 3. Let c be v(-5). Suppose b - 4 = -c. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551451997 is divided by 2000.\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60\/16*2\/(-5). Let j be (-1 - 4) + 37\/((-592)\/(-32)). What is the smallest value in 0.4, j, f, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/11))**30\/((r*((r*(r\/r**(-10))\/r)\/r*r*r)\/r)\/(r**15\/r)) assuming r is positive.\nAnswer: r**(412\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.95164 - 0.04836. Which is the smallest value? (a) q (b) -0.4 (c) 19 (d) 0 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -206986, -206940, -206894?\n\"Answer: 46*i - 207032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-245.766.\nAnswer: 737.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h. Let j be q(-5). Let d(f) = 8*f - 28. Let r be d(j). Suppose n - 10 = -s + 19, -2*n + 4*s + r = 0. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 9330*l - 9331.\nAnswer: (l - 9331)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -7.34.\nAnswer: 36.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2855 - 1546. What is the hundreds digit of (-10)\/(-20)*(o + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53315 + 53243 - y - 106558.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = z - 2*p, z + 6 = -5*p + 23. What are the prime factors of 29\/4 - (-9)\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t. Let k(v) = -21463*v**2 - 508. Let b(o) = -127*o**2 - 3. Let m(j) = -508*b(j) + 3*k(j). What is m(f(l))?\nAnswer: 508*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -227 + 121. Let b = k + 108. Solve -6*w + y = -b*w + 9, w = 3*y - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 7) to base 14\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2. Let l(p) be the second derivative of -11*p**4\/12 + 5*p. What is l(d(w))?\nAnswer: -11*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -25. Let i = 17 + w. Let j = i - 4.00038. What is j rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, 16, 44, 84, 136, 200, 276?\n\"Answer: 6*a**2 - 2*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*t - 183 = 198, -2*t + 6 = 0. What is the highest common divisor of k and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6862, -13721, -20578, -27433, -34286, -41137, -47986?\nAnswer: -54833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 2)*9\/27. Suppose -3*x = -3*r - 12, l = -3*r + r. Suppose 2*z = 3*z + 5*u - 10, z = -x*u + 14. Calculate the lowest common multiple of z and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 11*t + 20. What is s(7)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 0.4, 4, -94, -28.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*c = 111*c + 6. Suppose 4*x = -3*j + 19, 3*j = -0*x - 5*x + 23. Sort x, -1, c in descending order.\nAnswer: x, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 11:30 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert b556 (base 16) to base 12.\nAnswer: 22a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -647 - -1320. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.897 + 0.4969. Let v = 0.4 + x. Round v to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*p - 7*p - 2*g - 11, -4*g = -5*p - 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, 3, 248, -3 in decreasing order.\nAnswer: 248, 120, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -780*l + 8579. Give b(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 63635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 4*w - 5. Let v be 11\/w - 2\/10. Suppose 0 = 3*b + v*b - 60. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-550)\/(-33)*6\/15*36\/8?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five halves of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16191, -129665, -437551, -1037019, -2025239?\n\"Answer: -16195*s**3 - 36*s**2 - s + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.7 (b) -7\/2 (c) 17 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 2, 3, -6, -2450749 in increasing order.\nAnswer: -2450749, -6, 3\/7, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/30 and -143\/5397490.\nAnswer: 16192470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4372 + 4 + (-1 - -1). What is the common denominator of (30270\/f)\/(-5) - (-4)\/(-26) and -33\/10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*j**3 - 118*j**3 - 123*j**3 + 363*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 588347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 3\/8 (c) -14.8 (d) 0.1 (e) 3 (f) -0.4 (g) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1195\/21 - 172\/3. Which is the third biggest value? (a) -0.05 (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3288 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -179, -434, -885, -1598, -2639?\nAnswer: -4074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/4)\/r)\/(r*r**(-8))*(((r*r*r**2*r*r)\/r)\/r)**(-6) assuming r is positive.\nAnswer: r**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/(-112))\/(2\/21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 116890638 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673600 is divided by 14966?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -44f3e2?\nAnswer: 44f3e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 63 + (19 - ((-18 - 7) + 5 + 36))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61*n**5 - 7*n**4 + 7*n**4 - 4 + 2*n + 9 wrt n?\nAnswer: 1220*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 114*t - 117*t - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y + 5. Let z be h(-2). Suppose 0 = 4*g - 0*g - 8. Suppose -k - 4*r - 13 = 0, k = -g*k - 3*r - 21. Sort 1, z, k in descending order.\nAnswer: 1, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*j**2 - 1)*(j - 4*j + j) + j**3 + 5*j**3 - 20*j**3.\nAnswer: -18*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 5*s - 39219 = -39196, 2*b = 4*s + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 31. Let g(k) = -3*k + 4. Suppose x - 50 + 46 = 0. Let z(p) = 38*p - 44*p - x + 10*p. Calculate s*g(o) - 4*z(o).\nAnswer: -o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3618, 3590, 3562, 3534?\nAnswer: 3506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002310139429 to 5 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 407 or 497?\nAnswer: 497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24579673, -49159344, -73739015, -98318686?\nAnswer: -122898357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89976.16g to kilograms.\nAnswer: 89.97616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -0*s. Let x(z) = z**2 + 5. Let p be x(s). Solve 0 = i + 2*i - 6, -4*o + p*i - 22 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-12) + 12\/((-792)\/(-77)). Solve -2*l + t = -11, -29 = -5*l + t + w*t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (34 + -34 + 26 - 16) + 21\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -2. Let k = m + -5. Put 0, k, -6 in descending order.\nAnswer: 0, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 439200 and 132480.\nAnswer: 40406400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4257258 divided by 7482?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*d**4 + 1\/5*d**3 - 1\/5*d**5 + 0*d - 1\/5*d**2 + 0.\nAnswer: -d**2*(d - 1)**2*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (23 - 0) - (-38 + (47 - (-6 - -20)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y. Let d(z) = 10*z + 4. Let a(u) = d(u) - 5*m(u). Let i(k) = -4*k - 3. Let j be ((-11)\/2 + 4)*-2. Give j*a(q) + 4*i(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.84 * 2.1012.\nAnswer: 3.866208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 728, -2218, -7126, -13996?\nAnswer: -22828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17643728?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8559 and 246132?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14342.2 rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*l - 0*l - 17, 3*k - 15 = -3*l. Suppose -k*b = -8, o - 2*b - 22 = -0*b. Suppose j + 5*d = 2*j - o, j - 2 = -d. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-27)*4*1*3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, i: 17}. Give prob of sequence iiiz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 188816838 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 184, 2, 203, -5, 0, -8, 4 in increasing order.\nAnswer: -8, -5, 0, 2, 4, 184, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 + 9031*a + 45202. Give i(-5).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 112\/(-114) + -2 + 3. Let v be (184\/30 - 0 - 6) + 3\/315. What is the closest to 1 in 0, u, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 10 = 10, 3*c = -10*x + 172. Calculate the greatest common divisor of c and 31117.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 9. Give b(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 75\/(-100) - 86\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3840 + 3861. Calculate the greatest common divisor of 546 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -192 - -1726\/9. Let m = 1.3 + -0.2. Let q = -0.8 + m. Which is the biggest value? (a) q (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(1000\/(-48))*30\/(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 11 + 2)\/(-1). Let d be w\/(-6) + 7\/21. What is the second derivative of 7*k + 3*k**4 - 2*k**2 - 3*k + 2*k**d wrt k?\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10763810 rounded to the nearest 10000?\nAnswer: -10760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 6. Suppose -x + v = x. Suppose x*f - 2*i + 8 = 2*i, 3 = -2*f + 3*i. Calculate the greatest common factor of f and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-21)\/(-14))\/(4 + -1). What is the fourth biggest value in -2, 2, 3, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 5*x**2 - 2*x + 2. List the prime factors of a(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006429 to seven decimal places.\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 8*t**2 + 8*t - 6. Let w be b(-9). Suppose 2*f - 6 - 4 = 0. What is the first derivative of 30*o**4 + w + f - 24*o**4 wrt o?\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/5, -3 in descending order.\nAnswer: 3\/5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.3 - 85.8. Let c = -79 - q. What is the third smallest value in 10, -4, -0.3, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -575064400 to the nearest one million.\nAnswer: -575000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 11:24 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 896.3743 meters to centimeters.\nAnswer: 89637.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2, -21.49, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, p: 6, a: 2, x: 1, c: 3}. What is prob of sequence agc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31152 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 6*q**3 - 2*q**3 + 2*q**3 + 5 - 2*q**3.\nAnswer: 4*q**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 3 + (3 - 3 + 1)*(3 + 2 + 4))*(-s**3 + 4*s - 4*s)*(2*s**2 - s + 0*s + 0*s**2).\nAnswer: -10*s**5 + 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5 = 3*m, -m = m - 3*n. Factor -m*w - 3*w - 19*w**2 + 22*w**2.\nAnswer: 3*w*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 6*c**3 - 3*c**3)*(0*c + 0*c - 3*c) + (2*c**2 + 0*c**2 + 0*c**2)*(1 - 5*c**2 - 1).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6.86246243406 and -0.3.\nAnswer: 6.56246243406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -6 - (-4 + 11 - 43 - -8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 161 and 1.312.\nAnswer: 211.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1680 and 735.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -16*p**3\/5 - 592*p**2\/5 - 116*p - 144\/5 = 0.\nAnswer: -36, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/15*49)\/((-538)\/(-807))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((3*sqrt(504) - sqrt(504))\/sqrt(8) + -6*sqrt(63)*2)\/(-2*sqrt(576)*-3 - ((sqrt(576) + 1*sqrt(576))*-3 + sqrt(576) + sqrt(576))).\nAnswer: -sqrt(7)\/8 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 525, 1054, 1585, 2118?\nAnswer: 2653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8350 and 370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-105)*-7)\/(-1*(-3)\/36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4*g - 1 - 5 - 2.\nAnswer: 4*g - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-26)\/(-2))\/(1\/(-85)). Let m(g) = 348*g - 12. Let u be m(-2). Let o = u - j. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36346 (base 8) to base 16\nAnswer: -3ce6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5980375568 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.818 and 34.1?\nAnswer: -61.9938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 127*a**2 - 267*a + 2123. Calculate u(125).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.3, 2 in ascending order.\nAnswer: -1, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-9) - 1*39. Calculate the remainder when (x\/4)\/((-12)\/96) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-25)\/15*6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -5.433, 5, 0.2, 0, -1?\nAnswer: -5.433","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335 = -4*i - 55. Let l = 17 + 14. Let z = 66 - l. Calculate the greatest common divisor of z and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + d + 23 = 0, 3*p - 6*d = -5*d - 25. Let s(z) = z**3 + 8*z**2 - 3*z - 10. What is the tens digit of s(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -7 + (-14 - -2 - (-14 - -8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 3*z = -24. Let l be z\/(24\/(-20)) + 4. List the prime factors of (31 - l) + 1\/1.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l - 18. Determine x(-26).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d**34*d)\/d))\/d)\/d)\/d**3 assuming d is positive.\nAnswer: d**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 9:42 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**4\/12 + j**3\/3 - 30*j**2 + 3. Let l(r) = -r. What is l(g(k))?\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 208686 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/11)*x\/x**(-5\/2))**(5\/13) assuming x is positive.\nAnswer: x**(405\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.4 - 9.4. Let u = 0.3 + -1.3. Which is the closest to u? (a) 5 (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4805?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1001010011101111111?\nAnswer: -1001010011110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 13, g: 6}. Give prob of picking 2 o and 1 g.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -269, -267, -263, -257, -249?\n\"Answer: l**2 - l - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + c - 7. What is t(-7)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozcp when four letters picked without replacement from pocooozpoipizp.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.032 - -303025710.\nAnswer: 303025709.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 + 0 - (531 + -526) - 14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -118209\/42104 >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 - 24*c - 5. Let s(d) = -11*d**2. Let j be s(-1). Let g be f(j). Is g less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 7*a**2 + 2*a - 3. What is the units digit of d(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -19. What is the second derivative of v*y**2 - 4*y - 14*y**2 + 7*y + 3*y wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 529*d**8\/336 - 1023*d**4\/8 - 307*d**2. Find the second derivative of y(c) wrt c.\nAnswer: 10580*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o - 11. Let p = 25 + -4. Suppose 0 = 4*w + 2*u + 17 + p, -4*w - 26 = -2*u. What is the remainder when i(w) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**5\/11 + 13*s**4\/11 - 2*s**3\/11 - 13*s**2\/11 = 0.\nAnswer: -13\/2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 24010584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (95 + 5)*6\/15. Calculate the remainder when w\/(-6)*45\/(-10) is divided by (102\/(-119))\/(1\/(-21)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1709970436189 - -0.2.\nAnswer: -1709970436188.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -45*j**3 + j**2 + j + 1. What is q(-1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -668*t**5*z - 1059*t**2*z + 5071*t*z - 2*t + 4*z wrt t.\nAnswer: -13360*t**3*z - 2118*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-7))\/(-3*8\/(-14)). Let t(z) be the second derivative of 0 + 17*z + 0*z**2 + g*z**3. Let y(h) = -2*h - 12. What is t(y(b))?\nAnswer: -2*b - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1285, 1776, 2487, 3418, 4569, 5940, 7531?\n\"Answer: 110*i**2 + 161*i + 1014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (222\/(-8))\/((-7)\/((-168)\/(-9))). Suppose 336 = 5*z - 4*f, f + 413 = 5*z + l. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/4*(10 - 0). Let q = 19 + t. Let x(s) be the second derivative of -s**3\/2 - s**2 + 145*s. What is x(q)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2480 + 641 = -185*n + 936 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.9271303 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 16*y = 20*y + 38, 5*y = -4*n - 16. Solve n*h - 2*h - 26 = 2*z, -3*h = 3*z - 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-5 + -4 + 1 - -1 - (21 - -33)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*h - 22*h + 549. What is the greatest common factor of 122 and h?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*a + 10*o, -4*o - 3 = 5*a - 0*o - 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 12 - 19 = 3*c, 0 = -3*d - 4*c + 72. What is the greatest common factor of 220 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -25*z**6\/2 - 171*z**2\/2 + 4*z + 8. What is the first derivative of t(n) wrt n?\nAnswer: -1500*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332 - 254 + 814 - 304 - 15*m.\nAnswer: -15*m - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 807 = 3*b - 5*b, -2*t + 2*b = -320. Suppose -t = -4*q + 119. What is the highest common factor of q and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 4\/(-928)*-513. Let v = -75\/29 + g. Find the common denominator of -47\/2 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5\/2, -587, 10?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/6*(7371\/315)\/117.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, o: 1, l: 1, j: 1}. What is prob of sequence lu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.048228 and 1531553?\nAnswer: 1531552.951772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 47. Let w be ((-2)\/j)\/(9\/45). Which is greater: -0.2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196539077 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**2 + 5. Let b(p) = -p**2 - 4*p + 1. Let r(z) = -z**3 + 8*z**2 + 10*z - 14. Let w be r(9). Let u be b(w). What are the prime factors of s(u)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(45) + (sqrt(20)\/sqrt(4) + 0)**2.\nAnswer: 2 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (820*b - 5075*b + 19 - 19)*(-2*b**3 + 0*b**3 + 4*b**3) in the form j*b**2 + v*b**3 + m*b**4 + x*b + d and give m.\nAnswer: -8510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -140503 (base 6) to base 4\nAnswer: -3031113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**2 + 6*i + 15. Determine p(5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083641 a multiple of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561*x = -12*x - 943*x - 22817 + 110745 for x.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**3 - 19516*o**2 + 214304*o - 545216 = 0. What is o?\nAnswer: 4, 7, 4868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36126 is divided by 154.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*l - 5778, -18*l - r = -23*l + 7233. Is 1445 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*c - 78*c + 22 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27121.36 days to microseconds.\nAnswer: 2343285504000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - (-4 - (3 + -5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -209*n**2 - 1. Let j(x) = 628*x**2 + 3. Give 6*j(d) + 17*q(d).\nAnswer: 215*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 242? (a) 3 (b) 2 (c) -2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*p - 5*i, -p = 5*i - 3*i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -101.2 in 0.5, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + (sqrt(200) - (-2 + -1 + sqrt(200))))*-3)**2.\nAnswer: 540*sqrt(2) + 1881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2 - 59*r + 46. Let p be v(14). Solve p*d - 5*t = 18, -1 - 1 = t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 1\/8, -0.05, 142, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 138\/42 - (-4)\/(-14). Suppose -y - 19 + 18 = 0. What is the closest to y in j, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.46189611 to four decimal places.\nAnswer: 0.4619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12360*d**3 - 24777*d**3 - 58715*d**3.\nAnswer: -71132*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 12*z**3 - 8*z**2 - 9*z - 3. Let a(q) = -14*q**3 + 6*q**2 + 7*q + 2. Determine 4*a(r) + 3*o(r).\nAnswer: -20*r**3 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1020*v - 1043*v + 3 - 1091*v + 3261*v - 6.\nAnswer: 107*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -21*s. Let k(r) be the second derivative of -r**5\/60 + 15*r**2\/2 - 24*r. Let m(y) be the first derivative of k(y). Determine m(u(c)).\nAnswer: -441*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 26*k - 14. Let w be p(5). Suppose -100 = -9*h + 5*h - 3*c, -4*h = -c - w. Calculate the remainder when 107 is divided by h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 781 and 7028858?\nAnswer: 77317438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*y + 10 = -2*b, 2*b - 15 = 3*y. Suppose 5*n - 11*n = -246. Suppose b = -3*r + 4*r - n. List the prime factors of r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4\/157 - -391\/3140. Let w(m) be the second derivative of -g*m**5 + 1\/12*m**4 + 0*m**2 + m + 0*m**3 + 0. What is the third derivative of w(l) wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-6\/7)\/c*(c**6\/c)\/c)**(-2\/3) assuming c is positive.\nAnswer: c**(-44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.4298919km?\nAnswer: 42989.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 16 = 2*q - 5*q, 0 = g - 5*q - 24. Let p be (-35)\/(-20) - g\/(-4). Which is the nearest to -1\/4? (a) -2\/9 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 395.\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 - 481*t**2 - 247*t + 1413. Give w(241).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*g - 57, -10*g - 62 = 4*l - 8*g. Let b = -2980928\/218603 - 2\/19873. Which is smaller: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2404 - 807459767\nAnswer: -807462171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 108136755*v**3 - v**2 + 4*v + 28342631 wrt v?\nAnswer: 648820530*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -1\/12, -4, 2.9 in ascending order.\nAnswer: -4, -1\/12, 2\/7, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 13*o + 8. Let k be y(13). Suppose -154 - 110 = -3*u. Calculate the highest common divisor of k and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4a376 (base 13) to base 11\nAnswer: 93880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 13*w + 6. Let v be d(12). Let m(c) = -41*c - 3. Let l(b) = -20*b - 2. Let u(g) = v*m(g) + 10*l(g). Does 21 divide u(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l**3 + 12*l**3 + 4*l**3 + l**3.\nAnswer: 32*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3094 + 0.4094. Let d = 0 + 1. Which is the nearest to -3\/5? (a) -2 (b) d (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -5*x - m, 3*x + 3*m + 4 = 2*x. Let k(h) = -2*h**3 + 5*h**2 - 2 + h**3 + 4 + 0*h - h. Let w be k(5). Sort w, x, -0.2 in decreasing order.\nAnswer: -0.2, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 + h**2 - 3*h - 8. Let k be d(-8). Suppose -30*a + 36*a = k. Is a a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 1, 5*w = -5*l - 23 + 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82871 is divided by 27601.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4\/9 + 4*w**3\/3 + 2*w**2\/9 - 16*w\/3 + 32\/9 = 0 for w.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2633 - -20613?\nAnswer: 14650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d + 18?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7707\/84*4*1. Solve 379 = 4*c + l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 790 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g = 31 - 99 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -1\/2 (c) 144 (d) -36\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (-3)\/(9\/(-12)). Suppose y*f + 0*f = -3*f. Solve 0 + f*q - 2\/9*q**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3217.5 and 1474.\nAnswer: -1743.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 14 - 4*h + 3 - 9. What is the least common multiple of 20 and f(0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2582, 10454, 23574, 41942?\n\"Answer: 2624*i**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**5\/7 + 22551*k**4\/7 + 42299940*k**3\/7 - 297115200*k**2\/7 + 170102592*k\/7 + 509495184\/7 = 0.\nAnswer: -3762, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 4291959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, b: 1, x: 3, a: 2, p: 1}. What is prob of picking 1 p, 1 a, and 1 e?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/11011187?\nAnswer: -7\/11011187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 + -62.38. Let o = -0.38 - y. Which is smaller: 1\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1178952.725 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*b + 3, 5*b + 2 - 5 = 3*z. Let y(g) be the second derivative of -2*g**3\/3 - 2*g. Calculate y(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 552031324 + -1?\nAnswer: 552031323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = 57*y + 51*y. Let n(k) be the second derivative of y + 1\/6*k**4 + 0*k**5 + 1\/42*k**7 - 1\/15*k**6 - 5*k - 1\/6*k**3 + 0*k**2. Factor n(a).\nAnswer: a*(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*a - 5*k, -3*a + k = 2*k + 7. Let s(w) = -w + 4. Let l(h) = -1 + 2*h - 2 - h. Determine a*s(t) - 4*l(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -644 less than or equal to -643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y = 2*k + 3046, k = 1. Suppose h + 5*d = 219, -3*d + y = 4*h + 174. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17033 is divided by 487?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9405 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwl when three letters picked without replacement from wllllllllwll.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 5:44 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -769089781*w**2 - 233460747*w - 1 wrt w.\nAnswer: -1538179562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 18*x**2 + x + 21. Let u be c(-18). Suppose -3*v - 5 = 3*i + 7, 5*v + 20 = u*i. What is the tens digit of i + (4\/12)\/(2\/210)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*r - 40 = 0, 3*z = -z - 3*r + 27. Let d = 1 + z. Factor -8\/5*t**3 - 8\/5*t + 12\/5*t**2 + 2\/5*t**d + 2\/5.\nAnswer: 2*(t - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 6*w**2 - 5*w + 4. Let x be a(-4). Let m be x\/32 - 31\/4. What are the prime factors of m\/(-36) - 122\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 9*t**2 + t - 3. Let d be a(-7). Suppose 0 = n + 3*n - d. What is the lowest common multiple of n and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*6*sqrt(9))\/sqrt(3).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -2*z**3\/3 + 1691. Let c(h) = -3812*h. What is c(x(i))?\nAnswer: 7624*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from noooooamomom. Give prob of sequence moa.\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2766, 2756, 2732, 2688, 2618, 2516?\n\"Answer: -n**3 - n**2 + 2768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -22*i**3 - 5*i**2 + 4. Let l = -27 - -31. Let z(x) = 21*x**3 + 5*x**2 - 3. Let u(y) = l*z(y) + 3*c(y). What is the third derivative of u(d) wrt d?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 85\/6*k**3 - 96*k**2 - 1\/15*k**6 - 1\/20*k**5 + 0 + k + 0*k**4. Differentiate n(f) with respect to f.\nAnswer: -24*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eebh when four letters picked without replacement from {b: 1, h: 3, e: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -54, -154, -306, -510?\n\"Answer: -26*j**2 - 22*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 15*d = -816. Let p be (-3*1)\/((-27)\/387). Let q = p + -26. Calculate the highest common factor of q and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*m**2 + 0*m**3 - 2*m**3 + 224*m**2.\nAnswer: -2*m**3 + 327*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5299160 is divided by 223.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 2. Let d be y(4). Suppose 3*u = 17 - d. Suppose 67 - 27 = u*x. Calculate the lowest common multiple of x and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*y**2 - 16*y**2 - 14*y**5 + (y**3 - y**3 + 2*y**3)*(-4*y**2 - 7*y + 7*y) - 2*y**5 + 0*y + 4*y - 6*y.\nAnswer: -24*y**5 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 - w**2 + w - 2. Let z be c(-2). Suppose 4*v + 5*g = 33, -4*v + 13 = -5*g - 10. Let t = v - z. What is the closest to -1 in 0.2, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 - (30 - 103)) + -12.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*c - 5*k, -2*k + 7*k + 17 = -2*c. Let s be c - (-4 + 1 + 3). Let t be (5\/2)\/(1\/8). Put t, 1, s in descending order.\nAnswer: t, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234021?\nAnswer: 3, 78007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5744944 times 0.2\nAnswer: 0.11489888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57649402?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 13) + 3 + (2 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 3307055?\nAnswer: 3307061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*l**3 - 45036*l**2 - 88800*l - 44188 = 0.\nAnswer: -11047\/106, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 288\/(-126)*(((-1050)\/9)\/25)\/((-20)\/75)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 413129 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8*b - 10. Let y be p(-4). Suppose -13*h = -15*h + y. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**6\/120 - h**5\/10 - h**4\/6 - 549*h**2 - 2. Give m(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1202.417 weeks?\nAnswer: 727221801600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*y - 246*y - 81*y = 140*y + 2202 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + j - 50 = 2*g, 30 = 3*g + 4*j. What is the common denominator of g and 16\/4 - (-198)\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 86, 47, 0.2, 13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 536*q**4 - 640*q + 512*q**4 - 1262*q**4 wrt q.\nAnswer: -2568*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19724, 19703, 19682, 19661?\n\"Answer: -21*j + 19745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146934 is divided by 56.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 3)*(-1 + 26 - 3 - 14925*f - 22) in the form u*f + p and give u.\nAnswer: -29850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((2 - -5) + -7) - (11 + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 58.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147983346 - 24.\nAnswer: -147983370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + -1 - (5 + 1)\/(-3). Let i(x) = x**3 + 6*x**2 + 3*x - 7. Let d be i(-5). Suppose 5*f + d = 23. Solve -5*v - 13 = 4*y, r = 5*y + f*v - v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 50. Let s be (0 + 5)*t\/(90\/(-344)). Suppose -i + 2*c = 53 - s, -3*i + 5*c = -355. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 222642.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q - 12. Let y(z) = -1. Let i(p) = v(p) - 6*y(p). What is the first derivative of i(o) wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 801851.7ml to litres.\nAnswer: 801.8517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3 = -o, -34*o = 2*s - 31*o - 9. Suppose -2*i - 4*h + 67 + 25 = 0, i - 2*h - 66 = s. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*n + 5 = -n, 0 = -3*n - 15. Suppose 0*d = -3*d - 4*w + 459, v = -4*d + 4*w + 584. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 0.42, 26, 0.3, 0, -669?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.064807946515 - 0.009?\nAnswer: 5.055807946515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**3 + b**2 + 2*b + 1. Suppose -y = -2*y + 3. Suppose -y*j + 3 - 6 = 0. Let s be r(j). Solve -5*u - 30 = -2*z + 3*z, -s*z + 5*u = -10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/4 (b) -1\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 27*h**2 + 3*h - 143. Give w(27).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3611*z**3 - 6481*z**3 - 86*z - 41*z - 37*z. Let x(c) = -87*c**3 - 5*c. Calculate -5*h(t) + 164*x(t).\nAnswer: 82*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2916)*-2*2 + sqrt(2916) + sqrt(2916))\/((3*sqrt(24)*-2)\/sqrt(2)) + 5.\nAnswer: 5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159971.\nAnswer: 7, 22853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16685889555 + 5049.\nAnswer: 16685894604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -35*b + 105. Let v be f(3). Let y(s) be the third derivative of 0*s + v + 3\/8*s**3 + 1\/16*s**4 + 1\/240*s**5 - 14*s**2. Factor y(m).\nAnswer: (m + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21069 divided by 7023?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/13 in 8\/5, -10, 0, -0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k. Let w(t) = -177 + 375 - 198 - 109*t**2. Give c(w(i)).\nAnswer: -654*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -21. Find the second derivative of 29*s + 3*s + 60*s**3 - 119*s**3 + 3*s**2 + z*s**2 + 11*s wrt s.\nAnswer: -354*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**5\/30 + m**2. Let h be (-4)\/6*(0\/4 + -3). Let l(g) = 1 - 6*g**2 + 1 - h. Calculate t(l(b)).\nAnswer: -72*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279660 is divided by 17150.\nAnswer: 5260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 7*y**2 + 6*y + 49. Let a be t(-7). Suppose -a*u = -11*u + 3120. What are the prime factors of u?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 620509845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 14*h**2 - 21*h + 42. Determine o(13).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 13) in base 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i**2 - 6*i. Let n(r) = -2*r**2. Give d(n(u)).\nAnswer: -20*u**4 + 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128 and 4.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 divided by -865915?\nAnswer: 128\/865915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z + 1. Let u(q) = -29*q - 5. Let a(y) = -6*u(y) - 33*x(y). Let g be a(-4). Suppose -5*o + g = p, 2*o - 5*o = 12. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5502*g + 8991*g = -10493*g + 4736*g + 607500 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 2 + (-18 - (14 - 14) - -21).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-3))\/((-18)\/27). Let v = -0.3 - -0.7. Which is the smallest value? (a) 0.1 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7238 + -11?\nAnswer: 7227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1274, 1299, 1324?\n\"Answer: 25*o + 1249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000179489 rounded to 7 decimal places?\nAnswer: -0.0000179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 4103?\nAnswer: -4102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 89 + 6776036969064\nAnswer: 6776036969153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 135\/(-975)*(-35)\/(-21)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/1505 and -59\/2785.\nAnswer: 838285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29609768 or -29609778?\nAnswer: -29609778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + 0 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17930 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 325169578 divided by -5?\nAnswer: -325169578\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25573\/6 - 4249. Find the common denominator of 83\/18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rht when three letters picked without replacement from {h: 3, r: 11, t: 4}.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b + 14*b - 56 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1247*a**2*f**5 + 12*a**2*f**2 + 62*a**2*f - 2*a**2 - a*f**2 + a*f - 7*f**4 wrt f.\nAnswer: 74820*a**2*f**2 - 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 58 = -2*w, -3*w = 4 - 1. Let a = z - 12. Suppose 2*f = -i + 16, 0 = 4*i - a*f + f - 50. What is the highest common factor of i and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/78568 and 17\/6946?\nAnswer: 11863768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3)\/d**(-2))\/(d*d**(-10))**13 assuming d is positive.\nAnswer: d**(355\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2001 + 1?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 606847169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - t + 6. Let k be n(-7). Let i = k + 59. Let m = -14 + i. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 129*z**2 + 11*z + 19. Let g(a) = -26*a**2 - 2*a - 3. Calculate -11*g(b) - 2*s(b).\nAnswer: 28*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(20)*-1*-6)\/(sqrt(160)*5).\nAnswer: 7*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) 1093 (c) 0.5 (d) -5 (e) -143.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-6))\/(1\/51). Suppose 2*w - 5*p = -w + 37, 4*p + o = w. Calculate the greatest common divisor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001566266 rounded to 6 dps?\nAnswer: -0.001566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (168\/140)\/((-2)\/(-10)). Let j(p) = 20*p - 63. Calculate the remainder when j(h) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/6 - 0)\/((-2)\/(-3)). Put 6, 0, l, 4, 18 in increasing order.\nAnswer: l, 0, 4, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/6)\/((-2)\/(-3)). Let j be ((-29)\/((-1218)\/(-112)))\/((-2)\/15). Suppose 9*c = 4*c + j. Solve 0 = -o*a + 4*a - 6, 3*t - c*a + 3 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.7365, -2, 0 in decreasing order.\nAnswer: 0.7365, 0.2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -454\/5 + 91. What is the nearest to -1 in 0, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*j = 2*j - 28, -18 = -3*v - 3*j. Suppose 14 = v*p + 2*w, p + 4*p - 19 = -w. What is the remainder when 20 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281343508 to the power of 1\/3, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 16953 + 11457. What is j rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 14*q**5\/25 + 23*q**4\/10 - 2*q**3\/15 - 23*q**2\/5 - 12*q\/5 + 130. Suppose t(f) = 0. Calculate f.\nAnswer: -3, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4084, 4089, 4094, 4099?\n\"Answer: 5*q + 4079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32 - 37?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4041*q**3 + 881*q**3 - 1329*q**3.\nAnswer: -4489*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 497454245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**3\/3 - 42*a + 108 = 0.\nAnswer: -9, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2000) + sqrt(2000) + -2*sqrt(2000))\/sqrt(5))\/(sqrt(24)\/sqrt(48) - sqrt(200)*1))**2 + -1 + 3 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/3 (b) 1\/4 (c) -2 (d) 2 (e) 4660\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7938 greater than -269845\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -12118\/17 not equal to -714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.83 - -3.3345. What is r rounded to two decimal places?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**2\/2 - 1. Let i(u) be the third derivative of -1\/6*u**3 + 0 + 0*u + 11*u**2 + 1\/24*u**4. Calculate 2*i(q) + 3*n(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 1, 125, -4 in descending order.\nAnswer: 125, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3997 or 1049?\nAnswer: 3997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 98*o + 98*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -3*s + 84, 206*s - 2*c + 56 = 208*s for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -415079.3173 rounded to the nearest ten thousand?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 a when two letters picked without replacement from {w: 3, u: 6, a: 4, c: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 101 = z + 94, -3*z - 15 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 - 18*l + 4. Determine u(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = i + i - 14, 3*i = 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6875 (base 10) to base 15.\nAnswer: -2085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 12050 = -w, -49*q = -47*q + 6. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11784*y**5 - 54*y**4 + 54*y**4 - 6663*y**5 + 2*y**2 - 16391*y**5)*(1 + 1 - 1).\nAnswer: -34838*y**5 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13755733*z**4 + 3*z**3 - 181195288*z wrt z?\nAnswer: -165068796*z**2 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1 - 4 + s + 5 + 1. What are the prime factors of f(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-5)*(-15)\/6. Let n be ((-2)\/(-4))\/(p\/(-16)). Factor h - 2*h**n - h**5 - 5*h**2 + h**2 + 5*h**2 + h**2.\nAnswer: -h*(h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by -1291530?\nAnswer: -37\/1291530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*n**3 + 52*n**3 + 63*n**3 + 4*n.\nAnswer: 159*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/(31\/((-10044)\/(-5280))) and 61\/55.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 497073, 994148, 1491223?\n\"Answer: 497075*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/13 (b) 1 (c) 4 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -13 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 13*c**2 - 2*c - 26. Let h be z(-13). Suppose 15*x + h*x - 58605 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(99)*1 + -2 - sqrt(99)) + 5 + ((sqrt(99) + sqrt(99) + -1)**2 + sqrt(99))*2*2 + -4.\nAnswer: -36*sqrt(11) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-6)\/21 - (-24)\/35). Let s = -137 + 144. Calculate the greatest common factor of g and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48890 divided by 9778.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3920 and 222960.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, i: 9}. What is prob of picking 2 s and 2 i?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -71, -111, -151, -191, -231?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/48 and ((-69)\/(-54))\/(((-256)\/(-24))\/8).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/(-5)*(-70)\/4. Suppose 2*b - 11 = 17. What is the highest common factor of b and w?\nAnswer: 14","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 {z: 8, f: 8, v: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 10*p**2 + 6*p - 4. What are the prime factors of w(-11)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*c + 5145 = 4074 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdcccdccccccc. Give prob of sequence dd.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -53, -198, -435, -764, -1185, -1698, -2303?\n\"Answer: -46*g**2 - 7*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -7*i**3 + 3*i**2. Let z = 1081 - 1080. Let v(b) = -b**3 + b**2. What is z*m(q) - 3*v(q)?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2094338?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2529755*o - 1264877*o - 1264878*o + 4*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 + 13248 - 6619 - 6629.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432439646.\nAnswer: 2, 31, 37, 131, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 14. Let r = -1 - w. What are the prime factors of (-1)\/1 + r - -8?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120100 (base 3) to base 12.\nAnswer: -2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 52\/324359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1121 (base 3) to base 14\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 13*t - 4. Let g = 31 - 35. Let v be 13\/(-1) - g - 2. Let p be r(v). What is p rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306561087 bigger than 306561086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125.9 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26095, -52179, -78263, -104347, -130431?\nAnswer: -156515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2329152, 4658126, 6987100?\n\"Answer: 2328974*z + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -847917 or -847924?\nAnswer: -847917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 1210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6115640 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 7:00 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2\/l)\/((l*l**6\/l)\/l)*((l*l\/(l\/(l*(l*l*l*l**(-2\/21)*l)\/l))*l)\/l)\/l**2)\/(l**(1\/3)\/l**7)**(-4\/5) assuming l is positive.\nAnswer: l**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = 4*d - 223. Suppose 151 = -46*n - 79. Sort 4, -1, n, d.\nAnswer: n, -1, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8737 = 2*m + 5*b - 8776, -3*b = 3*m - 27 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 5*b + 19, -3*c = -5*b + b - 63. Let u = c - 4. Suppose -30*v - 294 = -51*v. Which is greater: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17095995 and 396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + 0*j**2 + 3*j**2)*(j + 3*j - 5*j)*(-2*j - j - j) + (-4 + 0 + 1)*(j**3 - j**3 + 2*j**4).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/11)\/(4\/4*-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -333 - -407. Let g = -67 + 7. Let l = g + z. Calculate the greatest common factor of 126 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252665 is divided by 91?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 840417*55.\nAnswer: 46222935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 87642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1963)\/(-92) + 4\/(-46) and 47\/318.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0457 - 148839.74.\nAnswer: -148839.6943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 30*d - 128. What is f(-14)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1550*w + 21484 = 55584 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 24*t - 2*t - 6*t + 30*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {i: 2, d: 1, x: 2, p: 1, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - (3 + (18 - 24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16147 by 17213.\nAnswer: 16147\/17213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32 and 0.5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**5\/30 - d**4\/3 - d**3 - 9*d**2. Let b be q(-3). Suppose -w + 39 = -b*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 5. Let r be c(-7). Let q = -5 + r. Suppose -j - q = 5*b - 3, -3*j - 3 = -2*b. Solve -t + 2*k - 3 = b, -t + 5*k - 12 = -0*k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33439*n**5 + 3*n**4 + 6*n**3 - 12240176*n**2 wrt n.\nAnswer: 2006340*n**2 + 72*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 20 = 2*k + 2, -5*f = 5*k - 10. Let l(o) = -o - 10. Let m be l(-10). Let p(a) = -a**3 + 4*a - 5. Let b be p(2). Sort b, k, m in descending order.\nAnswer: k, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 105*b**2 + 92*b + 414*b**2 + 188*b**2 - 93*b - 3*b**2. Let c(m) = -m**2. Give k(c(f)).\nAnswer: 704*f**4 + f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/9*((-9954)\/(-126))\/(5\/15).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(5*sqrt(42)\/sqrt(6) + sqrt(7)) - 1*6*3*sqrt(3))**2.\nAnswer: 11449\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -1 - (177 - 183)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m + 2*m**3 + 3*m**3 - m**4 + m. Suppose 5*l - 12 = 18. Let z(f) = -3*f**4 + 14*f**3 - 17*f. Let y(b) = l*z(b) - 17*n(b). Factor y(o).\nAnswer: -o**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.0773, 0.5, 1\/3?\nAnswer: -0.0773","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*w - 1587 = 1613 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -34 (b) -6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.61 (b) 1\/5 (c) 2\/7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(121)*-3 + -2*(sqrt(121) + 2*sqrt(121)))*-5)\/((sqrt(88) + 1*-2*sqrt(88))\/((sqrt(88)*-3)\/sqrt(11) + sqrt(8))).\nAnswer: -90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 328363656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**3 - 8*f**2 - f + 4. Let h(d) = -4*d**3 - 9*d**2 + d + 5. Let n(v) = 2*h(v) - 3*j(v). Let k be (-2)\/(-6) + (-13)\/3. Calculate n(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.03 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gapkgkgggy. Give prob of sequence kygk.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -6*22\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -54. Let n(v) be the first derivative of -5*v**2 + 24*v + 10 - p*v + 4. Differentiate n(d) with respect to d.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v**2 - 6*v**2 + 4*v**2)*(0*v - 11194 + v**3 + 11188 + 2*v).\nAnswer: -9*v**5 - 18*v**3 + 54*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12*(33\/9 + -4). Suppose -3*y = -n*y + 6. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3099, -6125, -9007, -11673, -14051, -16069, -17655?\n\"Answer: 12*o**3 - 3110*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 52. Let a(h) = -4*h - 208. What is -6*a(n) - 26*m(n)?\nAnswer: -2*n - 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-48)*12)\/((12*12\/(-64))\/57)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 5. Let q be m(-5). Let l(f) = -f**3 + 10*f**2 - 55*f + 233. Let z be l(7). Which is the closest to -0.1? (a) q (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1547 + 0.04.\nAnswer: 0.1947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**3 - 14*k**2 + 11*k - 2. Let w(f) = -5*f**3 + 29*f**2 - 23*f + 4. Let q(h) = 2*w(h) + 5*x(h). Find i, given that q(i) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5331 + 5330.97491. What is c rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1233, 2476, 3731, 5004, 6301, 7628?\nAnswer: 8991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -182*y**2 - 3096*y - 10. Let c be i(-17). Put c, -1, 18, 5, 1 in decreasing order.\nAnswer: c, 18, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 + 2*x**3 - 3*x**3 + 3 - 3 + 3*x**3 - x + x - 3*x**3 + x**3 + 3*x**3 + (-x + 2*x**3 + x)*(3 + 3 - 4) to t*x**2 + d + b*x + a*x**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69*b**2*j*r**2 - 2*b*j*r**3 + b*r**3 - 237*j*r**2 - r**3 wrt b?\nAnswer: 138*b*j*r**2 - 2*j*r**3 + r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07504 - -0.07. What is j rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 254525292 and 27030?\nAnswer: 1272626460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/2*q**4 - 186*q**3 + 34969*q + 34221\/2*q**2.\nAnswer: q*(q - 187)**2*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**(-34)))\/(c\/(c*c**(1\/9)*c)))\/((c\/(c\/((c\/(c*((c\/c**(1\/14))\/c)\/c)*c)\/c)))\/c**(-2\/139)))**(-3) assuming c is positive.\nAnswer: c**(-595919\/5838)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4663.\nAnswer: 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/5))**24\/(((z\/(z\/z**(1\/76)))\/z)\/((z**(3\/4)\/z)\/z)) assuming z is positive.\nAnswer: z**(1343\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -2*u + 2*a + 174 - 81, 2*a = u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 27 = 17. Suppose -2*s + x*h = -h - 337, 3*h + 15 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**5\/3 - 5464*z**4\/3 - 70564*z**3\/3 - 93888*z**2 - 108240*z = 0.\nAnswer: -1353, -6, -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, f: 15}. What is prob of sequence ifi?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bibbbibbbbi. Give prob of sequence ibbi.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 3*p - 5*v + 1, 4*p + 1 = -5*v. Let y(g) = -6*g**2 - 6*g + 2. Let f be y(p). Let w = f + 84. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**12)\/l**5*(((((l\/l**11)\/l)\/l)\/l)\/l*l)\/l*l**(1\/10) assuming l is positive.\nAnswer: l**(-59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**2 + 85*x - 66. Let z be h(20). Solve 18 = -z*j + 28*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -c3bc2b?\nAnswer: c3bc29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 12*l - 4. Let t be y(6). Suppose 8*r + 4 = 4*r. Sort t, -5, 36, r in decreasing order.\nAnswer: 36, r, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 575*d - 14944. Let c be s(26). Solve -16*m + 40 = -c*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58588914?\nAnswer: 2, 3, 61, 160079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6552*f - 903*f + 1114*f.\nAnswer: 6763*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:57 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 0 - (-1)\/(((-539)\/224)\/(-77))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-587*g + 1212*g - 594*g) + 11*g + 10*g - 3*g - 2 + 2 + 2*g.\nAnswer: 51*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 498, -0.07, -1, -0.3, -2, 0.2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 327127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, m: 12}. What is prob of sequence kkmk?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -150, -217, -280, -339, -394?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3027370 and 679?\nAnswer: 21191590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(5\/11)*s*s**(1\/2)\/s)\/(s**(5\/3)\/s)**(-2\/7) assuming s is positive.\nAnswer: s**(991\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 q when three letters picked without replacement from pqqpqqqprqpqqpqqqpq?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 take away -43?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13595.\nAnswer: 5, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2363.\nAnswer: 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0138 and 0.41.\nAnswer: 0.4238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 6*i + 3*i)*(-26*i + 3*i + i).\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 17*n**2 + 5*n + 13. Let t = -23114 + 23111. Determine j(t).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/((s\/s**(-8))\/s))*s)\/s)**11 assuming s is positive.\nAnswer: s**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 7:03 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11702*a**3*o**3 - 672*a**3*o**2 - a**2*o**2 + 40*a*o wrt o.\nAnswer: -70212*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/10246 and -37\/9?\nAnswer: 92214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14437.\nAnswer: 14437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 240*n**2 + 1694*n - 3. Give g(-7).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -4. Let i = -32956\/9 - -3656. Calculate the common denominator of ((-2)\/(-24))\/(z\/4806) and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/9*(35\/10 + -2). Let w be (-9)\/a - 2\/4. Suppose -z - 715 - 514 = -2*u, w*u - 5*z - 2461 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjsssivjiuvsivsj. What is prob of picking 1 u, 1 i, and 2 s?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 67713 (base 10) in base 12?\nAnswer: 33229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7384 + -7383.9994051. Round c to five dps.\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 h when three letters picked without replacement from eceeweghheerhhhwhch.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-15722)\/8 - (-13)\/(-52). Let p be 4\/34 - (-2)\/(136\/y). What is the third biggest value in -2, -1\/2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -402 - -264. Let r = -5 - u. Suppose -5*m + r = 28. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 512507993*q**2 - 512507993*q**2 + 8*q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 35*i**5 - 890*i**4 + 2755*i**3 - 2560*i**2 + 660*i = 0.\nAnswer: 0, 3\/7, 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 91*l + 1303. What is c(77)?\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 8*u**2 - 6*u - 2. Let b be j(-7). Let q be ((-4)\/3)\/2*b. Solve 3*d - 2*d - 2*a + 8 = 0, -2*a + q = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 50*((2 - 5) + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**5 - 124*i**4\/7 - 652*i**3\/7 - 176*i**2\/7 = 0 for i.\nAnswer: -4, -2\/7, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.2489352 centuries?\nAnswer: 24.89352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 5076?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = 5*h + 4*k + 13, 10*k - 4*k = -4*k - 150 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - s**2 + 2*s + 63. Let u be j(0). Let v = -110 + 65. Let q = v + u. What is the smallest common multiple of q and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2348258 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 3*i - 2*i)*(113*i + 309*i + 85*i).\nAnswer: -1014*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2401119 from -0.4.\nAnswer: -2401119.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5 = 0, -b = -2*v - 0*b - 11. Let p be (44\/v)\/(((-28)\/66)\/7). Suppose -p = 4*w - 393. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -40. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**7\/28980 + c**6\/8280 - 5*c**4\/4 + 5*c. Let d(y) be the third derivative of q(y). Find f, given that d(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 73633.\nAnswer: 5\/73633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 28.000128. Round a to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 205*h**3 + 36*h**2 + 16*h - 18*h - 35*h**2 to the form p*h**3 + l + g*h**2 + i*h and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - w. Let b be w - (-2)\/(-2) - -3. Suppose b*o - 4*c + 2*c = 6, c = 3*o - 17. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175 + -1 + 11 + -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 175\/3 - 59. Suppose 5*m - 3 = 2*m. Let z be m\/4 + 0\/8. Which is bigger: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 9409*z**6\/630 + 194*z**5\/105 + 2*z**4\/21 + 71*z**3\/3 + 230*z**2. Let l(r) be the first derivative of v(r). Factor l(p).\nAnswer: 4*(97*p + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316, 300, 266, 208, 120, -4, -170?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -589*k**3 - 116 + 113 + 580*k**3.\nAnswer: -9*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1207 - -14298. What are the prime factors of l?\nAnswer: 5, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -121.3 - -121. What is the third biggest value in -80, o, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 2. Calculate the least common multiple of g and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1684, 3309, 4934?\n\"Answer: 1625*l + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-3 - -2)) + 0. Let n be (4 + 1)*-2*t. Let r be (-2)\/5 + 4000004\/n. What is r rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*w - 22, -3*q + w - 2 = 2*w. Which is smaller: q or -19\/12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(10\/(-6)*1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 take away -2939?\nAnswer: 2904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (934632\/(-126))\/(-1)*(-56)\/(-12)?\nAnswer: 2, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a millimeter in micrometers?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*p**2 - 3*p + 3*p + 20*p**2.\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -1302141?\nAnswer: 1302141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/11, -2\/3, -2, 41656?\nAnswer: 41656","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 472005, 943973, 1415941, 1887909, 2359877, 2831845?\n\"Answer: 471968*u + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.7.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589*w + 3124*w - 651 = -440*w - 6601 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2016 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 + 15*x**2 + 6*x + 20. Determine b(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -93 + -9478?\nAnswer: -9560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -1)\/(-6 - (-50)\/8). Let q = j - -24. Suppose 12*f + 12260 = q*f. Is f 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 2088 and 6003?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a8 (base 11) to base 13.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 9*c**2 - 5*c - 4. Suppose y + 0 - 2 = 0. Let g be 2\/(y\/(-24)*-3). List the prime factors of a(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 7\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009863093129 to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**8\/26208 - c**7\/32760 - c**5\/30 - 2*c**2. Let u(r) be the third derivative of x(r). What is o in u(o) = 0?\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139526155 a multiple of 1620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77609575 to the power of 1\/2, to the nearest integer?\nAnswer: 8810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**14\/c*c*c*c)**30)**(-24\/5) assuming c is positive.\nAnswer: c**(-2448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -264*p**3 + 57*p**2 - 62*p. Calculate q(1).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 600 and 840?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*i**3*l*y - 2*i**3*y**3 + 2*i**3*y + 2*i**2*l - 2*i**2*y - 29*i*l*y**3 - 11*l*y**2 wrt y.\nAnswer: -12*i**3*y - 174*i*l*y - 22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1964 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -2*a + a + 17, -4*a + 3*w - 8 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4842 + 4846. Which is the smallest value? (a) 0 (b) 0.5 (c) 43 (d) s (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -0.3. Let c = j + -0.9. Let w = -2 - -5. Which is smaller: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (-1*sqrt(91) + sqrt(91))*3 - sqrt(91))\/(sqrt(84)\/sqrt(48)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 + -0.2. Sort d, 2, -0.4.\nAnswer: -0.4, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 38. Let q be 8\/(-36) + b\/9. Factor r - r + r**2 - q*r + r**2.\nAnswer: 2*r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -22*((-21)\/(-14))\/(-1). Calculate the highest common divisor of r and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 3:30 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 104, -1 in decreasing order.\nAnswer: 104, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.037 (b) -4 (c) 51 (d) 1\/2 (e) 13 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2513855782?\nAnswer: 2, 31, 40546061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**6\/120 - a**5\/30 + a**4\/24 + 11*a**3\/6 - 19*a**2. What is the tens digit of q(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*l - 16824 = -1000*l - 761*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 8, -288, -916, -1978, -3576, -5812?\nAnswer: -8788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39*v**2 - 77*v**2 - 40 - 68*v**2 wrt v?\nAnswer: -212*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a\/(a*a**(1\/16))))\/(a*a**3))**(-31)\/(a**(-7)\/((a\/(a*a\/(a\/(a*a**0))))\/a))**(-2\/3) assuming a is positive.\nAnswer: a**(7187\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, n: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, p: 7, b: 1}. What is prob of picking 1 p and 1 c?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 91 = -31. Let b = f - 28. Suppose -b*l = 3*l - 215. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 25898*d**2 + d + 1. Let l be p(-1). Suppose -9655 = -3*z + l. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -214*(-9)\/(-90) + 4\/10. Let l = k + 70. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3437*m**3 - 2*m**2 + 201*m.\nAnswer: -20622*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o - 124. Give b(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0118118413 to 4 dps.\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*m**2 - 17*m**3 - 128*m**2.\nAnswer: -17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 2:01 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7956349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32524 and 7266.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4181*u - 2061 - 13303 + 2821 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*d + 30 = 113*d. Suppose x = 2*x + d*k - 373, 4 = k. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 4 - 11) + (-275 - -261)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from {p: 1, l: 2, q: 2, f: 2, u: 5, j: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27621261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-176)\/2 - (-2)\/2. Let c = l + 45. Let i = 52 + c. Calculate the greatest common divisor of 110 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 843, 1692, 2541, 3390, 4239?\nAnswer: 5088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 249\/27 + (112\/(-18) - -6). What is the second derivative of -9*y**5 + 23*y**5 + 7*y**4 - k*y**5 - 45*y + 238*y wrt y?\nAnswer: 100*y**3 + 84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70650357782 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1229204, -1229205, -1229206, -1229207, -1229208?\nAnswer: -1229209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 231 and 4686?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-144)\/(-32))\/((-1 - 4) + (-516901)\/(-103378))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 - -123203023?\nAnswer: 123202312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/4)\/((-66)\/88)*-11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -648 or 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbb when three letters picked without replacement from tbbgbgggbrggbbubtb.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4034978765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2266 divided by 13.\nAnswer: 2266\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 - 1 + 1 + (-5*m**2 + 4*m**2 + 0*m**2)*(4 + 1 - 1) - 15*m**2 - 17*m**2 + 8*m**2 in the form x + q*m**2 + s*m and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -229 - -458. What is the greatest common divisor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n. Let z(k) = k. Let h(s) = -6*s. Let p(w) = 6*h(w) + 33*z(w). What is p(b(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054416657 to the power of 1\/2, to the nearest integer?\nAnswer: 32472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 93*j**2 - 4*j - 26. Let q(k) = -k. Let s(u) = -l(u) + 4*q(u). Differentiate s(c) wrt c.\nAnswer: -186*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84822601*c**2 + 12655284*c?\nAnswer: 169645202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 632115 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83 + -44. Let t = c - -2. Let z = -2 + t. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 2\/9, -0.04, 1\/3, -3.\nAnswer: -3, -0.04, 2\/9, 1\/3, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2330400, -9321606, -20973618, -37286436, -58260060, -83894490?\nAnswer: -114189726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -37815*y**2 - 89*y + 14. Let c be f(-9). Round c to the nearest 10000.\nAnswer: -3060000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, q: 7}. Give prob of picking 3 q and 1 o.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80273?\nAnswer: 80273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 15, w: 3}?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 + 82. Let b(k) = k**2 - 7*k + 1. Calculate b(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14782517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 9. Suppose 3 + 1 = -4*y - 4*x, -5*y = -4*x - 4. Suppose -3*t - 92 + 98 = y. Solve 11 = -3*c + 2*g, g = -h*c - t*g - 31 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 942836.7 nanograms in kilograms?\nAnswer: 0.0000009428367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 2828\/145?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/(((-24)\/1428)\/((-10)\/(-14)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1576, -3074, -4572, -6070, -7568, -9066?\n\"Answer: -1498*r - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 - 501055*n**2\/2 + 62762274527*n\/2 + 439360473727\/2.\nAnswer: (n - 250531)**2*(n + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -12*h + 3*h. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 557, 5932, 11307, 16682?\nAnswer: 22057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -12*u - 16. Give y(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*a + 2*a. Let c(v) be the first derivative of 9*v**5\/20 + v**3\/3 + v**2\/2 - 57*v + 38. Let n(s) be the first derivative of c(s). Give n(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 78 = 3*w - 9*b, w - 14 = -3*b. Suppose 4*t - w*t = -76. Suppose v = -0*v + 4, 5*g + v - 424 = 0. Calculate the lowest common multiple of g and t.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d + 32. Let b(i) = 5*i - 30. What is 2*b(y) + 3*l(y)?\nAnswer: -2*y + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66929\/20856 + -2\/2607. Calculate the common denominator of z and 54\/56 - 10\/(-40).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**9\/1008 - s**6\/36 - 2*s**3 - 12*s**2. Let v(w) be the first derivative of l(w). Find the third derivative of v(g) wrt g.\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 281996 divided by -572.\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*t - 46*t = 0. Solve t = -5*b + 2*h + 14, -8*h = -5*h - 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 802 - 8*d**4 - 2*d**3 - 1557 + 3*d**4 + 776 - 6*d + 2*d**2 as w*d**3 + l + q*d**4 + m*d**2 + k*d and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 2, o: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1137 - 795. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 178.7335 + -144.727. Let c = -0.085 - -34.085. Let h = c - o. What is h rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.909 - -2170068.7863?\nAnswer: 2170067.8773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -1\/6 (b) 2 (c) 38370\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -4. Let c be o*((-4)\/2 + 0). Suppose g = -g + c. Calculate the remainder when 13 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10056 - -10056. Solve r = 9*w - 2347 + 2374 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 5:00 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3 = -2*x, 0 = -0*u + 4*u - 4*x - 4. Let n = 10 - 8. Let o be (3\/n)\/(3\/6). What is the closest to u in -5, 0.5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*y**4 + 13860*y**3 + 1038808*y**2 + 10695516*y + 9670518 = 0. Calculate y.\nAnswer: -663\/5, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.32709 + -3.67291. Is 0.1147 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18 - 5\/(15\/(-6)). Which is smaller: y or 21?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.3 (c) 32\/23 (d) 11.604\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000789415 rounded to seven dps?\nAnswer: 0.0000789","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -152*i + 143*i**2 - 133*i + 97*i - 134*i wrt i.\nAnswer: 286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(160)\/sqrt(5) + -4 + sqrt(32)) + -4)**2*-6.\nAnswer: -20736 + 7680*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, -140, -576, -1242, -2144, -3288, -4680, -6326?\nAnswer: -8232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1203 = 127*b + 822 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 18*y = -10. Let m be y\/3 + (-105)\/(-70). Let r(c) = c**3 + c**2 - c + 1. Let h be r(1). Is h less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9384 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 9. Let u be (4\/(-2))\/((-2)\/(-5)). Which is the closest to -3? (a) u (b) q (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/354 and 14\/17877?\nAnswer: 35754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**5\/20 - x**4 - 2*x**2 + 15*x - 3. Determine h(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/7)\/(f*(f**(-1\/2)\/f)\/f))**(8\/9))**(-5) assuming f is positive.\nAnswer: f**(-500\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/8 and -73\/1576.\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -171*t + 850. What is m(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/(-6)*(-2 + (-24 - -5)). Calculate the highest common factor of b and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 45*t - 7. Let f(s) = s + 2. Determine 10*f(a) + 2*r(a).\nAnswer: 100*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a + 23. Let n(o) be the first derivative of -o**2 - 16*o - 4. Let b(q) = -5*g(q) - 7*n(q). Give b(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(2\/19)))\/(g*g**(-3\/2)\/g)*g\/g**7*g**(-5)*g assuming g is positive.\nAnswer: g**(-327\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 6:10 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29.87 or 79?\nAnswer: -29.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/28 - 6\/8. Suppose -m - 2*x - 14 = 2*m, h = -2*m + 2*x + 4. What is the units digit of m\/6*48\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 0*m - 1\/21*m**3 + 1\/105*m**5 - 1\/735*m**7 + 0*m**4 + 0 - 4*m**2 + 0*m**6. Factor y(g).\nAnswer: -2*(g - 1)**2*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-6)*(3 - 11). Let l = j + 4. Suppose -3*y + 2*o = -2*o - 62, 0 = 2*y + o - 34. Solve l = 3*f + f - 2*v - 24, -4*f + y = v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**24*g*g\/g**(-15)*g)**34 assuming g is positive.\nAnswer: g**1428","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10)*1)\/((-49)\/(-35))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-63)*(-21)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-11271)\/(-39))\/17 - (46\/3 + -8)\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*g - 12, v - 3 + 1 = -5*g. Let q be 2\/(-7) + (-40)\/v. What are the prime factors of (q\/4)\/((-1)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16*-0.2792658\nAnswer: -4.4682528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 493575 and 37780?\nAnswer: 3729452700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1453017 + -1453017.1080061. Let i = -0.108 - w. What is i rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b - b - b)*(-b**2 - 3*b**2 + b**2) + 9*b**3 - 26*b**3 + 12*b**3 as w + v*b**2 + j*b + h*b**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109554.\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2232 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + (-5*(2 + sqrt(272) + -1) - (-4 + sqrt(272)*2*3)))**2.\nAnswer: -528*sqrt(17) + 32948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) - sqrt(288)\/sqrt(9))\/(sqrt(324) + 4*sqrt(324)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 6) to base 11\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**4 - z**4 - 5*z**4 + (2*z**2 - 2*z**2 + z**2)*(-7 + 5*z**2 + 7))*(-3*z - 5*z + 3*z).\nAnswer: -20*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89431241 to the nearest integer?\nAnswer: 9457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 22*y - 12. Let t be a(13). Let r = -61 + t. Suppose -20 = -3*g - 4*i, -2*g + 0*g + 5*i + r = 0. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 + -7 - ((137 - 175) + 20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a - 25. Determine w(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/124? (a) -4 (b) 0.5 (c) -2099\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 4*g = 14*w - 1958, -774 = -2*w + 3*g. Is 39 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2 - o + o. Let p(l) = -l. Let u(v) = -v**3 + v**2 + v - 2. Let f be u(2). Let b(t) = t. Let c(h) = f*b(h) - 3*p(h). Determine c(a(n)).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*205799.\nAnswer: -4939176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-123 - -122) + (1 - -80) - 25?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -811.0002?\nAnswer: -81.10002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2345.78 less than 85273160?\nAnswer: 85270814.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3555139 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/8 - 27*j**2\/2 + 135*j\/2.\nAnswer: 3*j*(j - 30)*(j - 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/69 and -89\/35826180.\nAnswer: 35826180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11)*-1 - sqrt(11))*4)**2 + -3.\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 + 4.3. Let u = -7 - n. Let d = -12 - u. Which is greater: d or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48404 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = -5*w. Suppose 23*z - 22 = 24. Suppose -2*h + 22*v + 18 = 25*v, 9 = h - z*v. What is the remainder when h is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - 6*v**2 + 3*v**2)*(-v - 2 + 2) - 12*v**3 + 8*v - 8*v.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - w - 13, m + 13 = -0*m - 4*w. Suppose 15 = 2*c + m*c. Suppose -2*i = 5*s - c*s - 44, 4*i - 84 = -2*s. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - x + 1 = -6, 0 = -3*x - 6. What is the first derivative of -3 - 3*g**2 + r*g**2 + 3*g**2 wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84864653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = 2*r + 3*r + w, 4*r = -w + 312. Let o(m) = 3*m + 4. Let b be o(-2). List the prime factors of b\/13 + 14364\/r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8259414?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 363.316 times 0.38\nAnswer: 138.06008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*4\/((-8)\/(-78)). Suppose q + 2*t + t = b, 0 = -5*q - 5*t + 165. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 163 - 97. Let z = 33 - -1. What is the remainder when f is divided by z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 37, 42, 31, -2, -63?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 4095342614 + 4095342614.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/12*261\/4. Let h = q + 18. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -34*d**3 - 2*d**2 - 4. Let k be a(-2). Calculate the highest common factor of 78 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 297526*w**4 + 280071.\nAnswer: 1190104*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 2*p**2 + (-2*p + 2 + 0 - 3)*(10*p - 95*p - 38*p) + (0*p - p + 4*p)*(-4*p + 0*p + 3*p) as v*p**2 + q + g*p and give v.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 248 = 47. Let f(r) = 31*r - b*r + 2*r**2 + 28*r. Let j(h) = -h. What is j(f(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -8 + 10 - (-4 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -7*u**4\/12 - 350*u**2. Let d(v) = 2*v**2. Determine q(d(j)).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 19*b**3 - 30*b**3 - 22 - 2*b + 10*b**3 in the form q*b + l + o*b**3 + w*b**2 and give l.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 53. Let p be ((-5)\/(-45))\/((-2)\/185223)*z. Let h = 10265 - p. Find the common denominator of -23\/22 and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(242)*-2)**2 - sqrt(242)) + 1 - (-1*2*sqrt(242)*1)**2.\nAnswer: -11*sqrt(2) + 1937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 638673 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26\/8 - (-2)\/(-8). Suppose -a*w + 2*f - 21 = 2, -5*f + 40 = -5*w. Is w + 33 - (2 + 0) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.7? (a) -4 (b) -0.3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 5*d - 2. What is the smallest common multiple of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3 - 0. Let j be (0\/1)\/((-2)\/(-2)). Suppose -4*b = 5*c + 1 - j, c + 1 = 0. Put -8, b, x in decreasing order.\nAnswer: b, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7646431, -5, 3, 19 in increasing order.\nAnswer: -7646431, -5, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7246194 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -s - 6. Let n(r) = r**3 + 2*r**2 - 4*r + 18. Let p be n(s). Which is the nearest to 0? (a) -1\/3 (b) p (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.15209 * -4.\nAnswer: -4.60836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.8 - -5. Let p = 3.2 - d. What is the second biggest value in p, -1\/3, 8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**2 + n. Let v(u) = 4*u. Let z(d) = -9*d. Let x(g) = -3*v(g) - z(g). Determine j(x(q)).\nAnswer: 45*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**3 + 572*f**2 - 4 + 0*f**3 - 566*f**2 + f**3 - 3 + 3 + (-f**2 + 0*f**2 + 3*f**2)*(-3 + 3 - 2*f) + 2*f**3 + f**3 - f**3.\nAnswer: -5*f**3 + 6*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, -18, -4, 1 in descending order.\nAnswer: 70, 1, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -259*o**3 - 145*o**2 - 121845*o?\nAnswer: -1554*o - 290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -954.2 - -957. Which is smaller: h or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -35*m**2 - 49*m - 49. Let y(v) = 3*v**2 + 4*v + 4. Give -4*w(c) - 49*y(c).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 589387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3 - 0.3. What is the smallest value in b, 5, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**5\/19 - 19750*u**4\/19 + 992412*u**3\/19 - 873884*u**2\/19 - 4803994*u\/19 - 2917950\/19 = 0. What is u?\nAnswer: -9925, -1, 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261432.\nAnswer: 2, 3, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 252 and 69636.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from oonnnny?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.408259 rounded to 1 dp?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -320*h*p**3 + h*p**2 - 3*h*p - 2562*h + 93*p**3 - 2*p**2 + 173 wrt p?\nAnswer: -1920*h*p + 2*h + 558*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 6*p**2 + p + 2. Let k be o(6). Let f(u) = -4*u**2 - 7*u - 3. Let j be f(-5). List the prime factors of j\/k*(-4)\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 77*s + 286. What is u(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -24, -160, -558, -1350, -2668, -4644, -7410, -11098?\n\"Answer: -22*m**3 + m**2 + 15*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 742535 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -8. Let p = t + -14. What is the lowest common multiple of p and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -3. Suppose 4*x - 4*w = 0, 2*w - 34 + 6 = -5*x. Let s be (-6)\/(-4) - 18\/x. What is the nearest to u in -1\/4, -1\/3, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84788, 169610, 254456, 339332, 424244, 509198?\nAnswer: 594200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39128589 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u = 73 - 50 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5999*h + 227. Is u(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 6)*(0 + 0 + 2)*(-z**2 + 2*z**2 + z**2) - z**2 - 2*z**2 - 2*z**2)*(69 + 9 + 70 + (0 + 2 - 1)*(1 + 0 + 0) + 2 + 2 - 3 - 4 + 5 - 3).\nAnswer: -1924*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6917, 13760, 20603?\n\"Answer: 6843*b + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*w - 43*w - 6 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -723 + 725. Sort -4\/3, z, 0, 40 in ascending order.\nAnswer: -4\/3, 0, z, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*o**4 - 608\/5*o + 2304\/5 + 18\/5*o**3 - 96\/5*o**2.\nAnswer: 2*(o - 4)**2*(o + 8)*(o + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 + i**3 + 2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + sqrt(99) + 2 + 2 + 5 - (3 + (sqrt(99) - (sqrt(99) - -3*sqrt(99)))*2)) + 2)**2*4*5.\nAnswer: 7680*sqrt(11) + 128000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*x**4 + 3*x**2 - 3*x**2 + (-5*x**2 + 4*x**2 + 0*x**2)*(2*x**2 + 2*x**2 - 6*x**2).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -21. Suppose b*s - 7 = 41. Let t(j) = j - 7. Let k be t(s). Solve m - k*i = 4, 6 = -2*m - 3*i + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-58)\/14 + (-2)\/(-14). Which is the third smallest value? (a) d (b) -0.05 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2732*y - 203. Let z(n) = -1366*n - 101. Let a(l) = -4*j(l) + 9*z(l). Is a(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 7. Find the third derivative of -8*h**3 - 13*h**3 - j*h**2 + 27*h**3 wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from jhhjjhjhjjhhj.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4602702 - 92?\nAnswer: -4602794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 15 = -4*a. Let n(l) = -415*l**2 - 410*l**2 + 830*l**a. Let b(z) = z**2. What is b(n(f))?\nAnswer: 25*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) + 2 + -5 - sqrt(5))) + -2 + -2*(sqrt(5) + ((sqrt(5) - (2 + sqrt(5)))*6)**2).\nAnswer: -287 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**3 - i + 1. What is c(-2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1)*(-13 - 5 + 3)*(d + 2*d - 2*d)*(-7 + 7 - 8*d**3) in the form i*d**4 + k*d + o*d**2 + v*d**3 + s and give i.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**2*b*b\/(b\/b**(4\/7))*b**(-8)\/b**2 assuming b is positive.\nAnswer: b**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 20. Suppose 3*a + 4*v = d*a + 16, -2*v - 80 = 5*a. Let p = 16 + a. Solve p*q = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**7\/630 + f**5\/10 - 2*f**2. Let n(o) be the third derivative of x(o). What is the tens digit of n(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.38 - 0.08. Suppose j - 2*d - 9 = 0, 2*d - 34 = -5*j - 13. Put y, j, 4 in descending order.\nAnswer: j, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15760 is divided by 164.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 2 - 7 - 3, -3*s + 18 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + u - 10, 2*y - 9 = 3*u. Let s = 5 + y. Factor -i**2 - 10*i**3 - 14*i**s + 20*i - 11 + 16 + 15 + 5*i**4.\nAnswer: 5*(i - 2)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37.99 - 0.01. Let a = l - -37.924. What is a rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455846759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -8. Let c(a) = 2*a - 4. Let o be c(m). What is the greatest common divisor of 22 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1257, -1269, -1307, -1383, -1509, -1697?\nAnswer: -1959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, y: 3, i: 2, t: 4, s: 2}. Give prob of sequence yi.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**3 - 3*g**2 - 3*g - 1. What is w(-2)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 284 - 296 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262969 is divided by 8765.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1127 divided by 2?\nAnswer: -1127\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**18)*y)\/y**(-5\/7))\/(y**21\/y*y**(-10)))**(4\/13) assuming y is positive.\nAnswer: y**(-736\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -10011011100000?\nAnswer: 10011011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 5*m - 3. Let j be 2 - 3\/2*(-190)\/(-57). Calculate r(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(448) + 2)**2 + sqrt(35)\/sqrt(5) + 4).\nAnswer: 165*sqrt(7) + 2280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(3024) + (sqrt(3024) - (2*sqrt(3024) + sqrt(3024))))*6)\/(((sqrt(77)*-1 - sqrt(77))*-2)\/(-2*sqrt(891))) + 5.\nAnswer: -1296*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 4, -8 in descending order.\nAnswer: 4, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 62727618 divided by -6\nAnswer: -10454603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294 and 84966?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 take away 127566533766.07?\nAnswer: -127566533766.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2193*n**2. Let a(s) = -304*s + 2*s**2 + 148*s + 156*s. Determine w(a(j)).\nAnswer: -8772*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34\/35 + 4\/7. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 8*a + 20. Calculate f(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4635.56 + -4636. Which is the closest to d? (a) 3\/8 (b) -6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*sqrt(65)\/(sqrt(10)\/sqrt(2)) + -2)**2.\nAnswer: 20*sqrt(13) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 84. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 5*d**2 + 5*d + 7. Let u be q(6). Let a be 2\/1 + u\/1. Suppose 4*t + 6*c - 2*c = 36, 4*c = t - 4. Solve -a*s - t = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9125212, -18250422, -27375632, -36500842, -45626052?\nAnswer: -54751262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20 - 9*o + 13*o + 89 - 23*o**3 wrt o?\nAnswer: -69*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -74 + 286. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*m - 30, 5*m + 0*v - 30 = -2*v. Calculate the highest common factor of 42 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 24*o**7\/7 + 344*o**3\/3 + 428. What is the third derivative of x(g) wrt g?\nAnswer: 2880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 21*m - 4. Let r(c) = -5*c + 1. Let s = 32 + -65. Let p = s + 31. Determine p*d(q) - 9*r(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*r**2 + 2\/7 + 3\/7*r.\nAnswer: (r + 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 7 - 420*q - 589*q - 9 to m*q + z and give m.\nAnswer: -1009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 3933332?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -25*b**2 + 111*b + 7772. Determine g(20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 86\/(-9245)*((-14)\/12)\/(-1)*(-35)\/49\nAnswer: 1\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 609 - 606. Suppose 4*s + 5*b - 115 = l, 5*b = 3*s - 71. Calculate the remainder when 58 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*b + 5*b - 20, -p = 5. Let d(f) = -f**2 + 39*f - 140. Let n be d(4). Solve k + 2*w = -n*k - b, -3*w = -k + 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttd when three letters picked without replacement from {t: 3, d: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 689\/333*1 + -2. Let i = 6421\/111 - z. Let u = -58 + i. Put 0.2, -0.3, u in descending order.\nAnswer: 0.2, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28638.29 to the nearest one hundred.\nAnswer: 28600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {y: 1, v: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*r + 1052 = 1500 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + 1245*x + 165548. Calculate z(-430).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5)\/((j**(4\/3)\/j)\/j))\/(j**3*j\/j**0))\/(((j\/(j**(4\/3)*j))\/(j*j**(-4)))\/((j\/j**(5\/3))\/(j\/j**(-3)))) assuming j is positive.\nAnswer: j**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 384\/(-10) + 324 + -38 + -251\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 + (1 - 0 - (-10 + 12)). Suppose 5*o = -s + 40 + 12, 18 = 3*o + 5*s. Let h = 19 - o. What is the greatest common divisor of h and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643906 is divided by 57?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a meter in millimeters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 736 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23813844 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/24 and 101\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184680 and 304.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 9*k + 64. Let c(b) = -5*b + 1. What is -4*c(m) + d(m)?\nAnswer: 29*m + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 + u**4 - 3*u**4)*(-3*u - u + 6*u)*(-1 + 2 + 1)*(4178 + 4393 - 8367).\nAnswer: -1632*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 377*z - 12528592 + 12498432 for z.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 54*k**6 - 3359*k**3\/3 - 6*k - 187. Find the second derivative of y(h) wrt h.\nAnswer: 19440*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33356 is divided by 6669?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4 - 5925*v**3 - 6382936*v**2 = 0 for v.\nAnswer: -931, 0, 6856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 10*n + 2. Let l be i(-7). Let u = 16 - l. Suppose -3 + u = 4*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) 0.3 (c) 0.4 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139 - -121. Let i be (f\/(-15))\/(69\/15 + -4). Solve k = -i*h, h = 4*h + 5*k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 0. Let v = -0.1 + 0.1. What is the smallest value in v, 1\/2, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1380*k - 4 - 1385*k + k**3 - 4 + 4*k**2. Does 12 divide s(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 5:04 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10)*-3)\/(15\/50).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9\/13980091?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -24 - 13.2\nAnswer: -37.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 514541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -16, -1\/7, -0.3, 1\/6, -2, -0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 4)*(-3*c + 4*c - 3*c) - 3*c - 22*c - 86*c as p + y*c and give y.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4301696 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 13*h - 48 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*q**2 + 8\/3*q - 8\/3.\nAnswer: -2*(q - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 233330*y**2 - 5*y + 233330.\nAnswer: 5*(y - 46666)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 30*t**2 + 1349*t + 1227. Let h(q) = -7*q + 3. Let n(s) = -b(s) + 4*h(s). Factor n(m).\nAnswer: -3*(m + 45)*(10*m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**2 - 7 + 8 + 5*r - 2*r - 3*r**2. Is 13 a factor of p(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**4 - 8880*f**3 - 17705*f**2 + 62070*f - 35480 = 0.\nAnswer: -1774, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 20355?\nAnswer: 40710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b9755 (base 12) to base 6.\nAnswer: 125124545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 773*o**3*u**2 + 15757*o**3*u + 10*o**3 + 554*o**2 - 33*o + 1 wrt u?\nAnswer: 1546*o**3*u + 15757*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5 + 7108*j**4 - 7870104*j**3 + 1981370160*j**2 + 820324986624*j.\nAnswer: -2*j*(j - 1254)**3*(j + 208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = 4*y + 31. Let z be (-112)\/y - (6\/2)\/15. Solve 0 = -2*n - z*n + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 16) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2533\/298*-1*2\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 h when three letters picked without replacement from hqcbqubchuchxq.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + c**2 - 4 - 158*c**2 - 11570 + 11570 + (3*c - 2*c - 3*c)*(c - 3*c + c) to the form p + v*c**2 + s*c and give v.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 3:09 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5 = 3*u, -6 = -3*m + 6*m. Let q = 9.1 - -6.9. Let g = q + -12. Which is the closest to u? (a) -3 (b) g (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 3, y: 4, x: 13}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 405, 0.3, -1\/5?\nAnswer: 405","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2966 times 807?\nAnswer: -2393562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -208, -910, -2080, -3718, -5824, -8398, -11440?\n\"Answer: -234*l**2 + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3550 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*m + 172 + 220 = -472 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8113274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3110*h*k**3*y**2 - 77*h*k**2 - 6*h*k*y**2 - 2*k**2*y**2 wrt k?\nAnswer: 18660*h*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 24 - 18)*(-u**4 + u**4 + 5*u**4).\nAnswer: -325*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414544091 to the power of 1\/2, to the nearest integer?\nAnswer: 37610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207, 138, -33, -354, -873, -1638?\nAnswer: -2697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 + 522*b + 523. Let a be x(-173). Solve 0 = -2*t - 5*d + a + 21, 0 = 4*t + 3*d - 29 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2016\/30 - (-4)\/(-20). Let u = 71 - z. Solve -20 = u*t - 3*t - 5*x, 2*x = 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millisecond in microseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*v**2 - 121*v**3 + 121*v**3 + 3*v**2 - v**5 wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143454500.\nAnswer: 2, 5, 7, 17, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = m, 4*r - 6 = m + 2. What is the third derivative of -17 + 30*j**r + 17*j**2 - 46*j**2 - 50*j**3 wrt j?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - -20) + 8 + -1 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 (base 5) in base 4?\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67766 + 43695. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 9:18 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-7))\/(7\/147*6).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -1 - (-97 + 70810\/679)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.758 rounded to 2 decimal places?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqcccccbbqqqqccc. What is prob of picking 1 c, 1 q, and 2 b?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 10 = -p, -t - p = -113680 + 113664 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 236.7 + -226. Let a = 17.7 - z. Is 1\/4 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2148020520.\nAnswer: 2, 3, 5, 163, 193, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnw when four letters picked without replacement from nnngxgwiwwwwnnwwgwx?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (306\/51 - (-46)\/(-8))*36\/(-234)\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10718569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4e - 5?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/10 and 25\/88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 144552 or 289103\/2?\nAnswer: 144552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -33 - 40454\/(-678).\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 9*t - 44 - 10*t)*(1 + 0 - 8 - 1).\nAnswer: 8*t + 352","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.4 + 277.\nAnswer: 288.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.091, -0.3, -2\/9, -13.\nAnswer: -13, -0.3, -2\/9, -0.091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1474, -1475, -1476, -1477?\n\"Answer: -v - 1473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 19 = 31. What is the greatest common divisor of q and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15439159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 - (6 + (-8 - (-10 - -6) - 3) + 1).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3705, -3702, -3689, -3660, -3609, -3530?\nAnswer: -3417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563152 is divided by 227.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*r - 0*r - 29, 3*r = -9. Solve t*p - 13 = -5*g + 14, -4*g + 27 = 5*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374\/25 > 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.695970218 times -0.1?\nAnswer: 0.0695970218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35156 and 609664.\nAnswer: 487121536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1575 + 2970. What are the prime factors of g?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlolrlloollolllrll. Give prob of picking 1 o and 1 l.\nAnswer: 44\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 43166 and 642.\nAnswer: 43808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q. Let f(c) = 264*c + 20. Determine -f(b) - 20*u(b).\nAnswer: -224*b - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -127, -186, -243, -298, -351, -402?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 683854, 683757, 683660, 683563, 683466?\n\"Answer: -97*b + 683951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -43*v**2 + v - 1. Let g(b) = 43*b**2 - b + 1. Let j(h) = -3*g(h) - 4*m(h). Does 22 divide j(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 470\/(-40) - (-2)\/(-8). Let v = m - -31. Calculate the greatest common divisor of v and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.42 - -0.42. Let r = 15 - h. Let v = -40.8 + r. Round v to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4342 (base 15) to base 2.\nAnswer: -11011110011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h**2. Let w(o) = -9*o**2 + 17*o**2 - 2*o**2 - 11*o**2. Calculate w(n(f)).\nAnswer: -320*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 7*y**2 + y + 4 - 2*y - y**3 + 2*y**2. Suppose 4*f - j + 12 = -1, -2 = 2*f - 2*j. List the prime factors of i(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(85\/(-51)*(-30)\/(-290))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -1)*(-85)\/(-255).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*k**2 - 1\/2*k**4 + 1\/2*k**5 - 1\/2*k**3 + 0*k + 0.\nAnswer: k**2*(k - 1)**2*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(2*sqrt(12)))\/(2*sqrt(21)\/sqrt(3)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 4 (c) -21 (d) -1\/139 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 765562 + -472919. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5 - 61*s**4 - 12414*s**3 - 279112*s**2 - 2227712*s - 6031872 = 0.\nAnswer: -68, -9, -8, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) 4 (c) 0.9 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**4\/12 + 1007*a**3\/2 - 3388*a**2 + 6*a - 324. Differentiate y(x) wrt x.\nAnswer: 2*x + 3021","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 + 36 = -34*a. Suppose a*p = 8*p + f - 36633, -p + 7335 = -4*f. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -3377\/86538 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 1) + (4 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(448) + -4 + -2*sqrt(448) + -3)**2.\nAnswer: 80*sqrt(7) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**2 + 5*w**2 - 2 + 20*w**3 to r + f*w**2 + b*w**3 + h*w and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -4.6. What is the nearest to -1\/2 in o, -3\/4, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by 4329?\nAnswer: 53\/4329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - k + 0*k = 17, 5*q = -4*k + 49. Suppose t + 0*t + 3*g = -q, 3*g + 21 = 3*t. Let b be (-7499995)\/30 + t\/(-12). Round b to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433610831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/48 and -47\/10294144.\nAnswer: 30882432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1122 and 179110685.\nAnswer: 179111807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19132 + -19137. Put 0.61, -0.2, 1\/5, y, 3 in descending order.\nAnswer: 3, 0.61, 1\/5, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-2)*(-2 + -1). Let z be ((845\/(-15))\/13)\/(4\/12). Let v = t - z. Solve v*c = -0*c - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**3 - 9751325*y**2 - 19502670*y = 0.\nAnswer: -2, 0, 1950267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 203896160 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*b = 88*b - 456. Suppose -9*m + 255 = -b. What is the remainder when 489 is divided by m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 2. Suppose o + 5*l = 35, -3*o - o - l + 45 = 0. Suppose -4*k - 2 = -o. Let w be n(k). Put -4, w, -7 in ascending order.\nAnswer: -7, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 60792243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from {f: 2, o: 4, d: 2, x: 1, g: 6}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 + h**3 + 4*h**2 - 3*h - 8 + 2 + 4*h. Is z(-5) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -14, -9, 6, 1 in decreasing order.\nAnswer: 6, 1, -4, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 10*p + 32706 = 0. Round p to the nearest one hundred.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -51*(-3)\/(-9) + 12. Put -27, 103, w in descending order.\nAnswer: 103, w, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1561489952 to the nearest integer?\nAnswer: 39516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b - 316 + 454 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-134 - -139)\/((-50)\/190) - (-724)\/38\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 3*c + 2*c)*(-1 + 3 + 0) + (-c + 0*c + 0*c)*((4 - 1 - 2)*(-3 - 2 + 1) + 453 - 254 - 1786) in the form z + k*c and give k.\nAnswer: 1593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-784)\/(-952)*3\/(-21)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 784\/(-490)*(-5)\/(-12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 + 954\/6*(-4)\/(-3) is divided by 109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1470 in 2\/7, 27, 4?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqyqyqiqrryyii. Give prob of sequence yrr.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -0*n - 66. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfmofolloofolkmoflo. Give prob of sequence olmm.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from yfcnnc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 3. Let w be h(4). Let y = w + -2. Suppose -5*t + 70 = -y*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 8:16 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688 is divided by 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven fifths of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*s + 0 - 13*s + 5*s + 4*s + s + 1 - 1 + (-3 - 2 + 3)*(0*s + 2*s - 3*s))*(-2 - 2*s + 2) to t + p*s + r*s**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j - 29. Let w be r(-11). Solve -18 = -w*f + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99919428 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(1\/4) - 2. Let p(b) = 0 - 6 - 9*b - b**2 + 0. Let k be p(m). Solve 5*s + 5*z = -25, -k = 3*z - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 149721, 299139, 448557, 597975, 747393, 896811?\n\"Answer: 149418*s + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.23 - -2.13. Which is the nearest to k? (a) 1 (b) 3 (c) 12 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 17*m - 29. Let w be k(6). Let h = w - 19. What is the highest common factor of h and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-10) + 2\/5. Let x be 8 - (-1*2 + q). Suppose -2*n - s + 7 = 0, x*n - 3*s - 9 = 4*n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 18 = -7. What is the third derivative of -2*n**6 - 4 - 1 + z - 2*n**2 wrt n?\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3866, -15944, -36236, -64748, -101486, -146456?\n\"Answer: -c**3 - 4101*c**2 + 232*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 526405744?\nAnswer: 526405740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -1312, 608 in descending order.\nAnswer: 608, 2\/3, -1312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255361.72 less than 738.502?\nAnswer: -1254623.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 18*b - 324. Let l = b - 108. Solve l*d = -d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*x - x + 5, 0 = -4*x + 5*d + 5. Suppose 4*l + l - 15 = x. Suppose -4 - 2 = -l*w. Is 2 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 4*n**2 + 1844*n + 14721. What is u(-8)?\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 3\/8, -7\/18, -2?\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00240948317 rounded to five decimal places?\nAnswer: 0.00241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 253 and 146861.\nAnswer: 3377803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g - 13. Calculate l(14).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 > -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27437875 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: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from {z: 2, c: 7, p: 5, v: 2, s: 2}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, u: 2, y: 1, z: 2, k: 4, f: 4}. What is prob of sequence yfk?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -176 or -157?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h - 13. Let a(p) = -p. Determine a(m(t)).\nAnswer: 2*t + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 12*j. Let s(a) = -a. Suppose -11 = 3*m - 2*m + b, -49 = 4*m + 5*b. Let i(k) = 10*k. Let n(h) = m*s(h) - i(h). Give n(w(g)).\nAnswer: -48*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 + -26 + 15)*-853. Is -858 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89\/35 - 15\/7. Let i = 79.33 - 78.33. Let f = 2.5 - 3. What is the biggest value in f, i, 0.3, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(((5\/(-2))\/(-1))\/(21197\/5170))?\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -j - 50. Suppose -20 = -3*s + j. Suppose 5*a + s = 20. Solve 3*i = -5*c + 3, -4*c - 3 = -a*c - 3*i for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 16. Let x be j(10). Let z(h) = 5*h - 11. Let r(n) be the first derivative of -3*n**2\/2 + 6*n - 21. Calculate x*z(u) + 11*r(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/((u*u**(2\/13))\/u))\/u))\/u**(-12)*u\/(u**(-5\/3)\/u)*u\/(((u**(2\/29)*u)\/u)\/u))**(-34) assuming u is positive.\nAnswer: u**(-721072\/1131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -a + 2 - 3, -a = -4*c + 3. Suppose -d + 7 = -3*r, -4*d - d + c*r = -22. Solve -5*n + v = 8, -3*n = -d*v + 13 + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-5 + sqrt(72) + -5*sqrt(72))**2 + (-4*-4*sqrt(72))**2).\nAnswer: -58827 - 720*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*x = 243*x - 3708 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06676 less than or equal to -4\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - 0)\/(10 - (-170)\/(-20)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12, -2\/11, 3 in increasing order.\nAnswer: -2\/11, 3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*p = -140, 4*s - p - 60 = 3*s. Calculate the remainder when s is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6071378l to millilitres.\nAnswer: 607.1378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = 12*n + 8*b - 13, -7*n - 2*b = -3*n + 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3066385?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 6:53 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty sevenths of a week in days?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32, 45, 58, 71?\n\"Answer: 13*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 27. Suppose w*m = 3*m + 1892. Suppose 19*c = 18*c + m. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - d + 0)*(1 + 3 - 6)*(-4*d - 4*d + 6*d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**2 - 78*c - 40. Calculate l(23).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4946146109 to the nearest integer?\nAnswer: 1704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -10, 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -339, -510, -683?\nAnswer: -858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -177, -266, -355?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125229059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -17106 divided by -30\nAnswer: 2851\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 12*m**2 + 161*m - 665. Give f(4).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 4*a - 20, 2*a = 3*a + 1. Suppose -l*w + 1 = -j, 5 = 3*j - 4*w - 0. What is the remainder when ((0 - 1) + 0)*-5 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Let r(b) = -6*b + 6 + f + 5*b. Let x be r(7). Solve -n + x = -4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(-1*sqrt(144)\/sqrt(12)) - (sqrt(21)\/(sqrt(3) + sqrt(48)) - (0 + sqrt(7))*2)**2.\nAnswer: -567\/25 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 9*g - 10. Let v = 2 - -11. Is 12 a factor of o(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -148, -148, -146, -142?\n\"Answer: o**2 - 3*o - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (200*y - 684*y - 390*y - 35 + 35)*(0 + 5 - 3).\nAnswer: -1748*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 11*x + 4*x + 5*x)*(2*x**3 - 7*x + 7*x).\nAnswer: -4*x**4 - 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -9\/563?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71 or -35\/3?\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 16203*k - 5346991. Give y(330).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - (370\/(-45) + 3 + 50\/(-18)). Solve -9 + 0 = 3*v, 2*r + 10 = -d*v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 8 + 8)*(-359*q + 147*q - 2 - 385*q) as j*q + t and give j.\nAnswer: -6567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - z. Suppose -5*t - 2*k + 112 = 0, 2*k + z + 8 = 0. Calculate the greatest common divisor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 2133 - 9081 = -6*a. Solve a*v - 520*v = -14 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3330096 and 5474?\nAnswer: 76592208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 6*i + 7. Let a be x(5). Let h be (88\/6)\/(a\/18). Let p = 1716 - 1714. Calculate the greatest common factor of h and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/10 and -4\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2501438 divided by -2501438\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 12*y**4 + 5*y**3 - 7. Let s(f) = -f**3 - 167*f + 1 + 167*f - f**4. Let a(l) = -r(l) - 5*s(l). Differentiate a(v) wrt v.\nAnswer: -28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*o + 68*o + 8*c = -1180, -2*o - 5*c - 65 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 25*c**2 - 427*c + 1296. Calculate k(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3112 and 48236?\nAnswer: 96472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 934*g - 929*g + 15 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-12)\/(0 + -4). Let i(w) = 0*w + w + w**2 + 2*w + 6 + 3. What is the remainder when i(j) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60 (base 10) to base 2.\nAnswer: -111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -1 (b) -1\/3 (c) 0.3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10\/17 + -43\/102. Let v(w) be the second derivative of x*w**4 - 1\/6*w**3 + 0 - 3*w + 0*w**2. Find the second derivative of v(f) wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64*i + 90*i**4 - 102*i**4 + 59*i + i**3 + (i**2 + 1 - 1)*(2*i**2 - 3*i + 3*i) - 2*i**4 + 3*i**4 + 2*i**4.\nAnswer: -7*i**4 + i**3 - 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2120, -8621, -19458, -34631, -54140?\nAnswer: -77985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r. Let c(f) = 10035*f - 9. Calculate a(c(m)).\nAnswer: -20070*m + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 69959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57.1 - 68. Let s = a + -0.1. Let j = -13 - s. What is the second smallest value in 4\/9, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -27 (b) -1\/7 (c) -194\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -p - 5*q + 5, 26 = 5*p - 4*q. What is the derivative of -p*k + k + k - 2 - k**2 wrt k?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.5 (b) 4\/5 (c) 294 (d) 0.054\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.54518 centimeters to meters.\nAnswer: 0.3754518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 3:47 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 6*v + 1. Let b(z) = 61 + 9 + 19 - 7*z + 58. Let m be b(20). Determine q(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/((-18)\/(-9)))\/(70\/(-952)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3*x + 105 = 0, 0 = -2*k - 48*x + 8284 - 10162 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v - 30 - 122 = 0. Which is the third biggest value? (a) v (b) 6 (c) 22\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/61, 4\/3, 11 in descending order.\nAnswer: 11, 4\/3, 2\/61, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -11.13.\nAnswer: 33.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 49650000 to the nearest 1000000.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8190 + -5615. Suppose 1225 = 4*p - 2*f - b, p + 4*f = 932. Does 27 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q + 4*b - 2068 = -21*q, 5*b = 4*q + 4154. Is q < -1046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 1345*v + 220608. Give m(-164).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 10:55 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * -434213.\nAnswer: -477634.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 0 - 8\/11*i**2 - 2\/11*i**3 + 3\/55*i**5 + 7\/66*i**4 + 85*i + 1\/165*i**6. Solve y(g) = 0.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 8 = 3*s. Let c be (-21)\/9 + s\/(-6). Put 3, c, -1 in descending order.\nAnswer: 3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 105. Let d = 56 - m. What is the third smallest value in 4\/9, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5336*t. Let x(j) = 2*j**2 - 8. Calculate x(b(h)).\nAnswer: 56945792*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + p)*(-18 - 5 + 3) + 49*p - 7 - 8 - 50*p as l*p + n and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 72 - 78 = 0, 237410 = i - 3*d. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 - 14 + 16 - 7*g**2 - 27*g**3.\nAnswer: -27*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 3:44 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3.5. Let z = 61 + -367\/6. What is the nearest to 2\/3 in z, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -17*d - 5. Suppose -3*a - 2*p - 3*p - 10 = 0, -30 = -2*a + 4*p. Suppose -11 = o + 2*b, a*b + 0*b = -2*o - 25. What is the tens digit of j(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1470)*-2*-3 + sqrt(1470))*5)\/(3*-6*(sqrt(810) - sqrt(810)*-1)).\nAnswer: -245*sqrt(3)\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 148 = -28. Let r(n) = -n**3 + 6*n**2 - 5*n + 4. Calculate the lowest common multiple of r(4) and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, -5, 5, 104, -23, -20 in ascending order.\nAnswer: -23, -20, -5, -3, 5, 13, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 285211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - 0.2. Let j = -0.2000013 + g. What is j rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**4\/3 - 2099*q**3\/3 + q**2 + 6299*q\/3 + 4198\/3 = 0. Calculate q.\nAnswer: -2099, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o + 17. Let c be r(4). Differentiate 34 - 28*u - 1 - c*u - 57*u wrt u.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yscycatyy. What is prob of picking 1 t, 1 y, and 2 c?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**3\/9 + 5*l**2\/2 + 14*l\/3 - 21. Factor r(c).\nAnswer: (c + 1)*(c + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.033 - -0.067. Let p = 1625845747\/1014 - 1603398. Let c = -1\/169 + p. Put x, 1, c in increasing order.\nAnswer: x, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -10. Let f = 758 + -359. Let t = f - 403. Which is greater: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -4*l - 61, 994*c = 990*c + 52 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 393, 603, 829, 1077, 1353?\nAnswer: 1663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -19*f**4\/4 + 4*f**3\/3 + 2*f**2 + 170. Let i(k) = -132*k**3 + 27*k**2 + 27*k. Give 4*i(v) - 27*p(v).\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 278b74?\nAnswer: -278b77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b - 1. Let i(t) = -t - 1. Let y(u) = d(u) + 2*i(u). Let p(j) = -11*j - 4. Let l(h) = -5*p(h) + 6*y(h). What is the derivative of l(x) wrt x?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 590240\/271 - 2178. Let z = 5558 + -5558. Which is greater: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -9 (b) -32 (c) 2 (d) -1\/7 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 0.6, -7, 4\/7.\nAnswer: -26, -7, 4\/7, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 12:54 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 i, and 2 b when four letters picked without replacement from jrpqirbb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -27, 0 in decreasing order.\nAnswer: 0, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -3\/7, 4371477?\nAnswer: 4371477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 477785387 to the power of 1\/3, to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*c - 2*q - 308 = 0, 4*q + 304 = 3*c. Suppose -4*a - c = -2*d + 56, 0 = -2*a + 10. Find the common denominator of 273\/d*(-30)\/12 and -19\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.363 rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1372398439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 4*i - i - 4, 0 = n + 4*i + 12. Let q(s) = 10*s**2 - 5*s + 13. Let p be q(n). What is the highest common factor of 17 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1371130 is divided by 22115.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/17613 and 20\/5871.\nAnswer: 17613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -11*x**2 - 10*x + 66. Let l(s) = -s**2 - s + 8. Let m(u) = -8*l(u) + q(u). What is m(-4)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 + y + 4. Let x(c) = 1. Determine 6*x(q) - z(q).\nAnswer: -2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v + 2. Let u be n(-4). Let w be 0 - (1 - 441\/u). Let g = w - -76. Sort -2, g, 0 in decreasing order.\nAnswer: g, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -29. Let j = 899\/55 - 182\/11. What is the second biggest value in -3, j, -30, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 6*o. Let i be -3 + 3\/2*-2. Let r be n(i). Suppose 5*g - 91 = 4*k, 3*g + r*k - 61 = 4*k. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) -3 (c) 5 (d) -1 (e) 172\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 9:32 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 309766085147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(11) + 0 + 0)) + 4)**2*2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 8:32 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - 7*g**2 - 6*g**2 + 12*g**2 + 2*g + 7 - 3*g in the form l*g + x + p*g**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*q**2 + 32*q**2 + 0 - 22*q**2 + 0.\nAnswer: -26*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 969090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-13 - (8 - 13)) + 2 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3537611?\nAnswer: 7, 11, 45943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21098 - 21328 + 39346 = 35*o for o.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5 + -14 + (0 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 153*i**2 - 2025*i + 1875.\nAnswer: -3*(i - 25)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3540*16\/(-50)*560\/(-448). Calculate the greatest common factor of b and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 8:41 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 41 = 97 - 6. Suppose 25 = -5*h, 0 = -5*q + 2*q + 2*h + 484. What is the least common multiple of q and c?\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 9 + 1 - (-18 - -22)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*n**2 + 5*n**2 - 1 - 9*n + 12*n**2 - 22*n**2 in the form d*n**2 + x*n + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -999.52 - -1022. Let j = 28.9 - y. What is j rounded to 1 dp?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 12) to base 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6267450001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*87\/(-30)*(2 - 82)\/8?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 14*b + 144. Let k be z(-10). Let f be (-8)\/(112\/(-21)) + 34\/k. Solve 4*i + f = 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*u + 104*u + 100*u - 303*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*z - 239 + 227 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8663090 is divided by 11050.\nAnswer: 10940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**4\/15 + 2*v**3\/5 - 8*v**2\/5 - v. Factor u(l).\nAnswer: 4*(l - 1)*(l + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvgvvvv. Give prob of picking 1 v and 2 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 5. Suppose 0 = -2*a - 4 - 2, j*a = -5*q. Let n(v) = -2*v - 3. Calculate n(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = -9. Let k be (0 - p)\/(2\/(-4)). Let y = 39 - k. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 1:48 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 1, -0.1, 2\/5109, 2\/207?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**10*(h\/(h*h**(-3)))\/h)\/(h**9\/h**(1\/4)))**41 assuming h is positive.\nAnswer: h**(533\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 2*h**7\/315 - 7*h**6\/360 + h**5\/90 + h**4\/72 + 1232*h**2 + 3*h - 1. Suppose w(c) = 0. Calculate c.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8952189 litres to millilitres.\nAnswer: 895.2189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*i - 10, 5*i + 10 = d - 1. Let v(x) = -x**3 - 3*x**2 + 1. Let n be v(i). Suppose 2*o = n + 1. Is o greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 7 + 0 = 0. Let x(h) = -h**3 - 6*h**2 + 7*h - 4. Let k be x(j). Let z = k - -4. Let d(m) = -m**2 + m - 7. Determine d(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 + 0.3. Let h = -17.97 - -16.97. Let u = 4.6 - 5. What is the second smallest value in s, u, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**4 + 0*b**4 - 3*b**4)*(-5 - 10*b + 5 - 1) - 10*b**5 - 5*b**5 + 10*b**5 + (b**2 + 4 - 4)*(-4 + 4 + b**3).\nAnswer: -14*b**5 - b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - m**3 + 1)*(4 + 0 - 2) + 4*m**3 - 2*m**3 - 4*m**3 - 2*m**3 - 2*m**3 + 2*m**3 - 121*m**2 + 121*m**2 - 284*m**3.\nAnswer: -290*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i - 6. Suppose 14*k + 69 + 43 = 0. Let n(g) = 3*g - 6. Let c(u) = -5*u + 10. Let h(m) = k*n(m) - 5*c(m). Give -8*h(o) + 3*x(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141621?\nAnswer: 3, 47207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 9, j: 5}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4277*d + 422*d + 144 - 1028 - 907 + 1193*d wrt d.\nAnswer: 5892","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-9) - (-1833)\/3384\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 391876087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - ((141 - 23) + -31)) + 29?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7004*g**4 - 7*g**2 - 2 + 3505*g**4 + 3497*g**4 + 2*g**3 + 3*g as z*g**4 + r*g**3 + s*g**2 + u*g + i and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + l - 10. Suppose 0 = 4*p - 4*z + 2*z - 32, 3*z = 3*p - 27. Is n(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 521 - 481 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-71*h - 458 + 23*h + 49*h)*(3*h - 3*h + 2*h) to the form d + z*h**2 + a*h and give a.\nAnswer: -916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 11. Suppose -3*k - 4 = -2*k, 0 = 5*i - 5*k - 260. Let m = 57 - i. What is the smallest common multiple of m and t(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50752?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 51632? (a) 1\/2 (b) 52 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -186, -77, 32, 141?\n\"Answer: 109*h - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2\/5, 26, -2\/11, 8\/21, 1\/6, -1?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 58 = -r - 3*r, -3*r = -4*b - 44. Let w be (8\/(-12) + 1)*r. Suppose 2*g + o = -4 + 8, 3*o - 4 = -2*g. Solve -6 + w = g*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**2\/2 - 4*w - 2. Let f be j(7). Find the third derivative of 0*m**3 + 6*m**2 + 2*m**f - 4*m**2 wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 + 64. Solve t + 2*t = n - 10, -2*t = j*n + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 0 (b) -7\/2 (c) 2.78 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28308218 a multiple of 503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*d + 106*d. Sort d, 3, 5, -209, 0.2 in increasing order.\nAnswer: -209, d, 0.2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33477 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 338 (base 10) in base 16?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 10:36 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 397.5931 milligrams?\nAnswer: 0.0000003975931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 3, 4 in descending order.\nAnswer: 4, 3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, -3, 4\/27, -316, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000371164 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 8.39392.\nAnswer: -8.79392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -4, -21, 0 in decreasing order.\nAnswer: 2, 0, -4, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26697224543 + -26697224664.00000067. Let l = 381 + -260. Let n = h + l. Round n to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 132 + -128. Let y be ((5 - k) + -17)*-3. Factor -4*w**5 - 152*w**2 + 11*w**3 - y + 8*w**4 - 3*w**3 - 2*w**3 + 148*w + 42*w**3.\nAnswer: -4*(w - 3)*(w - 1)**3*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 122751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 4*p = 16. Suppose p*y = 2*y + 28. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (1 + 0 + -2). What is the closest to -0.1 in -1\/5, o, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, z: 1, l: 3, m: 2}. What is prob of sequence zull?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 5*t + 10 = -2, 0 = 3*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 1)*(-13 - -24). Let x = 29 - w. Calculate the greatest common divisor of x and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7409650 rounded to the nearest 10000?\nAnswer: -7410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-594)\/132*(-2)\/90.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383 = -2*u + 89. Let b = u - -396. Calculate the remainder when b is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 45\/(-35) - (1 - 2). Which is the third biggest value? (a) 38.8 (b) -3\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyvm when four letters picked without replacement from vvfyfvmvffwmvy?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2423 + -2425. Suppose 0 = -2*z - 15 - 9. What is the units digit of (z\/15)\/(w\/165)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -225107\/84 + -17344\/21. Let x = p + 3483. Which is greater: x or -23?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/4 and -1 + (3356\/480 - 7)*906\/(-8).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 74?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**2\/5 + 18006*r + 5589548\/5 = 0.\nAnswer: -62, 45077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 252933 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -219 and -175 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 7*g - 6*g + 80, -3*g = -2*c + 30. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.492563 to 1 decimal place.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 212941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16913?\nAnswer: 13, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 8101 - 8075 = 2*r, -11*x - 41*r + 388 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-384))\/((-26500)\/1600).\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*b + 18*b**2 + b**2 + 999 - 16*b**2 - 59*b.\nAnswer: 3*b**2 - 112*b + 999","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297 + 2*u**2 + 4*u**3 - 2*u**2 + 297.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -34. Suppose -v + i = 11. Solve 0 = 6*a - a - v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-5) - 1)\/1. Let c = 5.07 + -0.07. Let i = c + -3. What is the third biggest value in i, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + (-1 + -2 - (-97 - -76)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5647 + 499 + 353 = -283*w + 2280 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - 2*f - 2. Let q(l) = 2*l**3 - 3*l - 3. What is 3*m(c) - 2*q(c)?\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000066132906 to 7 dps.\nAnswer: 0.0000661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 0*z**3 + 10 - 9*z**2 + z**3 - z - 3*z**2. Let a(i) = i**3 + 68*i**2 + 513*i - 150. Let o be a(-9). Determine g(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 4*z + 0*z)*(3*z + 5*z - 2*z)*(z + z + z).\nAnswer: -36*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -0.3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.28 - 0.38. Let p = -0.4 + 0.5. Let z = 3.1 - p. Which is smaller: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 80942 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 20*s + 9)*(-15 - 82 - 4) + s + 0*s + 0*s to the form d*s + m and give d.\nAnswer: -2019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*k + 44*k + 12 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 2*m = -45, -4*m - 97 = -13*t - 122 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 0*q**3 + 2*q**2 + 0 + 11\/24*q**4 + 14*q. Let v(y) = 8*y**2. Give b(v(u)).\nAnswer: 88*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**7\/315 + s**6\/25 - 23*s**5\/150 - s**4\/10 + 22*s**3\/45 - 44*s - 1. Determine o, given that p(o) = 0.\nAnswer: -11, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*c - 29*c - 175 = 0. Which is greater: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -2*s + 6*s + 23, s + 14 = 2*f + 6 - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -28 - (-64 + 72)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2842 + 599 + 1111 + 1101 + 2*t.\nAnswer: 2*t - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 18*n + 180. Let z be s(-10). Solve -10*v + 7*v + 3 = z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81760 and 14746.\nAnswer: 8257760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*r**4 - 3227*r - 5*r**3 + 3211*r + 8*r**2 - r**2 wrt r?\nAnswer: -96*r - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 8*s = 5*s + 218 - 82 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4275226ug to tonnes.\nAnswer: 0.0000000000004275226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 185 + -183. Suppose -20 = -3*b + 5*v - 3*v, -12 = -5*b - m*v. Solve 3*p + p = b*q + 8, 5*p = 15 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 430 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -761 in 2, -15\/53, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1069 + 1066. Let s = -3.02 + 3. Let y = s + 0.72. Is w at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y**2 - 4*y + 3. Let u(d) = -5*d**2 + 4*d - 4. What is -3*s(w) - 4*u(w)?\nAnswer: -w**2 - 4*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123 - 106. Calculate the remainder when 65 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0198 + -2562304.85.\nAnswer: -2562304.8698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cid when three letters picked without replacement from {g: 3, i: 5, d: 6, n: 3, c: 1}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6357780677 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > 119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = 7*i. Suppose 1 = -4*g - 4*z - 7, -3*g - z + 2 = i. Solve o - m - 8 = 0, g*m = o - 3*m - 28 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -56 + 6?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -1\/15*x**5 + 2\/3*x**4 + 4*x**2 + 0*x + 8\/3*x**3 - 1\/30*x**6 - 2. Find b such that v(b) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15919*h = -15931*h - 108 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -1. Let q(x) = -x**2 - x. Let y(s) = -7*s**2 - 7*s - 1. Let c(p) = -4*q(p) + y(p). Give c(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 0, 9\/13 in descending order.\nAnswer: 9\/13, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 0*k**2 - k**2 + 15 + 0*k. Let b be j(0). Suppose -5*x - 21 = w, -w - 1 = 4*x + b. Calculate the lowest common multiple of 7 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 62, 167, 312, 497, 722, 987?\nAnswer: 1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1998 and 894551886?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -2*sqrt(637)*-2 - (sqrt(468) + sqrt(468) + -1 + -4 + sqrt(468) + 4))*1)**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 8 - (16 + -10). Solve 1 = s - 3*p, -4*p = v*s - 2*p + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + g. Let k be u(-2). Suppose -3*y + 27 = k*f, -y + 2*y + 59 = 5*f. Let a = -3014 + 3026. Calculate the greatest common factor of a and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5\/538 - 24977\/4304. What is the common denominator of -101\/40 and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*l + l. Suppose -l*w + 5 + 4 = d, -3*d + 45 = -3*w. What is the remainder when 38 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 383*d. Let u(w) = 13*w. Give u(g(x)).\nAnswer: 4979*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cca (base 15) to base 9.\nAnswer: -8531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 160*i - 8. Let v be b(-7). Let t = -10133\/9 - v. What is the common denominator of 11\/3 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 11*t + 39. Does 14 divide m(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5005*i**2*n*t**2 - 2*i**2*t - 14*i*n**3 - 59*n**3*t**2 + 42*n**3*t - 6*n**3 + 4*n**2*t wrt t.\nAnswer: 10010*i**2*n - 118*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 676 = 6*d - 716. What is the highest common factor of 3364 and d?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 11 = 3*i + 1, -4*i = 2*c + 8. Let p = 5 + c. Let h(f) = 3*f**2 + f - 1. Is h(p) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1725*c + 96558. What is v(-56)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131332213231 - -2?\nAnswer: 131332213233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 2. Suppose -a = 5*f + 23, 0 = -d*a + 2*a - 4*f - 10. Suppose -4*u = -r + 2*r - a, r = -5*u + 3. Solve -2*q = -q + u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from hcuc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(105) + 1*sqrt(105))\/sqrt(7))\/(sqrt(3)*3*5 - sqrt(3)))**2.\nAnswer: 5\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**7\/840 + d**6\/240 + d**4\/12 - 3*d**2. Let x(p) be the second derivative of j(p). Solve x(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*o = 4. Let b = 2 - 1. What is the closest to 0 in o, b, -4\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4\/5)\/q)\/q**(-2\/81))\/((q**(-6)\/q)\/q**(-1\/24)) assuming q is positive.\nAnswer: q**(16793\/3240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.4 (b) 2 (c) -1646 (d) -1\/3 (e) 14.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -36694576 divided by -109864\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 146800125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -654*r - 12377. Let y be n(12). Which is bigger: -20226 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**3 - 2*y**2 + 2. Let z(k) = k**3 - 4*k**2 + k + 2. Let m be z(3). Let b be 16\/(-20)*10\/m. What is the units digit of r(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 456.71 - 452. Is 1 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (sqrt(20) + (2*sqrt(80) - sqrt(80))))\/(sqrt(10) + sqrt(360)*1).\nAnswer: -2*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 165\/594*(2 - (-70)\/(-25)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r - 1. Suppose -15*f + 180 - 90 = 0. Calculate w(f).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 - 8 + 2 - 8*x + 10. Determine y(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*k + 22 = 9, 3*k - 7 = -s. Suppose -4*c = -2*c - s. Solve 0*x + c = 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d - 47849 - 47121 + 94097 to the form n + q*d and give n.\nAnswer: -873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*j - u - 5, 3*u + 15 = -2*j. Let h = 117130 + -29867951\/255. Let k = h - 11\/17. Is j bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 3:09 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 9*a - 110 + 43.\nAnswer: -9*a - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25218.\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 89063 and 9?\nAnswer: 801567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-19 + 35 + -47 + 12 + 11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 8. Let s be g(6). Does 7 divide ((1 - 5) + (1 - s))*-7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -878 + 5593. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 - 9*o**3 + 3*o**2 + 4*o.\nAnswer: o*(o - 4)*(o - 1)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2004 divided by 334?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 40 = -4*r, 5*r + 5 = -2*i - 15. Let z(v) = -3*v + 2. Let d be z(4). Is i smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 455 and 40?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**3 + 15*i**2 - 9*i - 8. Let u be 5*(96\/(-20))\/3. Let y be c(u). Factor q**4 + y + 0*q + 1\/2*q**5 + 0*q**2 + 1\/2*q**3.\nAnswer: q**3*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3481068.65111794415 - 3481105.6368. Let z = 0.01431813415 - d. Let q = z - 37. Round q to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbbqbqbbbbqqqrfqm. What is prob of picking 1 f and 1 r?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -6*r - 22, -20536*l - 19 = -20538*l + 5*r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109724384*d**3*x + 2568*d**2 + 50*x - 55 wrt d?\nAnswer: 658346304*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 42. Which is smaller: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3816.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**5 + 20774*j**4 - 1484232*j**3 + 8406656*j**2 - 16480768*j + 10876320 = 0.\nAnswer: -10458, 2, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + sqrt(4032)*3)*3*-1)\/(-2*(sqrt(144)*1 + sqrt(144) - sqrt(144)) - (sqrt(144) - (sqrt(144) + sqrt(144)*-1 + sqrt(144))*-2 - sqrt(144))).\nAnswer: 75*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/13313934 and -61\/3288.\nAnswer: 53255736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*x - 4*x**2 - 314*x + 4*x**2 + 2*x**2.\nAnswer: 2*x**2 - 192*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/11 in -6, -4\/5, 2\/15, 5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 243 divided by -3\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 251264752 to the power of 1\/2, to the nearest integer?\nAnswer: 15851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3447 is divided by 249.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 2:35 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1572021 and 1598553?\nAnswer: 6633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -217 + 227. Solve -7*q - 3 = -a*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -7352849.81901?\nAnswer: 7352853.81901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -611a (base 12) to base 10\nAnswer: -10534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 32 + 20 = 0. What is the closest to -0.3 in 1\/5, a, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 4*i - 2, -263*i - 7 = g - 267*i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**2 + 25529*g - 25530 = 0.\nAnswer: -25530, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*g - 43*g + 8 = 5*s, 3*g + 12 = 3*s. Let q be 12\/18*24\/((-16)\/g). Solve n + 5*m = q*m - 1, 4*m + 40 = 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.062774 centuries in decades?\nAnswer: 80.62774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31815 is divided by 278.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127 - 9585*g**3 - 9580*g**3 + g**2 + g - 19 + 19164*g**3 to k*g + f + t*g**3 + x*g**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + 6*b - 8. Determine a(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 16*p - 13. Let g be r(-18). Let x(f) = 2*f - 36. Let i be x(g). Let h be 8*((-25)\/i + 3). Put h, 0, 1 in increasing order.\nAnswer: 0, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from yyw?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*u - 163446 = 140005. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41828632\/172975 + 12\/15725. Is -242 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 3, g: 7}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (23 + (-18165)\/(-42))\/((-1)\/(-14)).\nAnswer: 7, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -805888, -3223026, -7251590, -12891580, -20142996, -29005838?\nAnswer: -39480106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115869 - -398738. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (3 - 10) + 10 + (-9 - -5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -700.51016 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6346 + -6339. Calculate the greatest common factor of l and 1554.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 10. What is the biggest value in b, 3, 0.01?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 + 5*f**2 - 5*f**2)*(7 - 8*f**2 - 4 + 1).\nAnswer: -24*f**5 + 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*c = 90. What is the remainder when 44 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = l + 3*l - 172, -3*c + 170 = 5*l. Let s(y) = 0*y**2 + c - y**2 - 60. Let w(a) = 6*a**2 - 1263 + 1263. Determine s(w(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, -12413, -2, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 5*d + 2. Let h be c(5). Suppose 2*k - 2 = h. Suppose -3*x + x = -k. What is the closest to -0.1 in 0.4, -4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0 = 3. Which is smaller: -2\/15 or u?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133236457?\nAnswer: 2339, 56963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -571 (base 11) to base 15\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 107051386 times -0.3\nAnswer: -32115415.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 43, 17, 0.1?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-5))\/u*(u*u\/u**7)\/u)\/(u\/u**(-1\/3))**(-4) assuming u is positive.\nAnswer: u**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/12)\/(z*z**(-3\/2)*z))\/(z\/z**(-6)*((z*z**(-1\/7))\/z)\/z))**(-6) assuming z is positive.\nAnswer: z**(541\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 6:23 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9090\/(-25) + (-4)\/10. Let b = -1108\/3 - r. Calculate the common denominator of 43\/4 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 + 4*s**2 + 2*s + 2. Suppose 96*x + 40 = 76*x. Let c(l) = 6*l**3 + 13*l**2 + 7*l + 7. Give x*c(b) + 7*g(b).\nAnswer: 2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-21\/4)\/z))**26 assuming z is positive.\nAnswer: z**(377\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*v + 197 = 8*f, -4*f + 5*v + 184 = 0. Is 30 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 19510764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4494571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131217 is divided by 26218?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -7. Let z = 15 - u. Let o = z - 0. What is the remainder when 18 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -1007*c + 35647. What is t(35)?\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 10001636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 0) + (-35 - -29) - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -24*h**3 - 5*h. Let x be -11*((-20)\/5 - -3). Let m(u) = -73*u**3 - 16*u. Let j(f) = x*r(f) - 4*m(f). Find the second derivative of j(c) wrt c.\nAnswer: 168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2308509\/55 - 41974. Find the common denominator of (-138)\/(-60) + (-5)\/(-10) and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1012)\/230)\/((-6)\/(-10)) + 7.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*h, -36*h + 12 = -3*s + 38*h - 73*h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 43137, 86252, 129367, 172482, 215597?\n\"Answer: 43115*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 121366 + -1?\nAnswer: 121365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24605995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -97*i - 16. Let z(x) = 49*x + 6. Let c = -128 - -123. Let h(u) = c*z(u) - 2*j(u). Let p(f) = -f. Determine h(p(k)).\nAnswer: 51*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyy when three letters picked without replacement from {d: 4, y: 5, n: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 99*l - 2178. Give c(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43812 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -10. Suppose 2*q + a*q = 20. Suppose -q - 4 = -2*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 11 = 3*k, -4*s - 5*k - 23 = -6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) 4349 (b) 40\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**6\/3 + 23*f**5\/15 + 7*f**4\/3 + 13*f**3\/9 + f**2\/3 - 16. Let b(p) = 0. What is p?\nAnswer: -2, -1, -1\/2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.49, 3, 4, 61?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 9 + -1 - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 20*a. Let m(r) = -3 + 16*r + 4 + 28*r - 25*r. Let b(k) = 6*h(k) - 7*m(k). Differentiate b(f) wrt f.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1465548 is divided by 14981?\nAnswer: 12391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -67, 0, -1, 7, 2 in descending order.\nAnswer: 7, 2, 0, -1, -12, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 131991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -353?\nAnswer: 34d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {n: 1, r: 1, u: 1, e: 1, o: 1, a: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3\/15 - 2842*l**2\/15 + 17114*l\/15 - 2854\/3 = 0. What is l?\nAnswer: -1427, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392*c + 345*c - 714*c.\nAnswer: 23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -16*q**3 + 11*q**2 + 24*q - 49. Is c(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 89 = -431. Let y be i\/(-15) - (-6)\/15. Let m = 73691 - 73687. Solve 2*f = m*f - y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooopopooo. Give prob of picking 2 o.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5\/11 - 54*l**4\/11 + 56*l**3\/11 = 0. Calculate l.\nAnswer: -28, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8396 is divided by 240.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tthtzzbkzzdt. Give prob of sequence tdh.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*x**4 - 4*x**4 + 8*x**4 + (-6*x**2 + 3*x**2 + 2*x**2)*(-5*x**2 + 0*x**2 + 3*x**2) - 6*x**4 + 3*x**4 + 4*x**4.\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 2 + (1 - 2 + 2)*(-3 + 2 - 4))*(7*l + 58*l + 7*l)*(3*l - 2*l + 0*l).\nAnswer: -792*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 6237.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 28 = k. Solve -2 = -k*g - 0*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 9\/17530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 2:17 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*l**2*n**3*y - 106*l**2*n - 7*l*n**3*y - n**3*y + n**2*y - n*y wrt n.\nAnswer: 24*l**2*y - 42*l*y - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 9*s - 2*h + 36 = 0, 0 = -s - 3*h + 4. Sort 0, -1, s.\nAnswer: -1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 23 = 5*c - 2*c, -4*c = 20. Solve 4*t + z*q = -4, -q - 1 = 2*t + 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -589*t**4\/3 - 287*t**3 + 2073*t. What is the second derivative of p(w) wrt w?\nAnswer: -4712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a tonne in kilograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 9*l - 161. Let q be j(7). Solve -4*z - 2*c + 10 = 0, z = 5*c + 8 - q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 12) to base 2\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9264 divided by 35.\nAnswer: 9264\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 623 - -1735. Which is bigger: h or 7070\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 6:21 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bycyycybyc. What is prob of picking 2 c and 2 b?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2442751 to the power of 1\/2, to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -115644, -115655, -115668, -115683, -115700?\n\"Answer: -r**2 - 8*r - 115635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19383 and 965955?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 12:04 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-17) + -1)*41002\/574028.\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -119*a**6\/40 - 109*a**4\/24 - a**3\/3 - 538*a**2. What is the second derivative of h(b) wrt b?\nAnswer: -2142*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 521380 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 7301552076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**6\/180 - 3*o**5\/140 + o**4\/42 + o**3\/3 + 1. Let c(i) be the third derivative of b(i). Factor c(z).\nAnswer: 2*(z - 1)*(7*z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72280343?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**4\/12 - m**3\/2 - m**2 + 2*m - 1. Let l(s) be the first derivative of c(s). Suppose 5*v + 10 = 35. What is l(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 340 and 310930.\nAnswer: 621860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5*v - 9*v. Let i(u) be the first derivative of -u**3 + 9\/2*u**2 + v*u - 4. Factor i(x).\nAnswer: -3*x*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c + 6. Let v be p(-4). Suppose 6*m - 3*m + 60 = 0. Let a = v - m. Solve x = a*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + sqrt(147) + sqrt(147) + -1 + -2 + -2.\nAnswer: -5 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 43. What is the nearest to -3\/7 in f, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299354306 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 greater than 1028\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.15 (b) 2.8 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -11*g**5\/60 + 7*g**4\/24 + g**3\/3 + 69*g**2. Let o = -2 + 6. Let y(z) = 5*z**2 - 3*z - 1. Determine o*k(a) + 9*y(a).\nAnswer: a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9577188nm in centimeters?\nAnswer: 0.00000009577188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g**(-2\/3)*g*g*g)*g\/(g*(g*g**(-2\/15))\/g)*g assuming g is positive.\nAnswer: g**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146661455?\nAnswer: 5, 23, 1069, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183177440?\nAnswer: 2, 5, 73, 15683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2550208 is divided by 1014.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 381514207 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2347 + -16?\nAnswer: -235d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 9:19 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h + 2. Suppose -10 - 60 = 7*n. Let i be 8\/10*(-25)\/n. Determine f(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -88, 0.1, 1\/4, -44?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j. Let y(g) be the first derivative of -g**6\/360 - 2*g**3\/3 + 5. Let o(q) be the third derivative of y(q). Give o(t(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -2. Suppose -59 = -14*l - 181 + 94. Sort n, 0.4, l, -0.2.\nAnswer: l, n, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -240*4\/(-16)*-4. Let r = y + 316. Which is greater: 75 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 19*h**2 + 15*h + 18. Let b be j(18). Let o = 38 + b. Solve 5*i - o = 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 4*r - 8. Let f(z) = z**2 + 3*z + 7. Let p(m) = 6*f(m) + 5*l(m). Let u be 2 + (0 - (-2 + 1)). Does 2 divide p(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.178 + -2.822. What is the biggest value in x, -0.0318, -3?\nAnswer: -0.0318","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 + 0*f**2 - 4*f**2 + (2*f - 2*f + 2*f)*(0*f - 2*f + 0*f) + (-f - 4*f + 3*f)*(2*f - 3*f + 2*f) - 232*f - 196*f**2 + 232*f.\nAnswer: -203*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + 6.8. Let a = 8 - d. Let p = -1.5 + a. Put 5, 0.4, p in decreasing order.\nAnswer: 5, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(-139 - 10025*d - 10018*d - 10022*d + 30067*d) to m + p*d and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83339146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 26 = 11*k. Which is the nearest to 1.4? (a) k (b) 5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**2*s**3*x**2 - 2*g**2*s**3*x - 21*g**2*s**3 + g**2*s**2*x + 16*g**2*x + 7*g*s**3 + 7253705*s**3*x**2 + 836*x wrt x.\nAnswer: -8*g**2*s**3 + 14507410*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 15*n**2 - 292*n - 206. Determine i(-26).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202 + 219 - 712 + 236 = 5*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.091 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 4*f + 13, 5*f - 5 = 42*b - 44*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -4.5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 3:57 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/(t*t*t**(-3\/8)))*t**(-5)*t*t**(-4\/3)\/(t**(-5)*t) assuming t is positive.\nAnswer: t**(7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*n**3 - 24*n**2 - 9534*n + 17157990 wrt n.\nAnswer: 12*n**2 - 48*n - 9534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + (-510)\/(-108))*8\/(-10).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**4 + 2*p**3 - 18*p**2 - 5*p - 1. Let a(s) = s**3 + s. Let n(k) = -2*a(k) + h(k). Find the second derivative of n(d) wrt d.\nAnswer: 12*d**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 145, -1043, -3057, -5891, -9539, -13995?\n\"Answer: r**3 - 419*r**2 + 62*r + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80402 and 7322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 - 178*z**2 + 0*z**3 - 266*z**2 + z**3.\nAnswer: 2*z**3 - 444*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p. Let z(w) = 12*w**2 + 4. Calculate z(y(a)).\nAnswer: 12*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-4\/9)*u\/u**(-8))\/((u*u**(-1\/2))\/(u\/(u*u**4\/u*u)*u)))**(-10))**(24\/7) assuming u is positive.\nAnswer: u**(-520\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, t: 2, i: 3}. What is prob of sequence th?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. Determine x so that 2*x**2 + c - 6*x**2 + 2*x + 1 - 2 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -49*w**2 - w. Let c be x(1). Suppose 0 = -6*q + q + 415. Let y = q + c. Calculate the remainder when y is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 16 - 50 = 0. Let h be (-4)\/o + (-3536)\/(-88). Calculate the highest common factor of 100 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 + 1 - 9 + 17*t**2.\nAnswer: 17*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 35*q + 1. Let b(i) = -105*i - 3. Suppose -2*m - p = -1, 4*p - 27 = 4*m + 1. Let r(h) = m*b(h) - 7*x(h). Is r(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 25*w - 130 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/((-12)\/(-54)*3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.5 - -0.5. Which is smaller: z or 0.6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -5, -0.7, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2 + u - 1. Let z be p(1). Let i = 0.5 - 0. Sort z, i, 2 in descending order.\nAnswer: 2, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-6 - -4 - -12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + -0.73. Let x = p - 0.47. Let t = x + 0.411. What is t rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*m + 824 = -4*m, -5*p - 3*m = -1070. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, u: 4}. What is prob of sequence ucuu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c. Let u be z(-2). Suppose -2*n + u = -0*n - o, -3*o - 12 = -2*n. Let t(r) = -r**2 + r + 6. What is t(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {g: 1, h: 3, c: 11}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3859267514 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z = 26 + 8. What is the closest to -2\/31 in 1, -1\/6, z?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 623, 11\/5, 3 in ascending order.\nAnswer: 11\/5, 3, 623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 353844.2mg in kilograms?\nAnswer: 0.3538442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 532448.5.\nAnswer: -5, 2, 532448.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 x when three letters picked without replacement from {i: 10, x: 2, c: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 25 = 0, 5*i - 95 = -2*y + 5*y. Suppose 2*u - i = -2*u. Solve 0*o + o - u = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**2 + 2*h**2 + 0*h**2 + 6*h**6 + 3*h**2 wrt h.\nAnswer: 720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 12.806. Let h = k - -0.034. Which is the biggest value? (a) h (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z**2 - 3*z - 1. Let j(n) = -19*n**2 - 5*n - 2. Let p(b) = -2*j(b) + 5*u(b). Let h(v) = v**2 + v. Determine 6*h(r) + p(r).\nAnswer: -r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-2) + (-19650)\/4528. Let w = 10\/283 - a. Calculate the common denominator of 95\/12 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**2 - 26461 + 52922 - 26461 + 0*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 4*n**2 + 12*n - 1. Let j be f(6). Let l be (-66)\/4 + (j - -2). Suppose -z - z - 78 = 4*a, 2*a + 49 = -3*z. Is a at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 43, 186271 in descending order.\nAnswer: 186271, 43, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5938*y**3 + 24*y**2 + 8*y + 1521. Let r(u) = -3959*u**3 - 15*u**2 - 5*u - 1014. Let x(d) = -8*r(d) - 5*t(d). Find the first derivative of x(g) wrt g.\nAnswer: 5946*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5611*g**2 + 14*g - 1448. Let x(y) = -11222*y**2 - 35*y + 2895. Let k(z) = -5*w(z) - 2*x(z). What is the derivative of k(q) wrt q?\nAnswer: -11222*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2052965 millilitres in litres?\nAnswer: 0.0002052965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**5\/60 - i**4\/24 + i**3\/6 - i**2. Let x be b(0). Suppose 2*k - x = 17. Solve 4*t - 4*r + 3*r - k = 0, 3*t - 18 = 3*r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7)\/x)\/x**(6\/5))**(-17)\/((x**(-1)\/x*x\/(((x*x\/(x*((x**(2\/5)*x*x)\/x)\/x)*x)\/x)\/x))\/((x\/(x*x**(-1\/2)))\/(x*x**(-1\/2)))) assuming x is positive.\nAnswer: x**(300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10*(4767\/84 + -58) + 3\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/408 and 79\/408?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4480.155 hours in seconds?\nAnswer: 16128558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -391 + 700. Let g = 306 - n. Let q(u) = -u**2 - 7*u - 16. Determine q(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000304599 to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 174930 in -0.1, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 40544?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 3. Let c be i(0). Suppose -48 + 33 = -c*v. Let x(u) = 2*u - 19. Let h be x(v). What is the second smallest value in 2, 0.3, -1\/2, h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32724173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-891)\/462 + 1\/(-2)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5+-0.12262755\nAnswer: -5.12262755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/246 and 16\/5089?\nAnswer: 1251894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1204809197 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 416486 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = -4 - 60. Let w = 0.25 - -2.75. Which is the nearest to v? (a) -1 (b) w (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2314513883 + 2314513881.957002599. Let m = -1.043 - n. What is m rounded to seven dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**3 - 38*o**2 - 19*o - 30. Give f(-8).\nAnswer: -774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(84\/16))\/((-4)\/12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 1843 + 277. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1311 (base 4) to base 2.\nAnswer: -1110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 0*m**2 + 6*m**2 - 26*m)*(4*m**2 - 6*m**2 - m**2).\nAnswer: -18*m**4 + 90*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64285, -64277, -64269, -64261, -64253?\nAnswer: -64245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k**3 - 5330*k**2 + 85388*k + 59296 = 0. What is k?\nAnswer: -2\/3, 17, 872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 39 = -a + 4*a, -2*a = -2*c - 14. Which is smaller: c or -8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -676364000 rounded to the nearest one million?\nAnswer: -676000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1007 + -1004. Solve b*w + 3*w = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4082*v**2 + 1159*v**2 - 3724*v**2 - 481*v**2.\nAnswer: -7128*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, r: 2}. What is prob of sequence qrrq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 800*b - 804*b + 8 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -42020, -83934, -125730, -167402, -208944, -250350, -291614, -332730?\n\"Answer: i**3 + 53*i**2 - 42080*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*x + 31*x + 230*x**2 - 554*x**2 - 682*x**2.\nAnswer: -1006*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.89 + -91.11. Let v = 93.5 + u. Which is the second smallest value? (a) -1 (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 320116 and 1167.\nAnswer: 321283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -230 (base 4) to base 9\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135 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: Let o be ((-38)\/8 - (-165)\/(-132))\/(9\/(-102)). Solve s = o - 67 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 21460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 70656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (5 - (-4 + -3 + 14))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87584060 and 50?\nAnswer: 437920300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/((-10)\/56*8661\/14435).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 42 = -3*w, -w + 1 = -2*q - 22. Let v be (-26)\/6 - (-6)\/q. Let l = 7 + -6. Put l, v, -2 in ascending order.\nAnswer: v, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -1.3071, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 4*k = j, -2*k = 3*j - 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 3. Let f = -12 - -19. Let a(v) = 16*v + 0 + v**2 - 10 - f*v. Let s be a(-10). Give i(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2798, 2799, 2800, 2801, 2802?\n\"Answer: o + 2797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + -7 + (4 - 1) + 373771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 11*k - 30 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.416 + -20.92. Let v = -928 - -920.5. Let l = v + f. Round l to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 1. Suppose 4*o - c = 2. Solve 5*b + 36 = 4*u, -29 = -2*u + 5*b - o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**4\/6 + 2*c**3\/3 - c**2 + 2*c\/3 + 8. Factor d(o).\nAnswer: -2*(o - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9279 is divided by 2932.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -9553333\nAnswer: -3821333.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25922 = -t - 3*s, 0 = 6*t - 3*s - 25448 - 130126. What is the thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102186805361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 + t + 5. Let a(x) = -103 - 81 + 185. Let n(c) = c - 2. Let h be n(3). Give h*d(y) - 6*a(y).\nAnswer: -2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**2 - y + 4. Determine h(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from {n: 5, f: 7}.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4520 or 4519?\nAnswer: 4519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*g + 49, -2*g + g - 13 = -u. Find the common denominator of (-1)\/((-8)\/u)*44\/3 and -133\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012975 rounded to five dps?\nAnswer: -0.01298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 20 = 0, 19 = 5*y - 5*p - 56. Let g be (-8 + 4 + 5)*25. Calculate the highest common divisor of y and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s + 43. Let n be z(-21). Let k be (6\/(-1) + n - -2)*2. Let r be 4 - (k\/(-3) - 3 - -1). Solve 0 = -r*m + 2*m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*v + 14, 5*v - 4*r = v + 24. Put v, -12, 1 in increasing order.\nAnswer: -12, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**0*z)**(-14))**(29\/5))**(-31) assuming z is positive.\nAnswer: z**(12586\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25862, 25053, 24244, 23435?\nAnswer: 22626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 760\/1 + -9 + 7 + -2. Suppose -d = -8*q + 492. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + 3 - (1 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 64*i**2 - 6*i - 378. Calculate t(-64).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 1762*t**5\/5 + t**3\/3 - 3401*t**2\/2 + 2716. Find the second derivative of f(q) wrt q.\nAnswer: 21144*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2 + y**2 - 1 + y + 3*y. Suppose -2*r + 5*b - 10 = 0, -3*r + 4*b - 5 = 10. Calculate m(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2\/11 (c) -64 (d) -0.5 (e) -7.7 (f) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.497 and -2041.\nAnswer: -1014.377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 265*c - 238 + 222*c + 348*c + 1607 + 691*c with respect to c.\nAnswer: 1526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -187701, -190372, -193043, -195714?\n\"Answer: -2671*y - 185030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, v: 4, r: 6, x: 1}. What is prob of sequence rxv?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 10493 and -1905704.\nAnswer: -1895211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15785200 and 20615?\nAnswer: 110496400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 7, 0 in decreasing order.\nAnswer: 7, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13628 = -13*a - 10*a + 41205. Calculate the lowest common multiple of 4 and a.\nAnswer: 4796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*j + 107*j - 58653 = 21915. What is the remainder when j is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + -5*sqrt(833)*-1 - (sqrt(833) + 1*sqrt(833) + 4 + -5))**2.\nAnswer: 84*sqrt(17) + 7501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -17*n + 13*n. Let c be 0*(3 + -1)\/(1*n). Let u be 1 - (4 - (c + 4)). Solve -2*g = -3*w - 0*g - u, -5*w = -g - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16062 or -16068?\nAnswer: -16068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 3, 5, -1877 in descending order.\nAnswer: 5, 3, 2, -1, -1877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13841330 to the nearest integer?\nAnswer: 3720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w + 27*w = 20*w - 29 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 17 = 4*k + 53, 5*q + k - 15 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8884 (base 9) to base 15.\nAnswer: -1e21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/4 of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 + -1221328.2.\nAnswer: -1221291.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 18*i - 35. Suppose -q = 5*o - 4*q - 1057, 0 = i*o - 4*q - 1061. Let n be (-2 - (-2 - -1))*-19. What is the highest common divisor of n and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -4\/7, 3\/163, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27476 (base 9) to base 3.\nAnswer: -221112120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 26 + 10*d - 103 + 25 - 12*d + 29. Let n(t) be the first derivative of 2*t**3\/3 - 2. What is n(g(q))?\nAnswer: 8*q**2 + 184*q + 1058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 141, 47, 1, -5, -1153, 2 in descending order.\nAnswer: 141, 47, 2, 1, -5, -1153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 70*j + 397. Let q(a) = 45*a + 399. Give 2*m(p) - 3*q(p).\nAnswer: 5*p - 403","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 + 0*z**4 + 0*z**4 + (13 - 10 - 8)*(-4*z**4 + 3*z**4 + 2*z**4).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7094*u**2. Let q(a) = -a + 292. Calculate q(d(w)).\nAnswer: -7094*w**2 + 292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmuyyymuyuymmmumum. What is prob of picking 1 u and 1 m?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 515201671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2 + 13*w + 3*w**2 - 20 + 7*w - 7*w**2 = 0. What is w?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.041027 * 3453.\nAnswer: 141.666231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.8 + -2.85. Let i = u - -6.75. What is the smallest value in -7, i, 8, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 18*g**2. Let s(i) = 149924*i**2. What is s(w(n))?\nAnswer: 48575376*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - -128. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 + 2*x - 12. What is the tens digit of l(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.7 (b) 5 (c) -0.5 (d) 0 (e) -1\/5 (f) 30\/19 (g) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1011*m**3*s**2 - 1936*m*s**2 + 2205391*s**2 + 2 wrt m.\nAnswer: -3033*m**2*s**2 - 1936*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 - 42*r + 14. Let v be j(-11). Sort v, 0, -0.9.\nAnswer: v, -0.9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-4)*(-8)\/(-6). Suppose 19 = -i - 2*x, 3*i + 0*i + 4*x + 51 = 0. Let y = i + 34. Solve 0 = -z*l + 5*d + y - 2, l - 5*d = 22 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/6*1*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 3*g = 9, 4*q + g = -154740 + 154721 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 5*b**2 + 34*b + 237. Give a(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d. Let s = -19 + 33. Let o(j) = 2*j - 1. Let v be o(2). Let l(w) = -v*w**2 - s + 14. Give y(l(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 3\/5, -5, 0.25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7865*r - 20 = -7867*r - 3*j, 25 = -5*r + 5*j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*s**3 + 167*s**3 + 154*s**3.\nAnswer: -63*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 2*f**3 - 38*f**2 + 4*f**3 + 38*f**2 in the form y*f**3 + l*f + m + c*f**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6400 and 4772000?\nAnswer: 38176000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {a: 1, l: 3, y: 7, z: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (168*a**3 + 9130*a**2 - 9130*a**2)*(0*a**2 + 8*a**2 - 4*a**2).\nAnswer: 672*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -6. Let c(v) = -2*v + 8. Let g be c(i). Find the third derivative of 7*f**3 + 4*f**3 - 40*f**2 + g*f**3 - f**3 wrt f.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*n - 12*n + 19*n as d + g*n and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 71411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -553?\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**2 + 53*y - 88. Give s(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -24. Let h(z) = z**3 - 14*z**2 + 12*z + 15. Let d be h(c). Solve 3*i = -2*x + 4 + 3, -d*x = -2*i - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-1 + 10 + 6 + (-6 - 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 4*m**3 + 16*m**3 + 21*m**3.\nAnswer: 33*m**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 1125*k**4 - 2850*k**3 + 1280*k**2 - 160*k = 0. Calculate k.\nAnswer: 0, 4\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12084717.48 from 0.09.\nAnswer: -12084717.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*t = 932, -288 = 2*h - 3*h + 4*t. Let r = -23 - -26. Suppose -r*p + 269 = -h. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**4 - 5*u**3 - 5*u**2 - 3. Let p(m) = -6*m**4 - 4*m**3 - 4*m**2 - 4. Let i(y) = -4*a(y) + 5*p(y). Find the first derivative of i(b) wrt b.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - f + 1. Let a(y) = -5*y**2 + 8*y + 68. Calculate -a(j) - 2*g(j).\nAnswer: j**2 - 6*j - 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 8*l + 32 = 0, -d + 354261*l - 354258*l + 7 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - r + 7. Let f = 18 + -18. Suppose f = 4*g - 9 + 9. Give k(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9)\/(z**(2\/39)*z))\/(z**(1\/3)*z)**(-33) assuming z is positive.\nAnswer: z**(5051\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 2*h**2 + 24 - 50 + 2*h**3)*(93*h - 47*h - 59*h)*(-3 + 3 - 3).\nAnswer: 78*h**4 + 78*h**3 - 429*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 153*w**2 - 111*w - 24. Let f(q) = -461*q**2 + 333*q + 68. Let c(g) = -6*f(g) - 17*s(g). What is the second derivative of c(z) wrt z?\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {d: 1, i: 1, a: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -13 + 1. Suppose x*y = 4*y. Let v be 3 - (y - (-1 - -1)). Solve -v*r = 2 + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178*s + 243*s - 254*s)*(2 - 3 + 2).\nAnswer: 167*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/6 and (316\/(-47))\/4 - -2.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.2, -0.5, 0.1, -16471, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 u when three letters picked without replacement from kauukauukkkaukkk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1589 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rganhge. Give prob of sequence hg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(2\/25)*m*m)\/m)\/(m*m**(-4)))\/(m**3\/(m**(-2\/13)*m)) assuming m is positive.\nAnswer: m**(899\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 428758147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 50135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5030 divided by -5?\nAnswer: -1006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -2*h. Suppose -2 = 4*z + 2*f, 0*z + 8 = -z + 2*f. Put z, h, -1 in decreasing order.\nAnswer: h, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8*c**3 + 5*c**2 - 21*c - 9. Let l(w) = 2*w**3 - w**2 + 5*w + 2. Determine 2*b(k) + 9*l(k).\nAnswer: 2*k**3 + k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*i + 10, -f + 5 = 1. Let s be (-2)\/i*(4 - 6). Let w be s\/((-4 - -7)\/3). Solve 4*r - w*r = 2*x + 14, -3*r + 15 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 337457 and 3197?\nAnswer: 1078850029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**2 + z - z)*(-2*z + 4*z - 2 - 6*z) to the form r*z**3 + k + p*z + t*z**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 150\/(-300)*(-6)\/(-8). Let t = 0.2 + -0.2. What is the closest to -0.3 in -1\/6, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g - 22. Let x be l(-5). Suppose 391 = -5*a - 3*j, a - x*j = -3*a - 329. Let s = a + 87. What is the greatest common divisor of s and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 37. Let m = -1.1 - q. Which is the nearest to 0? (a) m (b) 0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-1))\/1 + 0 - -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -332258*b**3 - 221001*b**2.\nAnswer: -1993548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(11) - sqrt(55)\/sqrt(5)*3).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2 = 2*p, 2*y + 26*p = 24*p - 18. Let t(u) = -u**2 - 7*u - 1. Determine t(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -5 (c) -0.22 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Suppose c - 6 = r. Let s = r - -16. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 3*w**5 - 22*w - 11. Differentiate v(u) with respect to u.\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -4\/9 (c) 0.1 (d) -6 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 8)*(-198)\/10. What is the third derivative of 4*y**2 + k*y**4 + 0*y**2 - 114*y**4 + y**2 wrt y?\nAnswer: -360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3958 and 113.\nAnswer: 447254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 38 = 2*i, 330*z - 313*z = -13*i - 353 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 39 = -3*q, -j = -5*q - 17 - 26. Let h = 31 - j. What is the remainder when 50 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3842 - -9211. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(3\/5)\/v)\/(v\/(v*v**(-2\/19)*v)))\/(v**1)**(1\/2) assuming v is positive.\nAnswer: v**(189\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 2, 0, 5 in decreasing order.\nAnswer: 5, 2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30195696 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -11130*y**2 + 1. Let i(s) = -3*s. Give u(i(h)).\nAnswer: -100170*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 7*x**2 - 5*x + 8. Give j(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 197617 divided by -37\nAnswer: -5341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(((-187)\/153)\/(-11)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**5\/5 + 32*f**4\/5 - 956*f**3\/5 + 3048*f**2\/5 + 4032*f\/5 = 0. Calculate f.\nAnswer: -21, -1, 0, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 234269, 468536, 702803, 937070?\n\"Answer: 234267*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1033, -1047, -1051, -1039, -1005?\nAnswer: -943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 1 (c) -3\/358 (d) 9\/2 (e) 0.4 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-100)\/40*8\/(-10). Suppose -j*d + 26*k - 23*k + 3432 = 0, -d = 2*k - 1716. What are the prime factors of d?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45034 = 28*j - 180153 - 54645. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445145 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-97 - 184 + 70)*(-27*o + 8*o - 40*o + 14*o) in the form j + z*o and give z.\nAnswer: 9495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**3 + 6*g**2 - 4*g + 13. Let h(s) = -3*s**3 + 5*s**2 - 6*s + 15. What is 2*h(i) - 3*u(i)?\nAnswer: 6*i**3 - 8*i**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - c. Let q(g) be the first derivative of g**7\/280 - g**5\/30 - 4*g**3\/3 - 1. Let z(v) be the third derivative of q(v). Determine 4*l(y) - z(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 6 + 3 + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/3)\/(4\/(-6)*(-15)\/10). Suppose 3*y = 3*z + 3, -z - 2*y = -0*y + 7. Let p be 26\/39 - (-2)\/z. Solve -d*k = -p*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8646 (base 12) to base 10\nAnswer: -14742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1421250?\nAnswer: 2, 3, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r**4 + 1989*r**3 - 5*r**2 + 363822.\nAnswer: -8*r**3 + 5967*r**2 - 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**2\/7 + 12802*g\/7 - 51192\/7 = 0.\nAnswer: 4, 12798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 203 = -2*b, b - 27 = -4*l + 138. Let d = l - 29. Let i be ((-4320000)\/d)\/(6\/280). Round i to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 0 + g + 0*g - 1. Calculate the smallest common multiple of 8\/(-20) - (-2247)\/105 and d(5).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*x**3 - 35*x**3 + 302*x + 435*x + 74*x**3 to s + z*x**3 + c*x**2 + j*x and give j.\nAnswer: 737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**2 - 213*a - 378. Determine j(55).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6642.4 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8887286 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (4\/2 + -5). Let o(b) = -9*b**2 + 15*b + 21. Let h(n) = 4*n**2 - 7*n - 10. Let k(z) = x*o(z) + 7*h(z). What is the units digit of k(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206911748 to the power of 1\/4, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 755371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - 48. Solve -6 = -a*t + t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 3, r: 11}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 454?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 821*d - 1987. Determine v(2).\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 12:59 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82248860.\nAnswer: 2, 5, 1069, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -3*r - 33. Let x be (-66)\/9 + (-2)\/(-6). Let j be (r\/(-2))\/x*-2. Is -6\/11 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from bqssbzbb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -439795 greater than 1.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or -71\/212?\nAnswer: -71\/212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 13*o + 9. Let s be y(-14). Let v = 9 + s. Sort 3, v, 0 in descending order.\nAnswer: v, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - u**2 - 123*u - 99. Calculate r(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 2*i + 23, -5*i + 24 = 2*q - 8*i for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 17*d - 18*d = -40*d - 92, -2*r + 39*d = -743 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28481926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631119 is divided by 903?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1223.1095259 to 1 decimal place.\nAnswer: 1223.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 23*m - 1218. Let j be o(54). Solve -42*z - j = -34*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - -11. Calculate the remainder when k is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -29 - 1. Let d(r) = 83*r**2 - 1. Let x be d(1). Suppose x = -m*a + 10. Which is smaller: -1\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -60*n + 6. Determine i(1).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 146128304 minus 32?\nAnswer: 146128272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 219 - 208. Suppose 311 = 5*x + t. Calculate the highest common divisor of x and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 20350, -3 in decreasing order.\nAnswer: 20350, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -106 + 48 + 47 - 14*n**2 + 11*n. Let h(q) = -5*q**2 + 4*q - 4. What is 11*h(u) - 4*p(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1695371.\nAnswer: 911, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 34544?\nAnswer: -1\/34544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*p**3 + 105*p**3 + 46*p**3 + 40 - 4*p**3 + 46 wrt p?\nAnswer: 408*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19956421 - -0.018\nAnswer: -19956420.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -31 (b) 17\/4 (c) 42.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 15*r**2 + 19*r + 63. Calculate j(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (133\/1330)\/(0 + (-1 - 0)). Which is the nearest to u? (a) 3\/5 (b) 2\/7 (c) -2\/7 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 1438 = 6382. What are the prime factors of l?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -30*a**4 - 2*a**3 - 40. Let s(v) = -v**4 - v**3 - 1. Let r(x) = -p(x) + 2*s(x). Find the first derivative of r(q) wrt q.\nAnswer: 112*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(-4 + 96\/10). Let t = q + 28. Solve -4*x = -0*x - 2*n - 26, t = -3*x + 2*n + 21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 0*d + 2*d**2 - 5*d - 3*d to g*d**2 + l + b*d and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(7\/49)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3182982 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427 = -5*a - l, -3*a + 91 = -2*a + 3*l. Let y = 94 - a. Solve 0 = -x + y - 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*u - 5. Let x(p) = 2*p**2 - 4*p - 4. Let b = 7 - 8. Let d(h) be the first derivative of -h**3\/3 + h**2\/2 + h + 1. Calculate b*x(a) + u*d(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1 = 5*d, -r + d + 0 + 1 = 0. Let w(c) = 4*c**2 - 1 - 4*c**2 - r*c + 0*c**2 + 3*c**2. What is w(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -89 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.909 + 0.121. Let s = p - -108.97. Let f = s - 110. What is the nearest to f in -1\/4, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 1 - 7. Let t be (-3 - z - -6) + 121. Suppose 2*m = 18 + t. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304052750 a multiple of 3474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*f = -60 - 37 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113788445 and 670.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*t**3*z**3 + 30*t**3*z - 349*t**2*z**3 + t*z + 2*z**2 - 44*z wrt z?\nAnswer: -30*t**3*z - 2094*t**2*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 4*f + 10*f = 0. Let n(w) be the third derivative of 9*w**2 + 1\/2*w**3 + f*w - 1\/8*w**4 + 0. Give n(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -268.22 to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 442 - 9284\/21. Let o be (-4)\/102*(35 - 32). Put -3, o, 1, l in descending order.\nAnswer: 1, l, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1728 and 132051?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*s + 630 = 399*s - 378 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7329 (base 13) to base 5\nAnswer: 1002141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.39 + 5.61. Are 0.5 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 773144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-15))\/(0 + 3\/(-9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 3) + -12 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000382217942 to 7 decimal places.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0, -0.208?\nAnswer: -0.208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -38, -94, -204, -386, -658?\nAnswer: -1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 875970 rounded to the nearest 10000?\nAnswer: 880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 7*d - 34. Let w = 242 - 220. What is the tens digit of q(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -23*s**3 + 2*s**2 + 3*s + 3. Let r be b(-2). Let u = 234 - r. Sort u, 1, -5 in ascending order.\nAnswer: -5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)*1*2 + 1.\nAnswer: 1 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -9*b**2 + 676*b - 56. What is the remainder when 868 is divided by c(75)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 134 = -15*q + 118. What is the remainder when 381 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+524.668149335\nAnswer: 524.868149335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 25 = -5*s, 0 = 27*g - 32*g - 5*s + 165 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97212175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26977625?\nAnswer: 5, 19, 37, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 206640 and 2112320?\nAnswer: 19010880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 0. Let s = 3 - l. What is the second derivative of 2*k + 2*k**3 - k + s*k wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7371, -4, 0.2?\nAnswer: -7371","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 1. Let h be q(-1). Suppose -7 + 1 = -3*v. Let k = v - h. Solve -k - 4 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5060\/7*o + 1024\/7*o**3 + 1224\/7*o**2 + 4\/7*o**5 + 144\/7*o**4 - 5400\/7 = 0.\nAnswer: -27, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 550 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*b - 21. Let q = 25 + b. Calculate the least common multiple of 2\/(-8) - (-45)\/4 and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-6))\/(8\/12). Suppose 0 = -r - 4 + t. Let j be (r\/(-6))\/(2\/12). Solve -4*i = s + s - 8, 0 = 2*i + j*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2018\/9 - -224. Let f be (-1)\/(3\/24)*(-7)\/42. Sort h, f, 0, -3\/8 in ascending order.\nAnswer: -3\/8, h, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/8*((-39192)\/13490)\/(-69)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 1)*(-l + 4*l - 4*l) + 4*l - l - 4*l)*(4*l - 4*l + l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**4\/3 - w**3\/6 - 5*w**2\/2 - w. Let g be 44\/16 - 1\/(-4). Let y(i) = -i**2 - i - 1. Calculate g*y(m) - f(m).\nAnswer: m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from aeleeeeeweewe?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -171646.8900006 - -171647. Let w = g + -0.11. What is w rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*p - 268*p = -13727. What is the remainder when p is divided by 92?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 168 - -448. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 + 7*f**2 - 2*f + 5. Let m be y(-6). Let x = 365 + m. What is the first derivative of -206 - 6*n - x + 404 wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/18)\/(-1)*(-44)\/(-165).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 24 - 9. What is the units digit of 10*1*y\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.3 - 3.3. Let z = 0.03 + 1.97. Let o = -4 + z. Put -5, o, b in increasing order.\nAnswer: -5, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 159. Let b = -85 - u. Suppose -5*w = -2*f - 14, -3*f + f + 10 = w. Calculate the remainder when b is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 7*y**2 - 6*y + 2. Calculate g(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*t - 10, -t - 2*q = -2 - 5. Let v = t + 2. Let w be 64\/34 + (-130)\/(-1105). Put -4, 4, v, w in increasing order.\nAnswer: -4, w, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2040 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 3*m**2 + 4*m + 1. Let r = -149 - -156. What is the remainder when k(3) is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4695415?\nAnswer: 5, 31, 30293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - (sqrt(112)\/sqrt(2) - sqrt(56))*2)\/sqrt(8).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 3*k = 11, -n = -0*k + 3*k - 19 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6175 - -38560. Calculate the greatest common divisor of 17 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/25)\/(((-4)\/2)\/1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -9047.990867 to the nearest 100.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -716292290*j**3*r**2 - 17*j**2*r**2 + 14*j**2*r - 88*j**2 + j*r**2 - 2*r + 6 wrt j.\nAnswer: -4297753740*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*m = 16*m + 585. Suppose -100 + m = -11*c. Factor 8\/3*z**4 + 11\/6*z**2 + 0 + 6*z**3 + 1\/6*z - 32\/3*z**c.\nAnswer: -z*(z - 1)*(4*z + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.87206 meters in millimeters?\nAnswer: 78872.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 79)\/3 - 2. Suppose 2*n - q = 5*z, 2*n - 2*z - 3 = -z. Is 37 a factor of 3*(2 - 3) - 175\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.6 + -9.5847. Let j = 0.1153 - r. Let z = -2.6 + 0.6. Which is the nearest to z? (a) j (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 0*t + 2*t + (4 - 1 + 3)*(0 + 0 + t))*(20*t + 7*t**2 + 2*t**2 - 7*t**2) to the form x*t**2 + k + q*t**3 + j*t and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 8528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75854734 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.076 - -7. Let l = -0.04 - k. What is l rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -696320*-48.\nAnswer: 33423360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-67)\/670)\/(3\/(-45))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5*g**3 - 9*g**3 + 22*g**3)*(-1 + 1 - g**2).\nAnswer: -8*g**5 - 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4441988525.\nAnswer: 5, 13, 13667657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -277, -7, 3\/5, 0.4, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2 - (-28)\/12). What is the derivative of -r + 0*r - 5 + n*r wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + (sqrt(11) + -3)*-4)**2.\nAnswer: -80*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(28)\/sqrt(4)))\/sqrt(10).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143268659207\/2828 + -50660770. Let s = l + 2\/2121. Find the common denominator of s and (-439)\/(-130) + 2\/10.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67772608+5\nAnswer: 67772613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 15*g**3 - 11*g + 435. Let b(w) = 6*w**3 - 5*w + 219. What is 9*b(m) - 4*x(m)?\nAnswer: -6*m**3 - m + 231","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52117.\nAnswer: 13, 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from {p: 6, g: 2, w: 5}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97017.\nAnswer: 3, 73, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4391 = 6*l - 4415 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*b**2 - 3*b + 3*b + 392*b**2 - 196*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*b + 0)*(-3 + 3 - 16) + 25*b - 3*b + 35*b.\nAnswer: 89*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x. Suppose j = -4*r - 14, -r + 2*j = -0*j - 1. Let p(z) = 6*z - 3. Let l(o) = 5*o - 2. Let c(u) = r*l(u) + 2*p(u). What is n(c(f))?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81347 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1047\/8 + -132. Calculate the common denominator of l and -83\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -187 - 1665?\nAnswer: -1841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 67944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24715 - -24703 - (4\/6)\/(2\/(-48)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6516 divided by -6.\nAnswer: -1086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzmubbbzbbnbmzmunz. What is prob of picking 1 u and 3 m?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4309, 4312, 4315, 4318?\n\"Answer: 3*c + 4306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*c*i*l - c*i*y - c*l*y - 118*i*y**2 + i - 2*l*y**2 wrt l?\nAnswer: 22*c*i - c*y - 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 1, p: 1, s: 1, m: 1}. Give prob of sequence mas.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 9:25 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = c + 5*u + 12, 3*c - 5*u = 31 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + (sqrt(832) - -3*sqrt(832)*4 - sqrt(832)) + sqrt(832) + (sqrt(832) - 4*(sqrt(832) + 1)))**2.\nAnswer: -704*sqrt(13) + 100688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/183708 and -17\/162.\nAnswer: 183708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, x: 1, r: 1, w: 2}. Give prob of picking 3 n.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1941 + 4?\nAnswer: 1945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h**3 + 250015*h**2 - 1041750000*h - 347277780 = 0. What is h?\nAnswer: -1\/3, 8334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -2\/3, 4, -26?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j**3 + 136*j**2 + 96*j - 716. Determine f(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 75696.62 hours?\nAnswer: 272507832000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 - 7*k**3 + 4*k**3 - 16 + 15 + k. Let q(y) = 3*y + 20. Let j be q(-6). Let i(b) = 6*b**3 - 3*b + 3. Calculate j*i(o) + 6*g(o).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*p - 2. Let h be 44*((-9)\/p)\/3. Let z be h\/(-12) + 3\/18. Calculate the greatest common divisor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.23 (b) 6 (c) 250.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -241 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -381.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 563646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553099 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 13 = -2*d, -89*d = -90*d - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-5))\/(1\/(-5)). Suppose -4*p = -6*p - c. Let m = 4 + -3. Sort p, -5, m in descending order.\nAnswer: m, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 321*r + 15. Is n(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62.8 - -56. Let g = i + 7. Let o be 2\/12 + 8\/(-12). Which is the second biggest value? (a) g (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 + -53. Suppose -30 = -6*f + f. Let k = f - s. Solve 12 = n + k*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2362938*j**3*w - 2*j**3 + 2*j**2*w - 2*j**2 - 239345*w - 8 wrt j?\nAnswer: 14177628*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 - 146 - (-8 - 65)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2792916 by 84.\nAnswer: 33249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518 smaller than 1517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -396281*q**3 - 2*q**2 + 207918*q - 8 wrt q.\nAnswer: -2377686*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 1\/24*f**4 + 0*f - 1\/60*f**5 + 0*f**3 + 0 + 2*f**2. Let w(y) = 2*y + y**2 - 5*y**2 + 6*y. Calculate -6*d(p) + w(p).\nAnswer: 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*c + 7 - 7)*(-16*c**2 - 47 + 37 + 14*c**2).\nAnswer: -22*c**3 - 110*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*d - 1777 = 456 - 373 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3130 - 1211102302?\nAnswer: -1211112032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -661 - 1896429?\nAnswer: -1897090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 32 = z - 3*t, 5*z + 3*t + 20 = 0. Let p be (-1)\/3 + z\/(-3). What is the second derivative of -5*r**2 - r**2 + 3*r**p + 3*r - r wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (2 - (2 + -2)). Suppose -r*t - 3*t = -465. Suppose -5*d + t - 38 = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 + 1590*y\/7 + 66800\/7.\nAnswer: -2*(y - 835)*(y + 40)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 3.7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 3:02 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -591.896 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**2 + b + 12. Let d be f(5). Let y be 22\/(-22)*(d - 1). Suppose 5*v + 14 = y. Calculate the least common multiple of v and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/2))**2\/((g\/(g**(-1\/3)\/g))\/g*g)**45 assuming g is positive.\nAnswer: g**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4785 and 1265?\nAnswer: 110055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1547 or -1546?\nAnswer: -1547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 10 = 3*k. Suppose -60 = -4*n - 0*i - i, 4*i + 54 = k*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217, -437, -655, -871?\nAnswer: -1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 5)*(-1 - 6\/(-18)). Solve 3*m - 6 = -5*q + 4*m, 0 = f*q - m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -5. Let a(x) = -5*x**2 + 2*x + 1. Let d be a(-1). Let h be d\/(-9)*(-3)\/(-13). What is the second smallest value in h, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.131491um?\nAnswer: 0.000000006131491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-25)\/(-10)*36\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.31 - -19. Let r = 24.69 - y. Let o = 25.0022 - r. Round o to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -663.126 and 0.05?\nAnswer: -33.1563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 42 = 20*g, 562*k = -g - 564*k + 1133*k - 60 - 77 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 56 - 1?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(2 + 4 - 4)*(-5*j + 2*j - 8*j).\nAnswer: 44*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-0.4985.\nAnswer: -0.014955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) - 34\/51. Let y be (u\/((-4)\/(-44)))\/(-1). Solve -20 = 6*l - y*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -19. Suppose z = -y - 2*y + 57. Suppose s = 4*g - y, 10 = 5*g - 4*s - 0*s. Calculate the lowest common multiple of 4 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 322659 + -322648.000432. Let o = q - 11. Round o to 5 dps.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25.690856 - 25.68. Round f to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113631 (base 10) to base 13\nAnswer: 3c94b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from {p: 1, u: 11, c: 1, r: 1, t: 4, n: 1}?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3981 is divided by 181?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 21 = -5*j, 4*w - 3*j + 9 + 4 = 0. Which is the second biggest value? (a) 0.13 (b) -2 (c) w (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (79 - (-15123)\/(-142))*(2 + -6).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 442 (b) -1.6 (c) -2\/45 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87004 - 77415 - 594*g + 2*g**2 + 594*g.\nAnswer: 2*g**2 - 164419","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*q - 6951 + 34935. Is 53 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -103, -139, -157, -151, -115, -43, 71?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 15. Let l(h) = h**3 + 9*h**2 + 7*h + 21. Let f be l(r). Differentiate f*u - 14*u - 14 - 15*u - 27*u**4 wrt u.\nAnswer: -108*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) -14\/11 (c) 1\/7 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 8*x - 10*x. Let q be (464\/48)\/(x\/(-6)). Let w = -28 - q. Solve -4*h + 9 - w = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoo when three letters picked without replacement from {s: 3, o: 3, q: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(-4)\/f))\/f)\/(f*f**(2\/7)\/f))**(5\/2) assuming f is positive.\nAnswer: f**(165\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5\/3 - 118*w**4\/3 + 704*w**3 - 5616*w**2 + 21024*w - 30240.\nAnswer: 2*(w - 35)*(w - 6)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 7*i**5\/60 - i**4\/24 + 153*i**2\/2 + 50*i. Let y(c) be the first derivative of s(c). Let p(n) = -5*n. What is p(y(q))?\nAnswer: -35*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 31723.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/2 - 468345*c**2\/2 - 177321300*c - 33649893000.\nAnswer: -3*(c + 380)**2*(c + 155355)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1434 + -1434. Factor 0 + q*d - 1\/2*d**4 + 3*d**3 - 9\/2*d**2.\nAnswer: -d**2*(d - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -673\/89 not equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 850178549 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-5) + 893\/(-235) - 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*z = -29488, 3*y + 2*z = -6966 + 29085. Is 36 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + 9*k + 63. Let t(a) = a**2 - 4*a - 36. Let m(g) = -3*n(g) - 7*t(g). Determine m(0).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -34. Let c = -18 + i. What are the prime factors of c\/(-6)*357\/(-14)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -93 or -141?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 32 - 392 = 0. Suppose -4*p = -b - 46. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7420*t - 7383. Calculate i(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3 - 51*k**2 + 143*k + 84 = 0 for k.\nAnswer: -28, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42464850 divided by 566198.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348*b - 405*b + 815*b.\nAnswer: 62*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 806231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 14. Let m(d) = d - 15. Let p(b) = 4*m(b) + 5*u(b). Let j be p(7). Factor 2*a - 4*a**j + a**4 + 2 - 3*a**4 + 2*a.\nAnswer: -2*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121846 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4697 is divided by 666?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**6\/120 + 3*g**5\/10 + 9*g**4\/2 + 36*g**3 + 162*g**2 - 117*g. Let w(r) = 0. What is r?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81868 or 163735\/2?\nAnswer: 81868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 13372 = -2*z + 4*d, -5*z + 33354 = -2*d. Calculate the greatest common factor of 284 and z.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -31*k**3 - 17*k**2 - 59*k + 10. Is r(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12791 - 12788. Which is smaller: -14.8 or p?\nAnswer: -14.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -583*c**3 + 3*c**2 + 3*c. What are the prime factors of m(-1)?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 37 = -5*w, -3*o - 5 + 17 = 0. Suppose w*v = -2*g + 6794, 17019 = 35*g - 30*g + 4*v. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**42\/n*n*n**(-2\/7) assuming n is positive.\nAnswer: n**(292\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7622311?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c. Let s(v) = 6*v. Let t(o) = -5*r(o) + 4*s(o). Determine t(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -349 (b) 0.5 (c) -3\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 595, 603, 611?\n\"Answer: 8*z + 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.3 - 6. Let n = 720 - 729.18. Let t = 9.08 + n. Which is the closest to t? (a) -17 (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50\/21 - -592\/231. Determine x so that 2\/11 + 2\/11*x**3 - z*x - 2\/11*x**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*y**3 - 1807*y**3 + 513*y**3 - 995*y**3 - 122*y**3.\nAnswer: -2658*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 168456582 to the power of 1\/3, to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 22*w. Let g(m) = 33283*m**2 + 9213*m - 6142. Let d(o) = 65*o**2 + 18*o - 12. Let j(x) = 3071*d(x) - 6*g(x). Calculate j(k(a)).\nAnswer: -40172*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2. Let w(k) = -5*k. Suppose -x - 125 = -6*x. Let z(b) = x*b - 4 + 4 - 21*b. Let l(s) = -2*w(s) - 3*z(s). What is l(c(v))?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 3*f + 246. Calculate the remainder when f is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 5. Suppose 2*j + 0*j = f. Suppose j = -4*w + 3*a + 43, -5*w + 2*a + a = -53. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 498, 1201, 1882, 2535, 3154, 3733, 4266, 4747?\nAnswer: 5170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 7*n + 2*n)*(4 - 5 + 2).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 891 and 403866.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 190.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 10:59 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, y: 2, x: 1, j: 1, n: 1, a: 1}. What is prob of sequence xh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116 - -119. What is the third derivative of 11*j**2 - 14*j**2 - 6*j**t - 15*j**2 - 7*j**2 wrt j?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**6\/120 + w**5\/5 - 2*w**4\/3 + 8*w**3\/3 - 2*w**2. Let d(t) = -11*t - 79. Let n be d(-6). What are the prime factors of m(n)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 + 3*x**5 + 0*x**5 + (0*x**3 - 2*x**3 - x**3)*(3*x**2 - 6*x**2 - 3*x**2 + (-x - x + x)*(-5*x + x + 3*x)).\nAnswer: 17*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 - 8 - -6 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 26971680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 401707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69.024 - -0.024. Let b = 74.05 + n. Let k = -0.05 + b. What is the second biggest value in -0.5, -0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(4\/(-16)*2\/12). Calculate the greatest common factor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 (base 16) in base 11?\nAnswer: -262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -2.1. Which is the nearest to 0? (a) 4 (b) g (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2406 = 2413. Solve -2*i + l*i = 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 5*v - 24, 61*v - 9*u + 72 = -81*v + 138*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/31584 and 79\/216048?\nAnswer: 20308512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, -5, -8, 12 in descending order.\nAnswer: 12, 7, 2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/7)*w*w*w)\/w**3)**(2\/83) assuming w is positive.\nAnswer: w**(-6\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 41*f - 1131. Let s be a(27). Let g be (-294)\/8*18\/27. Are s and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-973)\/(-695) + (-129)\/(-15). Solve f*m - 7*m = -4*g + 2, 0 = -5*g - 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5 + 26 = f, -33 = -2*f + 5*u. Calculate the greatest common divisor of 2853 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -301767 divided by -1\nAnswer: 301767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 0, 86\/23, 1\/2, -326?\nAnswer: 86\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (-1 + sqrt(117)) - (4*(sqrt(13) + 0) - sqrt(13)))**2 + (sqrt(91) + ((sqrt(91) + sqrt(91)*-1)*5 - sqrt(91)))\/sqrt(7).\nAnswer: -10*sqrt(13) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -5 - (27 - 27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 = 17*n - 3*b + 22 - 76, 3*b = 3*n + 51 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -51 - (14 - 16)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 7. Let r(t) = -t - 1. Let c(q) = 3. Let f(j) = m*c(j) + 3*r(j). Let g(l) = -l. Let w(o) = 3*f(o) - 5*g(o). Let d(s) = -s**2. Determine d(w(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -33. Let r = 31 - 27. Put s, -1, r in increasing order.\nAnswer: -1, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 1. Let p(k) = -792*k + 216. Let j(a) = -125*a + 34. Let d(i) = -63*j(i) + 10*p(i). Determine -d(n) - 18*m(n).\nAnswer: 27*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1422, -1425, -1430, -1437?\n\"Answer: -t**2 - 1421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven thirds of a minute?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7715959 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 1)*(2*x - 3*x + 5*x)*(2*x - 4*x + 0*x) as u*x + p*x**2 + c and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 31 - 41 - (4 - 5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 8607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k**4 - 7238*k**2 + 16*k - 3011630?\nAnswer: -8*k**3 - 14476*k + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuw when three letters picked without replacement from uuuuuuuuuuwuuuuuuuu?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 7 = 6*y - 9*y, 2*y = 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 + 14*w - 25. Determine j(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 41409*f**2 + 18496*f - 21. Let l(a) = 8273*a**2 + 3699*a - 4. Let x(i) = 21*l(i) - 4*o(i). What is the second derivative of x(h) wrt h?\nAnswer: 16194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 14, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 17*o**2 + 29*o - 12. Suppose 5*a - 1 = -g - 73, g = a + 18. Let s be f(a). Solve -4*x + 7 = -5*w - 0, -s*x = -3*w - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**2 - 6*u - 3. What is z(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6 (b) 0.13 (c) -0.0516\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1640\/(-15)*6*1250. Round l to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 2. Let h be s(0). Solve h*m - 5 + 1 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/21 + 11\/(-3). Let g be (-4 - q)\/(2\/(-6)). Suppose g*f = 4 + 5. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 0*p**5 + 0*p**7 - p - 1\/6*p**4 + 0*p**3 - 109\/56*p**8 - 21\/2*p**2 + 0*p**6 + 4. Find the third derivative of d(r) wrt r.\nAnswer: -13080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-21))\/(38\/(-57)*(-3)\/(-28))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 523 + -520. Let n be (0 - f)\/3*(5 - 7). What is the highest common factor of 6 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.5 (b) 0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - -8. Suppose 0 = 21*h - y*h + 365. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**4\/4 + 4*u**3\/3 + u + 198. Calculate m(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*t + 282, 4*t - 6*t - 130 = -3*j. Suppose 2*s - 4*s + 164 = 0. Let h = t + s. What is the greatest common factor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(432)*2 + 0))**2*1.\nAnswer: 432*sqrt(3) + 15561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*v**2 + 846940*v - 423472.\nAnswer: 4*(v + 105868)*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 582 = 2*d, 5*b = -5*d - 93 + 813. Suppose 0 = f - 2*x + 28 - 79, -3*x + 242 = 5*f. Calculate the remainder when b is divided by f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31715004?\nAnswer: 2, 3, 1013, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 643 a factor of 1372162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3539329 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40.8 and -2.5837.\nAnswer: 105.41496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076773 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2000220222 (base 3) to base 12.\nAnswer: -1b208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238, 226, 200, 154, 82?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18045913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/10)\/(133\/(-10)))\/(3600\/(-4200))?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 - -89. Let m = -1 + -1. Sort -3, i, m in ascending order.\nAnswer: -3, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.439 - 0.739. Let z(i) = i + 2. Let s be z(3). Put -3\/5, s, j in ascending order.\nAnswer: -3\/5, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 6*i**2 + 5*i - 4. What is k(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3607 - -65?\nAnswer: -3522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 21*h - 3. Determine t(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16323 or -16422?\nAnswer: -16422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 658*v**2 + 39906*v + 558414.\nAnswer: -2*(v - 383)*(v + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**5\/60 + q**4\/24 + q**3\/2 + 4*q**2. Let k be r(0). Solve k*t - 5*t = -2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31490\/(-2256) - (3 + -17).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 + 17262303415*g**2 - 17262303415*g**2.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) -0.4 (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 241\/6 - 1223\/30. Let c = -8 - -81. Let m = -33 + c. Sort -1\/6, i, m.\nAnswer: i, -1\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -x - g + 4*g, g - 89 = -3*x. Let l = -25 + x. Let -6*k**3 - 4*k - 2*k**2 + k**l + 2*k**3 + 2*k**4 + 7*k**3 = 0. Calculate k.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 2*k + 13. Let f be z(-4). Let l = -6382 + 6378. Which is the closest to -1? (a) l (b) -2 (c) -3\/4 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + -1 + 3\/1. Is 31*3\/(-6)*g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 211 + -22?\nAnswer: 1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 8*n + 7. Let q be c(-7). Suppose -8*m + 4*m + 8 = q. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(252\/8) - 715\/(-99)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/30)\/(28\/(-462)))\/(58\/(-290)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61343401 to the nearest integer?\nAnswer: 7832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 0 + 22)*(-4*z**2 + 2*z**2 + z**2) as m*z + d + h*z**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(5\/3) - (-28743)\/195 is divided by 804\/21 - (-4)\/(-14)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 4*n - 10, 4*n + n = -3*y - 14. Suppose 0 = c - d - y, d - 1 = -c + 5. Find the second derivative of 6*l - 4*l - 18*l**4 + 22*l**c wrt l.\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 1\/3*m**3 + 0 + 4*m + 3\/2*m**2. Suppose 3*g + 25 = -2*g. Give z(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -8848.\nAnswer: -5\/8848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x + 15 = 0. Suppose 2*m - 86 = -4*f, -4*m = x*f - 5*f + 28. Suppose 3*d - f = d. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(5) + -1 + sqrt(5))*1 - sqrt(5) - (-2 + sqrt(5) + -2 + sqrt(5))).\nAnswer: -sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 6:36 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1651328874.\nAnswer: 2, 3, 13, 19, 41, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.521 - -0.021. Let o be -1 - 21\/(-3) - 10\/2. What is the biggest value in o, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(2\/5)\/l)**11)**49\/((((l\/(l\/(l\/(l*(l\/(l**(-6)*l))\/l))))\/l)\/l*((((l**(3\/4)*l)\/l*l*l)\/l)\/l)\/l)\/(l**(2\/3)*l)**(-2\/53)) assuming l is positive.\nAnswer: l**(2422483\/3180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 436*a**3 - 10*a**2 + 9*a - 6. Let i(x) = 523*x**3 - 10*x**2 + 9*x - 5. Let d(v) = 5*i(v) - 6*k(v). Let u be 10\/(-15) + 58\/6. Give d(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9011839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1505 - 1486. Solve c + n = -5*z + 4*c, -2*z + 4*c - 2 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 663923, 663922, 663921?\n\"Answer: -k + 663924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a9b4 (base 15) in base 4?\nAnswer: -111020221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393621?\nAnswer: 3, 179, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(13\/6)*z**25*z*z**(-20)*z**(-18) assuming z is positive.\nAnswer: z**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 11:04 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 17 (b) 3\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 5*v**2 - 7*v - 6. Calculate o(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.41 - -0.01. Let s be 1357\/708 + (-2)\/8. What is the closest to 0 in 3, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2. Let u(g) = -25*g + 4. Let z(s) = 24*s - 3. Let v(n) = 3*u(n) + 4*z(n). What is v(q(o))?\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 18*o**2 - 21*o + 40. Suppose -a = -3*r + 42, -2*r - 3*a + 36 - 8 = 0. Let w be x(r). What is w rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -34. Calculate the remainder when 8 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 - 2066*c - 2059*c - 110*c**4 + 6186*c - 1 - 2059*c + c**3 in the form z*c**4 + s*c**3 + f*c**2 + d + x*c and give z.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136 and 12?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-19 + 16)) + 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - 12. Let i = 14 + v. Let z = -17 - i. What is the nearest to z in -1, 3, 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -644 + 743. What is the smallest common multiple of c and 44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**9\/1008 + w**5\/20 + 7*w**3\/6 + 3*w. Let t(b) be the second derivative of y(b). Find the second derivative of t(r) wrt r.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -14*q**3 - 4*q - 2. Let i(w) = -42*w**3 - 12*w - 7. Let v(g) = -2*i(g) + 7*k(g). What is the second derivative of v(c) wrt c?\nAnswer: -84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2714 and 7898?\nAnswer: 10717586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -131070909.\nAnswer: 5\/131070909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29981 is divided by 233?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l + 90*l - 18*l + 51*l.\nAnswer: 110*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2830412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llp when three letters picked without replacement from ppddridlirltiiipit.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 184659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 3. Let k be x\/6 + (-18)\/(-27). Factor 0 + 0*p - 1\/3*p**3 + k*p**2.\nAnswer: -p**2*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from ixxnvknxzzz.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 78888788.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74851\/12690 - -2\/1269. Find the common denominator of -9\/7 and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.52910132075 and -0.98.\nAnswer: -1.50910132075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 5 - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**4\/2 - f**3\/2 - 3*f**2. Let k be x(-9). What is the greatest common divisor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/10 and -63\/82.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15820, -31619, -47408, -63181, -78932, -94655, -110344?\nAnswer: -125993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1300103020 (base 4) to base 9\nAnswer: -770864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 58?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 3*n - 6. Calculate the remainder when h(4) is divided by (8\/(-3))\/((-1)\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkk when three letters picked without replacement from kiidkddidkkddidkd?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 1008792*b - 44394592.\nAnswer: 4*(b - 252242)*(b + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.9 + 16.886904. Round o to 4 decimal places.\nAnswer: -0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*o + 10. Let u = o - -10. Suppose -2*x = -u, 5*s - 18 = -2*x - x. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/(-42)*5\/(-210)*-2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 1 - (18 + -10 - (-6 - -18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -92*v - 474*v + 2799 - 15251 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6567500 greater than or equal to 6567505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, 11, -5, 0.4, -0.12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -13. Let h(n) = n**2 + n - 51. Let d be h(-8). Suppose -l - 17 = -20, 0 = o + d*l - 123. What is the highest common factor of o and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -396 by 66.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98762864*y**2 + 50214423*y - 1.\nAnswer: -197525728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.38 + 0.38883. Round k to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 243893.9 kilometers?\nAnswer: 243893900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 10 = -11*s. Let k(i) = 96*i**2 + i - 6. Is k(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - 22. Let q be 95\/57*1*3. What is the tens digit of n(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8951 + -8951.7. Which is the third biggest value? (a) 1 (b) t (c) -4 (d) -5 (e) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 175\/(-42)*-3 - 4\/(16\/6)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 7) in base 14?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 2064*d + 33 + 2066*d + 7 in the form b*d + x and give x.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18707016, -37414018, -56121020, -74828022?\nAnswer: -93535024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 334 + -326. What is the greatest common factor of x and 536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - (49 + -54 + -1 + 1) - -6.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/6))\/(t\/(t**6*t))*((t\/(t*t**(3\/7)\/t))\/t)\/t*t**(-2))**(35\/4) assuming t is positive.\nAnswer: t**(715\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 7*n + 13. Let h be v(-7). Let o(r) = -r**2 + 12*r + 15. Let d be o(h). What is the tens digit of -1 - (d + 0 - 37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891715?\nAnswer: 5, 11, 31, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.124.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**9\/15120 - l**8\/1260 - l**7\/252 - l**6\/90 - l**5\/5 + 27*l**2. Let w(c) be the third derivative of a(c). Factor w(r).\nAnswer: -4*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 divided by -174.\nAnswer: -65\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -11665.\nAnswer: -4\/11665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and 3.7.\nAnswer: -2.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 27*n - 31*n. Let y(r) = 5*r**3 + 6*r**2 - 6*r - 9. Let d(c) = -4*c**3 - 5*c**2 + 5*c + 8. What is n*d(p) - 5*y(p)?\nAnswer: -p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - v**2)*(27 - 23 + 53 + 52).\nAnswer: -109*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 32. Which is the third smallest value? (a) 3 (b) -0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53900501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -7*j**3\/6 - 9*j**2\/2 - 2*j. Let p be -10*1*(-43)\/(-86). Does 26 divide o(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1 = -29. Let h be (-4)\/(-14)*14\/y. Let i = -0.2 + 0.1. Which is the nearest to i? (a) -3 (b) h (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 99 = 4*z - 8*x, 5*x = 3*x + 2 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 8*y**2 - 11*y + 205. Let h(f) = 2*f**2 - f + 51. Let i(m) = -26*h(m) + 6*s(m). Factor i(v).\nAnswer: -4*(v + 4)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 8*o - 9*o)*(17*o - 7 + 7).\nAnswer: 17*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9d (base 15) in base 13?\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 189*b + 6. Let i(d) = -83*d - 3. Let k(h) = 9*i(h) + 4*w(h). Let n(a) = 28*a - 8. Give -17*k(t) + 6*n(t).\nAnswer: 15*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2 - 89*g = 0.\nAnswer: 0, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 - 498122*v + 498122*v.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 0)*(28*f - 26*f + 2 + 8)*(2 - 2 + 4*f**3).\nAnswer: -56*f**4 - 280*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/(-20) - (-2)\/(-5). Let d be 3\/9*(m - 2). Suppose 3*p = 9 - 0. What is the third biggest value in -3\/4, p, d?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 846 + 0*w - 846 + 0*w. Let r(m) = -22*m. Calculate l(r(x)).\nAnswer: -968*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 14*w**2 - 26*w + 24. Let n be b(12). Suppose -5*f - q - 2*q + 149 = n, f = q + 33. Solve -x + 11 = -2*s, -5*s + 5*x - f = 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(176) + -1 + -3*(4 + sqrt(176)) + 0)**2.\nAnswer: 240*sqrt(11) + 929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**2 + 11*b**3 + 47*b**4 - 3*b - 48*b**4 - 3*b + 2*b to the form q*b**4 + w + x*b**2 + t*b + v*b**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40356653033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 57 = o, -63 = -4*u - 0*o - 3*o. Let i = u - 18. Sort -1\/2, -0.1, i in descending order.\nAnswer: i, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 648\/32 + (-2)\/8. Let c be 1\/(-4) + 545\/z. Does 13 divide 575\/4 - c\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119*b**2*s**2 + 3*b**2 - b*s**2 + 2*s**2 - 163 wrt s.\nAnswer: -238*b**2*s - 2*b*s + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00123603 rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g\/g**18)\/g)\/g)\/g*g**(-2\/81))\/(g**3)**(-39))**22 assuming g is positive.\nAnswer: g**(172810\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/7947 and 61\/9528.\nAnswer: 25239672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 99*z**3 + 40*z**3 + 38*z**3.\nAnswer: -21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 5 - 5. Let g(l) = l. Calculate 12*g(y) - 5*j(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/(920\/(-140)))\/(-2).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, o: 3}. Give prob of picking 4 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/6)\/((-6)\/(-783)). Let a = n + -43. Calculate the greatest common divisor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 40880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z - 27*z**2 - z - 24*z.\nAnswer: -27*z**2 - 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 26*l - 204. Give d(-16).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 199 = -1790. List the prime factors of w.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**4\/4 + z. Let c(r) = r**3 + 19*r**2 + 19*r + 44. Let u be c(-18). Let w(x) = -u*x - 28*x + 61*x. Determine s(w(g)).\nAnswer: -147*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -509464, -1018927, -1528390, -2037853, -2547316?\n\"Answer: -509463*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 177, 202, 225, 240, 241, 222?\n\"Answer: -u**3 + 5*u**2 + 17*u + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -2.7 (c) 133 (d) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184420, -368840, -553260, -737680?\nAnswer: -922100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (150\/140)\/(33\/1232)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 116, 186, 256?\n\"Answer: 70*l + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57.6 - 58. Which is smaller: u or 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = f - 6*p + p - 1, -2*p - 6*p = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5262 (base 12) in base 8?\nAnswer: -21452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 49*y**6\/120 - y**5\/60 + y**4\/24 - y**3\/6 - 8*y**2. Let s be p(1). Calculate the greatest common factor of 32 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-14) + 9552\/(-14). Let k be h\/(-6) - 11\/((-198)\/(-12)). Is k >= 112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-50)*-45 - -22. Let w = -174 + 329. What is the greatest common factor of l and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -4 (b) -2015 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.632 + 1.632. Let n be 15\/(-6)*(-6)\/(-90). Let h = n + 2\/3. What is the third biggest value in u, h, -3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 3*n - 3. Suppose -3*d + u + 3 = -12, -5*u - 27 = -3*d. Suppose -5*m = 3*j + 23, 4*j - 2*m + m = 0. Let f = j + d. Calculate s(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.087 minus -800682.66?\nAnswer: 800682.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 382416?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*j - 10263 = -191*j - 1521 - 158 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from llluuuulkullkuullpuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/156 and 91\/18.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2496 - 2377.04. What is f rounded to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 21809 = -13*v + 12*v, 36375 = 5*u - 5*v. What is the thousands digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, -18, -98, -220, -390, -614, -898, -1248?\nAnswer: -1670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0131241154 to 5 dps.\nAnswer: 0.01312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 14, 3 in ascending order.\nAnswer: -5, 3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**4 - 16 - 17 + 10)*(-2*r + 2*r - r).\nAnswer: -2*r**5 + 23*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 7:02 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 190*j**2 + 80*j + 80. Let w(u) = 7*u**2 + 3*u + 3. Let i be 7\/2*116\/203*(-6)\/4. Calculate i*s(o) + 80*w(o).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*t + 4\/5*t**4 - 11\/5*t**3 + t**2 + 0 = 0 for t.\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + h - 3*h)*(-2*h + 5*h - 4*h)*(-h**2 + h**2 + 3*h**2 + 2 - 2*h**2 - 2 + (h + h - 4*h)*(2*h + 0 + 0)).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*v + 31 = 0, 3*z - 5 - 3 = -4*v. Let f(a) be the third derivative of -3*a**2 + 0 + 0*a - 5\/24*a**4 - a**3 - 1\/60*a**5. What is f(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.53 take away 5.5?\nAnswer: -4.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2285 rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/3 - 3)*(3 + -12). Let y be -6*(14\/c + -3). Solve -y*k + 3*k + 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 5*v + 2*i - 506, -v + 4*i = -110. Suppose 18 = j + 8*j. Suppose 5*a - v = j*a. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -7 smaller than 5846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 264 - 252. Let m(s) = 5*s - 12. Let o be (6\/15)\/(1\/15). Let w be m(o). What is the greatest common divisor of w and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422.479 rounded to zero dps?\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -858 in decreasing order.\nAnswer: -2, -3, -858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/6*20\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 49\/5 of a millimeter?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w**2 + 1963*w. Let u(h) = -4*h + 698. Give n(u(p)).\nAnswer: -80*p**2 + 20068*p - 1065846","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 902779979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88 - -82) + 103 + (-19 - -22 - (11 - 0))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 12*b + 5. Let i be h(-13). Let f be (-6)\/i*(-8)\/9. Suppose 0 = -a - 2*a - 6. Is a smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 + 1 - 6*s**3 - 4*s**4 - 16*s**3 + 3*s**2 - 4*s**2 - 6*s + 0*s**2 in the form h*s**4 + r + y*s**2 + z*s + u*s**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -80212\/3? (a) 0.2 (b) 1 (c) -0.5 (d) 0.4 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + 155a2?\nAnswer: 15596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 715 a factor of 1183325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -78, -197, -364, -579, -842?\nAnswer: -1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*2 - sqrt(153))*3)\/(sqrt(27)\/sqrt(3)*3 - sqrt(9)).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1801916157.\nAnswer: 3, 67, 211, 42487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8 != -19\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 23*q**2 - 19*q - 99. Calculate the remainder when l(-23) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -866.7 + 867. Which is the nearest to 2? (a) 3 (b) 0.035 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1976 - ab0?\nAnswer: -2646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -12*r**2 + 4*r**2 + 51*r + 6*r**2 + 4*r**2. Let d(s) = 6*s. Determine w(d(c)).\nAnswer: 72*c**2 + 306*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -5*(-5 - -4))*-5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 220 in -1238, -10, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1575*m**3 - 6546*m + 1.\nAnswer: -9450*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*g = -26, 2*g - 14 = -4. Suppose b = 4*l - 25. Solve 6 = -2*n - 0*x + 4*x, 0 = 4*n + 2*x + l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85074 divided by 3\nAnswer: 28358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-36.42.\nAnswer: 218.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.5 (c) 718 (d) -405 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2130536 to the nearest integer?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81558.04 minutes to milliseconds.\nAnswer: 4893482400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.365 + -13.2. Let p = -28.835 - u. Which is the third biggest value? (a) 1 (b) 6 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 less than -3?\nAnswer: -706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -189209782*n**3 - 453448478*n?\nAnswer: -1135258692*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -1.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-108))\/(3\/(-27))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 2*w**3\/3 - 3*w**2 - 8390*w. Let i(d) = 12*d - 17. Calculate -2*i(f) + 7*s(f).\nAnswer: 4*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25260)\/428 - (-7 + 20916\/2996).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7.0699608838 and 0.22?\nAnswer: 6.8499608838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32794 in 4, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i**2 + 7*i**2 - 4*i**3 + 6*i**2 + 2*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 9:53 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11106 by 11106.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.12 - -0.78. What is z rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -43 - 1\/12*v**6 + 8\/3*v**3 - 2\/5*v**5 + 1\/8*v**4 + 0*v + 3*v**2. What is b in c(b) = 0?\nAnswer: -3, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*t - 24940 = 143084 + 621150. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -115, 2886, 7887, 14888, 23889, 34890?\n\"Answer: 1000*r**2 + r - 1116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 15, 0 = 6*s - 4*s - 4*h + 10. Suppose -4*a + n - 6*n = 18, -4*a - 3*n = 14. Sort s, -5, a in decreasing order.\nAnswer: s, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -32 - 398. Does 24 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 71*a**3 - 4. Let c(l) = 213*l**3 - 11. Determine -4*c(t) + 11*d(t).\nAnswer: -71*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32671, -57, 12, -2 in increasing order.\nAnswer: -32671, -57, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4546*b**3 - 2153*b**3 - 2269*b**3.\nAnswer: 124*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3 = -0*z, -2*v - 2*z + 10 = 0. Suppose v*o = 6*o - 20. Suppose 2*p = o*h + 55, -2*h - 61 = 2*h - 5*p. Is h smaller than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3084992\/571 at most as big as 5404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**10*x*x*x**(-4\/9)*x*x**(-2)*x**(-10) assuming x is positive.\nAnswer: x**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7776 - -7960. Calculate the highest common factor of 24 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4 + 52977*h**3 + 1961323*h**2 + 10337451*h + 14790906 = 0. What is h?\nAnswer: -31, -3, 53014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 84097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/18*-17 + (-2)\/9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-2*t + 7 - 8 - t).\nAnswer: -6*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -12*u**3 + u**2 + u - 1. Let a be t(1). Let k = a + 22. Let s = -5 - -47. What is the remainder when s is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995 != 2996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + -2)*4 - (2 + sqrt(12)*2))**2.\nAnswer: -160*sqrt(3) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) + sqrt(143)*2)*4 - sqrt(143))\/(sqrt(121)\/(sqrt(55)\/sqrt(5))))**2 + (sqrt(26) + sqrt(104)*6)\/(sqrt(20)\/(sqrt(60)\/sqrt(6))).\nAnswer: 13*sqrt(13) + 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(1300))**2 + (sqrt(1300) - (sqrt(1300)*-1 - sqrt(1300)))**2 + sqrt(1300) + -3 - ((sqrt(1300)*1 + 5 + sqrt(1300))**2 - -6*sqrt(1300)*-1).\nAnswer: -190*sqrt(13) + 2569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.35 - 0.35. Let r = -3 - s. Is r bigger than 0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 9*z = -5. Suppose 6 = 2*x - 0*x, 2*p = x + z. Suppose 3*j - 7 = 5*l, -p*l = -2*j - 2*j + 28. What is the remainder when 16 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30203143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068382875 to the power of 1\/2, to the nearest integer?\nAnswer: 32686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/5*d + 6\/5*d**4 + 6\/5 - 12\/5*d**2 - 6\/5*d**3 + 3\/5*d**5 = 0. What is d?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-2\/5)))**(-1\/85) assuming n is positive.\nAnswer: n**(-2\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*k - 1 + 4)*(-19*k**2 + 62 - 62).\nAnswer: 38*k**3 + 38*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 28 + -3 - 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -9520 at least -9526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 28079564 to the power of 1\/2, to the nearest integer?\nAnswer: 5299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 5. Suppose 17*u = -30 - 55. Put f, -2, u, -1 in descending order.\nAnswer: f, -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*t**3 + 2187 - 2187 + (2*t**2 - 4*t**2 + t**2)*(-2*t - 4*t + 5*t) + (2*t**2 - t**2 + t**2)*(0*t - 3*t + 4*t).\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-1 + -2 - (102 - 126)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 465676, 465636, 465584, 465514, 465420, 465296?\n\"Answer: -w**3 - 33*w + 465710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, y: 11}. What is prob of sequence hyh?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 94 + -93 - (-1 + 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 79?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**5 + 5*b**5 - 4*b**5 + b**5 - 3*b**3 + 3*b**3 + (-2*b**2 - b**2 + 5*b**2)*(0*b**2 - b**3 + 0*b**2) - 16*b**5 - 17*b**5 + 228*b**3 + b**2 + 35*b**5.\nAnswer: -b**5 + 228*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*s + 30, -3*v + 8*v = 3*s - 2. Suppose -3*l + 6 = -2*l. Suppose b = -a + 3, 2*b = b - 2*a + l. Solve -4 = -s*h - b*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbxvvbbvvxzbbbozv. Give prob of picking 1 b and 1 v.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(91\/702))\/(24\/8).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 - 4*g**4 + 4*g**4 + (0 + 20 - 37)*(g**4 + 0*g**4 + g**4) - 3*g**4 - 6 - 3 + 11.\nAnswer: -39*g**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -911*p**2*r + 11807032*p**2 - 33270*r wrt r.\nAnswer: -911*p**2 - 33270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-2))\/1*0. Suppose -3*u + u + 2 = s. Let d = 25\/57 - 2\/19. What is the closest to 2\/5 in d, u, -3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 150 = -14*f. Let k = -0.92 + 0.42. Suppose -4*t + 2*c - 14 = 0, 0 = 3*t + 2*t - c + 19. Put k, t, 1\/8, f in descending order.\nAnswer: f, 1\/8, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3aa04 + -122?\nAnswer: -40026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*4*2*sqrt(1872) + ((0 + sqrt(1872))*-2 - sqrt(1872) - (sqrt(1872) - 6*(sqrt(1872) + 0 + sqrt(1872)))))**2 + -3.\nAnswer: 1916925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15995747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16450 (base 8) to base 9.\nAnswer: 11213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361433023.\nAnswer: 7, 53, 974213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/5360418 and -59\/4890.\nAnswer: 26802090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 5*h + 18. Does 18 divide (4 - (-260)\/h)\/((-2)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sllsx. What is prob of sequence xs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 15*s**3 - 19*s**2 + 140*s + 17. Give v(5).\nAnswer: 2117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 20*v + 34. Let p be u(20). Let b = 36 - p. Solve k + b*n + 7 = 0, 0 = -k + 3*n + n + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*d - 95*d + 194704 = 56*d. Calculate the highest common factor of d and 817.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-18))\/((-10)\/(-3)). Let m = -8\/15 - i. Let s be (-1)\/(-4) + (-5)\/(-12). Sort s, m, 2\/15 in decreasing order.\nAnswer: s, 2\/15, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j - 177. Is (2 + (-10)\/6)*j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 4*b - 52. Suppose 0 = 14*u + 17 - 59. Suppose 2*d - 6*c = -c + 66, -d + u*c = -35. Calculate the remainder when b is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 2891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163*k**4 + 601*k - 21 - 95*k + 21 wrt k?\nAnswer: 1956*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 - 290853*a**2 - 12797895*a\/2 - 35194544.\nAnswer: (a - 581728)*(a + 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 15) to base 13\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -318979281 - 19043?\nAnswer: -318998324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 30 = -2*x, 60 = 61*x - 104*x + 50*x + 10*s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*l + 13*l + 124*l + 129*l in the form w + m*l and give m.\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8740, -8766, -8806, -8866, -8952, -9070, -9226, -9426?\nAnswer: -9676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - u**2 - u. Let a(s) = 8*s**3 - 4*s**2 - 4*s - 4. Let z(q) = a(q) - 4*k(q). Find the first derivative of z(f) wrt f.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/23)*x)**(-1) assuming x is positive.\nAnswer: x**(-25\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 339.882 centuries to decades.\nAnswer: 3398.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i. Let s(b) = -58*b - 3. What is y(s(m))?\nAnswer: -174*m - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 672 divided by 6\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -2*u + 155. What is the tens digit of (-33)\/(-44) + u\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 202292.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 34*i + 150 = 0. Solve 0 = -x + 5*p + 17, 3*p + 8 = -3*x + i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen quarters of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*u, 3*u + 389 = -2*l + 393 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -98972, -98974, -98978, -98984?\n\"Answer: -d**2 + d - 98972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j - 6 = 0. Solve 4*u + j = 22 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from {m: 10, n: 6, z: 2, y: 1, q: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a - 3. Let z(k) = k - 1. Let r(n) = m(n) - 4*z(n). Does 14 divide r(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 129 = 555. Let i be ((-32)\/(-6))\/(6\/k). Let j = i - -215. Is j a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*d + 25. Solve -2*x + 2*c + d = 7*c, -4*c + 22 = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/147 + -179\/1176. Sort a, 0.6, 1\/8, -0.2 in decreasing order.\nAnswer: 0.6, 1\/8, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -2d0?\nAnswer: 2d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2000*n**3 - 241800*n**2 - 9744540*n - 130901654 = 0.\nAnswer: -403\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 234, 473, 714, 957, 1202, 1449?\n\"Answer: s**2 + 236*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 3\/4, 0.05, 1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and -13.\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125323593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**2 + n + 9. Let m(j) = -13*j**2 - 3*j - 28. What is 7*i(f) + 2*m(f)?\nAnswer: 2*f**2 + f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2555.434t?\nAnswer: 2555434000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -117?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -536 = -4*a - 28. Suppose -30*x + 41*x = 1353. Let w = a - x. Solve 4*i + 14 = 2*s, s = 1 - w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*x + 53*x + 18*x**2 - 153*x + 44*x.\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*i**3\/4 + 842*i**2 + 153*i.\nAnswer: i*(i + 306)*(11*i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.9348051 hours in weeks?\nAnswer: 0.0769928875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 22 = 239*d - 469*d + 232*d, 0 = -d - p + 11 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, z: 3, t: 4}. Give prob of sequence jj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n. Let d(p) = -4*p**3 + p**2 + 3*p. Let a(k) = 5*k - 194. Let q be a(39). What is q*d(b) - 3*y(b)?\nAnswer: -4*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 86889*z = -86886*z + 52, 15 = -4*d - z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 20 = 3*y, 8*y + 64 = -157*n + 153*n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/856 and 95\/44.\nAnswer: 9416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 28 (b) -0.08 (c) -1 (d) -0.046 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 4 + (-7 - -1) - -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + o = -4*o - 25, -5*o - 15 = 0. Let b = 4 - u. Let k(q) = q**2 - q**b - 3*q**2 + 2*q**2. Let x(g) = -2*g**2. Calculate k(x(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3622 by 1.\nAnswer: 3622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**6\/120 + b**5\/10 + 11*b**4\/24 + b**3 - 39*b**2\/2 - 22. Let j(f) be the second derivative of s(f). Factor j(d).\nAnswer: (d + 1)*(d + 2)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -6, 0.08, -0.4, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*-14960.\nAnswer: -403920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -2. Let p(q) = -6*q - 2 + 0*q**2 + 2*q**2 + h*q**2 - 3*q**2. Determine p(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2627587049?\nAnswer: 41, 64087489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 1754566 and -48.\nAnswer: 1754518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7243208 to two decimal places.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 14*x + 36. Is d(14) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 12 = 2*g, -5*g + 3*y - 38 = y. Which is bigger: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 735 - 362 - 7*v**2 - 362. Let u(h) = -h**2 + 2. Let o(d) = -2*i(d) + 11*u(d). Let l(k) = -28*k - 1. What is o(l(z))?\nAnswer: 2352*z**2 + 168*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -47517, -94869, -142221, -189573, -236925?\n\"Answer: -47352*u - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 6*o - 3*o = -13, 0 = -5*r - 5*o + 25. Let c be (30\/r)\/5*2. Let t be 0\/(-2) - 1 - -4. Are t and c nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*i**4 - 7*i**4 - 45*i**2 - 47*i**4 wrt i?\nAnswer: -1032*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 3)*1*2\/(-8). Put 1\/3, 0.4, s, -3 in ascending order.\nAnswer: -3, s, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(1088)) - -6*sqrt(68)\/sqrt(4)*3)**2.\nAnswer: 11492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -313, -26, 4, -5, 25 in decreasing order.\nAnswer: 25, 4, -5, -13, -26, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 11 = -3. Solve -4*y - x*b - 12 = 0, -12 = -4*y + 2*b - 0*b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1874173, 3748340, 5622507, 7496674, 9370841, 11245008?\nAnswer: 13119175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 647 and 647 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2380 + 18170. Suppose 512 = -9*f + z. Is 49 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/9)*g)\/(g**(3\/4)\/g)*(g**(-1\/2)*g)**(1\/36))\/((g**1*g**0)\/((g**6*g*g*g)\/(g**(1\/3)\/g))) assuming g is positive.\nAnswer: g**(257\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1006803*p**2 - 668076.\nAnswer: 2013606*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y - 3. Let h(a) = a**2 - 2*a - 4. Let s be h(3). Let c be (0 - s)\/((-2)\/6). Let u(v) = v**2 + 4*v + 1. Let p be u(c). Calculate b(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 196295.3644 + -196249. Let u = 0.0356 + j. Let h = -46 + u. Which is the second biggest value? (a) -1\/4 (b) h (c) 0.03 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/76338 or 1?\nAnswer: 17\/76338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 5:24 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 1459 in increasing order.\nAnswer: -3, 0, 1459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7068 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -5 in increasing order.\nAnswer: -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-3 + ((-5)\/5 - -2)). Suppose f = -169*h + 173*h + 28. Sort -4, h, 2.\nAnswer: h, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, h: 1, v: 1, w: 2}. What is prob of sequence vx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + (sqrt(1700) - 2*sqrt(1700)) + 5 - sqrt(1700)) + 4*-1*sqrt(1700) + -2)**2 + -2.\nAnswer: -300*sqrt(17) + 42507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -337670*q**4 + 70860*q + 2.\nAnswer: -4052040*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2868 is divided by 408.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1150 and 460?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlv when three letters picked without replacement from {n: 3, v: 1, l: 2, q: 4, b: 1, c: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 9:46 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14763071 (base 8) to base 4.\nAnswer: 30332120321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 + 121 - 62)*(-7 + 6*t + 7) + (8 - 9 - 10)*(-t + 0*t - t - 4*t + 3*t + 3*t + (2 - 4 + 0)*(3*t - 2*t + t)).\nAnswer: 80*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 9:29 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1174334728 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 - v. Let h(m) = -12*m**2 - 4*m. Let f(x) = h(x) - 4*w(x). Let t(q) = 0*q + 0*q + q. Calculate t(f(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(208)*-1 + -4 + sqrt(208) + -1)**2 + (-1 + sqrt(208)*1)**2*6)*-2 + 4.\nAnswer: -2554 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 37072*w + 444716. Calculate b(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/12 and -125\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1759*-0.05\nAnswer: -87.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 201652*g**3 + 8*g**2 + 26770*g - 308 wrt g?\nAnswer: 1209912*g + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nineteen quarters of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(475))**2 + -1 + 5 + -3*sqrt(38)\/sqrt(2) + 3.\nAnswer: 17*sqrt(19) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -1 - 2*s**5 - 4*s**3 + 2*s**3 + 5. Find the third derivative of j(x) wrt x.\nAnswer: -240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-103)\/(-7) + ((3965\/35)\/(-13) - -9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006250 is divided by 9300?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**4 - 3 + y**2 - y + y with respect to y.\nAnswer: -4*y**3 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*i - 7562659 = -7532893 for i.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + h - 5*h - 1211, -728 = -3*g + h. Let i be -1 - (0 + -24) - (2 + -6). Calculate the greatest common divisor of i and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 13*k**2 + 24*k - 21. Is i(-15) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.4 + 27.2. Let m = -42 + 27. Let w = g + m. Which is the nearest to w? (a) 0.5 (b) 1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence myme when four letters picked without replacement from {m: 2, e: 14, y: 1}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -129*d + 41*d + 36*d - 84 + 48*d. Determine z(-19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*u - 403 = 2057 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7413.05 rounded to zero dps?\nAnswer: 7413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*s + 2*r, 2*s - 3*r + 13 = -6*r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.057347 - -106.057631. Let g = b - 96. What is g rounded to 5 dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 3*o - 3*o)*(-3 - 2 + 3) + 2*o + 8 + 6 - 7.\nAnswer: 4*o + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**2 + 26881455*h - 26881450 = 0. Calculate h.\nAnswer: 1, 5376290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 18 = 3*i, 0 = -5*u + 9*u + 5*i + 8. Let n be (-32)\/4*(-2)\/4. Sort 1, -1, n, u in descending order.\nAnswer: n, u, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 4 = -3*r - i, -3*i = -2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/(j*j**(3\/4))*j))**(-10)\/(j\/((j**6*j)\/j)*(j\/(j\/j**(-12))*j)\/j) assuming j is positive.\nAnswer: j**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6890798*b**2 + 551642 with respect to b.\nAnswer: -13781596*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**3*t\/t**(1\/2)*t**1\/(t**3\/t*t))\/(t**(3\/7)\/((t*((t\/(t**6\/t*t))\/t)\/t*t)\/t))**(-41\/2) assuming t is positive.\nAnswer: t**(940\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (3 - 2)*5. Suppose -7*y = -b*y - 2. Let c(f) = -f + 3. Let t be c(0). What is the closest to y in -0.4, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 84*k**4 - 3*k**3 - k - 361. Let q(y) = -169*y**4 + 5*y**3 + 2*y + 721. Let d(t) = -5*g(t) - 3*q(t). What is the second derivative of d(h) wrt h?\nAnswer: 1044*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31383144 divided by 435877?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 139190440 to the power of 1\/2, to the nearest integer?\nAnswer: 11798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-five quarters of a milligram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2059459 + -1443026. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 3*p + 36, -2265*f + 2249*f - 4*p + 108 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1120800 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -986819795*j - 1180757176 wrt j?\nAnswer: -986819795","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(176\/(-99)) - -22. Let x(j) = j**3 - 2*j**2 - 1 - 2*j - j**2 + 2*j**2 + 0*j**3. Let o be x(-1). Sort z, o, 4 in descending order.\nAnswer: z, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81828.\nAnswer: 2, 3, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 1 + 7*t - 8*t - 2*t**2 - t**3. Let g be c(0). Let f = 3.8 - -4.2. Is g >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + (-26)\/(-5))\/((-3)\/(-10)). Suppose 3*p + 14 = -3*v + 68, 0 = p - q*v + 2. Solve -5*u = 2*u - p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 158*j - 1. Let l(w) = -w**3 + 2*w**2 + 7*w + 8. Let v be l(4). What are the prime factors of x(v)?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1314\/36)\/(-1 - 27\/(-24)). Find the second derivative of 223*g**2 - 465*g + 1003*g - j*g wrt g.\nAnswer: 446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 295*g**3\/4 + 589*g**2\/4 + 293*g\/4 - 1\/4 = 0. Calculate g.\nAnswer: -1, 1\/295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 88 = 2*c + 3*i, -130 = -3*c + 4*i. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + (sqrt(143)\/(-1*sqrt(11)) - (sqrt(13) + sqrt(13) + 0)**2*-1 - (1 + sqrt(325) + -4 - sqrt(325) - sqrt(325))**2)).\nAnswer: 155*sqrt(13) + 1420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (268\/1608)\/(10\/(-12)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/25)\/(39045\/(-10275))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4 = 0, 4*t = -2*j + 4 - 0. Suppose y - 2*y = -3*f + 1, j = 2*y - 4*f + 6. Let x(w) = -w - 2. List the prime factors of x(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/434 + 671\/1736. Put -3\/2, m, -4\/5, -11\/3, 5 in descending order.\nAnswer: 5, m, -4\/5, -3\/2, -11\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 1658.\nAnswer: 6632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -11*s**4\/24 - 8*s**3\/3 + 4*s**2. What is the derivative of z(h) wrt h?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5, -3\/5, 4, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -5, -7 in decreasing order.\nAnswer: 2, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, r: 2, x: 4}. What is prob of picking 1 x and 1 r?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/479 or 0?\nAnswer: -2\/479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-315)\/(-49) - 42\/98\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/283, 2, -5, 1\/4 in descending order.\nAnswer: 2, 1\/4, 2\/283, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23710 + 23712. Which is the smallest value? (a) -7 (b) 0.5 (c) k (d) 0 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011437901 rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/25)\/(g**(1\/2)\/g)*g**(-2\/7)\/(g*g*g*g**(-1\/3)*g) assuming g is positive.\nAnswer: g**(-3541\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**8\/840 + y**7\/420 - y**6\/90 + 13*y**3\/6 - 9*y**2. Let z(o) be the first derivative of b(o). Determine p so that z(p) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1262*u**4 + 4*u + 42974 wrt u?\nAnswer: 5048*u**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -1681\/112 (c) 0.554\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.876 - 0.476. Let o = -2 - -1. Which is the third biggest value? (a) u (b) o (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/6 and 41\/339.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-30)*q*(q**13\/q)\/q assuming q is positive.\nAnswer: q**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**0\/t))**(-11)*(t\/(t**(2\/3)\/t))**(-2\/13) assuming t is positive.\nAnswer: t**(-866\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-1 - -9) - (0 + -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8418520 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 7*o = 27*o - 150372. Is o a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 20*x + 180 = 4*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9\/4391 - 49457\/28414161. Which is greater: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**3 - d**2. Let x be t(1). Suppose -3*g = -6 - x. Let a(p) = -4 - 3*p**3 + g + 4*p**3 + 2*p**2. Determine a(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**26*c**(-25))\/(c**(-2\/19))**(-17\/5) assuming c is positive.\nAnswer: c**(61\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i + 3. Let o(t) = -t**3 + t**2 - 4*t - 3. Give -3*o(g) - 4*u(g).\nAnswer: 3*g**3 - 3*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3533 - 3537 - d**2 + 5*d - 4*d**2 + d**3 + 0*d - 2*d**3. Give c(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2\/3 + 32084*b + 386018646 = 0. Calculate b.\nAnswer: -24063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4631.00006241 - 4631. Round p to six decimal places.\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k = 30*k - 18. Let q(b) = -3*b - 2. Let p be q(-2). Differentiate k*z**p - 2 - 12*z**4 + 1 with respect to z.\nAnswer: -36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 6 - -28 - (45 + -36)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Solve -27*o - 123 - 92 = -80 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27149.3nm in meters?\nAnswer: 0.0000271493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5393 = 2227. Suppose h = -0*w + 4*w. Let m be w*125*(-13 - 3). Round m to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -899712804.\nAnswer: -899712804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 3:09 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/12 - 0)*(-18)\/60. Let t = 0.4 - 0.2. What is the third biggest value in t, j, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(-5\/6)*x)\/x)*x**(-2\/31))**(-20\/7) assuming x is positive.\nAnswer: x**(-470\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40682864 to the nearest integer?\nAnswer: 6378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5385 or -666?\nAnswer: -666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435*l - 385*l + 806*l + 1.\nAnswer: -14*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -436.4 + 557.07. Round g to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/3)\/(w\/(w\/w**(-13))) assuming w is positive.\nAnswer: w**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 850 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8564363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 242 - 135. Let f = u - 58. Calculate the remainder when f is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 226 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.9, -2\/3, -25, -2\/13, -21, 64\/93?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/sqrt(45))**2 - sqrt(2450)\/sqrt(10).\nAnswer: -7*sqrt(5) + 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -303 divided by 1100\nAnswer: -303\/1100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365790677?\nAnswer: 7, 52255811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, d: 2, m: 4, c: 1}. What is prob of sequence dhd?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - -4312214?\nAnswer: 4312240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 6 = 5*m + 31, 0 = -4*m + 4*c - 20. Let f = -4 - m. What is the remainder when 3*(0 + 3) + 2 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-7) + -4 + 7)\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) 5 (b) 3\/59 (c) 3\/7 (d) -2 (e) 119\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-5\/6)*w*w)\/w*w**(-11))**(1\/43) assuming w is positive.\nAnswer: w**(-59\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 17 and -18\/5729 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x*x**(-2\/15)))\/x*x**2*x**3\/x**6*((x*x**(-2\/3)*x)\/x)**(-34)*((x\/(x*x*(x**0*x*x)\/x))\/x)\/x**(2\/7) assuming x is positive.\nAnswer: x**(-507\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1857621.632 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -31*y**2 + 23 + 70*y**2 + 30*y - 30*y**2. Let t(o) = 5*o**2 + 16*o + 12. Let l(r) = -6*k(r) + 11*t(r). Give l(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -168*y + 10605. Give g(58).\nAnswer: 861","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 91\/77 - 4\/22. Suppose 5*g - 4*l - 29 = 151, -144 = -4*g - j*l. Let i(v) = -45*v. Let k be i(-2). What is the greatest common divisor of k and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 0)\/((-2)\/4). Let u(b) = 6*b - 6. Let y(a) = 7*a - 7. Suppose 0 = 4*w + s + 22, -5*w + 16 = -9*w + 2*s. Give c*y(k) + w*u(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-5))\/((-21)\/(-1638)*-12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h - h + h + (1 - 1 - 1)*(h - 4*h + 5*h) + (-2 - 3 - 5 + 4)*(3252*h - 10235 + 10235).\nAnswer: -19516*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-12))\/((-9)\/18).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 1 - 1)\/(-2). Suppose -2*m + 34 = -l*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = v + 4*j - 15, 8 = 2*j. Suppose 6*l - 30 = v*l - i, -l - 5*i = 2. Suppose s - 5*s + l = 0. Solve -s*d + 5*u - 29 = 0, 0*d + 8 = d + 2*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1\/13 (c) 13\/8 (d) -1 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 6*u - u - 21, -78 = -5*o - 4*u. Suppose 4*x - 232 = c - 5*c, 174 = 3*x - 4*c. What is the least common multiple of o and x\/6 + (-2)\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17 and 14.9.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/6*-1 + 155974\/21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10296 divided by 1287\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -368237\/21450 - -2\/3575. Suppose -2*l - 4 = 2*t, 2*t - 2*l - 2 = -10. What is the common denominator of 0 - ((-24)\/(-10) + t) and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3151 - -2341?\nAnswer: 5532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 20 - 20. Let b(z) = z**2 + 6*z + 10. Let v be b(-4). Suppose -v*j - 3*a = 28, 5*a + 36 = j - 3*j. Calculate x(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3721327 to the power of 1\/2, to the nearest integer?\nAnswer: 1929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.064878 - 116.842122. Round k to the nearest integer.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -104.3 and -0.2.\nAnswer: 20.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -15. Suppose 3*o = 16 - t. Solve -2*y + o - 1 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2 - 14\/(-4). Let a(t) = -2*t**2 + 6*t - 5. Let f(s) = -s**2. Let q(v) = a(v) - f(v). What is q(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54608*i + 221 = 54621*i for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-55))\/(4\/(-10)). Suppose -3*c - 19 = -2*c - 5*t, 5*c + 4*t = 21. Are c and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.35*182680.\nAnswer: 63938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 959 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4212?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3) + (7 - 9) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 f when three letters picked without replacement from zfzfffffzfiizffffzf?\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 4*n**2 + n - 1. Let x be (3 - 6)*(-8)\/6. Let r be c(x). Suppose 4*z = r*o + 23, -2*o - 20 - 6 = -4*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2783 - 639.12.\nAnswer: -3422.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Let d be 3 - 198\/77 - (4 + (-535)\/140). Solve -3\/4*b**2 + j + 3\/4*b**3 - 1\/4*b**4 + d*b = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -4 + (sqrt(1700) - (-1 + sqrt(1700) - sqrt(1700))) + -6*(sqrt(1700) + -1) + -1)*-6*4)**2.\nAnswer: -172800*sqrt(17) + 24485184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -4 + 1 + 5 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -639*i**2*q - 7*i + 9247*q wrt i.\nAnswer: -1278*i*q - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - 0. Let c = -40.1 - -40. Let m = 6.1 - 6. What is the nearest to -0.2 in m, c, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.07, -0.04, -4, -0.1, 2\/13, 0.2, 2\/2967?\nAnswer: 2\/2967","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -18. What is the highest common divisor of u and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -18*p - 3*p**2 + 28*p - 10*p + 18. Let x(u) = -3*u**2. Give x(l(j)).\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24706045 and 19004650?\nAnswer: 247060450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -144 + 52. Let s = z - -107. What is the remainder when 27 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1580.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*r = 203*r - 4*n - 23, -n + 4 = -2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 187\/13, -4\/101?\nAnswer: -4\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 12:44 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13\/66 (b) 7 (c) 0.3 (d) 4\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1067 = 3*l, -3*l + 3*o = 915 + 177. Let y = 10519 + -10520. Is y at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/2 - 11855*m**4\/6 - 43549*m**3\/3 - 25*m**2 + 593975*m\/6 - 494875\/6 = 0. Calculate m.\nAnswer: -5, 1, 5\/3, 3959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/((21\/(-12))\/(-7)). Which is smaller: x or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -78, -118, -194, -318, -502, -758, -1098?\nAnswer: -1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -12.3. Put 20, 3\/7, g in ascending order.\nAnswer: g, 3\/7, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*s - 9*s - 2*s. Solve -v + 6*v - 5 = s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 788 and 8?\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 127842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + 408)\/(-4 - -6).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 293338 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 3*r**2 - 7*r**2)*(-6*r + 7*r + 6*r).\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48170640\/(-467460) - 2\/(-42)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 3:22 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -16 - 3 + 44 + t - t**3 - t**2. What is w(0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 2, -612 in ascending order.\nAnswer: -612, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -148, -203, -242, -259, -248?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.4 - -3. Let a = 348.495 - 359.6. Let o = 0.105 + a. Sort -2, o, f in descending order.\nAnswer: f, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/12 + 3\/4. Let v = -467 - -465. Which is smaller: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*x**4 - 2*x**3 - 30*x**2 + 2*x.\nAnswer: 816*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one twentieth of a second?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -244683, 4, -2 in descending order.\nAnswer: 4, 3, -2, -244683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 91*y + 3562. Let i be m(-30). Solve -6*a - i = -814 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 48 + 32. Suppose 8*g + 356 = 97*g. Solve -x - g*x = -s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*r**5 - 105*r**4 + 963*r**3 + 1869*r**2 - 11595*r + 6300 = 0. What is r?\nAnswer: -7, -5, 5\/8, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(4\/(32\/9)*(-32)\/24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -760 (base 8) in base 16?\nAnswer: -1f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 70*h + 830. What is j(-12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/42)\/i)\/(i*i**(-8)\/i))\/((i**(-15)*i)\/(i\/(i\/(i**(9\/8)\/i)))))**24 assuming i is positive.\nAnswer: i**(3545\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5704.44 take away 65?\nAnswer: -5769.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -218*k**3 + 2324784 - 2324784 + 50*k**2 in the form r + c*k + j*k**2 + u*k**3 and give j.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3519.5 - 0.3.\nAnswer: -3519.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 7:15 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbb when three letters picked without replacement from pikmimbqibbbpiqbik?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 21 - 17 = 0. Let s(x) be the second derivative of -x**4\/12 - 2*x. Let j(m) = -2*m - 100*m**2 + 108*m**2 + 4*m. Calculate z*j(h) + 6*s(h).\nAnswer: 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + f - 12. Let i be x(-4). Does i = -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 86*d. Let b(m) = 119*m**2. Calculate q(b(y)).\nAnswer: 10234*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**4\/12 + h**3\/6 - h**2. Let d = 8 - -12. What is the remainder when d is divided by a(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7447, -14885, -22333, -29797, -37283, -44797, -52345, -59933?\n\"Answer: -f**3 + f**2 - 7434*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62580 is divided by 3982?\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-17))\/(g*g\/g**6))**(-45) assuming g is positive.\nAnswer: g**(-990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253.7mm to meters.\nAnswer: 0.2537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 108896? (a) -1 (b) 7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106923775 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001 - 10110110111111?\nAnswer: -10110110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5612*a**2 + 10571*a**2 - 4974*a**2.\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167606781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5*s + 4*s - 3 = 0, 3*d - s - 3 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**6\/120 + 7*n**5\/30 + 2*n**4\/3 - 17*n**3\/6 + 2*n**2. Let r be f(15). Does 13 divide 57*-5*r\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 15 = -0*x, -4*x - 10 = 6*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 222043310 (base 5) in base 9?\nAnswer: 1740832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, e: 2, t: 1, k: 1, o: 2}. Give prob of sequence zzto.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4 = 2*n. Let q = 1501 + -222. Let o = 70347\/55 - q. Which is smaller: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -350 (base 15) to base 2\nAnswer: -1011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20909)\/245 - 198\/110. Which is greater: -88 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*x + 391*x - 374*x**3 - 156*x - 87*x.\nAnswer: -374*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by -12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 + 4*h. Let q(c) be the second derivative of c**5\/120 + c**3\/2 + c. Let z(l) be the second derivative of q(l). What is -x(r) + 4*z(r)?\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1515 - -0.8515. Which is the nearest to 0? (a) 2\/15 (b) o (c) 10 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48 - -8)\/5 - -273. Calculate the greatest common divisor of 106 and v.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 3644.\nAnswer: -36.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 13 + 12)*(-2*k**2 + 8*k**2 - 23*k**2).\nAnswer: -153*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104 or 1334\/13?\nAnswer: 1334\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llll. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.63394 litres to millilitres.\nAnswer: 91633.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 15*l**2 - 60*l + 95. What is the smallest common multiple of g(10) and 513?\nAnswer: 17955","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*0 - -121. Let a = -3023\/25 + p. Let q = 9 + -10. Which is greater: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 3 - d - d**2 - 1\/4*d**4 - 4\/3*d**3. Give b(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(1*2))\/((1081\/(-207))\/(-47)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-189)\/(-14) - (-9)\/6. Suppose -j + q = 2*j - t, 0 = -2*j - q + 10. Suppose -3*l + j*l = 24. Solve 0 = -4*d + 8 + l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-820)\/41*-140*14\/(-2800).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(4\/(-6))*24. Let o be 8\/v + 0\/(-2). Let m(j) = j**3 + 4*j**2 - 5*j - 5. Let t be m(-5). Which is the second smallest value? (a) t (b) o (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89*l**4 + 162*l**2 + 13785*l + 1?\nAnswer: -1068*l**2 + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-1) + (-4)\/4 + 900\/(-144). Which is the biggest value? (a) -6 (b) n (c) -0.4 (d) 0.3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-22995118)\/(-850) - 16\/200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (340\/(-561))\/(180\/108).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 1\/42808970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -18. Let x = 20 - a. Suppose -6*u + x = -5*u. Calculate the greatest common factor of 180 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20278 = -1359*y + 43306 - 13301 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313495628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-260)\/80)\/(-13))\/((-1406)\/(-608)).\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x. Let z(y) = -15*y - 11*y - 10*y + 94*y. Determine t(z(j)).\nAnswer: -174*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 701265641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*d - 45 + 46 + 5*d + (-4 + 6 - 1)*(0*d + 0*d - d).\nAnswer: -9*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**2 + 2*z**2 - 6*z**2 + z + 4*z**2 - z + (0*z**2 + 5*z**2 - 4*z**2)*(-1 + 4 - 5) - 3*z**2 - 170 + 4*z + 170.\nAnswer: -2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 82 = -3*o, 6*o = -4*p + o - 86. Let k = -34 - p. List the prime factors of -5*(1 - (-48)\/k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 18*v - 58*v - 18*v.\nAnswer: -58*v + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 513080813 a multiple of 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 4444, -14, 2\/5, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.141 - -0.259. What is the second biggest value in -1, -1\/4, t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3101804 - 6?\nAnswer: -3101810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 18865034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -281 + 428. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 1. Let z be i(-1). Let p = 5 + -2. Suppose p*t - 6 = 3*u, t + 2*t - 10 = -u. Which is smaller: u or z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 + (6\/(-18))\/(5\/135). Solve 4*d + 11*d + 30 = p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**4\/12 - l**3\/6 - l**2\/2 - 13*l. Let u(g) = 6*g**2 + 6*g + 3. Give 4*b(z) + u(z).\nAnswer: 2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4447*h - 160552 + 44930 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -211602*8.4.\nAnswer: -1777456.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6)*4\/(-1)*(-16167)\/(-1268)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -9*j**2 - 5*j + 7. Let w(t) be the first derivative of 4*t - 5\/3*t**3 - 3\/2*t**2 - 2. Let x(p) = 4*a(p) - 7*w(p). Factor x(u).\nAnswer: -u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((2*(sqrt(152) - -6*2*sqrt(152)))\/((sqrt(392)*-2 - sqrt(392)) + sqrt(392) - (sqrt(160)\/sqrt(5) + sqrt(32) + sqrt(32)))*2)**2.\nAnswer: 3286\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38.80936 - 38.8. Round m to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*u + 334, 10*u - 10 = 5*u. Calculate the remainder when k is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12\/59 + -837\/236. Find the common denominator of 23\/8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(567) + (sqrt(567) + -2*sqrt(567) - sqrt(567)) + sqrt(567))*-3 + sqrt(567))**2*6.\nAnswer: 6804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3978733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 25, 0.1, -20?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/8 of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*f + 108*f - 3*r - 559 = 0, -28 = -f + 4*r for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 plus 6545515750639?\nAnswer: 6545515750639.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1197268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/10719 and -33\/66299?\nAnswer: 1790073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from hkhkxhxhpxxppiihxhph.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 + 4*j**4 - 2*j**3 - 8*j**2 + j + 4.\nAnswer: (j - 1)**2*(j + 1)**2*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-30) - -1)*(-10)\/(-28)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**3\/6 + d. Suppose 3*c = -24 + 9, -4*k - c = -7. Let o(p) = -k + 4*p + 3. Calculate f(o(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 219390 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffazupuupz. Give prob of sequence zu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10916.\nAnswer: 2, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*h**3 - h**2 + 2*h**3 - h**2 + 2*h + 2*h**3 in the form r*h**2 + a + g*h**3 + l*h and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 564 - 879. Let s = -314.839 - v. What is s rounded to two decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1635)\/6*(-16)\/20. Suppose b - 4*d - 68 = 3*b, 2*d - x = 5*b. Let p = b - -45. Is p at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198423.\nAnswer: 3, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 18627570.\nAnswer: 18627569.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/104902 and -61\/1161415.\nAnswer: 16259810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**3\/3 + 52*p**2\/3 - 92*p = 0.\nAnswer: 0, 6, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1706373616 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/(-2) - 3\/6. Let p(k) = -19 - 15 + k + 48 - 15. Calculate p(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110222210102020 + -12?\nAnswer: 110222210102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**4 + 4*u - 4*u + (0*u**2 - 7*u**2 - 21*u**2)*(3 - 2*u**2 - 3).\nAnswer: 59*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*h - 9*h - 5*h)*((h - 1 + 1)*(1 - 2 - 3) - 2*h + 0*h + h)*(-4 - 13 + 25).\nAnswer: -320*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106218005, -106217995, -106217985, -106217975, -106217965?\nAnswer: -106217955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5*-7.4\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 32, 33, 34?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129723 by -3.\nAnswer: 43241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4.52 or 2172?\nAnswer: 2172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55.4697216 - 14.145.\nAnswer: 41.3247216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 13*u**2 - 29*u + 19. Calculate v(11).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10610173 a multiple of 2369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**25)**(3\/35))**17)**(-8) assuming g is positive.\nAnswer: g**(-2040\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42634459, -85268921, -127903385, -170537851, -213172319?\nAnswer: -255806789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/117 - -1058\/585. Which is the nearest to -2? (a) -5 (b) -2\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 90.82085ng?\nAnswer: 0.00009082085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.08, 1\/2, 0.12, -1\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 292199382 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 + r**3 - 2*r**3 - 2*r**2 - 29186.\nAnswer: -r**3 - 2*r**2 - 29186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (3 + (2 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, n: 1, z: 2, g: 1}. What is prob of picking 2 u and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + 1. Let t(v) = -6*v**2 - 9*v - 15. Suppose 0 = 23*x - 28*x + 30. Let p(s) = 3*s**2 + 5*s + 8. Calculate h*p(o) + x*t(o).\nAnswer: -3*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -1711*a**3\/3 - 2626*a**2 + 946. What is the second derivative of f(q) wrt q?\nAnswer: -3422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 32. Let m(s) = 1. Let r(j) = -j. Calculate b*r(i) - 2*m(i).\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**2 + 42 - 43 + 8*t**2. Let m be q(-1). Suppose 1 - 21 = -5*a, 3*n - m*a = 51. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 8*v**2 + 8*v - 3. Let r be d(7). Suppose 3*g = 7*g + 12, 0 = 2*b + r*g - 4. Suppose -7*s + 49 + 2*s - s**3 - b*s**2 + 1 = 0. What is s?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -144*1\/(6\/(-250000)). Round o to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.9 and -9?\nAnswer: 125.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1921580 - 9?\nAnswer: 1921571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 2*c**2 + 2*c + 46. Suppose 12 = 8*f - 5*f. Suppose 0*r + 5 = s + r, -3*r + 15 = -f*s. What is the remainder when i(s) is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, f: 5}. What is prob of picking 1 p and 3 f?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-4)*-1 - -2. Let w(t) = 3*t**3 + 2*t**2 - 13*t - 9. Is w(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2. Suppose -9 = -q - 6. Suppose -3*u + v + 22 + 15 = 0, 51 = 4*u - q*v. Let r(k) = -13 + 25 - 7*k - u. Determine a(r(w)).\nAnswer: 98*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - c = 24940 - 24884, -2*k - 10 = -c for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 460*v**2 - 1 - 1401*v**2 + 468*v**2 + 470*v**2.\nAnswer: -3*v**2 + 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8910 by 90.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1936, 16051, 54362, 128965, 251956?\n\"Answer: 2016*y**3 + 2*y**2 - 3*y - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 g, and 1 z when three letters picked without replacement from vvnzgwzw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*x + 351346 = 1305166 + 332172. What are the prime factors of x?\nAnswer: 53, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61943?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19*c**2 - 2*c**2 - 11*c**2 + 6*c**2)*(-5*c + 2*c**2 + 5*c) to m*c**4 + l*c**2 + x + t*c**3 + a*c and give m.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2932895 divided by -15.\nAnswer: 586579\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 206640 + 9?\nAnswer: 206649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a week in minutes?\nAnswer: 11088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -1 - (6 + -3 + -516). Suppose 4*p = -4*z + u, -4*z + 3*z + 3*p = -140. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 - -59.4. Put 4\/3, -1\/3, n in ascending order.\nAnswer: -1\/3, n, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16, 94, 396, 986, 1960, 3414?\n\"Answer: 16*g**3 - 2*g - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -4 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 4055000. Let y(x) = x - 45. Let h be y(45). Let u be n(h). Round u to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.54899 + -3.45096. Let x = 9 + -13. Let z = x - h. Round z to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 4*f**2 + 5. Let y be d(4). Suppose 3*q = -4*t - 61, -y*q + 3*t - t = 93. List the prime factors of q\/1*-1 - 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, b: 2, p: 7, u: 1, l: 4}. Give prob of picking 2 i and 1 b.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s - s + 4*s - 23*s in the form a*s + t and give a.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2343945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*y + 204, 3*l + 57 = -y - 2*l. Calculate the remainder when (y\/(-4))\/(-7)*148\/(-6) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4130336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b - 765 = -9. Suppose b*a - 120 = 16*a. What is the remainder when 33 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 35 = 3. Which is the closest to 5? (a) f (b) -0.2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26344768 at least as big as 26344768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*b = 469112 + 1016638. Does 35 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 100\/50 + 2 + (-44)\/12. Which is the smallest value? (a) -2\/15 (b) -2 (c) 0.5 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + 5. Suppose -4*o + 8*o = f. Solve -3*z + j - 7 = -0*z, -o = 4*z - j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {u: 2, o: 1, i: 4, s: 1, e: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 - 2*t - 2. Suppose -5*f + 9 + 2 = -4*n, -f = 3*n + 13. Suppose o = -2*o - 2*w + 22, 0 = -4*o - w + 26. Let g = o + n. Determine i(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457948531?\nAnswer: 20747, 22073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3.7 times 7.92\nAnswer: 29.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.09954\nAnswer: 0.29862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -233396, -467096, -700798, -934502?\n\"Answer: -a**2 - 233697*a + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6481995 is divided by 206.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) 5 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12480\/14400*6\/13*15\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 1292*a + 24192. Determine v(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 183, 332, 531, 774, 1055, 1368, 1707?\nAnswer: 2066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - v - 6 = -2*l, -l = -v - 2. Find the second derivative of -6*g**4 + g + 0*g**4 + 0*g**l wrt g.\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/68 and 21\/16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-2) - 2)*(0 + 0). Which is smaller: 2\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258 = -37*u - 6*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/581 in -0.1, 1, 3.1, 1\/3, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1162305?\nAnswer: 3, 5, 23, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 5. Let y be a(-12). Let f = y - -19. Let t be 1\/f + -1 + 1. What is the third smallest value in t, 0.4, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a millennium in decades?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5. Let c be 1\/(-1) + -42 + 38. Let h(g) = g - 35. Calculate c*h(a) + 35*n(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -13. Let h = -0.2 + 0.4. Is r != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 30*c - 1277. Determine f(-10).\nAnswer: -1577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g + 34. Let y be o(14). What is the units digit of -9*(2 - 32\/y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60917 is divided by 60889.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.05 - -5.1. Let i = -3.94 - g. Let b = -1.99000139 - i. Round b to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -186*v**2 + v - 2859. Let p(x) = 5*x. Give s(p(g)).\nAnswer: -4650*g**2 + 5*g - 2859","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80.4 - 80.399998802. Round g to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*a + a + 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 290653897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 42, 49, 54, 57, 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30498834283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 167854.5033 rounded to zero decimal places?\nAnswer: 167855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 39, 46, 55, 66, 79?\n\"Answer: f**2 + 4*f + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -274.31211891 rounded to one decimal place?\nAnswer: -274.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 + 680*i**3 - 25050*i**2 + 130000*i - 105625.\nAnswer: -5*(i - 65)**2*(i - 5)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*t - 4*t - 4*t)*(0 + 1 + 0)*(-t**2 + 3*t**2 + 0*t**2).\nAnswer: -34*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1095, -739, 1181, 4659, 9689?\nAnswer: 16265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*f, i + 5*f = -0*i - 8. Suppose 0 = -z + 2*y + i*y + 447, -5*z - y = -2172. Suppose -6*m + z = -3*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2542.892 millennia to centuries.\nAnswer: 25428.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from {c: 2, z: 4, i: 1, k: 2, g: 2, y: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 10*x**2 + 27*x + 47. Let q = 70 - 82. Calculate the smallest common multiple of n(q) and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26.1 - -25.622. Let o = 1.892 - t. Let p = -0.37 + o. Is -1\/4 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -624197.78 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6415 - 6395. Let h be 1*65 + (-1)\/1. Suppose -x = 4*v, q + 2*q + 4*v - h = 0. What is the remainder when 109 is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100 - 105. What is the closest to 0 in -3\/7, 6, n?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -2 (b) -0.5 (c) -3\/2 (d) 0.5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 24 = -2*u - 16, 372*u = -f + 376*u + 26 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 159 - -1710. Let z = -988977\/560 - 8369\/80. Let x = g + z. Calculate the common denominator of 41\/4 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((48\/(-112))\/((-10)\/7))\/((-108)\/1980)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -252a (base 12) in base 5?\nAnswer: -113320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67644 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -1485, -1.\nAnswer: -1485, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1751*h**3*v - 2*h**3 + 57*h**2*v + 1300069*v wrt h?\nAnswer: 5253*h**2*v - 6*h**2 + 114*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -131731791?\nAnswer: -4\/131731791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 1\/4 (c) 3 (d) 0.3 (e) -20 (f) -41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1+8.22\nAnswer: 9.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6422 + 457 = 5*b, 0 = -5*z - 5*b + 5945. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1528570212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 191143 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 10) in base 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k - 20 = 0. Let d be k\/(-8)*(-2)\/1. Is (156\/(-30))\/((-1)\/d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from aaamjjemetee.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**6\/660 + x**5\/55 + 5*x**4\/132 - 4*x**3\/11 - 180*x**2. Suppose b(t) = 0. What is t?\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -99424.\nAnswer: 695968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 28 - (2 - (14 - 1))) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 d, and 1 p when three letters picked without replacement from {d: 1, u: 5, i: 3, p: 11}?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 + 0*d**2 - d**2 + (2*d - d - 2*d)*(d + d + 0*d) - 2*d**2 - 2*d**2 + 0*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(2\/11)))\/u*u**(-2\/15)*u**13\/u**11 assuming u is positive.\nAnswer: u**(173\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 344330 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(20756\/5188 + -4) + 4 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 - -75. Let l be 12\/7 + (-4)\/(-14). Suppose -l*v = v - t. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2. Let y(d) = -2*d - 3. Let b be y(-3). Let q(i) = 13*i + 1 + b - 4. What is h(q(x))?\nAnswer: -338*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6.7 * 2\nAnswer: -13.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 6 (b) -14 (c) 3 (d) 39 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -458912 divided by -114728?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*k - 15. Let f = -3 + k. Let o(d) = -2*d**2 + d**f + 3*d**2 - d**2. Let v(x) = -2*x. Calculate o(v(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 5*b = -17, 6*f + b - 11 = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 113.7, 0, 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 357291318 to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 235, -11, 7, 3 in decreasing order.\nAnswer: 235, 7, 3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.274 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 + (-23)\/(-3))*-12. What is the smallest value in -0.2, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -14*x. Let t(q) = 252*q**2. Calculate t(a(o)).\nAnswer: 49392*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r. Suppose -4*t + 24 = -0*b - 2*b, -4*t = -4*b - 28. Let u be -1 + (1 - 2) + t. Let w(x) = 3 + 2*x**2 - u. Determine a(w(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (16 - 32) + -5 + (13 - 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30\/37 in 3, 1, 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/6 and 149\/16458.\nAnswer: 16458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28.348 and 20155034?\nAnswer: 20155062.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16167147 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: What is the square root of 1009447565 to the nearest integer?\nAnswer: 31772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65\/4 + 16. Let h = 0.0951 - 1.0951. Which is the second biggest value? (a) h (b) 3 (c) g (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*b**2 + 4395485*a**2*b*o - 2*a*b + 4709*b**2*o + 3488*o wrt a?\nAnswer: -4*b**2 + 8790970*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -184*n + 166*n + 16. Which is the nearest to n? (a) 0.2 (b) -2\/13 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1124, 682, -50, -1072, -2384, -3986, -5878?\nAnswer: -8060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0385 - 7.23914\nAnswer: -7.27764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4375, 4368, 4379, 4414, 4479, 4580, 4723?\nAnswer: 4914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*o - 40, 78*z - 81*z - 5*o = 0. Let l(s) = 50*s**2 - 14*s - 38. What is the units digit of l(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2979 - -5?\nAnswer: 2983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 284*b - 18. Let r be n(1). Let v = -271 + r. Does -10 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(343))**2 + (3*sqrt(14))\/sqrt(2).\nAnswer: 3*sqrt(7) + 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 139\/3247, -4, -0.5, -0.3?\nAnswer: 139\/3247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkzkzkkzzkzkzkktkkz. Give prob of picking 3 k.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1333*g**2 + 17*g - 10. Let b be m(-6). Round b to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 116102 to the power of 1\/2, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = q + 3*c, 2*q + 3*c + 1 + 0 = 0. Suppose -i + 0*i + 56 = 3*r, q*r = -2*i + 76. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 3:12 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/3 - 6\/9. Let n = -1.2 + 1.2. Which is the biggest value? (a) 4\/3 (b) n (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 - 88. What is the second biggest value in k, 11, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, j: 1}. What is prob of picking 3 y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 35322 divided by -17661?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6)*39\/(-2). Let y = 30 + x. Solve -3*h = -q + y, h - 5*h - 16 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53798 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2853, 3, -1 in descending order.\nAnswer: 3, -1, -2853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -23900\nAnswer: 310700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3216024*b**2 - 1608009*b**2 - 1608015*b**2 + 4475*b**3 - 4478*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3121 - 1220130330?\nAnswer: -1220121203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evbx when four letters picked without replacement from xeeefeebbv.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -0.123, -0.5, 5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**4 + 40*o**3 - 132*o**2 + 176*o - 80 = 0.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-245 + 241)\/(1\/(-3) - 0). Suppose r - 76 = 56. What is the greatest common divisor of r and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127748*n**2 + 89*n + 127.\nAnswer: 255496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.357 rounded to zero decimal places?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3\/7 + 150*x**2\/7 + 528*x + 30008\/7 = 0.\nAnswer: -31, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 + 1 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*h = -201*h + 2. Sort 1, h, -4, -5 in decreasing order.\nAnswer: h, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1023847*j**3*p**3*s + 779630*j**3*p**3 wrt s?\nAnswer: -1023847*j**3*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 242325*k**3 - 183545 with respect to k.\nAnswer: 726975*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 27. Suppose -m - 15 = -u*r - r, 0 = -4*r - m + 20. Find the first derivative of 3*x**4 + r*x**4 - 3 - 6 + x**4 wrt x.\nAnswer: 36*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-25118)\/(-76))\/((-2)\/(-4))?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.9 + 22.8485. What is y rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2048 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k**2 + 4887*k - 24556. Determine o(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 93, 189, 285?\n\"Answer: 96*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*y + 3)*(6 - 2*y**3 - 6) + (-2*y - 2*y + 2*y)*(697 - 697 + 62*y**3).\nAnswer: -120*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 9 - 23. Suppose -8*f - l*f + 30 = 0. Let g(i) = -10*i**f - 121*i + 121*i - 10*i**2. Let x(y) = y. Calculate g(x(t)).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -28, 2, -721, 5, 8, -3 in descending order.\nAnswer: 8, 5, 2, -3, -14, -28, -721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.18 + 0.08. What is the nearest to 0.1 in u, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 221101?\nAnswer: 221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = 10*p + 111 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 806684 divided by -6.\nAnswer: -403342\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(6\/5)\/z**(-19) assuming z is positive.\nAnswer: z**(101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/42)\/((-3)\/48). What is the biggest value in d, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 10 = -2*v, -5*v = j - 3 - 4. Solve 3\/5*l**j - 3\/5*l - 18\/5 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 15. Let i = z - -14. Let d = 19.1 + -23.1. What is the second biggest value in d, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/2440200 and -31\/109809?\nAnswer: 21961800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -0.1, 6, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**5 - 1120*z**4 + 77268*z**3 + 159048*z**2 = 0. Calculate z.\nAnswer: -2, 0, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23235, -46056, -68875, -91692, -114507?\nAnswer: -137320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**5 - 64*v - 16 - 182*v**2 - 135*v**2 - 76*v**3 + 217*v**2 - 28*v**4 = 0 for v.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 731 + -504. Suppose -6*t + r = -7. Let b = t + -37. Solve b*y - 6 = -0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92275236*z**2 + 138749064*z - 52157284.\nAnswer: -4*(4803*z - 3611)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011101100 (base 2) to base 6.\nAnswer: -12112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8)*-2)\/(5 - 6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 525*o**4\/2 + o**3\/6 + 20*o**2 + 6013*o. What is the second derivative of a(m) wrt m?\nAnswer: 6300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 950, 1898, 2846, 3794, 4742?\nAnswer: 5690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22100221 (base 3) to base 8.\nAnswer: 13724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a = -15*a - 21 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*k + d - 8, 0 = 5*d - 10. What is the common denominator of -103\/10 and (k + 3)*548\/72?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-12))\/((-4)\/(-18)). Solve -2*b + 1 = 3*t + 6, b = -p*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**3 - 3*w**2 + 3*w - 5. Let b(j) = 2*j**3 + 2*j**2 - 2*j + 3. Suppose 5*h + 2*h = 63. Suppose 0 = -h*n - 9*n + 90. Determine n*b(r) + 3*u(r).\nAnswer: -2*r**3 + r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 12 - 48. Let b(a) = 2*a**3 - a + 1. Calculate the smallest common multiple of y and b(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvvvvdvvjdd. Give prob of sequence vv.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-305)\/(-610))\/((10\/(-12))\/1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2547?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.07, 4, -5848?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c70312 - 3?\nAnswer: -c70315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 5) + (-5 - -2). Let j = x - -229. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -86994 equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 b when three letters picked without replacement from {b: 3, a: 15}.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 10*j**3\/3 - 9*j**2\/2 + 39*j - 8. Let b be z(16). Let u = b + -414894\/169. Is -1 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 16. Let i = -14 - u. Solve -i*g = -p - 5, 5*p - 1 = -g - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1797?\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218 - (33 - -16717)\/134.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohmom. Give prob of sequence hmh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q. Let p(a) be the first derivative of 3 + 0*a + 3\/2*a**2. What is p(g(z))?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*j + 100699 + 9994 = -102859. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(5\/4)*w)\/w*w**(2\/21)\/w)**32 assuming w is positive.\nAnswer: w**(904\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 655.8 times -3?\nAnswer: -1967.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 3. Let o be s(5). Calculate the remainder when 25\/4*((-12)\/33)\/(14\/(-154)) is divided by (o*-1)\/((-4)\/18).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1. Let u = 4 + -3. Let a(j) = j - 5. Let q(x) = u*a(x) - 4*h(x). Let t be (0\/(-17))\/(0 - -3). What is q(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38258, -38253, -38256, -38273, -38310, -38373, -38468?\nAnswer: -38601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103 - 26. What is the highest common divisor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-1 + 6 - (-29 - -27))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 502 (base 8) to base 13.\nAnswer: 1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6.5, -2\/5, -3\/2 in descending order.\nAnswer: 6.5, -2\/5, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -487*k**2 - 2*k + 20. Let a = 151 - 88. Let d be 8\/(-6)*a\/14. Let z be j(d). Round z to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 less than 30915786802.1?\nAnswer: 30915786801.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -157*o**4*v - o**4 + 150*o*v + 1 wrt o?\nAnswer: -1884*o**2*v - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -15. Let z be -1*(-75)\/(-3)*v. Suppose 3*m = 4*c - 140, 4*c + 5*m = -c + z. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-15) + 112\/16 + (-44)\/6. What is the smallest value in 2, -3\/5, -0.3, 0.6, t?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/20 - 6\/20. Do -1 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t - 7656 = -51*t. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1996.448nm to millimeters.\nAnswer: 0.001996448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 180 - 172 = 0. What are the prime factors of (-8)\/12 + q\/(-6)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101437 + -396.14418?\nAnswer: -101833.14418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 6 = 3*h, -28*u + 5*h = -29*u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -323.61 - -324. Let g = -29.51 - -30. Let r = g - w. Which is the third biggest value? (a) 0 (b) -1 (c) r (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 divided by -1?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s**2 + 5*s. Let l(i) be the third derivative of 3*i**5\/20 - 1762*i**2. Determine l(h(a)).\nAnswer: 576*a**4 - 720*a**3 + 225*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-9)*(-3)\/(-2). Suppose -2*m = 2*g - 14, -5 = -3*m - 2. What is the remainder when g is divided by -6*q\/(-6)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(2*(-1)\/9). What is the tens digit of (35\/(-14))\/(3\/v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414 + 175 + 110 = 126*u + 501 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -58870, -58883, -58900, -58921, -58946, -58975?\n\"Answer: -2*g**2 - 7*g - 58861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4216228.\nAnswer: 2, 107, 9851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = m - 52, -3*m = -4*c - 0*m + 34. Suppose 96 = -7*h + c*h. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 660 and 4998180?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-225))\/((8\/18)\/(-2)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a = -21*a + 11. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 + -15 - -6)*(0 - 17). Suppose 11*s + 132 = m*s. Solve -2*j + 3*c - 11 = -0*j, -5*j = -2*c + s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-10)\/25)\/(20\/(-150))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**3\/2 + 5*k**2\/2 + 2*k. What is the first derivative of s(r) wrt r?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-12)\/6*1\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61775767 + 61783016.4166. Let t = x + -7240.41659992. Let k = t - 9. Round k to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c - 5 + 8*c + 8*c**3 - 5*c**3 to i*c + d + u*c**3 + f*c**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a decade?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + h + 8, 5*r = -2*h + 5*h + 40. Let d = r + -8. Calculate the remainder when 61 is divided by 14 - (-3 - -1 - d).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.61 + 1.72. Let j = -0.8793 - l. Round j to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4494232 is divided by 2246?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52350 and 450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**3 - 4*t**2 - 3*t + 3. Let h(s) = -15*s + s**3 + 16*s + 4 - 5 - s**3 + s**3. Give -g(m) - 3*h(m).\nAnswer: m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3*g = -27, 57 = 4*i + 2*g + 35 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*((-24)\/(-2) - 2). Suppose j - 176 = -x*j. Let c be 1*0*4\/j. Solve -4*b = -2*g - 9 - 3, 4*g + 2*b - 6 = c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19999 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: Let i = 489 + -488.784. Let l = 0.22086 - i. Round l to 4 decimal places.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/5 + 7113*f\/5 - 183896.\nAnswer: (f - 127)*(f + 7240)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15534433 (base 6) in base 8?\nAnswer: 2077725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12665462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -44. Let o = y + -37. Let w = 30 + o. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3062, -12253, -27580, -49043, -76642, -110377?\n\"Answer: -3068*j**2 + 13*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(-59)\/(1652\/728)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-380)\/(-8))\/(3\/6). Let r = t - 20. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 14*l**2. Let s(j) = -2*j - 7*j - 9*j. Calculate s(x(v)).\nAnswer: -252*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -481*z + 481*z - 11*z**2.\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -187464*n + 749843. What is p(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915159009.\nAnswer: 3, 305053003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q = 40. Let m(y) = -y**2 + 13*y - 5. Does 8 divide m(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 1272.\nAnswer: -1272.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 247412147548 - 0.2\nAnswer: 247412147547.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131*i**4*m**2 - i**3*m**3 - 2*i + 9*m**3 - 1 wrt i.\nAnswer: 1572*i**2*m**2 - 6*i*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l. Suppose -n = z - 6, 2*z = -0*n + 4*n. Let k(g) = -4*g + 1. What is n*k(j) + 5*d(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r**2 - 140*r - 6. Determine t(-13).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 5*b + 10 = b + 5*s, 27 = -5*b + 46*s - 98*s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -244 (b) -0.2 (c) -2 (d) 0.25 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/7 + 18756*b\/7 - 17993608\/7.\nAnswer: 4*(b - 817)*(b + 5506)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c - 1. Let a be g(-1). Let p = 7 + a. Is p < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.93873 rounded to two decimal places?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4, -12, -38, -74, -120, -176?\n\"Answer: -5*y**2 - y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 384, 2 in increasing order.\nAnswer: -4, -1, 2, 384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-8)*12*3520\/(-330).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 9:37 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.29024479 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2621 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - n**2 - n + 4. Determine i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggmgmmm. Give prob of picking 4 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -26.2. Let m = -25.8 + 26.6. Let y = k - m. Which is the nearest to 1? (a) -2 (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/19 - -15\/38. Which is the closest to -1? (a) -1\/4 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -149*k + 31*k**2 + 75*k + 25*k**2 + 73*k. Let r(j) = j. Give l(r(v)).\nAnswer: 56*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -10*n**2 - 4*n - 3. Let s(l) = 21*l**2 + 7*l + 5. Let k(v) = 5*q(v) + 3*s(v). Give k(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*(-8)\/12*6\/(-46)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.47 (b) -0.4 (c) 4 (d) -3\/5 (e) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -2*c - 1098. Let m = c - -1813. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 26. Let h be 264792\/340 + ((-2)\/(-2))\/5. Let g(t) = 2*t**2 + 394 - h + 385. Calculate n(g(b)).\nAnswer: -4*b**4 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017 + -3636.3?\nAnswer: -3636.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrv when three letters picked without replacement from {v: 5, r: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = 4*p, -46*i = -42*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a - a + 9*a + a + 5*a - 14*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (39 - (91 - 10))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 389\/222515 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**3 + 12*g**2 - 4*g - 4. Let u(l) = 6*l**3 - 13*l**2 + 5*l + 5. Let i(q) = 5*b(q) + 4*u(q). What is the third derivative of i(s) wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 + 42 = -24*m. Let q = -13 - -19. Suppose m*k = 42 + q. Solve -4*s = -3*g + 1 - 3, -2*g - 4*s = -k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -13*s**3 + 4*s**2 + 3*s - 76. Let m(z) = 41*z**3 - 11*z**2 - 8*z + 229. Let p = -272 - -283. Let k(y) = p*a(y) + 4*m(y). Differentiate k(n) wrt n.\nAnswer: 63*n**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 2, -63, 0, 20.\nAnswer: -63, -3, 0, 2, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 49226127?\nAnswer: 49226127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -42. Suppose -4*o - 3*y = -13, -2*o + p*y + 7 = -o. Suppose 0 = o*f + 2*j + j - 52, 3*j = 5*f - 65. Calculate the remainder when f is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (4 - (11 + -5)) + -2 + -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 598594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -46*t**2 - 10*t + 985. Let c(a) = -a. What is s(c(p))?\nAnswer: -46*p**2 + 10*p + 985","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*s + 1, 3*q + 12 = -5*s + 10*s. Let n be (-1)\/((-1)\/36*2). Sort q, n, 3 in decreasing order.\nAnswer: n, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 25\/2. Let f be 1*(-7)\/(-7)*-2. What is the nearest to -2\/29 in d, f, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from llxatnzlnnzntnn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**6\/120 - v**5\/15 - v**4\/12 + v**3 - 4*v**2. Is 21 a factor of z(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -212001018*z**3 - 34390562*z**2 wrt z?\nAnswer: -1272006108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 200300?\nAnswer: 200303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23435 and 5995.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7611 divided by -7611\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14\/676*(10\/21)\/((-465)\/(-558))\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h - h + 3*h)*(0*h + 1 + 0*h - 2*h).\nAnswer: 6*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 91*k**2 - 1819*k - 6018. Calculate v(-64).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -1)*(-2)\/(12 - 8). Let l(m) = -m. Let d(p) = 2*p. Let o(f) = q*d(f) - 5*l(f). Let r(t) = -22*t**2. Determine r(o(v)).\nAnswer: -198*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 6 = -g, -10253*g - 2*y = -10242*g + 106 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-18)*-4*(-2 + 11). Is 20\/v*(-2 - 10)\/2 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-9 - 29 - (5 - 14))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71320303?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*u + u = -9, -3*u = 2*f - 18. Suppose j + 3*j + 2*m = 2, -f = m. Solve 5*c - 10 = j*b, 2*b + 10 = 2*c - 6*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -43 - 7 - -8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q + 13*q - 8*q)*(0*q + 3*q - 4*q)*(-4 + 1 + 0 + 0 + 2 - 7 + 0 + 0 + 2 + (-2 + 3 - 2)*(-2 + 2 + 1) - 2 + 6 - 5 + 1 + 2 - 2).\nAnswer: 91*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 24 = 17*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.03 - 0.38. Let t = 7.65 - a. Which is greater: t or -5\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.62 - -1.6. Let q = c - -0.12. What is the closest to q in -5, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 611*t**5\/5 - 3*t**3\/2 - 3*t**2 + 1590*t. Find the second derivative of o(w) wrt w.\nAnswer: 14664*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*l = -1204615 - 1729505. What is the thousands digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 357 divide 419118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*y - 10*y - 412*y.\nAnswer: -623*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)*x\/(x*x**(-1\/4)))\/((x**1*x)\/x)**(5\/9) assuming x is positive.\nAnswer: x**(-263\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 69 + 75 = 0. Suppose -12*k - q = -16*k. Factor 4*g**3 + k*g**3 - 14*g**3 - 2*g**4.\nAnswer: -2*g**3*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15438404 to the nearest 10000.\nAnswer: 15440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4923 - 1773 + 7166 + 1492)*(0 - 1 + 3)*(-1 + 2 + 0)*(l + 2*l + 0*l) in the form x*l + k and give x.\nAnswer: 70848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 159*a**3 - 26*a**3 + 66*a**3 + (2 + a**3 - 2)*(0 - 2 + 4) + 3*a**3 - 7*a - 4*a**3 - 2*a to the form g*a + j + p*a**2 + w*a**3 and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2478.793cm in micrometers?\nAnswer: 24787930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -410*p**6 - 3930*p**2 wrt p?\nAnswer: -49200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16841213 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6129 a factor of 1345749342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and 11?\nAnswer: 1.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307, -1023, -2217, -3889?\nAnswer: -6039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -92575 divided by -575?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10794625?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48931, -195722, -440367, -782860, -1223195?\nAnswer: -1761366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 240.7 + -241. Let s = -1960\/9 + 218. Which is the nearest to -2? (a) k (b) 5 (c) -5 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13\/4577 or 0?\nAnswer: 13\/4577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/9)\/(((-44)\/(-24))\/(-11)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -1\/5 (b) -1\/1587 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 580013\/386670 + -4\/193335. Factor 9\/2*l**3 - r*l**4 - 9\/2*l + 0 + 3\/2*l**2.\nAnswer: -3*l*(l - 3)*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**8\/1008 - 11*g**7\/630 + g**6\/36 + 53*g**5\/90 + 133*g**4\/72 + 49*g**3\/18 - 2*g**2 - 18. Suppose l(v) = 0. Calculate v.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.3758 rounded to the nearest integer?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8*u - 25. Let z(f) = 95*f + 300. Let v(l) = 25*g(l) + 2*z(l). What is the hundreds digit of v(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7014*o**2 - 23541656 + 23541656.\nAnswer: -7014*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6473 + -6463. What is the closest to 3 in 3, -1, 2\/27, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3\/1)\/((-3)\/(-15 - 6)) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -227 (b) 32 (c) -86.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d - 4*d**3 + 13 - 5*d - 4. Let w(g) = 6*g**3 - 14. Give 8*u(y) + 5*w(y).\nAnswer: -2*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -351, -739, -1215, -1779, -2431, -3171, -3999?\nAnswer: -4915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 345 in -3\/7, -30.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1385 + 461 - 80)*(0 - 2*x + 0)*(-1 - 1 + 4)*(-4*x + 4*x - 2*x**2).\nAnswer: 14128*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 193595052 and 336?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/40 - (-47)\/((-14805)\/(-126)). Find x such that -1\/4*x**3 + 9\/4*x - c*x**2 + 9\/4 = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 753340 != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1 - 2*k - 1 + 4*k. Let u(x) = -7. Let d(g) = g. Let a(w) = 4*d(w) + u(w). Let l(f) = -f + 2. Let z(r) = -4*a(r) - 14*l(r). Give i(z(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2996\/3 + 998. What is the nearest to m in 0.2, 1, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/(2448\/(-120)))\/((-5)\/3)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -63925 divided by 4\nAnswer: -63925\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 205840 and 340.\nAnswer: 3499280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 w when four letters picked without replacement from zwwznzzw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 - 14*p**3 + 14*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/18)\/(((-48)\/12)\/(-12))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3) + (-44)\/3. Suppose -5*p + 4*p + 181 = 0. Let z = p + -178. Which is the nearest to -1? (a) m (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36875069 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -22*j + 484. Let y be x(23). Let z be (4\/(-6))\/(y\/66). Find t, given that -2 + 0*t + 1\/2*t**z = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3164*l**2 - 1054*l**2 - 1057*l**2 + 119 - 1051*l**2 - 731 in the form g*l**2 + c + t*l and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.02 - -2.92. Let u = 0.38 + 0.02. Which is the nearest to r? (a) u (b) 5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b - 3 + 2 + 3)*((-3*b + 5*b + 0*b)*(1 + 0 + 1) + b - b - 2*b + 2*b - 2*b - b + 38*b - 100*b + 33*b) to j*b + p*b**2 + z and give p.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + (-2 + sqrt(275))*3 + sqrt(275) + -1)**2.\nAnswer: -160*sqrt(11) + 4416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 7 = 5. Let b(q) = -q**2 - 5*q + 6. Calculate b(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*b**2*j*t - 612*b**2*t + b*j*t + b*t + 246*j*t + 2*t wrt b.\nAnswer: -56*j*t - 1224*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(246\/615 + (-8)\/10). Solve -3*n = -w*x + 1, -21*n - 3 = -5*x - 17*n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 1244 - 751 = 0. List the prime factors of t.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**2 + u + 2*u**3 + 20*u**4 - 11*u**4 - 7*u**4 to d + j*u**2 + n*u + v*u**3 + r*u**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93442110 divided by 94.\nAnswer: 994065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 4*f**2. What is j(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) + 3*sqrt(96) + sqrt(96))\/sqrt(2).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*x**5 - 10*x**2 + 15\/2*x**4 + 0*x**3 + 0*x + 0.\nAnswer: -5*x**2*(x - 2)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384027050 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - (5 + -3 + -5). Let q be (u + 11 + 1)*(150 - 149). Solve -q = -3*i + 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 2 + 1 - 2*q)*(46*q + 44*q**3 - 46*q).\nAnswer: 88*q**4 - 44*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386 + 450 = q. What are the prime factors of q?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/3)*w**(-1\/15)*w\/(w*w**16)*w\/w**(-12) assuming w is positive.\nAnswer: w**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - b?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 14. Suppose i - 10 = -5*m + 86, 4*i + 96 = l*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -35, 2\/13, 1366\/13?\nAnswer: 1366\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 6, -2 in decreasing order.\nAnswer: 6, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10038840 divided by -85.\nAnswer: 118104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 86\/30 + (-2 - (-4)\/(-4)). Let o = 6 - 4. Which is the closest to 1? (a) o (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2013 + -2008. Solve -5*y = z, -d + 27 = 4*d - 2*y for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(-4)\/16*135\/(-1890).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/5 + 28*x\/5.\nAnswer: -2*x*(x - 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57.7 + -68. Let j = i - -4.1. Let s = j + 6.1. Which is the second smallest value? (a) 0 (b) s (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -6*v. Let y = 2 + v. Let k(g) = -g**2 + g + 1. Let h(f) = -f - 1 + 0*f - 2*f**2 + f**3 + 3*f**2. Determine y*h(o) + 2*k(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1633.34 and -2.\nAnswer: -3266.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*c, 45275 = -6*w + 4*c + 45239 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -312905\/77148 - -3\/8572. Suppose 35 = -6*i - 25. Calculate the common denominator of q and (-202)\/(-40) + 7 + i.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 12*g + 144. Let h be t(-27). Let y = 167 + h. Sort 2\/3, y, 0.05 in descending order.\nAnswer: 2\/3, 0.05, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 1:09 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56169.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 9*b**2 - 8*b + 4. Let d be w(8). Suppose d*t = -4*l - 8, 0*t - 5*t = 4*l + 12. What is the derivative of -l*i + 0 + 6 - i - 2*i wrt i?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x. Let b(v) = -v + 1. Let h(o) = -3*o + 2. Let m(r) = 2*b(r) - h(r). Calculate m(l(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.84 (c) 0.3 (d) -4\/5 (e) 0.4 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -381293, -762584, -1143875, -1525166, -1906457?\nAnswer: -2287748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-186)\/18 - (-1)\/3. Let h(o) = -o**2 - 10*o - 2. Let j be h(g). Is ((-68)\/(-8))\/(j\/(-20)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -28. Find the third derivative of -25*n**j - 32*n**2 - 5061*n**3 + 5061*n**3 wrt n.\nAnswer: -3000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 - 63. What is the common denominator of 101\/94 and (-408)\/54 - 4\/m?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*y - 39*y = -18. Let x(a) = -2*a + 0 + 0. Determine x(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3234 (base 5) to base 14.\nAnswer: -23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 66, 124, 202, 306, 442, 616, 834?\nAnswer: 1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, -18, -32, -48, -66?\n\"Answer: -o**2 - 9*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*z = 18 - 34, k - 35*z + 172 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -29*x**4\/24 - 17*x**3\/3 + 25*x**2. Let w be d(-6). What is the greatest common factor of 56 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(1 + (-9)\/6). Let o be (i + (-2)\/(-3))*-1. Let j = -0.6 - -1.6. Which is the closest to j? (a) o (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -149606\/4449 = -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -9. Let a = 0.8 + -1. Let g = -58.66 - -53.66. What is the smallest value in a, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 4*q**3 + 2*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*p**3 + 8*p**3 + 16*p**3 + (-2 + 2 - 2*p)*(-2*p**2 + 3*p**2 - 3*p**2) to r*p**3 + i + j*p + a*p**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -797*l**5 + 78*l**4 - 13*l**3 + 2*l**2 - 2885540 wrt l?\nAnswer: -47820*l**2 + 1872*l - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-9))\/((-35)\/(-105)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - 57. Suppose 2*n = 3*w - 949, 1589 = 4*w + w + h*n. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**2 + f + 22. Let w(s) = 4*s**2 - 22. Let a(p) = -4*w(p) - 3*y(p). Let u be a(3). Solve -u*m + 6 = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 60*x**3 - 3*x**2 - x + 3. Let k be g(-3). Let p = k + 8157\/5. Find the common denominator of 66\/2*1\/1 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*f + 15, 3*s - f = -3*f - 33. Let n = 16 + s. Let x be ((80\/3)\/5)\/((-2)\/(-3)). Solve -2*o - z = x, 0 = -3*o - 4*z - 29 + n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*l - 5*l. Is 1\/l*(-2 + 424) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98 + 58. Let o = h + 64. What is the highest common factor of o and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (10 + 6)) + (6 - (1 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 448, 896, 1344, 1792?\nAnswer: 2240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(24)\/sqrt(3))*-5)**2 + sqrt(190)\/(sqrt(30)\/sqrt(3)) + (2 + sqrt(304) - sqrt(19)).\nAnswer: 4*sqrt(19) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - u + 1. Let m(g) = 8*g**2 + g - 2. Let i(w) = 3*a(w) + m(w). What are the prime factors of i(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3365954\/22446 + (-2)\/29 + 1\/9 is divided by 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 43*w**2 + 10*w + 3. Let d be n(-3). Suppose d = 2*u - 6*u. Let t be 40\/u*(-18)\/4. Sort t, -2, 0 in descending order.\nAnswer: t, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41491 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + a**2 + 3*a - 14 + 14 as n*a**2 + w*a + v and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13148475?\nAnswer: 3, 5, 19, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 433.702*-7\nAnswer: -3035.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**2\/15 + 7576*l\/15 - 7574\/15 = 0.\nAnswer: 1, 3787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -583052 by -142.\nAnswer: 4106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecci when four letters picked without replacement from {e: 3, c: 3, i: 13}?\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 8*k - 9*k. Suppose 0*j - 5*b = -2*j + 107, -97 = -2*j - k*b. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2763712 divided by -4\nAnswer: -690928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11001.\nAnswer: 3, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 10*l**2 - 6*l - 49. What is i(11)?\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otxxtoxxxxxoxoooxx. What is prob of sequence xxt?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*z - 93 = -1, 2*m = -z + 58. Let g(b) = 5*b + 18. Let x be g(-4). Let a = x + m. Round a to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from tpuxa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222120123 (base 4) to base 13.\nAnswer: 61026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = n + 59 - 56, 0 = n - 5*p - 17 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14753*j - 8341*j - 8345*j + 1936*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 5*j - 1. Let i(b) = -b. Let o(q) = -4*i(q) + 2*n(q). Let m be o(-1). Solve -m*r + 7*r = 4*u - 20, 0 = r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -253 + -1?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-4)\/x)\/(x**(-3)\/x))**(-28\/5)*(x\/(x*x*(x\/x**(-6))\/x*x))\/(x*x\/x**(-2\/5)*x)*x**5*x*x**(-4\/7)\/x assuming x is positive.\nAnswer: x**(-244\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-5)\/(-2))\/((-15)\/(-3342))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 9:42 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsmgmgms. What is prob of sequence gmg?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -12*i**3 - 2*i**2 - 3*i + 3. Let h be y(3). Let v = h - -417. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167456*f = 167452*f + 3*o - 4, -5*f - 5*o = 40 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 428136*l - 1284444.\nAnswer: 4*(l - 107037)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*d + 736 = -1685. What is the smallest common multiple of d and 104?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001537 to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f = 10*f - 74. Suppose -d - f*t + 7 = 8, -3*t = -2*d + 12. Suppose 0*g = 2*g. Solve -w + 2 + d = g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 + 21*c - 3159\/2.\nAnswer: (c - 39)*(c + 81)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 6 + 6. Let f(h) = -h**2 - h. Let z(c) = c**2 + 2*c + 29. Let q(k) = -k**2 - 2*k - 34. Let g(u) = -6*q(u) - 7*z(u). Determine p*f(l) - g(l).\nAnswer: -2*l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + 21\/(-15) - (-939)\/(-90) and 2\/(-7) - 187\/(-42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 13*z + 4. Let c(l) = -l - 1. Let x be 4\/6*(-180)\/120. Let q(k) = k**2 + k + 1. Let b(w) = x*q(w) - c(w). Give a(b(y)).\nAnswer: -13*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.03, -2\/5, 2, -1\/2564?\nAnswer: -1\/2564","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kykkkhhkhh. What is prob of sequence hky?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32066*u**3 + 6916*u**2?\nAnswer: -192396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 6*z = -6, -2*z = -w - 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*3721\nAnswer: -744.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(9)\/sqrt(3) + -5 + -1 + sqrt(3))**2.\nAnswer: 12*sqrt(3) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 362026, 362022, 362030, 362056, 362106?\n\"Answer: f**3 - 11*f + 362036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 387783 (base 9) to base 6\nAnswer: 5013420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 407*n - 17. Let o(h) = 1085*h - 50. Let g(v) = 8*j(v) - 3*o(v). Calculate g(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91418.84961 - -45.38961. Let h = 91372.8599999 + k. Let r = -0.6 - h. Round r to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -121.47 - 4731.43. Let n = r - -4661. Round n to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/5 - -393\/10. Let b be -240*((-116)\/(-16) + -5). Let a = 2683\/5 + b. What is the common denominator of a and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - a)*(0*a**3 - 2*a**3 + 4*a**3) - 17 + 12*a**4 + 17 + 0*a**4 - 2*a**4 + 0*a**4 + 2*a**4 + 2*a**4 - 5*a**4 + 2*a**4 - 4*a**2 + 4*a**2.\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 5 + 6*t + 3*t + t - 5*t. Let d be u(-4). Let a be (-6)\/(d + -4) - 2. Let o(k) = k**3 - k**2 - k + 11. What is o(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5643774 - 2?\nAnswer: 5643772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15196?\nAnswer: 2, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -112770 (base 11) to base 14\nAnswer: -49498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 210, 317, 426?\nAnswer: 537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**4\/12 + 4*c**3\/3 + c**2. Let h(k) be the second derivative of -k**3\/2 - 25*k**2\/2 - 27*k. Let r be h(-6). Give j(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/71, 0.028 in decreasing order.\nAnswer: 0.028, -1\/71, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -360 - -503. Let j = w + -117. Does 26 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1649264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 + -43. Suppose 3*n - 20 - q = 0. Suppose -2*v + n = -14. Calculate the lowest common multiple of 18 and v.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626*o + 180968 + 113164 - 51022 = -4099*o for o.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(363) + 2*sqrt(363) + sqrt(363) - ((sqrt(363) - (2 + (sqrt(363) - sqrt(363)*1))) + sqrt(363) + sqrt(363)))*-4 + 0)**2*3.\nAnswer: 12672*sqrt(3) + 71424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102002022210 - -10?\nAnswer: -102002022200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 10 = 6. Find the third derivative of 4*h**w - 3*h**2 - 24*h**2 - 13*h**4 + 3*h**2 wrt h.\nAnswer: -216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - 10003233?\nAnswer: -10003211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.885 + -0.1034. What is o rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9 - 2 - 2 + 13*m. Let o be x(-4). Let v = o + 95. Calculate the highest common factor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5131 = 621*k - 126*k + 3284 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 5 (c) 95 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h - 5. Let z be q(4). Suppose -9*u = -z*u + 16. Suppose -3*o - 2 + u = 0. Solve -o*d - 5*k = -33, 0 = -d - d - 3*k + 23 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6093471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55430*p*x - p + 4878 wrt x.\nAnswer: 55430*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 - 9*t - 4. Let c(n) = -2*n**2 - 5*n - 1. Let q be c(-3). Let o be z(q). Solve 12 = -o*u + 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 531166154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 194 - 62. Let i(l) = -l - 8. Let m be i(-2). Calculate the remainder when 2\/3*159 - m\/2 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22751379*v**3 + 22377943 wrt v.\nAnswer: -68254137*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 965 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 10:01 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 40*f**2 - 186*f + 51. Let z(k) = 8*k**2 - 34*k + 10. Give -2*y(i) + 11*z(i).\nAnswer: 8*i**2 - 2*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d**(-2\/5)*d))*d*d**(-7)*d)\/((d*(d*d**(-6)\/d)\/d)\/d**19) assuming d is positive.\nAnswer: d**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*d - 72*d - 51. Is d < 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1 + 25*b**3 - 2 + 4 + b - 26*b**3. Suppose -3*r = -16 + 13. Let t(w) = 2*w**3 - 6*w**2 - 8*w + 8. Let c(y) = r*t(y) + x(y). What is c(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**4\/8 + b**3\/4 + 19*b**2\/8 + 7*b\/2 + 3\/2 = 0?\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 3*y - 31, -3*a - 50 = -8*y + 12*y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 663 + -661. Which is smaller: n or 84?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, s: 6}. Give prob of sequence siis.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3*w\/(w*w\/(w\/w**(-2\/11))))\/(w**(-2\/5)*w**6) assuming w is positive.\nAnswer: w**(-133\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 + 29*t - 2 - 20*t**2 + 74*t**2 + 2 - 31*t as g*t**3 + b + v*t**2 + k*t and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1099 (base 14) to base 11\nAnswer: -2188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgfggggfgggfgg. What is prob of sequence fg?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/5 + 86*w**2\/5 - 97*w + 80.\nAnswer: -(w - 80)*(w - 5)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/2 - 0)\/(12\/130120) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -4, -2, 11325.\nAnswer: -4, -3, -2, -1, 11325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014652 rounded to five dps?\nAnswer: 0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-1 + -2 - -3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4642, -8767, -12882, -16981, -21058, -25107?\nAnswer: -29122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.13262 + 0.47635. Round o to two decimal places.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 d when three letters picked without replacement from dxzlccd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkhkd. What is prob of sequence kkhh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4*u - 16, 4*n - 2 - 10 = -3*u. Let z be 7\/(-14)*(0 - n). What is the second derivative of 56*s**4 + 0 - 53*s**4 + 4*s + z wrt s?\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.1 - 9. Let q = t + 1. Let p be (-2)\/7 + 184\/252. Which is the nearest to 0? (a) q (b) p (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50*g**4 - 419980*g**3 + 2*g - 34280236 wrt g.\nAnswer: -600*g**2 - 2519880*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 8) to base 7.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/7 + 18*a**3\/7 - 30*a**2\/7 - 50*a\/7.\nAnswer: -2*a*(a - 5)**2*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhgxguguuugx. What is prob of picking 2 x?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -6*d + 15576. What is the remainder when 49 is divided by d\/286 + 4\/(-26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25820*v**5 + 16*v**2 + 2*v + 1 wrt v?\nAnswer: -1549200*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y - 4. Suppose 2*m = 2*x - 0*m, -x = m + 6. Let o(k) be the second derivative of -3\/2*k**2 + 2*k + 0 + 2\/3*k**3. Determine x*j(d) + 4*o(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-2 - (0 + -2) - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -400 + 317. Are -84 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(4 - 5) - 0. Suppose c*x - 7*x = -26000000. Round x to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 180*w**2 + 1933*w + 434708 wrt w?\nAnswer: 360*w + 1933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*n**3*r + 2*n**2*r**2 + 2*n*r**2 - n wrt n?\nAnswer: 36*n*r + 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 1404842*z + 2. Let i be g(5). Suppose -35824212 = 4*n - i. Round n to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8613 is divided by 139?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3077, 12305, 27679, 49193, 76841?\nAnswer: 110617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -49662 (base 10) to base 2\nAnswer: -1100000111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3324 - -927. What are the prime factors of a?\nAnswer: 3, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-343)\/(-56))\/((-28)\/(-8))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 360000 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b + 21 + 5 = 0. Solve -3*p + 4 - b = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177*-2855.\nAnswer: 505335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.6334695 and -3.\nAnswer: -4.6334695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10554*t**3 - 4685*t**3 + 177*t - 4867*t**3 + 2*t**2 + 2 wrt t.\nAnswer: 6012*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqqqqpqqp?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 130, 459, 1094, 2137?\nAnswer: 3690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -15 - (7 + (-7 - (-15 - 10)))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - c - 10. Let x be w(-5). Suppose -x*u = -18*u. Sort 5, 2, u, 1 in ascending order.\nAnswer: u, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, 1501 in increasing order.\nAnswer: 0, 0.4, 1501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 6*r + 5. Suppose -4*s - 1 = 3. Let z be (3 - 6) + 3*s. What are the prime factors of n(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 5*f. Let t(c) = -5*c**2 - 7*c + 2. Calculate 4*d(p) + t(p).\nAnswer: -p**2 - 27*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 259492875 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -25*l - 1. Let f(p) = -4*p**2 + 13*p**2 + 4 - 6*p**2 - 4. What is x(f(m))?\nAnswer: -75*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 74.7 and -0.1?\nAnswer: 74.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 11) to base 3.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 4:41 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17839.111 + 17826. Let r = l + 22.36. Let p = r - 9.2. Round p to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9128 and 41.\nAnswer: 9169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/((j\/(j\/((j**(7\/3)*j*j)\/j)))\/j))\/j))**(1\/19)*j**4*j*j*j**(13\/4) assuming j is positive.\nAnswer: j**(2149\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixiixxixii. What is prob of sequence ii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -198, -456, -848, -1392, -2106, -3008, -4116?\nAnswer: -5448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -560*u**3 + 1120*u**2 - 9*u + 13. What is d(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iigiiaiiiigaagigii. Give prob of sequence iii.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12004002 - 24?\nAnswer: -12004031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2338 is divided by (-21)\/1386*12 - 774\/(-22).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2*h = 0, 59*t - 67*t = -5*h + 18 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 58391104.51 and -0.01497?\nAnswer: 58391104.52497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhx when three letters picked without replacement from {h: 3, c: 5, r: 2, k: 6, x: 2}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 61591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 7. Let h be 1 + 1 - (j - -33). Does 5 divide 2*4*(-72)\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4. Suppose p + v = -p. Is -2\/7 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 0*r - 6*r**2 - r**2 + 5*r**2 + 3*r. Let f(v) = -v**2 + v. Let z(p) = 3*f(p) - k(p). Let m(h) = -h**2. Determine z(m(x)).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**7\/11340 - r**6\/1620 - r**5\/540 - r**4\/12 + 2*r. Let l(i) be the third derivative of x(i). Solve l(o) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48067 * 0.4.\nAnswer: 19226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y + 2*y - 4*y - y + 2*y + y + (-2 + 2 + 3)*(-y + y - y) + (266*y - 224*y - 587*y)*(5 - 1 - 1) + 3*y + 2 - 6*y + 4*y to the form t*y + m and give t.\nAnswer: -1633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 10*x = 780. Suppose x = 4*n - 2*n. Suppose 39 = 5*p - 2*p. Calculate the highest common factor of n and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven halves of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11439 = -9*v + 4*v + 2*f, 0 = -3*v - 5*f + 6851. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(156) - (sqrt(156) + (sqrt(156) - (2*sqrt(156) + sqrt(156))))) + sqrt(156)) + sqrt(156))*-4)\/(sqrt(243)*-1*-6) + -5.\nAnswer: -5 + 56*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**4\/u*u\/(u\/(u\/u**6*u*u*u)))**(-3\/17))**43)**27 assuming u is positive.\nAnswer: u**(-3483\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 161062445?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l + 4*l**2 - 11*l)*(-5 + 5 - 3*l) + (5*l**2 - l**2 - 3*l**2)*(-3*l - 2*l + 4*l) - 3*l**3 + l**3 - 6*l**3.\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from {y: 2, d: 1, e: 1, p: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 15 = 3*d. Suppose 4*q - 20 = d*q. Let c = q - -10. Calculate the remainder when 6 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266 (base 8) to base 16.\nAnswer: b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 9:27 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (-16 - 408*(-32)\/(-192))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 10*z**2 + 36*z + 2. Is a(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41029.5 litres to millilitres.\nAnswer: 41029500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzsszzz. Give prob of sequence ss.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 82. What is the remainder when 73 is divided by y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2390\/717 - 446*2\/48) + 15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 37, 82, 113, 124, 109, 62, -23, -152?\n\"Answer: -p**3 - p**2 + 55*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6700\/33 + 203. Which is the second biggest value? (a) r (b) 2\/11 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 839525 = -5*f, 107*f - 110*f + 5*q + 503734 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**5\/5 + z**3 - 5. Find the third derivative of v(y) wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-9)*(-4)\/(-16).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/20 + -27\/20. Sort -2, i, 15.\nAnswer: -2, i, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -30, 23, 86, 159, 242, 335?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 233868 = 16*x. Find d such that 34610*d**2 + 9434*d**2 + 354*d**4 + 5896*d**3 + 8*d**5 + 29282 + x*d + 88798*d = 0.\nAnswer: -11, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112615.\nAnswer: 5, 101, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/18*(4 - 40\/16)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4360923 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/8 and -113\/1840.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8689 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18886 and 41230.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, 104349 in increasing order.\nAnswer: -7, 3, 104349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 43.66155 nanometers?\nAnswer: 0.00000000004366155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 - 4*s**2 - s - 12. Let n be k(3). Put 6, n, -6, 10, -5 in increasing order.\nAnswer: -6, -5, n, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 4. Let n be p(-4). Suppose -w + 0*w + 29 = n. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*c + 190 = -220*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -8*d. Let z(y) = 4*y + 1. Let j(r) = -1 - 3 + r + 5. Let l(o) = j(o) - z(o). Give w(l(n)).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r = 0. Suppose 3*b - 274 - 44 = r. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -200, -781, -1948, -3905?\nAnswer: -6856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**5\/30 - n**4\/4 + 16*n**2. Calculate y(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qeq when three letters picked without replacement from quellfwllllluuql.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 309406073*h**5 + 472*h + 66094?\nAnswer: 6188121460*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*l + 361*l + 343*l - 1395*l + 363*l.\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39547 by -557.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.583385892 + 0.4.\nAnswer: 1.983385892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402177*n + 765 = 402132*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-4))\/(-1))\/(-186*(-53)\/13144)*55?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/59))**(16\/5)\/(z**(-2\/25)*z**(-29)) assuming z is positive.\nAnswer: z**(43053\/1475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 2*n + 2*n**3 + (5 - 4 - n**2 + 0)*(-21663 - 357*n + 21663) to the form s*n**3 + g*n**2 + k + i*n and give s.\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/2208 and 133\/96.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17640 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -1, -12, -252 in decreasing order.\nAnswer: 5, -1, -3, -12, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*5192.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -2, -3, 77, 0.7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 65.57242g?\nAnswer: 0.00006557242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16773?\nAnswer: 3, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + y - 5. Let o(w) = -1. Suppose 0 = -3*n - 3*g - 42, 21 = -5*n + 4*g - 4. Let v = -30 - -32. Determine n*o(b) + v*k(b).\nAnswer: -2*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-780)\/(-120))\/((-2249)\/11764).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-273)*7*-12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1505)\/(-70))\/(((-3)\/2 - -2)\/(3\/3)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - 12\/(-4)) + 22. Let w(o) = -6*o - f*o + 4*o. Let z(p) = -2*p**2. What is w(z(y))?\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5a3e + -d?\nAnswer: -5a4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -11, -18, -27?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 21*v + 103. Determine x(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1811?\nAnswer: 1811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 10) to base 15.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = 13*n + 475, 5*x + 1077*n - 190 = 1082*n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65111\/14042 + -6\/1003. Let b be 226\/14320*(-31 + 9). Let c = -1\/358 + b. What is the common denominator of w and c?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 3*m**2 + 7*m - 20. What is v(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 0 + (567 + -594 - (-1 - 60)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 6:12 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2. Let u(y) = -3903*y. What is u(p(m))?\nAnswer: 7806*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 29*d**5\/20 + 7*d**3\/6 - 7*d**2 - 12*d + 2. Let q be p(-6). What is q rounded to the nearest 100?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*143662951.\nAnswer: 71831475.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a factor of 4882644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -6*g - 8. Let p(i) = 0*i**2 + 3*i + 9 - g*i**2 - i**3 + 4*i - i**2. Let n be p(-6). Solve k = h, n*k + 2*h = -2*h - 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415 = -9*u + 4*u. Let q = 128 - u. Let f = 64 - q. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1844*j + 6314*j + 1985*j - 1687*j.\nAnswer: 8456*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7 - -0.3. Let d = 3 + u. Let a = d - 10. Sort 2, a, -3 in ascending order.\nAnswer: a, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-65)\/60)\/13)\/(386\/(-1544))*80*-3.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(180) - ((-1*sqrt(180) - sqrt(180)) + -5 - sqrt(180)))**2.\nAnswer: 240*sqrt(5) + 2900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/5, -5, -101.\nAnswer: -101, -5, -2\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 171\/3 + 2*(-5 + 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2242003\/7 - 320229. Find w, given that -88\/7*w**3 - 880\/7*w - m - 564\/7*w**2 - 4\/7*w**4 = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a - 5. Calculate the remainder when 3 is divided by j(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -236961207 divided by -1323?\nAnswer: 179109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 5*p + 0*p**3 + 3*p**2 + 4*p**2. What is the remainder when h(-4) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y - 1 + 99*y - 1.\nAnswer: 86*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -280646676 by 9.\nAnswer: -31182964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65988155.\nAnswer: 5, 13197631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 200569 to the power of 1\/2, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.06, -42, -0.4 in ascending order.\nAnswer: -42, -0.4, -0.3, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62447*r**3 - 540973*r.\nAnswer: 374682*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) 6138 (c) 0 (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-84035.4.\nAnswer: -42017.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/3, 2\/7, 2\/5, -47?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*q**2 - 7638*q - 1224.\nAnswer: 3*(q - 102)*(25*q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.6. Let v = -72300 + 72299.97. What is the nearest to -2 in g, 0, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*o + 6*o**3 + 4 - 33*o - 4 - 31*o.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**2. Let u be o(-1). Is u at most -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27 + 9)*(8\/(-6))\/1. Suppose l*d = 20*d + 4. Solve -a - d = 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-342)\/(-399))\/(2\/3052). Suppose j*v - 1311*v + 1800 = 0. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + j**2)*(-13*j - 15*j - 5*j) as d*j**3 + s*j**2 + t + h*j and give d.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 0*p**2 - 31\/30*p**6 + 0 + 0*p**4 + 0*p**5 - 2*p**3 + 19*p. What is the second derivative of t(f) wrt f?\nAnswer: -372*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from {w: 3, e: 1, d: 1, p: 2, y: 7}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*o**2 - 126443 + 126443 - 4*o to r*o + y + m*o**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 + 298898?\nAnswer: 298882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d = -2. Let s = -338600\/23 + 14722. Are s and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 27 = 3*p, 11 = 68*p - 67*p - g. What is the highest common factor of 20 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 4*f + 48, l - 3*f - 9 = 3. Let k = -13 + l. What are the prime factors of 4*6 + (-2 - k)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + 1. Suppose -c + h = 4*c. Suppose -65 + 191 = c*s. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/3, 1, 3080.41 in decreasing order.\nAnswer: 3080.41, 1, 1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -42, -2\/3, 3\/35, -1\/2?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 57. Let h be c(0). Let l = 64 - 37. What is the units digit of (-1)\/(h\/l - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.4 times 9.2118\nAnswer: -40.53192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 183 - 66 - 3*f - 57 - 60. Let o(s) = -2 - 9*s + 2. What is t(o(q))?\nAnswer: 27*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**5\/210 + y**4\/6 + 7*y**3\/3 + 17*y**2. Factor p(h).\nAnswer: 2*(h + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1517639*-0.36.\nAnswer: -546350.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppp. Give prob of picking 3 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11151)\/(-2478))\/(24\/(-40)*5\/64).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10631678?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 418 = 24*a - 3*a for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -38.7. Let o = t - -0.72. Is o at most 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(147\/(-4))*6*9961\/2846. Let t be (54\/(-14))\/3 - -1. Suppose -21 = -4*l - p, 2*p = -3*l + 15 - 3. Which is the nearest to l? (a) v (b) t (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 408562.5 - 408563. Suppose 4*m + 2 = -10. What is the biggest value in 5, -0.2, s, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, o: 1, i: 1, y: 1, u: 4, z: 3}. Give prob of picking 2 z.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 701?\nAnswer: -701.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 8097*a**2 + 13*a**2 + 171*a - 98*a - 73*a in the form d + u*a**2 + y*a and give u.\nAnswer: 8110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488750 is divided by 3792.\nAnswer: 3374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.1 (b) -2\/13 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(13\/4))\/(c*c*c*(c**(-1)\/c)\/c)*(c**(-3\/19))**(8\/3) assuming c is positive.\nAnswer: c**(367\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 8:42 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {v: 2, r: 2, h: 1, d: 7}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.023, 0.9, 2\/9 in increasing order.\nAnswer: -2, -0.023, 2\/9, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -16\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -17959?\nAnswer: 7183.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v - 79 - 21. Let c(o) be the third derivative of -o**6\/120 - 3*o**5\/20 + 3*o**4\/8 - 3*o**3\/2 + 45*o**2. Give c(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-33 - 2346\/(-68))\/((-1)\/(-12970)).\nAnswer: 3, 5, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) 543\/2 (c) 0.2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 375580, 751517, 1127448, 1503373, 1879292, 2255205, 2631112?\nAnswer: 3007013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -85*y + 401. Does 20 divide f(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8, 9, 6, -7, -36, -87, -166?\n\"Answer: -k**3 + 4*k**2 - 4*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 + -2. Let c be ((-2)\/(-9))\/((-58)\/(-87)). What is the third biggest value in 2\/5, c, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000877488154 rounded to five dps?\nAnswer: 0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b - 48. Give d(-4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25110 + 1?\nAnswer: 25111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/7256 and -48\/1098377?\nAnswer: 8787016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*c + 97*c + 191 = 651 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -1, 0 in descending order.\nAnswer: 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/2 - 13*y**2\/2 - 7*y.\nAnswer: y*(y - 14)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.2. Let u = 424 - 423. Let f = u + h. Put f, 3, -8 in ascending order.\nAnswer: -8, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 1:13 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 4:00 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1147676 and 1900.\nAnswer: 28691900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 128, 116, 104, 92?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*g - 22, 5*g - 4*z = -40 + 2. Let m be 4\/g*(-165)\/(-22). Sort -4, 0, m, -1.\nAnswer: m, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - 59*t - 51. Let u be g(-28). What is the greatest common factor of u and 737?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*2\/2 + 2. Suppose -t*l + 25 = 5. Solve 2 = 4*u - l*a + 1, 5*u - 5 = 5*a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/2 of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.027 (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from eeeegeeeeeeeeeee.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3184 and 978560?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2674865?\nAnswer: 5, 17, 31469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 12 = 4*z, -6*z + 2 = 2*y - z. What is the units digit of (-798)\/(-14) + (0 - y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(-14)*(2 - 8). Suppose t*r + 2*r + 5 = 0. What is the third smallest value in 5, r, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 8) to base 10.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006676548 to 6 decimal places.\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 11*a**6\/120 + 23*a**5\/20 + a**4 + 2*a**3\/3 - 68*a + 23. Let f(o) be the third derivative of i(o). Let f(l) = 0. What is l?\nAnswer: -4, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -3)*(-3)\/2. Sort 5, -1, -2, x in decreasing order.\nAnswer: 5, x, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4816*z**4 + 2*z**2 - 427*z + 7290257?\nAnswer: 19264*z**3 + 4*z - 427","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 22*n**2 + 96*n + 2. Let t be s(-16). Solve 4*w + i = -6, -4*i + 8 = -2*w - t*i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/15*248\/(-496)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -4*t + 4*c + 32, 5*t + 4*c - 8 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 - 62*a\/3 - 840.\nAnswer: (a - 90)*(a + 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 90 - 98. Suppose 4*y = 16, 0 = z*r - 6*r - y + 1128. What is r rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + g. Let b(t) = 10*t**3 + t**2 + 3*t + 1. Calculate -b(l) + 3*c(l).\nAnswer: -10*l**3 + 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10, 17, 22, 25?\n\"Answer: -v**2 + 10*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**3\/3 + 29*y**2\/2 - 4*y. Let k be n(14). Which is the nearest to k? (a) -0.4 (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a century?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 52*s**2. Let x(q) = -73*q**2. Give x(w(l)).\nAnswer: -197392*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/7*1\/2. Let v(o) = -2*o + c*o - 5*o + 0*o. Let l(z) = 2*z**2. Give v(l(n)).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62.3 + 62. Let h = -105 + 110. What is the nearest to -0.1 in h, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58067?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -60, 0.4, 0.5, -0.2, 21 in descending order.\nAnswer: 21, 0.5, 0.4, 1\/8, -0.2, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5229776 to the power of 1\/2, to the nearest integer?\nAnswer: 2287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 2:16 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtuuljujkutttl. What is prob of picking 1 k, 1 j, and 1 u?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 8*b - 4. Let c(q) = 9*q - 4. Let n(a) = -4*c(a) + 5*r(a). Let k(y) = -4*y + 3 + 5*y - 4. Calculate 9*k(w) - 2*n(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39808924 = -0*y + 2*y. Suppose 6*t + 4*t - 351044620 = 0. Let x = t + y. What is x rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 172 divided by -7\nAnswer: -172\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-46)\/132 + (6\/(-4))\/((-1056)\/128). Let t = -1 - -6. Which is the second biggest value? (a) t (b) 3\/7 (c) -1 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 + 7. Let i = x - 56.9. Which is the closest to i? (a) -3 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2387235, 3\/5, 0.5, -1\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b5 (base 14) in base 15?\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 + 18*a + 1. Let u be w(-9). Let r = 46 - 43. What is the highest common factor of u and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20 + 4)\/(-3) + 2. What is the units digit of ((-26)\/r)\/(7\/147)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3012120 (base 4) in base 9?\nAnswer: -18366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (2 - 8) - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.14 times -11\nAnswer: -12.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*g = -642*g + 341*g + 1125 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 30, 34, 36, 36, 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 30*l**3 + 5. Let b = 47 - 41. Let x(k) = -2*k**3 + 14*k**2 - 14*k + 14. Let u be x(b). Is n(u) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 64, 75, 86, 97, 108?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.375 - -165.625. Let y = -166.4 + s. What is the third biggest value in y, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p + 4. Let a = -4 - -3. Let z(r) = -r + 1. Let t(k) = a*u(k) + 4*z(k). Let v(x) be the second derivative of 3*x**3\/2 - 6531*x. Determine v(t(g)).\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 + 23533?\nAnswer: 23504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 61376605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 24*y**2 + 2*y + 53. Let l be w(-24). Solve -l*z + 4 + 16 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d - 3*d**2 + 10*d**5 + 26*d**5 + 6*d wrt d?\nAnswer: 2160*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 31. Let i be (-2 - 1)*u\/(-2). Let j = i + 9. Solve 0*z - z - o + 8 = j, 3*o - 18 = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -2\/17, 48?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2 + w - 133*w**2 + 132*w**2 - 7*w. Give a(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {m: 7, x: 4, p: 1, z: 2, e: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven sixths of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 314283459 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12111122 + 20021221?\nAnswer: 210022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.5 + -23.8. Let d = -0.1 + m. Which is the third biggest value? (a) -2\/11 (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 94 - 542*q**2.\nAnswer: -542*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.136 plus 14.871?\nAnswer: 4.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4123?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.34 + 3.34. Let z = -149.2 - -48.7. Let o = 100 + z. What is the nearest to p in 3, 0.6, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-3) - (-7 + (0 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1920, 1774, 1628, 1482, 1336?\n\"Answer: -146*d + 2066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (612\/16983)\/((-4)\/3)\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 - 30)*91\/(-6)*20\/70. Let i be -2*(-3)\/6 - -116. Calculate the highest common factor of i and b.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24925\/8 + 3127. Let r = 39 + -42. What is the common denominator of (-2)\/r + 0 - (-115)\/45 and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 - 2*d. Let q be c(-3). Let w(a) = a**3 + 13*a**2 + 11*a - 6. Let t be w(q). Solve -g - 2 = -t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7883536471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2693267471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -18, 34, 158, 378, 718?\nAnswer: 1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 5*m + 1. Let y(a) = a**3 + 7. Calculate the lowest common multiple of y(0) and k(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 22*u**2 - 3*u - 2. Let p be c(-1). Suppose 227 - p = 4*j. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -194*d - 92 + 3002 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4694233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 156 - 156 + 7*j**2 + 23*j**2 in the form v*j**2 + r*j + n and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 995219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35\/18 - -7\/36. Is y smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 5) to base 15\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 24 = -3*v, -21 + 5 = -2*v - 4*q. Let i = 3308034 - 3308028. Suppose 0 = 4*r - 2 - 6. Solve -v = r*z - i*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3167589 to the power of 1\/2, to the nearest integer?\nAnswer: 1780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 686, 1360, 2030, 2696, 3358?\nAnswer: 4016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 73870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v + 49. Let o be q(9). Solve -5*z + z = -o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4 + 3*w + 3 - 2 + 1 wrt w?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5251564 to the power of 1\/2, to the nearest integer?\nAnswer: 2292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-49))\/((-4)\/(-280)*10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, a: 1, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134 (base 5) to base 8.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1092208 + 1999847 = 18*v - 2236241. What is v rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2753933 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40 - d2?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5894115.\nAnswer: 3, 5, 443, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.02 (b) -1910 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 + 64.96. Let z = -3.1 - -2.1. Which is the second smallest value? (a) z (b) -2\/5 (c) -1\/7 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - h**2 - h + 9. Suppose 4*f = 4*x + 20, -2*x + f - 15 = -2*f. Let l be 6\/(-3) + x + 2. Give a(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -78b - -138?\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1458 and 47397879.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 140265418 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 211840405 and 6270?\nAnswer: 211834135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -84\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/28 in -0.1, 4\/7, -3\/7, -5\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 - -187. Suppose -3*q - h - h = -z, 0 = 2*h + 8. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (163*p + 33209 - 33209)*(-3 + p**2 + 3).\nAnswer: 163*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjuuhhhnjhhneyyuhhu. Give prob of picking 1 u, 1 y, and 1 j.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2.899.\nAnswer: -8.697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2259726469 to the power of 1\/2, to the nearest integer?\nAnswer: 47537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 28*c. Let f(g) = 4*g - 25. Give d(f(h)).\nAnswer: 112*h - 700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 45*h - 27*h.\nAnswer: -72*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iooiobo. What is prob of sequence oooi?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 - 29 - 273*n + 57 - 350*n in the form m*n + k and give m.\nAnswer: -623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -5*h**4\/24 - 58*h**3\/3 + 2*h**2 - 19*h. Let w be d(-23). Which is smaller: -335 or w?\nAnswer: -335","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 29 = -3*p, -157*p + 153*p + 37 = -5*s. Let k(w) = w**3 - 7*w**2 - 11*w + 13. Determine k(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*i**2 - 31*i + 31*i)*(7*i + 5*i - 5*i) + (2*i**2 + i**2 - 2*i**2)*(6*i - 11*i - 9*i).\nAnswer: 175*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1. Let i(p) = -p - 1. Let n(s) = -4*g(s) + 6*i(s). Let f(v) be the first derivative of -7*v**2\/2 - 3*v + 1. Determine -4*f(r) + 5*n(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3633.\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26404011, -26404006, -26403989, -26403954, -26403895?\n\"Answer: y**3 - 2*y - 26404010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7120228 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - 15 - -10) + 43 - 5 - 24?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4\/(-8 + 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = 2*a - 5*w - 85, 3*a = 4*w - 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 13*u**2 + 625 - 3*u - 624 - 3*u + 2*u. What is the hundreds digit of l(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*t - 12 = 0. Suppose k = -3*u + 4, -t = -k + 4*u - 3*u. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56 - 19) + -9 - (11 + -6).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 36197 and -1.0841822.\nAnswer: 36195.9158178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87 + -119. Which is the second smallest value? (a) 0.3 (b) -0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 205, 390, 547, 676, 777?\n\"Answer: -14*w**2 + 227*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1791231 and 64389.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 854.316 months to years.\nAnswer: 71.193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97086 + 97085.39951. Let t = 0.804 + -0.204. Let b = t + a. What is b rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3\/4 - 73737807*j**2\/4 - 453105311561865*j\/4 + 453105385299675\/4 = 0. What is j?\nAnswer: -12289635, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5927*-148.\nAnswer: 877196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**2 - 2. Let r(q) = 284*q + q**2 - 284*q. What is i(r(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -4*n + 34, -12*f + 3313*n = 3316*n - 84 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -2)*(-40)\/(-24). Suppose -r + 2*h = -16, 2*r = -r + j*h + 46. Calculate the remainder when 22 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.73455687 to 3 dps.\nAnswer: 0.735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/39 in 1\/3, 61, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.11 + -4. Let u be -4*(3335\/(-116) - -28). Which is the nearest to 1? (a) u (b) p (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7883 <= 0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 16754.\nAnswer: 167540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = -3*a - 2*c, 5*a + c = -c - 287. Let f = a + 79. Let v be 8\/f - (-2)\/((-40)\/(-492)). What is the greatest common factor of v and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-52)\/(-10) + 2\/(-10). Suppose -5 = 5*s - 4*r, -9 - 16 = -h*r. Which is smaller: s or 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 1:21 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 179.8526 to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t - t + 4*t)*(-2 - 1 + 1 + (1 - 3 - 1)*(-35 + 8 + 80)) as o*t + d and give o.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -178305*j**3*k**4 - 2*j**3*k**2 + 6*j**3 - 4*j*k**2 - 4 wrt k.\nAnswer: -4279320*j**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4516608451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 9. Let n be o(-11). Let d = -4 - -6. Suppose d*z - 7*z + 5*k + 10 = 0, -z + 2*k + 6 = 0. Is z less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 - 1935*d + 846768.\nAnswer: -3*(d - 299)*(d + 944)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 + l + 2*l + l**2 - l + 2*l**3 - 2*l**4 to b*l + v*l**4 + h*l**3 + t + i*l**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f + 12*f - f**2 + 3*f. Let o be s(8). Let z(r) = r**2 + r + 3. What is z(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from {q: 3, w: 2, b: 1, p: 3, f: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-7)*((-1025)\/150 - -8).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 316275 + -5\nAnswer: 316270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 11. Suppose 4*v + 4*j - 52 = q, 5*v = -0*j + 4*j + 47. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 + 45. Let i(w) = -w**2 - 3*w - 7. Let j(a) = a**2 + 4*a + 8. Let h(g) = 5*i(g) + 6*j(g). What are the prime factors of h(q)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 60*y**2 + 3100*y - 1056. Give k(-52).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -267886 smaller than -267874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 3*z - 37*v + 44*v, 36 = -2*z - 4*v. Sort -1\/3, z, -4 in decreasing order.\nAnswer: -1\/3, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131 - 129. What is the nearest to -3 in 3, -1\/4, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 199 + 9. Let m = -4 + 30. Calculate the highest common factor of d and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1558 is divided by (29 - -2) + 14\/(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4) + 26\/4. Let p = -5 + 7. Suppose -d = 0, p*d = s - 3*d - 4. Solve -s = -3*r + a*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -9. Let k = 4 + -3. Suppose -o - 2*q + k = q, 5*o = -3*q + 17. What is the smallest value in 3, z, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -270 + 444. Suppose 4*y + 5*u = 175, -b = -4*y - 4*u - 2. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214435701 by 71478567.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10 - (0\/(-2) + 2). Let q = 16 + n. Suppose -3*u - 27 + 142 = x, -q*u - 5*x = -157. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -52 (b) 0.027 (c) 28\/1097\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/9)*k**(5\/3))\/(k*k*k**(-1))**(-14) assuming k is positive.\nAnswer: k**(145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*y + 1)*(-2 + 5 + 0)*(5*y**2 - 6*y**2 + 5*y**2).\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (910\/(-28))\/13*(939\/313)\/((-290)\/4).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from ccstejcctss?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**6 + 1451*g**4*k**2 + 59*g**2*k + 6*g*k**2 wrt g?\nAnswer: 240*g**3 + 34824*g*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w*w**22*w*w*w\/w**(9\/8) assuming w is positive.\nAnswer: w**(215\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 9:08 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28760, 57648, 86662, 115802, 145068?\nAnswer: 174460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 42.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1462881, -5851526, -13165937, -23406114?\n\"Answer: -1462883*i**2 + 4*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -23. Solve a - 3 = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/9)\/((-3)\/9 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 43*o**2 - 2*o - 1. Let t be p(-1). Suppose 4*s + t = 5*s. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 5, 18, 681.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -9, 14, 6898, 4 in increasing order.\nAnswer: -9, -5, -4, 4, 14, 6898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c0 - -4?\nAnswer: c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - s**2. Let m(t) = 5*t**3 - t**2 - 8*t + 1. Give -m(b) + 3*u(b).\nAnswer: -2*b**3 - 2*b**2 + 8*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 - 22*y**2 - 28*y - 44. Calculate the remainder when v(13) is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 80*g**2 - 35. Let b(w) = -9*w**2 + 4. Let k be 27 - 4\/(-3*8\/12). Suppose m + k = -6. Calculate m*b(n) - 4*h(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 5*j + 20. Let w be (-5)\/(-2)*8\/j. What is the derivative of 3*f**w + f**2 + 1 - 6*f**2 wrt f?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + p - 2. Suppose 4*i - 15 = 3*o + 85, -o = -4. Let j = 31 - i. Let y(v) = 2 + 0*v - v**2 - v - 1. Calculate j*m(s) + 4*y(s).\nAnswer: -s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (32 + 21 + -29)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**2 + n**3 + 0*n**4 + 33 + 2*n**4 - 31 as l*n + y*n**4 + s + p*n**3 + o*n**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 + 57. Let k = f - -20. Let j(p) = -p + 1. Let r(g) = -5. Determine k*j(n) + r(n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/11 (b) 1118 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*n + 5*t + 146, 94 = 2*n + t. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -7\/20, -545.5 in descending order.\nAnswer: 1\/6, -7\/20, -545.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, z: 3}. Give prob of picking 1 z and 1 x.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c - 21*c + 18*c)*(2*c - c + 0*c).\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 28. Calculate the least common multiple of -23 + 33 + (-2 - -3*2\/6) and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 8*k**2 + 11*k + 53. Let r be y(-7). What is the greatest common divisor of 20 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -568*b + 572*b - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10553 + 10557. Let y = 14 - 13.89. Which is the nearest to y? (a) -0.4 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i - 15*i - 11746 + 11955 to the form f + c*i and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5947 + -1219. Calculate the highest common factor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -28*z + 964. What is c(33)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.396049 to zero decimal places.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-94)\/(-329))\/((-6)\/56*-2). Let p = 2 - -1. Suppose -p*d + 2 = -4. What is the third smallest value in d, 1, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1712 and 5463 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 7*f - 6. Let m = 2 - -3. Let b be w(m). Solve b*p - 20 = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168554 and 18389?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.106917 to four dps.\nAnswer: 0.1069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**4\/4 + 3*n**3 - 4*n**2 + 2*n - 31. Give o(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -171 - -171. Let h(n) be the second derivative of 1\/3*n**3 - 2*n + s - 1\/12*n**4 + 3\/2*n**2. What is h(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.820252409615 minus 27?\nAnswer: -27.820252409615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376 = 4*q - 472. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 355554 (base 7) to base 12\nAnswer: 31349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 not equal to 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(18)*-3)\/sqrt(6) + 2 + sqrt(18)\/sqrt(6)).\nAnswer: -4*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13231792?\nAnswer: 2, 7, 31, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 4. Let s(q) = 2*q - 4. Suppose n - 3*n - 4 = 0. Let h(y) = n*s(y) - 3*g(y). Let l = -3 - -6. Determine h(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 2\/(-4)*-2. Let q(v) = -2*v**3 - 2*v**2 + 2*v - 2. Let t be q(-3). Let g = t + -19. Calculate the highest common factor of d and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**3 - 5466*j**2 - 2489763*j = 0?\nAnswer: -911, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -776.401 - 0.06.\nAnswer: -776.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/(-44) + (-206)\/(-8). Suppose 0 = -5*r + 4 + y. What is the smallest common multiple of 8 and 2\/(-6) - (66\/18 - r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**2 - 35*i - 1722. Let p be g(-57). Is p bigger than -9473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*x - 1534 = 38 - 242. What is the highest common divisor of x and 5054?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, z: 2, l: 1, j: 2, c: 1, i: 1}. What is prob of picking 1 j and 1 l?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**3\/3 - 6*a**2 - a. Let h be k(-8). Solve -6 = -2*f + h*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 6. Let l(h) = -h**2 - 7*h - 6. Is l(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.11 - 23.21. Let y = 23 + b. Let l(h) = h**3 + 4*h**2. Let c be l(-4). Put 4, c, y in decreasing order.\nAnswer: 4, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -15*n**3 - n**2 - 2*n - 1. What is the remainder when ((-236)\/8)\/(1\/(-2)) is divided by o(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10883321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18, 132, 394, 768, 1254?\n\"Answer: 56*z**2 - 18*z - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/46 (b) 0.23 (c) 2\/27 (d) 0 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/5, -1947 in descending order.\nAnswer: -2\/5, -1, -1947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*g = 158*g - 228 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l - 5*g = 28*l - 1225, -3*l = g - 916. Calculate the remainder when l is divided by 43.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (6\/15)\/(16\/(-20)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*t + t. Suppose z - t = -2. Sort 1, -0.4, z in descending order.\nAnswer: 1, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -216*h - 6. Let m(a) = -108*a - 3. Determine 13*m(u) - 6*v(u).\nAnswer: -108*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31862, 31824, 31786, 31748?\n\"Answer: -38*s + 31900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + 4 + (-6)\/(-1). Let a(y) = -y**3 + 7*y**2 - 8*y + 6. What is the units digit of a(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5953 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 2 - 22 = 0. Suppose 0*o = -4*o + 16. Suppose a = o*a - 9. Solve -a*d + d = -r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 629 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilogram in grams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -28) + 4\/(-2). Suppose f = -m + 2*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5)*m*m**(14\/9)\/m*m)\/((m\/m**(-15))\/(m**(1\/58)*m*m)) assuming m is positive.\nAnswer: m**(-30347\/2610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 175 and -6168441?\nAnswer: 6168616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 22 + 2)*(-30*l - 58*l**3 + 30*l).\nAnswer: 1682*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d = 825 - 863. Let s(b) = -12*b**3 + 3*b**2 - b + 2. Let m(j) = j**3 + j**2 + 1. Give d*m(q) - s(q).\nAnswer: 14*q**3 - q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + ((-12)\/(-9) - (-3)\/(-15)). Let q = p + -16\/45. What is the second biggest value in 2, 3, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 3:30 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/15*30657\/1858\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 167 - 139 - (-1 + 34).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.23549 to 1 decimal place.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4933 + 4938. Let 5*y + 25\/3*y**2 - 5\/3*y**4 - p*y**3 - 20\/3 = 0. Calculate y.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 92, 72, 126, 296, 624, 1152?\nAnswer: 1922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w - 15*w**4 - 2*w**2 + 12*w**4 + w to f*w + d*w**3 + s*w**4 + b*w**2 + z and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.994 - 0.034. Let l = 4 - b. Let x = -0.14 + l. What is the nearest to x in 2\/13, 4, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12026a027 + -5?\nAnswer: 12026a022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2. Let x(j) = 18814741*j**2. Give k(x(d)).\nAnswer: -353994478897081*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 8:44 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p + 10 = 0. Suppose p = -4*v + 10. Suppose -x - 21 = -5*b, -2*x = x - v*b - 2. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 172208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1672)\/(-16))\/11*1 - 9. What is the third biggest value in -0.04, -4\/7, n, -37?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148621527?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -177*a**5\/5 - a**3\/3 + 42*a + 666. What is the first derivative of k(b) wrt b?\nAnswer: -708*b**3 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/3 + 95*p**2\/3 - 2000*p\/3 - 12500\/3.\nAnswer: -(p - 50)**2*(p + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.048 (b) -0.5 (c) 0.4 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 14 = -2*x. Let s = -5 - x. What is the derivative of -s + 0*o**2 - o**2 + 2 + 1 wrt o?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 139 = 97 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683 is divided by 135.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*2*(-14)\/(-4)*(-19041)\/4039?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/((-14)\/(-112)). Let h(f) = 2*f + 7. Let c(o) be the third derivative of o**4\/24 + o**3\/6 + 141*o**2. Determine q*c(a) + h(a).\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 9 + 28 + (-6 - 26) + -2 + 70?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 23*b + 4. What is the tens digit of n(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60.8 + 60.6. Which is smaller: -1631 or z?\nAnswer: -1631","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38163229233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by 9.\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 + 0*z**3 + z**3 + (2*z + 2 - 2)*(3*z**2 + z**2 - 3*z**2) - z**3 - 2*z**3 + 2*z**3 - 1792*z**3 + 203*z**3 - 281*z**3.\nAnswer: -1867*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**7\/3360 + r**6\/720 + r**5\/480 + r**3 - 1. Let s(g) be the third derivative of t(g). Factor s(i).\nAnswer: i*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -5*p**4\/6 - 5*p**2 + 9*p. What is the first derivative of q(m) wrt m?\nAnswer: -20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.784778 millilitres to litres.\nAnswer: 0.004784778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/17)\/n**(-2\/15))\/(n**(1\/6)\/(((n**(1\/15)\/n)\/n)\/n*n*n)))\/((n\/n**(1\/4))**(-1\/18)*(n**1*n)**(-12)) assuming n is positive.\nAnswer: n**(15771\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b - 10. Let n(y) = -18*y + 30. Let p(x) = -3*n(x) - 8*r(x). Let s be p(4). What is the tens digit of (-1 - 3) + 2 + s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364770 divided by 1930.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2 + 18*y + 104 = 0.\nAnswer: -4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -24035225 (base 6) in base 7?\nAnswer: -6250055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - 3*i**2 + i**2)*(-2 + 2 + 1) + (0 + 0 - i**2)*(1 - 4 - 1).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7176387 to two decimal places.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11431.337 rounded to the nearest one hundred?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -51357.7029 rounded to the nearest 10?\nAnswer: -51360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-28)\/15)*(-114)\/285.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18129620 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 17*d - 140. What is r(21)?\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*o - 5*u, o + 20 = -2*u + 5*u. List the prime factors of 1 - (0 + -1) - o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 202 - 19 = -133*b. Sort 3, -3, 11, 5, b in ascending order.\nAnswer: -3, b, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)\/a)\/a)\/a**(2\/3)*(a**0)**(-8\/9) assuming a is positive.\nAnswer: a**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/60 + 1\/4 and -49.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201 - 82. Let v be (i - 4)\/((-2)\/(-2)). Suppose 0 = -3*p + 11 + 127. Calculate the highest common factor of p and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k - 12*k - 962*k**2 + 2*k**3 + 962*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -90421 and -1.13448598.\nAnswer: -90422.13448598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmjmjjmmmm. What is prob of sequence jmm?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 11*b - 61. Let n(d) = -d + 851. What is n(v(w))?\nAnswer: -11*w + 912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2922*k + 7030*k - 2112*k + (2 + 0 - 3)*(-2*k - 2 + 2) + 2*k - 5*k + 0*k to d + t*k and give t.\nAnswer: 1995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 10 + 2 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31825 is divided by 884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 36 = 8*l. Suppose 3*q - 2*q = 33. Calculate the remainder when q is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -847 - -846.5. What is the smallest value in 4, f, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2994527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158 + -880. Is -3609\/5 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/10 and 113\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 3*v + 5*v)*(1738*v - 1212*v - 990*v).\nAnswer: -4640*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = 3*j. Let h = j + 7. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23658277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 152*i**2 + 2*i + 50. Let o(q) = -71*q**2 - 25. Let l(x) = -7*k(x) - 15*o(x). What is l(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14558689 - 249?\nAnswer: 14558440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 - 82*h - 212. Calculate the remainder when d(-36) is divided by 45.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 14*g - 5. Let v be (-15)\/(-2 - (2 + -3)). Let a be s(v). Suppose -5*x = a, -3*q - 2*q + 2*x - 21 = 0. Which is greater: q or -30\/7?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)\/g**(-6)*(g**(2\/5))**(-36))\/((g**(2\/3)*g)\/(g*(g*g*g**(-4)*g)\/g)*g*g*g**(-4)*g*g\/(g\/(g*(g**(6\/7)\/g)\/g*g*g*g))*g) assuming g is positive.\nAnswer: g**(-1777\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2382374\/3 or -794126?\nAnswer: -2382374\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 129*t + 52. Let m(a) = -2*a. Calculate y(m(k)).\nAnswer: -258*k + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from {u: 4, o: 1, q: 1, j: 1, w: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**2\/2 - 17*r - 180. Determine d(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -33*f**3 + 2121*f**2 - 6555*f - 2015. Give y(61).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 700319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/5 + 556*s**2\/5 + 7946*s + 150152\/5 = 0 for s.\nAnswer: -137, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 262*s**4 - 1184*s**3 - 3279446 wrt s?\nAnswer: 1048*s**3 - 3552*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from {n: 5, v: 2, w: 3, y: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11446410?\nAnswer: 2, 3, 5, 23, 53, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: c2 (base 13) to base 11\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 0*f - 5*f + 31 - 9*f. Suppose -3*y = 3*j + 12, 4*j - 4*y + 12 = -28. What is the tens digit of v(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -836.\nAnswer: -334.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**13*p)\/p)**(-2\/67)\/((p*p**(-3\/4)*p)\/(p**(-24)\/p)) assuming p is positive.\nAnswer: p**(-7139\/268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 8*i + 7*i - 2*i + 29 + 13*i - 14.\nAnswer: 26*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 5*d + 5. Suppose 0 - 5 = 5*v. Let y be (25\/10)\/(v\/(-2)). Calculate x(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1567 is divided by 312?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25650611209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.18 and -2.01.\nAnswer: -0.3618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -367, -406, -457, -526, -619, -742, -901, -1102?\n\"Answer: -n**3 - 32*n - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 7022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/(-40))\/((-7150)\/2200).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:31 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/(-7 - 0) - (-28780)\/4116 and 29\/294?\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 274*w + 2. Let p be x(-6). Let a be p\/(-10) - 1\/5. Suppose 49*i - 82 = 47*i. Calculate the highest common divisor of a and i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(52)\/sqrt(4) + 3 + sqrt(325) + -1) + 4*(-4*-2*sqrt(143) + sqrt(143) + sqrt(143))\/sqrt(11).\nAnswer: 2 + 46*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-6 + 146))\/(3\/(-84)). Find a, given that 8*a**z + 0 - 2*a**4 - 36\/7*a**3 + 10\/7*a**5 - 16\/7*a = 0.\nAnswer: -2, 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g + 12. Let d be k(5). What is the third derivative of 6*t**2 - 2*t**6 - 3*t**d + 0*t**6 - 2*t**2 wrt t?\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 30 = 26. Suppose -x = -5*i + 17. Is 4 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -925887 + -5?\nAnswer: -925892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*d + 4. Let w = d + 10. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 51\/2*(7\/(-21) - -1). Let c(d) = 15*d + 31. What is the tens digit of c(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 9:11 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 753 + -748. Let h(o) = -4*o + 12. What is h(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence saz when three letters picked without replacement from dsaazzzzdzszzzadd.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-350)\/(-145) + -2 + 0\/(-2). What is the closest to -1\/4 in o, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 f, and 2 g when four letters picked without replacement from {d: 4, f: 2, g: 3, x: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 4*q + 27. Let d = q + 9. Suppose 5*j - 5 = -d*j. Sort j, 0.4, 4, 0.1 in decreasing order.\nAnswer: 4, j, 0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*n = 54, 3*j - 5*n - 39 = 15. What is the remainder when j is divided by 2\/((-3)\/(60\/(-8)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 64 - 102531?\nAnswer: -102445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3643 times 0.17\nAnswer: 619.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -37 (b) 9 (c) 1\/2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*v. Let l be 1\/2*(-8)\/(-18). Which is the nearest to l? (a) v (b) 2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8034 take away -6659?\nAnswer: -1375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.055 + 11.645. Round m to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -159 and -4?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 5:38 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15435, -15390, -15281, -15072, -14727?\n\"Answer: 6*m**3 - 4*m**2 + 15*m - 15452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(-1\/4))\/k*k)\/k)**(1\/55)*k**(-4)*(k**(-2)\/k)\/k)**23 assuming k is positive.\nAnswer: k**(-40457\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58103446 is divided by 37754.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 182\/(-14) + 1*6\/1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a634 + 4a?\nAnswer: a67e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*c + 11948 + 3751 = 3795 for c.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*g**4 - 12*g - 5*g**2 - 5*g**3 + 7*g + 6*g**2 - 3*g**2 + 4*g to j*g**3 + u*g**2 + b + k*g**4 + o*g and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 6*z**2 + 2*z - 11. Let g be d(-6). Let p = 22 + g. Let b be (p - 249999)\/(10\/120). What is b rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12012 - 200012?\nAnswer: -111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 70 = 4*c + 4*m, c + 5*m = 1 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 193.122 times 0.06\nAnswer: 11.58732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, -1, 15.62, 2?\nAnswer: 15.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 315 and 1601280?\nAnswer: 11208960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 14 (b) -16 (c) -14 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10 - 16*t - 2*t - 5 + 8*t. Does 25 divide b(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(17) - (sqrt(187)\/(sqrt(44)\/sqrt(4)) + sqrt(17))).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*g - 17*g - 17*g**4 - 2*g**2 + 4*g**3 + 41*g - 6*g to the form l*g + u*g**3 + s + p*g**4 + h*g**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 0.2, -2\/7, 0, -3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 13 = -2 + 19, -130 = -v + 4*i + 18*i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 910691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5156\/3 + -319909\/186. Calculate the common denominator of -81\/4 and y.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6711 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-5))\/(2\/(-20)). Let j = 336 + -280. Suppose -5*p + 5*g + j = -2*p, 4*p = -3*g + 36. Solve 3*a + p = 3*s, -x*s - 2*a - 7 - 1 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000035537 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.5, -763?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 + 188. Suppose -18*q = -j - 575. Calculate the remainder when q is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o**3 - 55*o**2 - 15*o + 140. Let f be c(14). What is the greatest common divisor of 182 and f?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 185 = -5*k, -v = -4*k - 63 + 196. Calculate the highest common divisor of k and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and ((-64)\/(-6))\/((-4)\/(-18)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*t**3 - 52301*t + 68559.\nAnswer: -6*t**2 - 52301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.87 (b) 2 (c) -4 (d) 2\/7 (e) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73\/6 - -731\/60. Let b(o) be the third derivative of 0*o - 3*o**2 + 1\/32*o**4 + 1\/24*o**3 + 0 - r*o**5. Find i such that b(i) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13858597 a multiple of 1259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4827309 and -1.\nAnswer: 4827308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 117*y**2 + 7*y - 2745. What is x(0)?\nAnswer: -2745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 60, 138, 230, 342, 480, 650?\nAnswer: 858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 7, -0.21, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 642 + -1279. What is y rounded to the nearest 10?\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -74.96\nAnswer: -29.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1896*b - 781*b + 45715 = 0 for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*c = -6, 0*a + a = c + 9. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714*n = 96*n + 369*n + 62487 for n.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/18)\/((-3)\/27). Let k(q) = q + 8. Let z be k(-6). Solve x*s - z*s = 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 + -1 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 4) + 1 + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*z**4 + 24*z**3 + 1271.\nAnswer: -20*z**3 + 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -132079\/11 + 12007. Put -2, c, 70, 12 in decreasing order.\nAnswer: 70, 12, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86 - -69.5. Let m = -17 - w. Let t be 2*(3 - (-129)\/(-42)). What is the nearest to m in t, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(8\/6)\/(-2). Suppose 0 = -2*m, 4*t + 516 = b*m - 324. Let p = -141 - t. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7953844)\/(-24) - -5 - 4) + (-17)\/102 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -27. Let r(j) = -j**2 + 4*j + 7. Calculate r(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b - 25. Let i be r(15). Suppose 0 = -0*a + 3*a - i*u + 58, a + 31 = 4*u. Is a less than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19667 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*b + 4058 = 0, 0 = 100*h - 99*h + b - 2041. List the prime factors of h.\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 w, and 2 c when four letters picked without replacement from {w: 9, c: 7, e: 3}?\nAnswer: 189\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, y: 4, p: 6, a: 2, h: 2, e: 1}. What is prob of picking 1 p and 1 a?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 - 5*q**2 - 5*q**2.\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -3*j**2\/2 - 10*j - 536. Let a(s) = s - 1. Determine 5*a(o) + r(o).\nAnswer: 2*o - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 13. Let p(v) = -v**2 - 8*v + 8. Let i be p(j). Let s = -3 + i. Solve -a + 2 = -g, 0 = 5*a + s*g - g + 35 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100966 and 1320?\nAnswer: 66637560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**2\/5 - 1739*s\/5 + 209276\/5 = 0.\nAnswer: -1852, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**4\/24 + 9*k**2. Let m be b(5). Suppose m*i = z - 72, -6*i = -i + 5. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 k when three letters picked without replacement from {l: 6, k: 3, q: 3, v: 1, e: 2}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49708 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**2 + 27*x - 90 = 0.\nAnswer: -30, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/8 in -1\/2, 2, 4\/7, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2*o + 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuwwuwuuwuuuuu. What is prob of sequence wu?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-2) - (-241 - -243)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 336 + -11. Is z a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 213*o**2 + 6 + 1 + 5 + 7.\nAnswer: 213*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -5*x**7\/21 - 7*x**3\/6 - 11*x. Find the second derivative of f(n) wrt n.\nAnswer: -200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8 + (-187)\/(-24))*-76 and -119\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -12*z - 8. Let g be p(-2). Suppose -g*x - 45 = 3. Is 3\/2*(-30)\/x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/659743 less than or equal to -461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/9)\/4)\/(191\/(-18909))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 136 - -6266?\nAnswer: 6435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4*5\/(5*-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3547930*d + 6*d**2 + 3547930*d - 30*d**2.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 m, and 1 h when four letters picked without replacement from {v: 5, w: 1, h: 8, m: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6 + 5*a - a**2 + 5 - 5. Let p = 4 + 2. Let b be s(p). What is the nearest to -0.1 in 5, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1182, -1902, -2622, -3342, -4062, -4782?\nAnswer: -5502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 177494 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9*d**3 + 17*d**2 - 303*d - 4. Let z(c) = -3*c**2 + c + 1. Let u(y) = k(y) + 4*z(y). Find the second derivative of u(t) wrt t.\nAnswer: 54*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -7*y**2 - 14*y**2 + 7*y**2 + 14*y - 2 + y**3. Let a be m(13). Let c be (3 - a\/4) + 318\/8. Calculate the highest common factor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 4038644071604?\nAnswer: 4038644071603.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.7 - 6. Let s = v - -3.8. Which is the nearest to 0? (a) s (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 11760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnee when four letters picked without replacement from {e: 3, n: 13, g: 2}.\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3113 divide 271017780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-564)\/764*((-6)\/18 + 0) and -16\/5?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plhpp. What is prob of sequence ppl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3523*h. Let w(k) = 119*k**2 - k + 45. Calculate w(l(n)).\nAnswer: 1476971951*n**2 + 3523*n + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.969 - 1.469. What is the closest to 3 in 0.4, w, 0, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97 + 8. What are the prime factors of w?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 9:39 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**4\/4 + 4*w**3\/3 + 3*w - 3. What is the tens digit of i(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-14)\/n*n**(5\/2))**(-2\/13) assuming n is positive.\nAnswer: n**(23\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -675\/1303928?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -16, -25, -26, -13?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1665.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 7, w: 5}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2148671 is divided by 2148517.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1080*c**2 + 1131*c**2 + 444*c**2.\nAnswer: 2655*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/((-70)\/(-1)))\/1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 51 = 57. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*v + 147, -2*v + 4*v + 40 = l. Solve 17 = 7*q + l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 5*b = 1055. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 174.7 + -193. Let p = l - -18. Let i = 0.299943 + p. What is i rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124374 divided by 3273\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011120112 (base 3) to base 2.\nAnswer: 101100111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24670719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.704 greater than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 1, -3 in ascending order.\nAnswer: -3, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h**2 + 2 + 4 - 1. Let i(b) be the first derivative of b**3 - 2*b - 2. Calculate -5*i(l) - 2*p(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 6*o - 6. Let m(b) = b + 1. Suppose 0 = 4*l - 2*l + 2. Let h(d) = -15*d - 5. Let c(t) = l*h(t) - 10*m(t). Determine -6*c(u) + 5*q(u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 84865800 to the power of 1\/2, to the nearest integer?\nAnswer: 9212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -486021*f**4 - 9*f**3 - 70*f**2 + 788*f + 1300?\nAnswer: -11664504*f - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 2*b + 977 = 957, b = -4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/8)\/((4095\/(-28))\/13).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18000 and 7920?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = b. Suppose 0 = 5*i - 7*i + b. Let -3*x**2 - 3*x + 2*x**i + 3*x = 0. What is x?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*y - 20 = -0*q, -16 = -2*q - 2*y. Let g be (1*q)\/(((-6)\/(-213))\/2). Let c = g + 192. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**2 - 183. Let t(z) = 11*z**2 - 5*z + 5. Let p(o) = 22*o**2 - 11*o + 11. Let q(h) = -5*p(h) + 11*t(h). Calculate w(q(s)).\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 1\/4*a**4 + 0*a**2 + 0*a - 4\/3*a**3 + 2. Find the third derivative of z(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 162948924*q*w - 991511620*q wrt w?\nAnswer: 162948924*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153221 and 531767.\nAnswer: 9040039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44 + 2*t + 44 - 2*t + 4*t - 3*t + (-1 - 3 + 2)*(2 - 2 + t) - 2*t + 3 - 3 - t - 3 + 3.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6*f = -4*l + 16, 3*l + 5*f - 44 = 0. Let x be 6\/8 - ((-3048210)\/(-24) - l). What is x rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1410931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4725 at most as big as 6321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 15 = -5*w, 2*a = 3*a + 2. Differentiate -11*o**2 + 16*o**2 + w*o**2 - 10 + 5*o**2 with respect to o.\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 + 32*b**3 - 23*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 - 72. Let d be -2 - 1\/(n\/(-184)). Let a be ((-27)\/(-18))\/(2\/(-4)) - d. Calculate the highest common divisor of a and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypppppypppp. What is prob of picking 4 p?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/4)\/(((-20)\/4)\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2675 - -2674.7. Is f >= 268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0099529173 rounded to six decimal places?\nAnswer: -0.009953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 854 * -1.\nAnswer: -854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287998971.\nAnswer: 3, 13, 29, 149, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4081 - 4155.32. Let b = -72 - t. Let w = 2.3199849 - b. What is w rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40802 - 4?\nAnswer: 407ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 58*p - 128. Give r(-31).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -783*o = 845*o - 32579 + 81419 for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3156\/19 - -166. Which is the third smallest value? (a) 0.2 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 2*b + 5. Let o be l(-3). Solve -o*q = 6 - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-11)\/((-165)\/(-10)))\/(1\/(-6)). Suppose 2*b = -0*b + 6. Suppose -j = -4*h + b*j - 16, 5*h + 5*j = 30. Sort h, u, -2 in increasing order.\nAnswer: -2, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((-20 - (-4 - 11)) + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0.1, -0.5, 43, 2\/9, -1 in ascending order.\nAnswer: -1, -0.5, 0.1, 2\/9, 2\/3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 2\/55 (c) 0.1 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.093 - 2.393. What is the second smallest value in 0.03, d, 0.2, -1.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 3*g + 415. Let a(i) = -2*i**2 - 7*i - 835. Let w(n) = -6*a(n) - 11*t(n). Differentiate w(d) with respect to d.\nAnswer: 2*d + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 - 3)*(0*r + 3*r - 5*r + (-r + 0*r - r)*(7 - 2 - 3) - 1 - 2*r + 1 + 0*r + r - 3*r - 2*r + 3*r - 2*r).\nAnswer: 88*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * 2600927.\nAnswer: 1820648.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 72*j**2 + 32*j. Let d(l) = -11*l**2 - 5*l. Give 32*d(u) + 5*w(u).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2506 - 475 = 3*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -25, -8 in descending order.\nAnswer: -8, -25, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -485 - -797. Sort 4, 1, k in ascending order.\nAnswer: 1, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 1.3, 0.1601, 3, 2, -2.\nAnswer: -2, -0.6, 0.1601, 1.3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 2\/5 (c) 14 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 202*q**3\/3 + 7*q - 61. Let p(b) = -2*b**2. Give m(p(z)).\nAnswer: -808*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*778977.\nAnswer: -389488.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n + 1. Let c(k) = -13*k - 9. Let r(a) = -6*a - 5. Let p(l) = 3*c(l) - 5*r(l). Let m(x) = 7*d(x) + 3*p(x). What is the units digit of m(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-48)\/21 - -2)*(-4 - 10)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2635 and 1955?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/9 and 2\/13465.\nAnswer: 121185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 413210754 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzhb when four letters picked without replacement from dvhzhhbbhbbhzhhh?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-9))\/(6\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 3*g - 8, -4*h - 2*g = -131 + 127 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-30)*(-24)\/(-14)*(-6)\/(-9).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 355 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 equal to 912\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 97699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**(3\/8)*q)*q*q))\/q**(-1)*q**(-7)*q\/q**(-4\/9)*((q**(2\/9))**(-1\/2))**(-48) assuming q is positive.\nAnswer: q**(11\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1531 + 1523 - (6 + (2 - 4 - -1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 125450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - u**2 - 7. Let c be (-15)\/(-3) - 0\/(-4). Let a(f) = 2*f - 10. Let n be a(c). What is s(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 1.2. Let f = 1115\/6 + -41257\/222. Let p = f + 341\/888. What is the closest to 1\/2 in p, j, 1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m*x**3 + 3*m*x**2 - 525*m + 2*x**3 + 1072*x**2 - 7*x + 5 wrt x?\nAnswer: 18*m*x + 6*m + 12*x + 2144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 19*o**3 - 230*o**2 - 368*o + 4698. Determine j(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n + 980 - 3598 = 0. Suppose 0*k = -3*k - 192. Let g = n + k. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 5:36 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7995.623 litres in millilitres?\nAnswer: 7995623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7*(-2 - -3 - 4). Let s = 37 + g. Let y = -5 + s. What is the highest common factor of y and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2011939465?\nAnswer: 5, 402387893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -135, -70, 47, 234, 509, 890?\nAnswer: 1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 z when three letters picked without replacement from rshhzwzbwzbhwbhwzz.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/((-6510)\/(-189)))\/9?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/2)\/(r**(-1)*r)*(r**(-1))**23 assuming r is positive.\nAnswer: r**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**5\/60 + 7*u**4\/24 + u**3\/3 + u**2. Let y be i(6). Suppose 775 = y*p - 3*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -122, -213, -290, -347, -378, -377?\n\"Answer: t**3 + t**2 - 101*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -307, -438, -535, -586, -579, -502?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d. Suppose -18 = -4*q - 5*i, 0 = q - 6*q + 5*i + 45. Let v(x) = -2*x - q*x + 3*x. What is v(p(j))?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -10100100?\nAnswer: 10011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6306 + -546?\nAnswer: -7054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*g - 368 = -2*m, -338 = -2*m - 4*g. Let n = m + -17. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 14*k**2 + 17*k - 33. Let m be u(-12). Calculate the highest common factor of m and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0225 less than -48784?\nAnswer: -48783.9775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*g + 2996, 4*m - 9*m + 3757 = -g. What are the prime factors of m?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/292 and -31\/3796?\nAnswer: 3796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2\/7 - 184*p\/7 + 4232\/7 = 0 for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*r - 117*r**3 + 210*r - 46*r + 111*r**3 - 57*r - 57*r.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-1 + 0) - 0. Suppose -d*h = j - h - 3, 2*h - 30 = -5*j. What is the least common multiple of 16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20304 is divided by 4059.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50225313 (base 7) to base 10.\nAnswer: -4158003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11, 273, 559, 847?\n\"Answer: m**2 + 281*m - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 93598 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-25)\/30*(-3)\/5*8. Suppose -4*v - 40 = -2*h, i*v - v - 165 = -5*h. Calculate the remainder when h is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 70*t**2 - 255*t.\nAnswer: 5*t*(t - 17)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 10 = -3*i. Suppose -2*v - 16 = -i*v. Solve a + 4*m + v = 13, -15 = -5*m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 less than -0.4?\nAnswer: -334.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 8*p**2 - 9*p - 4. Let a be j(-9). Let f be ((-122)\/a)\/(2\/4). Let g = f + -40. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 0 + 2*y - y**2 + 17\/6*y**3. Calculate the remainder when a(2) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 43*i**4\/6 - 114*i**3 - 7*i**2 - 41*i. Let v be x(4). Factor -14\/3*j + 2\/3*j**3 + 0*j**2 + v.\nAnswer: 2*(j - 2)*(j - 1)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10063.\nAnswer: 29, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000159768 to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 12. Let g(n) = -n**3 + 15*n**2 + 17*n + 2. Let a be g(s). Calculate the greatest common divisor of 126 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -59. Let j = g + 36. Which is the nearest to 0.2? (a) 3\/7 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7680106 * -6.\nAnswer: -46080636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3454 + 5?\nAnswer: -3447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1257702 divided by 12966\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5105327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76151 is divided by 1528.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -767 or 1.12?\nAnswer: -767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26 (b) 74.3948 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 381573431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 + 0*k + 0*k + 6*k**4 + 0*k**4 + 33*k**4 + (k**2 + 3*k**2 - 2*k**2)*(2*k**2 + k - k).\nAnswer: 44*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 2.9. Let l = 10.8 + -10.6. Let u = -2.99 - 0.01. What is the biggest value in u, l, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 97, 231, 439, 733, 1125, 1627, 2251?\nAnswer: 3009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8085614kg to micrograms.\nAnswer: 808561400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1388, 178 in ascending order.\nAnswer: -1388, 2, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 14960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-10))\/(9\/((-180)\/(-8)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 65108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from wwwwvuwvvvwwww.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11\/2*o**2 - 6 - o - 1\/4*o**5 - 1\/2*o**4 + 9\/4*o**3 = 0. Calculate o.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 11480 - 11478 + 0*k**2 - 3*k**2 + k. Determine m(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 1 + 1 + u**2 - 1 to m + g*u + d*u**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -154*t - 663. What is y(-6)?\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -5*l**4\/24 + l**2. Let z(k) be the first derivative of k**2 + 27. Calculate v(z(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p*t**5 + 67*p*t**2 - 2*p*t + 9*t**6 - 2*t wrt t?\nAnswer: 120*p*t**2 + 1080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(209))\/sqrt(11) - (-1 + sqrt(76)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 2*d. Suppose 2*a = -3*a + 5*p, -5*a = 3*p - 24. Suppose 0*i - i - 8 = -q, -11 = -a*i - 4*q. Give u(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*f**2 - 5*f**2 + 9*f**2)*(-1 - 2 + 1)*(36*f + 7*f + 19*f).\nAnswer: -1736*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-12))\/((-2)\/(-12)*-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/367528 and 103\/80?\nAnswer: 3675280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -4 + 12 + 4 - (15 + -9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 444 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 + 0.14. Let s = 0.26 + -7.26. Let c = s - -5. Sort -0.2, c, x in increasing order.\nAnswer: c, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/9 (b) -779 (c) 13\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33493*s**3*v**3 + 21*s**3*v - 2317*s**3 + s**2*v - 10*v**3 - v wrt v?\nAnswer: -200958*s**3*v - 60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -144.2209 to one dp.\nAnswer: -144.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -361*p**3 + p**2 + 2*p - 1. Let f be r(-1). What are the prime factors of (-2)\/10*-15 + -2 + f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7)**(-5)\/((w\/(w\/(w\/(w**19*w)))*w)\/w**(-1\/14)) assuming w is positive.\nAnswer: w**(-239\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddffxdxdd. What is prob of picking 1 d and 2 x?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 4\/3*k**3 + 0*k + 3 - 1\/2*k**2. Let s = -75520 - -75521. Determine b(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2 = 5*q - 5, 6 = -2*q - 4*g. Solve -l = 3*x + 2 - q, 0 = 2*x + l - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 g when four letters picked without replacement from {d: 1, g: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40058102 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, m: 10, n: 3, w: 2}. Give prob of picking 1 n and 1 m.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-201 - -199)\/(-2 + 16\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 88257395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31399734 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 13*q**2 - 22*q - q**3 - 1\/2*q**5 + 0 - 4\/3*q**4. Let w(f) = 2*f**3 + 3*f**2 + f - 5. Give 3*k(i) + 16*w(i).\nAnswer: 2*i**3 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5511 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: Collect the terms in -3*t + 17*t + t.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7601324?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -56. Let a = 33.9964 + b. What is a rounded to 4 decimal places?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j + 5 - j + j**3 - j + 5*j**2. Let x be p(-4). Is 2\/x*(-27)\/2 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 32*r**3 + 2 - 6*r**2 + 33*r**3 - 3 - 5. Give b(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 336*i**4 - i**3*p + 244*i**3 - i**2*p - 1772727*i*p wrt i?\nAnswer: 8064*i - 6*p + 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 16*i + 23. Let l be z(-13). Let w be (l\/(-10))\/(8 - 1432\/180). Calculate the greatest common divisor of 162 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 8*d - 3. Let r(g) = -17*g + 6. Calculate -5*j(a) - 3*r(a).\nAnswer: 11*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34305585355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*f**6 - 34*f**4 + 9*f**2 + 55*f - 5 wrt f?\nAnswer: 1800*f**3 - 816*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (388*p + 23*p**2 - 388*p)*(0 - 1 + 3)*(-p**2 + 4*p**2 - 2*p**2).\nAnswer: 46*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9345482*u - 359 + u**2 - 37 + 9345087*u.\nAnswer: (u - 396)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkggguggz. What is prob of sequence zg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 240430732.911 + -240432840.91101946. Let b = r + 2108. What is b rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 - 2\/4*336\/(-140).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a week?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -24. Suppose 3*p - p + 88 = 4*g, -4*g + 4*p = -84. Calculate the highest common divisor of g and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1\/3, -13\/2, 3, -0.5.\nAnswer: -13\/2, -0.5, -1\/3, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -11*v - 10 - 6*v**2 + 19*v - 13*v. Let s(x) = 16*x**2 + 14*x + 28. Let f(o) = -5*s(o) - 14*y(o). Let u(m) = 2*m**2 + 45. Determine f(u(r)).\nAnswer: 16*r**4 + 720*r**2 + 8100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -11*w**2 - 16*w. Let z(p) = 3*p**2 + 5*p. Let g(n) = b(n) + 4*z(n). Let d(u) = 3*u + 17. Calculate g(d(q)).\nAnswer: 9*q**2 + 114*q + 357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**3 - 2*d**2 + 3*d + 2. Let u(n) = 8*n**3 - 5*n**2 + 7*n + 5. Suppose 4 = -t - 2*l + 12, 5*t = -2*l + 16. Calculate t*u(x) - 5*c(x).\nAnswer: -4*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 304366 in decreasing order.\nAnswer: 304366, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3469 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -35*k**3 + 2*k**2 - 1. What is o(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - a. Suppose 2*g + 5 + 3 = a. Put g, 4, -2 in decreasing order.\nAnswer: 4, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96388727027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 19. Suppose 0 = -4*w - 2*f + 74, 0 = -5*w + w + 5*f + p. Suppose 3*d - 50 = w. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 3*k + 0*k)*(-3 + k + 3) - 5 + 375*k**2 - 72*k**2 + 5.\nAnswer: 301*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0. Let f(l) = -l**2 + 4. What is the remainder when f(i) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 294117.5 minutes?\nAnswer: 17647050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1541811.2 - 41.7.\nAnswer: -1541852.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/51603585 and -101\/3570.\nAnswer: 722450190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41995 and 10915.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**3 - 17*g**2 - 36*g + 454. Determine q(5).\nAnswer: 724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-25815.3\nAnswer: -25815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-eight thirds of a year in months?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 18 = 3*t, 2*t = -5*w - 3*t - 5. Let a = -21 - -27. Suppose -w*n = -n + a. Let h(r) = r**2 + 2*r - 2. Calculate h(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -9*h**6\/10 - 9*h**5\/5 + 3*h**4\/10 + 14*h**3\/5 + 21*h**2\/10 + 3*h\/5 - 56. Solve d(l) = 0 for l.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000111110 + 1000?\nAnswer: -10000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**5 - 1024*l**4 + 4996*l**3 + 37528*l**2 - 4998*l - 36504 = 0?\nAnswer: -4, -1, 1, 9, 507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -92, 17, 5 in increasing order.\nAnswer: -92, -5, -2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 0*b**2 - 1\/20*b**5 + 6*b + 1\/6*b**4 + 0*b**3 + 0. Factor i(r).\nAnswer: -r**2*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -44?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -11*r**7\/210 - r**3\/2 + 3*r**2 - 3*r. Let h(p) be the first derivative of j(p). Differentiate h(c) wrt c.\nAnswer: -44*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-6*(sqrt(28) - (sqrt(2800)*-1 + sqrt(2800) + sqrt(2800) - sqrt(2800))))\/(sqrt(96)\/sqrt(6)*5))**2.\nAnswer: -378\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1160 by 116.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 11:17 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2344, 2\/5, 9.4, -2\/9, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -92932, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlldwlp. What is prob of sequence wd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbb when three letters picked without replacement from xxxxxsxbxsxxb.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/(q**(-1\/2)*q)))\/q)**(-21)\/(q**3\/((q*q**(-1)*q)\/q)) assuming q is positive.\nAnswer: q**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 1:33 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 507046.9 centimeters?\nAnswer: 5070.469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 10*g + 10. Let y be l(-10). Suppose 110 = -5*o + y*o. Let b(d) = d**2 - 42*d - 36. Calculate the remainder when o is divided by b(43).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 9. Let b be f(-7). Let o(a) = -3*a - 8 - a - b. Let j be o(-4). Solve t + 5*w = -25, 2*w - j*w - 20 = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(4\/((-8)\/2)). Which is the closest to o? (a) -5 (b) 1\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 10*m - 1. Let f be q(10). Let h(n) be the first derivative of 4*n**3\/3 - n - 5. What is h(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {c: 2, l: 2, m: 2, t: 1, g: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, t: 6, w: 4}. What is prob of picking 3 w?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 4:43 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20020120122 (base 3) in base 10?\nAnswer: 122894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 1. Let g(k) = -3*k**2 - 7*k + 14. Let m(r) = -g(r) + 6*l(r). Let p be (-870)\/58 - (-14 + 2). What is the remainder when m(p) is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507 + 517 = z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + a**2 + 3*a)*(-2463 + 1229 + 1235 - 643*a).\nAnswer: -643*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*v + 5. Let h be (13\/(-5) + 2)*v. Suppose h - 57 = -3*f. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000567 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbbggbgbbbb.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 531 and 65015505?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*p + 6375 + 6499 = 0. Calculate the remainder when p is divided by 48.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 316042254*i**2 + 794728*i - 128.\nAnswer: 632084508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1172*c + 2121*c + 940*c = 168121 for c.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l + 3. Suppose 0 = -5*c + l*c. Suppose -4*y - 3*o = -37, c*o - 2*o = 5*y - 48. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = 8*w - 1425. Let a = w - 68. Calculate the highest common factor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*q - 1 = -0, -36 = 3*n + 4*q. Let o = n - -6. Let c = 24 + o. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/130 and -47\/45?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*y - 29, 0*j - 3*j + y - 54 = 0. Let l(d) = -6*d - d - 16 + 6*d. Calculate the least common multiple of 4 and l(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -805217 + 1949578. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, b: 8, e: 4}. What is prob of sequence veb?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10383)\/6922)\/((1\/60)\/((-2)\/(-9)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 9954758?\nAnswer: -9954753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24634716 is divided by 3934?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*c + 93 = -33, -4*j - c + 469 = 0. Calculate the remainder when 538 is divided by j.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 plus -1.87837?\nAnswer: 0.52163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -0.2. Let s = 287\/45 - 33\/5. Which is the biggest value? (a) s (b) l (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9\/4 (b) -2\/5 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -51598 (base 10) to base 16\nAnswer: -c98e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -151*s**2 + 2 + 20 + 21*s**2 - 280*s**2 in the form j + x*s**2 + b*s and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2165, -2069, -1921, -1709, -1421, -1045, -569?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*n**2 + 99 + 139*n - n**2 - 273 - 137 wrt n.\nAnswer: -8*n + 139","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-69)\/(-120) + (-1)\/5. Let a = 0.2 + 0. What is the closest to -2\/7 in 3, t, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.406, -1, -22 in decreasing order.\nAnswer: -0.406, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(81)\/sqrt(3) - sqrt(27)) - sqrt(135)\/sqrt(5)*5)\/((sqrt(81)*5 - (sqrt(9) - 6*sqrt(9)*2))*4).\nAnswer: -5*sqrt(3)\/104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - w**3 + 10*w**3)*(27*w**2 + 14*w - 14*w + (-2 + 2 + 2*w)*(w - 2*w + 0*w) + 0*w**2 + w**2 - 3*w**2 + 2*w**2 - 5*w**2 + 2*w**2).\nAnswer: 176*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/15*9\/2. Let y(h) = -5*h - 4. Determine y(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*b + 313 + 387 = 0, 2*h - 350 = 2*b. Calculate the highest common factor of h and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 2.2. Let k = -262 - -261. Which is the closest to 1? (a) w (b) 0.01 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 0*q - 3 + 1\/4*q**3 + 0*q**4 - 1\/20*q**5 - 1\/4*q**2. Factor t(b).\nAnswer: -b*(b - 1)**2*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5118772590 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 520111.2 months to millennia.\nAnswer: 43.3426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 338456, 338560, 338664?\n\"Answer: 104*y + 338352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 3, -33?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -358*b + 333*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 182 - 181.9. Which is the nearest to 1\/4? (a) -2\/7 (b) -4\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449427193?\nAnswer: 349, 1287757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*o = -4*o + 5901, 2*w - 5*o - 11775 = 0. Let t be (8\/(-6))\/((-30)\/w). Let s = t + 1492. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 8*n - 8. Let p be t(0). Let y be 1\/(-2) + (-126)\/(-204). Sort p, -2, y in ascending order.\nAnswer: p, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.57 - 0.03. Let d = -0.607 - x. Round d to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2*k - 1)*(0 - 4 + 5) + (-4 + 2 + 3)*(2*k + 3*k - 3*k) - k + 3*k + 0*k)*(3 - 5 + 3).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 111 and 12.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/60*(-4 + -1). Let c(o) = o**3 + 4*o**2 + 5*o + 6. Let k be c(-3). Let z(g) = -2*g + 0 + g**2 + g**3 + k. Determine z(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 76.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ade10 (base 15) to base 4.\nAnswer: 11000132121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*p + 104*p = 0. Let r be (-69)\/(-114) - 1\/2. Is r != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**3\/3 - 3*d**2\/2 + 3*d. Let r = 13 + -17. Calculate x(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 40*u + 2. Let l(x) = -4*x - 7. Let o be l(-2). What is the units digit of t(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 15*f**2 - f - 16. Determine s(15).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 328626173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 188086 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3205?\nAnswer: 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 - 9*g - 176. Calculate z(-12).\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j**2 - 12*j + 15. Let o(g) = 12*g**2 + 24*g - 29. Let u(a) = -7*h(a) - 3*o(a). Determine u(12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -11. Let m(v) be the first derivative of 0*v**5 + 2 + 0*v**3 + f*v**4 + 1\/3*v**6 + v**2 + 0*v. What is the second derivative of m(i) wrt i?\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m + 2140 = 18*m. Let h = m + 3749\/7. Factor 0 - h*x**2 + 4\/7*x + 4\/7*x**4 - 4\/7*x**3.\nAnswer: 4*x*(x - 1)**2*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 11415381*j - 1. Let q be l(6). Let v be 142*(-6 + 4714407\/(-18)). Let g = v + q. Round g to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b. Let n(s) = -309*s. What is a(n(w))?\nAnswer: -309*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**5\/20 + d**3\/6 - 4*d**2 - d + 35. Give x(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 5:23 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91 * 0.12.\nAnswer: 10.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 48 - 2*i + 41 - 61 + i. Let y be u(9). What is the highest common divisor of y and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4034455?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 914 times -0.0329?\nAnswer: -30.0706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 3*t + 2. Let f be z(2). Solve f*k - 4*k + 8 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-12)\/(-21) - 0. Let n = -1.9 - -2. Sort -3, n, f in increasing order.\nAnswer: -3, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 743353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37.7 - 0.03.\nAnswer: 37.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*i - 20, 4*z + 7 = -13. Let d(v) = i + 1 - v + 3. Let h(l) = l**3 - 5*l**2 + 5*l - 4. Let t be h(4). Calculate d(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 10, 43*a - 40*a - 5*i = 100. Calculate the remainder when 897 is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 3:44 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*r + 2*r + 0*r)*(-33*r - 6*r**3 + 33*r).\nAnswer: 12*r**4 + 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 574039 to the power of 1\/2, to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + -1. Let d(q) = -q - 66 + 55*q**3 + 44*q**3 - 61 - 103*q**3 + 11*q**2 + 206 - 66. Let f(l) = 2*l**3 - 5*l**2 - 6. Determine w*d(p) - 13*f(p).\nAnswer: -2*p**3 - p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 + 0 = 0, 3*u + 3*t + 9 = 0. Let b = 6 + u. Put -5, b, 0 in decreasing order.\nAnswer: b, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6852103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from {m: 3, p: 3, j: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -75 (b) 73 (c) -16 (d) 4 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5860 + -5857. Factor -3\/5*l**4 + 0 - 1\/5*l**2 + 1\/5*l - l**n.\nAnswer: -l*(l + 1)**2*(3*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (22 - (22 - 31)) + -36.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 110?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {x: 2, l: 3, o: 7, g: 5}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5912486.\nAnswer: 2, 61, 48463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*o**3*r**3 - 2*c*o**3 - 8*c*o**2*r + 1343*c*r**2 + 5*c + o**3 - 3*o**2*r - 14*o*r - 8*r**4 wrt r?\nAnswer: -6*c*o**3*r + 2686*c - 96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 + -66. Put -4, t, -24 in increasing order.\nAnswer: -24, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2. Let m(o) = 149251*o**2 + 3*o. Give m(h(v)).\nAnswer: 597004*v**4 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 2*y + 14, -4*y + y = -4*b - 1. Suppose 0 = -b*s + 3*s - 104. Let u = s - 68. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 145489612 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 + -0.03. Let o = 0.15 - w. Let p = o - 0.52. Sort -0.3, p, -5 in increasing order.\nAnswer: -5, p, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.1. Is z greater than -2\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26745\/4 - 6686. Let l = 15\/7 + -68\/35. Which is the second smallest value? (a) y (b) 2\/13 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-12))\/((-4)\/18). Put -4, -1, v in increasing order.\nAnswer: -4, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = u + 3*u - 1, -5*m + 9 = 3*u. Suppose 4*w + 1457 = 3*v, 4*v = -v - m*w + 2438. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 7 (c) 0.11 (d) -0.3 (e) -271 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 214 and 6.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 939*f - 935*f + 27 = -28, -9*o + 35 = -4*f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/25, -23347, 1, -0.1 in decreasing order.\nAnswer: 1, -1\/25, -0.1, -23347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*g = -9*g - 21*g - 7335. What is the remainder when g is divided by 158?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7*c + 2. Let d be n(-3). Let h = d + -57. Let x = 74 + h. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.39*1627\nAnswer: 8769.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)\/d)**(1\/29)\/(d**(-1)*d*d**18\/d))**(-33) assuming d is positive.\nAnswer: d**(16335\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.05, 2\/3, -4, 1\/2.\nAnswer: -4, -0.05, 0.1, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 479*v - 12 - 1444*v + 487*v + 479*v. Let t = 6 + 0. Determine i(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s + 4*s - 4*s)*(-4*s + 5*s + 10*s) - 3*s**2 - 4*s**2 + 5*s**2 to the form a*s + y + t*s**2 and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/20 + (-113998)\/(-10) + -2 + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*m + 1 + (-m - 1 + 1)*(3 - 2 - 2) - m + 0*m + 3*m + (-3*m - m + 2*m)*(-1 + 1 - 1) + m + m + 0*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s = d + 4*d - 0*d - 319, 5*s + 95 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12710 and 205.\nAnswer: 12710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 2*i + 20. Suppose -3*p = c - 0*c - 10, -22 = -i*c - p. Suppose 2 = c*a - 10. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-119)\/(-34)*(-1978)\/301?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f + 32*f - 3 - 10*f.\nAnswer: 37*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 28*n + 1 + 5*n.\nAnswer: 33*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from {w: 1, s: 1, y: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p = -19*p - 55*p - 94*p + 142 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**1\/w*w**(4\/3)*(w*w**0)**(-2\/33))\/((w**(-2\/5)\/(w*w\/(w**0\/w)*w))\/(w\/(w**(-1\/5)*w*w)*w**(2\/11))) assuming w is positive.\nAnswer: w**(333\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1453, 2852, 4199, 5494, 6737, 7928, 9067?\nAnswer: 10154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*z + 295, -z + 3*l - 41 = -0*z. Let w be z\/2*-27 - (14 - 10). Suppose -9*m = -w - 706. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, -1, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1862872 is divided by 2364.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110 - -111110000010?\nAnswer: 111110110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2 + 2*d**2 - 2*d**2 + 2*d**2 + d**3. Let g be r(2). Calculate the greatest common divisor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 17*u + 14. Determine j(-6).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2401*a**2. Let x(s) = -17*s**2. What is h(x(o))?\nAnswer: 693889*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7151604518 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*t - 53*t - 12880 = 0. Let d = t - -7637\/6. Calculate the common denominator of 17\/96 and d.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 89, 88, 87, 86, 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 not equal to -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3 + 352*r**2 - 14760*r - 64800 = 0. What is r?\nAnswer: -4, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2*t)*(-17*t**2 + 6*t**2 - 11*t**2) as v*t**3 + x + i*t**2 + j*t and give v.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35576, -35505, -35382, -35207, -34980, -34701?\n\"Answer: 26*b**2 - 7*b - 35595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3ad6e (base 15) to base 11.\nAnswer: 119814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - o - 4. Let f be (138\/207)\/(2\/(-9)). Let b(p) = 2*p**3 - p - 7. Give f*b(y) + 5*s(y).\nAnswer: -y**3 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 7. Let h(l) = -l**2 - 12*l - 17. Let i be h(-10). Determine o(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83946511 and 11792?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 278 + -138. Suppose -5*f = -5*v + 10 + r, -f - 120 = -4*v. Solve -g = -3*s + s + 9, v = 5*g + 5*s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 6*m - 7*m. Let r(j) = -j**2 + j + 1. Let h(k) = 10*k**2 - 8*k - 8. Let l(x) = m*h(x) - 8*r(x). Let z(i) = -i. What is l(z(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6962.47 - -267\nAnswer: 7229.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 1. Let b = 2 - 1. Let z(q) = 2*q - 8. Let g(i) = b*z(i) + 3*f(i). Suppose -9*o - 1660 = -1633. Determine g(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8 - 26*g - 15*g - 9 + 3. List the prime factors of y(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/1 - (-36)\/10. Suppose 2*j = v + 2, 5 = 4*j - v - 3. Suppose 0 = -j*c - 0*c + 3. Is n less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**5\/120 - 4*l**3\/3 - 8. Let j(b) be the third derivative of f(b). Let a(c) = -6*c. Calculate j(a(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -7*y - 21. Let t(c) = 63*c + 189. Let m(w) = 28*s(w) + 3*t(w). Let q be m(5). Let h = q - -95. Calculate the least common multiple of 15 and h.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 48. Let z be (-2)\/f - (-71)\/6. Suppose -z*k + 30 = -6*k. Calculate the smallest common multiple of k and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 10:35 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**6\/15 - 2*r**5\/5 + r**4 - 4*r**3\/3 + r**2 + 10*r. Factor q(j).\nAnswer: 2*(j - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*s**2 + 115 - 61*s + 0*s**2 + 48*s wrt s.\nAnswer: -8*s - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 + 781*t + 609961\/2.\nAnswer: (t + 781)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 95579352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 5:24 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187 and 6985?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*n + 1028 = 170. Suppose -42 = 4*w - 7*w. Calculate the remainder when n is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -8, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19811 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 855 - 0*(-7)\/(-140). Calculate the highest common factor of i and 3230.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-7 - 18) + -9 + 3 + (-45 - -43).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 19\/4 of a millennium?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v. Let j(q) = 12*q - 20. Let x(t) = -t + 1. Suppose -5*k = -3*k - n + 1, 2*n = 2*k + 4. Let m(w) = k*j(w) + 20*x(w). Give m(y(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -195\/17 + 28801\/2499. Is 1 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 9:16 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/16 - 12573\/508?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 5*k**4\/12 - 5*k**3\/3 - 15*k + 10. Let g(n) be the first derivative of d(n). Factor g(c).\nAnswer: 5*c*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -55\/3. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*s - 676, 3*s - 4*d - 538 = 108. What is the smallest common multiple of 18 and s?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -33. Solve k*l = -2*l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -77361, -154723, -232083, -309441, -386797, -464151?\n\"Answer: p**2 - 77365*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**2 - z + 5*z**2 + 4*z**3 - 4*z**2 - 1 - z**3 to q + k*z + l*z**2 + j*z**3 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31322311 (base 5) in base 11?\nAnswer: 169073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y. Let k be i(4). Let h = k + 13. Suppose x - h = -g, 4*g - 57 = -5*x - 19. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 196 (b) 1\/4 (c) -1\/6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -12 + 1008\/248\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 0, 111?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 2\/5, 361, 1\/2, -0.7, 2\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/4)\/(10\/(-80)). Suppose o - 2*c = 1 + 9, 0 = o + l*c - 22. Calculate the highest common divisor of 70 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13074 - 212*v - 13074)*(-2*v + 3*v - 3*v).\nAnswer: 424*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30830?\nAnswer: 2, 5, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 20. Suppose -4*s + 9 + 11 = c. Suppose -s*g = -0*g + 10, 3*g = y - 6. Solve 3*h + v + 6 = -y, -5*h - 10 = 5*v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y - 25. Let z be v(10). Suppose -d - 5*b - 26 = 0, -19 = 3*d + z*b + 9. Let p(q) = -2*q**2 - 2*q - 1. Let x be p(d). Which is greater: x or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (0 - 5 - -1). Suppose 0 = -4*w - d*w + 30. Let t = 111 - 679\/6. Sort w, -1\/2, t.\nAnswer: t, -1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = 3*p + 42, 0 = -186*p + 182*p - 3*y + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 61*r**2 - 35 - r - 12*r - r + 15. Let u be q(-10). Round u to the nearest one hundred.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 242, 219, 158, 41, -150, -433, -826, -1347?\n\"Answer: -3*i**3 - i**2 + i + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/((-4)\/(-2)) + -1. Let s = -1 + 0. Let m = 30 - 30.3. Which is the closest to s? (a) -0.1 (b) z (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 - 6*a**2 + 19*a - 8. What is the hundreds digit of w(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d - 1317246 + 6624623 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 p when three letters picked without replacement from {g: 2, s: 3, p: 6, i: 1, d: 3}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718 is divided by 121?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 126524 to the power of 1\/2, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 2:20 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1081001820.\nAnswer: 2, 3, 5, 433, 41609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 5, -108, 1.\nAnswer: -108, 1, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.468528466 - 1.4685. What is w rounded to 7 dps?\nAnswer: 0.0000285","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217, 434, 651, 868?\nAnswer: 1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-10)\/w*w)\/((w\/w**(-2\/5))\/w*w))\/(w**(-6)*w*w**(1\/27)) assuming w is positive.\nAnswer: w**(-734\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5273504 and 228352?\nAnswer: 7136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 - 9*o + 15422 - 15422.\nAnswer: -4*o**2 - 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + -2 + 3)*-1. Solve 0*o = -i*o + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 48, 116, 200, 294, 392?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*2)\/sqrt(9) + sqrt(13))*6.\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 11:39 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 313014342 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 3*k + 39, -272*z + 3*k - 48 = -277*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8806 + -771. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 956952.4 decades to millennia.\nAnswer: 9569.524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.321948 and -4983?\nAnswer: 4983.321948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 262.8673064 to 1 decimal place.\nAnswer: 262.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 40, -13\/5, 3\/8?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**2 + 0 - 1\/4*k**4 - 1\/20*k**5 + 0*k**3 - 100*k. Calculate i(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -125, -151, -187?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/((-5508)\/72))\/(-1*(-2)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 416\/9 - 46. What is the closest to m in 4, -1\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9823048705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.84989 millilitres to litres.\nAnswer: 0.05184989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 247 = -161. Suppose -3*g + q = 210. Sort 9, g, 2.\nAnswer: g, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiddddd. What is prob of sequence idd?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2768189 - 1273289. Round m to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjjjjjhh. What is prob of sequence jjj?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 185 = 157. Solve 0 = b + n, 3*b = -2*r - 2*b - 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -598418*s**3\/7 - 9015654*s**2\/7 - 591408*s\/7 - 9720\/7.\nAnswer: -2*(s + 15)*(547*s + 18)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 + 9\/3 + (10 - -2626) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23945 + -23843. Solve 14*o + u = 31*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v - 1. Let m be c(1). Let g = m - -10. Let u be 30\/5 + (-3 - -1). Solve -l + g*h - 14 = 0, -l - 20 = -u*h - h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1, 4715, -1 in decreasing order.\nAnswer: 4715, 1, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106 - -670. Let s = f + 42. Let b = s - 372. What is b rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 9*j + 4 - 1 + 2. Let k = 12923 - 12915. Determine b(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1249*r**5 - 3*r**4 + 1658*r + 3 wrt r.\nAnswer: 24980*r**3 - 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38980 and 108660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-10)*(-56)\/(-28)*1\/(-3)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -8.86647.\nAnswer: -9.26647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 947878 is divided by 52474.\nAnswer: 3346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lsllsssxxxllslssls. Give prob of picking 2 s and 1 x.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/(61 + -193))\/((-1)\/54).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**4\/12 + 2*k**3\/3 + 3*k**2\/2 + k. Let i(b) = -b + 4. What is the remainder when z(4) is divided by i(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.188 + 1.479232?\nAnswer: 1.291232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -34*a - 203. Let y be z(-6). Let u be 3\/9*4\/(-6). Which is greater: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1555146 (base 7) to base 14.\nAnswer: 5875d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 20964?\nAnswer: 104820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 14*n - 15. Let y be w(7). Suppose -9*i + 245 = y. Calculate the lowest common multiple of 46 and i.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 5*f - 26, -2*c + 31 - 9 = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34030, -68035, -102004, -135919, -169762?\nAnswer: -203515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -4, 17 in ascending order.\nAnswer: -8, -4, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 - 13*s\/4.\nAnswer: s*(s - 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 26 - 18*u**2 + 2*u**2 - 11.\nAnswer: -21*u**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - p + 2. Let d be a(0). Let b = -2 + 2. Suppose 2*h + 4 = -b. What is the third smallest value in h, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0145503 + -0.0146. What is x rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 58, 2\/3, 6.\nAnswer: 2\/3, 2, 6, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.3039 - 0.4.\nAnswer: 1.9039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, 11, 17, 21, 23, 23?\n\"Answer: -z**2 + 11*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 166150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*f = -105, -5*o - f + 0*f - 171 = 0. Let m = -23 - o. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 + 80. Let a be (-20)\/(-8) + (-1)\/2. Suppose -20 = -a*m + l*m. Let c(h) = h**3 + 4*h**2 - 7*h. Give c(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*d**3*v + 421851*d**3 + d**2*v + 2*d**2 + 479*d*v + 4*d + 40925*v wrt d.\nAnswer: 66*d*v + 2531106*d + 2*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25632)\/(-76362)*(-44)\/(-16).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.9 - -8. Sort -3, r, 0 in descending order.\nAnswer: r, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 10*l + 177. Determine g(-41).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**5\/30 - 3*z**2. Let w(r) = -3*r**2 - 8*r + 2*r**2 + 8*r. Calculate c(w(s)).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 13*b - 6. Let i(a) = -14*a + 7. What is 6*f(y) + 5*i(y)?\nAnswer: 8*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-14))\/((-48)\/(-504)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1419*n + 2122*n - 2 - 1220*n to k + h*n and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1344, 2688, 4032, 5376?\n\"Answer: 1344*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**2. Let s(l) = 14*l**2. Let m(v) = 6*v**3 + 2*v**2 + v - 1. Let n be m(1). Suppose -34 = -6*k + n*k. What is k*i(a) - 6*s(a)?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5050 + -1?\nAnswer: -5051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5 + 2*g - 3)*(-23*g - 14*g - 20*g)*(g**2 - g**2 + 2*g**3).\nAnswer: -228*g**5 + 114*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 2*o - 2*o + (-5 + 3 + 0)*(o + o - o) + o + 0 + 0)*(-2385*o - 2391*o - 2179 + 4775*o) to d*o + q*o**2 + h and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -44\/3. Sort 0.2, -4, 0, j in descending order.\nAnswer: j, 0.2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1091*a + 11891. What is j(11)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 987323 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/24409963756 - -99974887746934745\/11204173364004. Let k = v + -8923. Is 1 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 4*o**2 + 3*o - 2. Let c be j(-3). Let b be 152\/(-15) + c\/(-15). Let u be (1 - b) + -1*2. What is the highest common divisor of 6 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 5*x + 1 = o, 1 = 2*x + 3*o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*p - 28 = -132*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(28\/3))\/n)\/n)\/n*n**30 assuming n is positive.\nAnswer: n**(112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8665812 divided by -3.\nAnswer: -2888604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 100200?\nAnswer: 100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -468*t**2 + 2458*t**2 + 57*t - 279*t**2 + t**4 - 643*t**2 + 29 wrt t.\nAnswer: 12*t**2 + 2136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5145\/(-1470)*144\/14.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 70 + 4 + -38\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhmm. Give prob of sequence mh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/10 of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**2 + 2*m**2 + 5*m**2 - 18*m**2 + 3*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -95*m + 98*m + 68, 0 = 7*q - 6*m + 476 for q.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*g**3 + 58*g**3 + 4 - 2 + 118*g**3 + 2*g.\nAnswer: 262*g**3 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 3 - 20 + 6)*(-u + 2*u + 1 + 0*u)*(-3*u + 3*u - u**2).\nAnswer: 3*u**4 + 14*u**3 + 11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*6\/18 - 3\/9. Suppose 6*d = d + 25. Suppose -10*r + d*r + 200 = o. Solve -4*k - 5*z + 0*z + r = 0, 5*z = 5*k - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2413*o**2 - o**4 - 3*o - o**3 - 3 + 2396*o**2 - 4765*o**2 in the form g + m*o**2 + h*o**4 + v*o**3 + l*o and give m.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 9 = 3*f - 4*f, 3*s - 9 = 3*f. Let q be 9\/12 - s\/(-1). Which is the smallest value? (a) 3\/4 (b) 2\/9 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (2 - (-8 + (1 - -2 - -1))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4\/5 (b) -1 (c) -4052 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -1\/3*o**3 - 1 + 0*o + 0*o**2. Let m(r) = 0*r**2 - 2*r**2 + r**2 + 4*r**2. What is g(m(k))?\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -352*o**3 + 2813*o**2 + 30*o - 46. What is g(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o + 2*o**4 + 6 - 5 - o**3 + 0 as y + l*o**3 + u*o + s*o**4 + q*o**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 - 13 = -n. Suppose 11 - n = -3*w. What are the prime factors of w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 266*z - 11849. Determine s(39).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 401192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.68 in -5\/12, 7, -2686?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.93 - -0.07. Let p be 9*(-1)\/4 + 2. Let s = -1.1 - -0.1. Which is the closest to s? (a) -4 (b) p (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 - -91. Calculate the least common multiple of (-4)\/(-8) + ((-5810)\/20)\/(-7) and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -399001, -399004, -399015, -399040, -399085?\nAnswer: -399156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-0.39.\nAnswer: 3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106 and 882397?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5408)\/(-3))\/((-4)\/(-7500)). What is x rounded to the nearest 100000?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, 483, 1, 0.9, 0?\nAnswer: 483","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**2 - 9*w**2 - 19*w**3.\nAnswer: -19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**4 + 98913*c**3 - 7499595*c**2 - 15295941*c - 7697430 = 0. What is c?\nAnswer: -1, 78, 32895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 975*h**5 - 4*h**3 - 3*h**2 + h + 5594.\nAnswer: 19500*h**3 - 24*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.18 - 10. Let a = 0.11 - o. Let r = -5.86 + 5.56. Which is smaller: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 13*x - 64. What is r(-4)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -270, -1061, -2396, -4287, -6746, -9785, -13416, -17651?\nAnswer: -22502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 7555?\nAnswer: -7552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -13.9387478?\nAnswer: 10.9387478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**5\/7 + 171*w**4\/7 - 3630*w**3\/7 + 35622*w**2\/7 - 160095*w\/7 + 38025 = 0.\nAnswer: 5, 13, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and (192\/(-224))\/(6\/(-28))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s + 9 + 35 - 8 + s**3 + 6 + 7*s**2. Determine y(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**4\/4 - 5*s**3\/3 + 5*s**2\/2 - 4*s - 2. Let l be c(-6). Which is smaller: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 45 = 5*x, -18*w + 14*w + 4 = 4*x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9205 divided by 1841?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 264*y**3 + 32*y**2 - 1704*y - 32. Let v(b) = 41*b**3 + 5*b**2 - 262*b - 5. Determine -5*n(o) + 32*v(o).\nAnswer: -8*o**3 + 136*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*v - 7 = 0, 2*v = 3*y + 2*y - 13. Solve x + 15 = -y*h - h, -2*h + 5*x = -9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 5, 31 in ascending order.\nAnswer: 3, 5, 7, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 32*b**2 + 58*b + 74. What is r(30)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -84*d - 12. Let m(j) = -495*j. Give m(g(x)).\nAnswer: 41580*x + 5940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2.51285824 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -i - 12*i**2 - 3*i**4 - i**3 - 2*i + 3*i**3 + 0*i**4 as h*i + g*i**3 + f*i**2 + x*i**4 + c and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29\/39 - -1\/13. Let v(q) = -q**3 - 2. Let k be v(-2). Suppose a = -4*d + k, 3*a - 3*d = d - 14. Is c >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1658?\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9007?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3759 = 2086*t + 88025 for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 43*n - 292. Give g(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 216. Let o = 782.1 + -782. Do o and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/100451 or 1?\nAnswer: -1\/100451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 13*w**2 - 8*w - 62. Let h be i(12). Let j(x) = -x**3 - 15*x**2 - 13*x + 1. Determine j(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*s*t*w**3 - 10*s*t*w - 6699*s*t + s + 6*w**3 wrt w.\nAnswer: 9*s*t*w**2 - 10*s*t + 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5 - (-1 - -8)) + 0 - -12) + 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 n when two letters picked without replacement from jjklknkknjnlnznnnnn?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.4935 * 0.4.\nAnswer: 2.9974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 17. Let r(g) = 2*g**2 + 4*g + 2. Let q be r(o). Suppose -s + 7 = k, 2*k + q*s - 10 = k. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1680*d + d**2 + d**2 + 1684*d - d**3 + 2. Suppose 4*r = -0*r - 88. Let b = -24 - r. What is h(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 3*b + 4*i + 1756, 5*b - i = 2187. Suppose -b = -t - g + 2*g, -g + 1 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*l + a, a + 12 = -3*l - 2*a. Suppose -23*m - 118 = 227. Let z be -1*2\/l + m. Are z and -12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6481 - 6154. Suppose -4*a - f + 4*f + 652 = 0, -2*a + 5*f = -340. Let t = a + p. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 103570587?\nAnswer: -103570603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 6*s - 8*s - 3688, -5*s - 9220 = -t. Let p = s + 4398. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -21*s - 128. Let t be x(-8). Suppose 10*j = 20*j - t. Sort 0, j, -14, 1 in descending order.\nAnswer: j, 1, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 2456672.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 223*p + 105*p + 86 + 3*p**2 - 82*p + 394.\nAnswer: 3*(p + 2)*(p + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24996 or 3.5?\nAnswer: -24996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 48088?\nAnswer: -48089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x**2 + 208*x + 1442. Let s be h(-8). Solve 26*r - s = -214 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5) + 3 + 1 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 98 = 5*b + 183, 0 = 10*a - 165 - 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o - 5*o + 2*o - 18*o to g*o + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 + 22 - 34)*(2 + d - 2).\nAnswer: -73*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -305106 less than -304884?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -37263 divided by 38\nAnswer: -37263\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 0 - (-27 + -2 + 19)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -33*u**2 + 9*u + 1. Calculate g(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -264370000 rounded to the nearest one million?\nAnswer: -264000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -8. Suppose 43*x - 4*x = 234. Calculate the remainder when y is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422 - 1724 - 534 = -54*s for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 4.42. Let h = d - 0.08. Let y be (-3)\/((-18)\/(-4))*-3. Which is the closest to h? (a) 1 (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 96*t**2. Let z be i(1). Suppose a + z = 4*a - 3*b, 4*a - 92 = -5*b. Suppose -a = -2*v + 14. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/10)\/((2\/(-6))\/(-13*(-15)\/(-117)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -174281, -174464, -174647, -174830, -175013, -175196?\n\"Answer: -183*i - 174098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 16 (c) 3\/4 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 534.817nm to micrometers.\nAnswer: 0.534817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 210845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z + 16. Let j be l(2). Solve -5*i - 4*c = -6*i - 5, -j*c = -3*i - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2311211311 (base 4) in base 12?\nAnswer: 2ba531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 3*b + 4*u, 803*b - 805*b = -3*u - 8 - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, f: 2, r: 2, l: 1, x: 6, u: 1}. What is prob of sequence ruxr?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -744921, -744918, -744915, -744912, -744909?\nAnswer: -744906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, d: 2, n: 2, w: 1, u: 1}. Give prob of sequence nggn.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 a when four letters picked without replacement from {f: 1, s: 1, q: 3, d: 4, a: 6, z: 4}.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 16 + -18 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 1, o: 1, f: 1, j: 1}. What is prob of sequence fj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 685228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(1 - 12\/8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 4:48 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**4 - 204*i**3 + 1320*i**2 - 2704*i + 1824 = 0.\nAnswer: -57, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/1464 (b) 3 (c) 1\/7 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfpqffpeep. What is prob of picking 2 e?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -700 - -715. Let d be 75\/u - 11\/2. What is the biggest value in 0.4, d, -21?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-7))\/(3312\/(-5152)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 4 + 169*x**2 - 7.\nAnswer: 169*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express q + q - 3*q + (-1 - 1 + 4)*(q - 4*q + q) + 2287 - 2287 - 105*q as l*q + g and give l.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from skkspkkkkstp.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 2\/(-4))*4. Suppose -6 = 2*j, 2*u + j - x = 1. Let 3*k**5 + 2*k**4 - 2*k**2 - 4*k**u + 6*k**3 - 5*k**5 = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - 4*b**2 + 0*b**2)*(49*b - 49*b - 23*b**2) - 2 + 2 + b**4.\nAnswer: 139*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*f + 19 + 25, 52 = 2*s + 3*f. Let d be (1 - 3)*s\/(-8). Calculate the greatest common factor of d and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 11*t - 3*t - 5*t - 2*t. Let q(c) = 0*c**2 + c**2 + 2*c**2. Give m(q(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31584715 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 354, 538, 734, 948, 1186?\nAnswer: 1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 8544.\nAnswer: 8544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from mmmmmhmmmhmmhm?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 23*v. Let j(u) = 22*u. Let q be (1456\/39)\/16 + (-2)\/6. Determine q*f(i) + 3*j(i).\nAnswer: -2*i**2 + 20*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -520541 + -34.\nAnswer: -520575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2774.517 months?\nAnswer: 23.120975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 + -56. Suppose 0 = c + r*v - 318, v - 297 = -3*c + 712. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15936208 by -1429.\nAnswer: 11152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-126)\/(-24) + -3)\/((-4)\/(-48)). Suppose 345 = -j - 4*j. Let o = j + 105. What is the greatest common divisor of w and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zpzmpzzpzzpmzpmzp.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -126821255.\nAnswer: -126821251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -19*s. Let h(j) = 613*j - 1. Determine h(d(z)).\nAnswer: -11647*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 + 23 = 2*i. Let q be 5 - (0 - (-480)\/i). Which is bigger: q or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -192544932*l**5 + l**4 - 26447243*l**2 + l.\nAnswer: -11552695920*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*38\/((-7448)\/84)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/12*16\/10. Solve -i + 35 = i - 5*n, 3*i = -q*n - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 0*l - 2*l - 10 + 3*l**2 to the form s + b*l**2 + g*l and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -5) + 1 + -1. Let x(z) be the first derivative of b*z**3 + 1 + 5*z**3 - 16 - 4*z. Differentiate x(l) wrt l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 27475?\nAnswer: -27473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 85497*h - 85502*h = 20, 0 = 4*t - 3*h - 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2585394, 2585378, 2585352, 2585316, 2585270, 2585214, 2585148?\nAnswer: 2585072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 9*p**2 + 896*p + 10106. What is z(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32616?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*b = -b + 12, 0 = -4*r + b - 42. Let h = 30 - r. Is 20 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-26 - 8) - (-5 + 1 - -3).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 4:13 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/((-1674)\/(-217))*(-3)\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2))**(-33)\/(q\/q**(1\/2))**(-24) assuming q is positive.\nAnswer: q**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82893 + 144963. What is z rounded to the nearest 1000?\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-90)\/20*4\/(-30)*-2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.39 (c) -0.5 (d) -63916\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o + 2*o**2)*(-224*o**3 + 530*o**3 + 7433*o**3).\nAnswer: 15478*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9968*c - 4910*c - 4928*c + 1300 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/1)\/((-3752)\/2680*(10\/98)\/(-1)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-9)*950040\/6032\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23189 or -23188?\nAnswer: -23188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7674 - 53717\/7. Let x = -1.4 - -0.4. Which is the nearest to 18? (a) -2\/13 (b) -4\/5 (c) f (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 708929544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + n = 20. Let d be ((-6)\/(-40))\/(n\/10). Let x(f) = 2*f**2 + 4*f. Let t be x(-2). Which is greater: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w*w**(-2\/21)*w)\/w*w*w)\/w**2)\/(w**(2\/3)\/w)**(14\/9))**(-2\/3) assuming w is positive.\nAnswer: w**(-916\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**2 - 3*w**2 + 0*w**2 - 5*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.741839ng to micrograms.\nAnswer: 0.007741839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*1 + sqrt(288) - sqrt(40)\/(sqrt(15)\/sqrt(3)))**2 + 4.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60273*o + 29965*o + 30158*o.\nAnswer: -150*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 116550 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 65676 divided by 39\nAnswer: 1684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1520130 to the nearest ten thousand.\nAnswer: -1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 15*r**3 - 21*r**2 - 29*r - 20. Let c(v) = -7*v**3 + 10*v**2 + 14*v + 10. Let n(p) = -13*c(p) - 6*t(p). Is 22 a factor of n(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 899 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + h - 2. Let f be p(-2). Let b(z) be the third derivative of 0 - 2*z**2 + f*z + 1\/24*z**4 - 1\/3*z**3. Find the first derivative of b(i) wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6922, -6926, -6932, -6940, -6950, -6962, -6976?\n\"Answer: -k**2 - k - 6920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 6*i**2 - 8*i + 27. Let b be m(6). Let g be (-48)\/b*14\/112. Determine n, given that 0 + g*n**5 - 4\/7*n + 10\/7*n**2 - 6\/7*n**3 - 2\/7*n**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -7. Let m(d) = -d**3 + 12*d**2 - 10*d - 7. Let x be m(c). Let j be x + 2 + -4 - 0. Solve b + 1 = h, 0 = 5*b - j*b + 3*h - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26b - 34581?\nAnswer: -3480c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 202\/((-3)\/(66\/(-11)))*(-19)\/(-76)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 145.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -61, 1, 0.4, -148?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 5*y + d, -4*y - 4*d + 140 = -3*d. Suppose -y = 16*s + 62. Let w(l) = -l**3 - 8*l**2 + 6*l + 6. Let m be w(s). Is -102 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -75505?\nAnswer: -75510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*c - 4067231 = 307245769. What is c rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + 4*b - 5*b)*(2 + 1 - 2) - b + 1 - 1 + 631*b + 982 + 699*b - 982 as f + o*b and give o.\nAnswer: 1328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -13*x. Let u(i) = -3*i**2. Give z(u(y)).\nAnswer: 39*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 83.\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 338634?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 324*k**5 - 1058*k**4 - 607582*k**2?\nAnswer: 19440*k**2 - 25392*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 11:12 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35403*f + 35402*f - 59 + 59.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -412 (base 5) in base 15?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -4 (b) 0 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 1:34 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50074 (base 9) to base 2.\nAnswer: 1000000001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(63) + -1) + sqrt(63) + (sqrt(63) - (sqrt(63) - (0 + sqrt(9072)))) + -3*sqrt(6300) + sqrt(126)\/sqrt(2) + 1 + 1.\nAnswer: -45*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 1. Let p = 19 + -17. Suppose -12 = -0*q - 2*q - p*u, 4 = -2*q + 2*u. Let w be (q\/4)\/((-1)\/2). What is z(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.44 + 24. Let a = r + 0.4. Let q(j) = -j**3 + 50*j**2 + 336*j + 3. Let x be q(56). Put -3\/4, x, a in descending order.\nAnswer: x, a, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -35. Suppose -1 = 4*y - q. Does y = 0.42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 1 - (-33 + 1 + 15) - (-48 + -3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -20*o**5 + 2666508*o**4 - 57054640*o**3 + 70383856*o**2 + 87447744*o - 42657280 = 0?\nAnswer: -1, 2\/5, 2, 20, 133304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 + -100. Let v(p) = 6*p**2 - 4*p + 7. Let s be v(u). Let k = 954 - s. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 793.1 - 837.27. Let z = r - -44. Let s = z + 0.186. What is s rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {h: 7, r: 3, d: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + y - 8 = -y, -b + 3*y = 12. Suppose b = -3*w - 2*w + 175. Let x = 61 - w. Calculate the greatest common divisor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -1)\/((-2)\/10). Suppose -2*a = -f*a + 15. Suppose -a*r = 2*u - 76, 2*u = 4*r - r - 36. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**3 + 59*q**2 - 39*q + 33. Let p be k(19). Solve 0 = -p*w - 32 + 18 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.246269 less than -2427?\nAnswer: -2552.246269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.2 - -61.\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*g + 25 = -g, y + g + 1 = 0. What is the second derivative of -3*f + 4*f**y - 7*f**3 + 8*f - f wrt f?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-4 + 13 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252159 is divided by 247?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 586 + -473. Calculate the remainder when d is divided by 32.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27237189.00077 - -27237067. Let y = -0.253 + -121.747. Let t = p - y. Round t to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100224214 (base 5) to base 14.\nAnswer: 453105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 less than 588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14212, 2, -4, 0 in decreasing order.\nAnswer: 14212, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-8))\/((-6)\/20). Let j = 0.0475 + -0.0475. Let s = -4.016 + 0.016. Which is the smallest value? (a) s (b) i (c) j (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(7) + 1 + sqrt(7))**2 - 5*sqrt(42)\/sqrt(6) - (-2*(sqrt(1008) + sqrt(1008)*3)*-6)**2) + -4.\nAnswer: -2322372 + 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 26 = 5*x, -x - 5 + 31 = 3*p. Let m = -8 + p. Let o be (-140)\/(-21)*(3 - m). What is the highest common factor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -8*w - w + 31 - 7*w - 12 + w**2. Let h be r(15). Suppose -h*m - 6 = 2*m. Sort 3, 10, m in ascending order.\nAnswer: m, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/7 - 156*v**2\/7 + 317682*v\/7 + 317836\/7 = 0. Calculate v.\nAnswer: -439, -1, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1032 + -706. Suppose 2*n**3 + f*n + n**4 + 324*n - 650*n - 3*n**2 = 0. What is n?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*o - d, 3*o + 4*d = -587 + 584 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/1656)\/(4\/(-5574)). Let h = n - 3\/92. Factor -2\/3 + 20\/3*g**3 + h*g - 20\/3*g**2 + 2\/3*g**5 - 10\/3*g**4.\nAnswer: 2*(g - 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 4*u + 3*u)*(-3*u - 2*u + 7*u)*(-101*u + 101*u - 10*u**2).\nAnswer: -60*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from fzffzzzzzzf?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 75669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (216\/(-32))\/((-2)\/16). Let m be 59\/(-18) - 12\/y. Is m != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 6:23 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 47796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5328 + 8344. Calculate the greatest common factor of d and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + a**2 - 2*a**3 + (-5*a**2 + a**2 + 5*a**2)*(4*a + 3*a - 2*a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from {b: 1, a: 2, l: 1, e: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 1 + 0*w**3 - 61*w**2 - 67*w**2 + 131*w**2 + w. What is v(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 17*h + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9*j - 17. Give c(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/33? (a) -5\/2 (b) 0.3 (c) -2 (d) -15 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*0\/5. Let s be 3\/(1\/(1 + a)). What is the second derivative of o - o**s + 0*o**3 + 2*o**3 wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-130))\/(9\/(-5))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 - 59. Solve 2*b - y = 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3180\/(-45792))\/((-4)\/48)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/60 - h**2. Let r(u) = -937085*u + 937085*u + u**2. Determine r(x(y)).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137154?\nAnswer: 2, 3, 22859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29802 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3, -2*f = -0*f - m - 1. Suppose -525 = -5*v - 5*p, 0 = -4*v - 2*p - 3*p + 418. Let j = v + -105. Solve 0*g + f = j*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(3\/4)*y*y**(2\/65))**48)**(18\/5) assuming y is positive.\nAnswer: y**(156168\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -8*m**2 + 106*m + 67. Let s be h(11). What is the highest common divisor of s and 318?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -1735.\nAnswer: 24\/1735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 58\/5 of a hour?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 30\/683?\nAnswer: 30\/683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -32?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-9)\/(-6)*66\/27.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 606, -67, 4 in ascending order.\nAnswer: -67, 4, 606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18092789.\nAnswer: 11, 13, 23, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2364 divided by -126\nAnswer: 394\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzcc. Give prob of sequence zc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/4335 and 71\/2312?\nAnswer: 34680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32854 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 472*p**3 + 2 - 9 + 7.\nAnswer: 472*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 723.7 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745 is divided by 120?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -95573.5.\nAnswer: 382294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -166 less than -165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-5)\/(-2250)*(-10)\/(4\/(-4))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 14*x + 18. Let g be y(7). Suppose 0 = -u - 16*z + g*z + 86, u = -5*z + 79. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 16 = -4*j, 0*j - 5*f - 8 = -2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 18. Let r = b + -3. Solve j = -4*x - r*j - 4, x = 2*j - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, v: 2, j: 9, a: 3}. Give prob of sequence aa.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2186046.\nAnswer: 2, 3, 121447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 71. Suppose -5*n + m + 15 = 0. Let t = 63 + -38. Calculate the remainder when t is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -10392639991.\nAnswer: 10392639991.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*k = 27. Let n be (-3 + 3)\/(2*1). Suppose n*q + 3*q = 12. Solve 3*r = -q*y - k, -y + 12 = y - 4*r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*t + 1608*t + 14*t.\nAnswer: 1379*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14883 and 246.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-35)*(-30)\/(-96)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1571 - 256 = -11*x - 192*x. Let t be 2*2*(-10)\/(-8). Solve x*o = t*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 982993*m**2 - 491304*m**2 - 491688*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 11:37 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 - 3*b + 4. Give h(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**32))**(-1\/35) assuming y is positive.\nAnswer: y**(-32\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2))**(-1\/6))**(-2\/5)\/(g*g*g**(-3)\/g*g**(-1\/6)\/g*(g**(1\/3)*g)**(-1\/59)) assuming g is positive.\nAnswer: g**(1803\/590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96564350*q**2 + 52*q + 640768.\nAnswer: 193128700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/636 and 103\/12?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26\/441 or 1115?\nAnswer: 1115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/3 - 2\/3. Suppose 6 = 5*h + 3*q, 2*h + 3*q - 5*q - 12 = 0. Suppose -84 = -m - h*m - i*p, -3*p - 17 = -m. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(1\/5)*h*h\/(h*(h**(-7\/5)*h)\/h*h) assuming h is positive.\nAnswer: h**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**3\/6 - r**2\/2 + 4*r + 6. What is o(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -48, -83, -142, -231, -356?\n\"Answer: -j**3 - 6*j**2 - 10*j - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 520*f**4 - 724630*f**3 - 1074165*f**2 + 20925*f = 0.\nAnswer: -3\/2, 0, 1\/52, 1395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 205 + 179. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a - 2. Let u be d(-4). Suppose -j - 3 = -u. Let k = 89 - j. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -6. Let r = 2.8 - c. Suppose 2*g + 31 - 1 = -4*u, -2*g - 2*u - 20 = 0. Sort g, r, 0.2 in decreasing order.\nAnswer: 0.2, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -544 divided by -4?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/63 - (18\/(-45))\/((-252)\/(-225)). Factor x*m**4 + 20*m - 31\/4*m**3 + 111\/4*m**2 - 16.\nAnswer: (m - 8)**2*(m + 1)*(2*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-1 - 1)) + -17 + 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -58*d + 1. Let j be h(3). Let k(z) = 40*z**2 - 82*z - 13. Let a be k(4). Let i = j + a. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 38\/2457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -157 - -176. Solve 5 = x - 4*x - 2*t, 5*x = 2*t - r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 562.\nAnswer: -1\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 + u**2 - u**2)*((u - u + 2*u)*(-5 - 2 + 5) - 16*u + 14*u - 20*u).\nAnswer: -52*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 - 108. Let z be (2 + 7)\/(g\/(-36)). Calculate the greatest common factor of 45 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**5*z + 27*s**3*z**2 + 19*s**2*z**2 + 2*s**2*z wrt s?\nAnswer: 60*s**2*z + 162*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2261641, -4523285, -6784929, -9046573?\n\"Answer: -2261644*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 2*f - f)*(-78*f + 45*f + 1 + 125*f)*(2*f - 2*f + 3*f) + (-2*f + 2*f - f**2)*(0*f - 3*f + 5*f).\nAnswer: -554*f**3 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(4*k - 253*k**2 + 10697 - 10697) - 18*k + 11*k**2 + 18*k in the form m + y*k + i*k**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -142.821288 to the nearest integer.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = -51*z - 139 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 93 or 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42237.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 332, 324, 306, 272, 216, 132, 14?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -7*a**4\/3 + 7747*a. Let c = 2 + 0. Let b(i) = -c*i - 4*i + 5*i. Give q(b(t)).\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 + -103. Suppose 64*h - 67*h + 9 = x. Suppose 16 = 5*p - 2*p + 2*f, 2*p + 11 = h*f. What is the least common multiple of 1 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i + 38317702895 - 38317702895.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.4+36.05\nAnswer: 34.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2902 - -850. Let o = -1305 - n. Suppose h - 876 = x + o, 0 = h + 3*x - 1623. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1199 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 31 + 86*v**3 + 729*v**3.\nAnswer: 815*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 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: In base 13, what is -28 - 14?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1\/11, -0.04, -2\/5, -0.1 in descending order.\nAnswer: 1\/11, -0.04, -0.1, -2\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0890564 - -0.089. Round o to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 2*c**6\/15 + c**2 + 5*c. Differentiate n(b) with respect to b.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/29 or -4?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 97464 to the power of 1\/2, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhwe when four letters picked without replacement from {f: 5, h: 4, e: 1, w: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 3*s - 1. Let l(n) = -n**2 + n. Let p = -7 - -10. Suppose -p*u - 21 = 2*u + 4*t, 4*u + 8 = -t. What is u*h(g) - 3*l(g)?\nAnswer: 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1976?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 11*f**2 - 10*f + 6. Let x be z(10). Let k be 60\/33 - x\/(-33). Let w(m) = -4 - m - k + 3*m + 1. Determine w(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13405 by -2681.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.14 + 0.26. Let g = -151.8 - -124.8. What is the closest to g in -5, -2\/7, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5 = 0, k - 4*l - 3250 = l. Suppose -6*y + k = -3*y + 2*b, -y + 4*b + 1101 = 0. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - f - 3. Suppose -17 - f = -5*l. Suppose -q - 15 = l*w, -q = 2*q + w - 10. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33277727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5204149 is divided by 10471?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 186*d + 478 - 478 in the form y*d + f and give y.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 2*r + r)*(-9*r**3 - 9*r**3 - 9*r**3) + 2 - 2 + 11*r**4 in the form m*r**2 + n*r + j*r**3 + o*r**4 + u and give o.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4*y**2 + 48*y = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -48. Suppose 0 = 7*y - v*y - 566. Let m = -375 - y. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5528830, 11057673, 16586516, 22115359, 27644202?\nAnswer: 33173045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14 + -11 + (-19)\/9. Do q and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 76*l**5 - 1004*l**4 - 34024*l**3 - 138064*l**2 + 298080*l + 403200 = 0.\nAnswer: -10, -8, -1, 42\/19, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/3 + 178*q**2\/3 - 2092*q\/3 - 3696 = 0. Calculate q.\nAnswer: -99, -4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16030 and 1643390?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 13. Suppose -w = -3*l + 4*l - 28, -81 = -2*w + g*l. Is (w + 6)*(-1)\/(-3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1010340033 - 4?\nAnswer: 1010340024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -16*i**3 + 188*i**2 - 24*i - 128. Let j(a) = a**3 - a**2 + a - 2. Let r(g) = -20*j(g) - s(g). Solve r(x) = 0 for x.\nAnswer: -42, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 74715 and -0.9.\nAnswer: 74714.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-507) - (-1 - (-206)\/182).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7311, 7352, 7413, 7494, 7595?\nAnswer: 7716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1.1. Let g = 12 + -9.7. Let d = 2 - g. Which is the closest to -1\/3? (a) -2 (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000427839 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f. Suppose -h - 2*h - 726 = f. Let q = h + 433. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1193\/3, -10\/13 in ascending order.\nAnswer: -10\/13, 0, 1193\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 2*h + 12 = 3*r, 15 = -3*r + 3*h. Let m = -2 - r. Solve -3*o + 1 + 8 = m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 36*v - q, 162*q - 163*q = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/20 and 113\/9858.\nAnswer: 98580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 - -54. Let z(q) = -q**2 - q. Let o be z(1). Let i be 0 + 2 - 7\/4. Which is the closest to i? (a) o (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17891\/29 + -617. Let t = -22 - -108\/5. Which is the third smallest value? (a) 4 (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*y - 238 = 0, -2*c + 615 = 3*c - 5*y. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.38 (b) 0 (c) -0.11 (d) -608 (e) -2\/15 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(19) + sqrt(19)) + (4 + 1*sqrt(19))**2 + sqrt(19).\nAnswer: 35 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 38093*o**3\/2 + 47*o**2\/2 + o - 6. Let w be a(7). What is w rounded to the nearest ten thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*k*m**2 + 4*k*m*y**3 + 29590*k*y**4 - m**2*y**3 + 4517*m**2*y**2 - 2*m*y**2 wrt y?\nAnswer: 24*k*m + 710160*k*y - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p**3 + 0 + 141*p - 1 - 148*p - 2*p**4 - 4*p**3 wrt p.\nAnswer: -24*p**2 - 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 5:10 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -46036 (base 7) in base 15?\nAnswer: -36e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 + 136*k**2 + 133*k**2 - 2*k**3 + 21*k + 132*k**2 - 383*k**2 to the form l*k**2 + y*k**3 + h*k + z and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -341.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23796661?\nAnswer: 7, 37, 139, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -1\/12, 0, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/6*-1*12. Is 4\/(b\/(-28))*29 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ff3 - 6?\nAnswer: -ff9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - c - 682 = -4*c - 420, -29*a + 3*c = -1438 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j**3 + 28*j - 2*j**3 + 60*j - 112*j + 24*j.\nAnswer: 19*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 61*t + 31 - 24 to the form d*t + f and give d.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -2)\/(3*(-2)\/42). Let j be w\/(-2)*-2 - 2. Let t(b) = 4*b + 40. Let z be t(-8). Solve 0 = j*m - z - 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502.2949 microseconds in milliseconds?\nAnswer: 0.5022949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 7 - (-168 - -157).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a century in years?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/42 and 4\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -28, -1.\nAnswer: -28, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 898*u + 79917. Give a(-89).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 7*h**3\/3 - 5*h**2 + 8. Find the second derivative of l(q) wrt q.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 17 - -17) + -28.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -322 + 1486. Let p = w - 5839\/5. Which is smaller: p or -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.1 in -9, -18\/61, -284?\nAnswer: -18\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -4328\nAnswer: -5\/2164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1539)\/(-114)*(-8)\/(-12)*-1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Suppose 3*g = 5*t - 52, 5*g - w = 2*g. What is the highest common divisor of 88 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 221? (a) 12\/7 (b) -0.3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 44, 8410*t + 34 = 4*q + 8412*t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1022 - 1016. Let u = 5 - -11. Solve 4*m + 4*i - u = 0, -o*m + 2*m + 11 = -i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muuu when four letters picked without replacement from uuuuuuwmuuwuwuuwww?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/10, -2, -857169?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -22, -21, -18?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -227 + 229. What is the closest to -0.4 in -1, q, -3, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351174 (base 11) in base 9?\nAnswer: 4340360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*m + 5*b, 3*m + 2*b + 2*b = 6. What are the prime factors of 7\/m*(2 - 10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*u**5 - 1083*u**4 - 9579*u**3 + 28587*u**2 - 24075*u + 6156 = 0. Calculate u.\nAnswer: -171, -12, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ae (base 16) to base 6.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 221\/(-13) + 1*9\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f + f + 5*f + (4*f - 8*f - 16*f)*(2 + 0 - 3)*(1 + 1 - 3).\nAnswer: -19*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1694 divided by -11.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/10 and 2\/(-2) - 114\/(-16).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-21 - (-23 + -3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -93794, -373640, -840042, -1492994, -2332490, -3358524, -4571090?\n\"Answer: t**3 - 93284*t**2 - t - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 4 + 3 = -3*d, 4*g - 5*d - 33 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h**2 + 7*h + 5 + 0 - h**3 + 5*h**2. Let z be a(-4). Let j = -9 + z. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 f when three letters picked without replacement from nfffn?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y**3 - 4*y**2 + 5*y - 13. Let v(w) = -w**3 - w**2 + w - 1. Let s = -726 - -725. Give s*k(o) + 5*v(o).\nAnswer: o**3 - o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15021.9999966393 + 15022. What is f rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37435689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*r + 53. Let q = 16 + r. Suppose 0 = 2*c - 6, q*z - 9 = 3*z + c. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27332*b**3*z**2 - 7889*b**2 + b*z**2 + z**2 wrt b?\nAnswer: 163992*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665217.1 months in centuries?\nAnswer: 2221.01425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 63, 538, 1809, 4272, 8323?\n\"Answer: 66*m**3 + 2*m**2 + 7*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/5*5\/2. Suppose -r*s + 5*m = 3*s - 10, 3*s - 2 = 5*m. Suppose -s*j = -11 - 5. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3040 divided by -608.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10681.\nAnswer: 11, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 68911 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -278202 (base 9) to base 6.\nAnswer: -3351045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 + -0.6. Let n = s - 0.5. What is the biggest value in 0.4, n, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 82*l + 648 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*(sqrt(1377) + 1 + sqrt(1377))*-4 + 3 + (2 + (sqrt(1377) - sqrt(1377)*2))*1*-1)**2.\nAnswer: 67473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 390\/2376*(-25)\/(-150) and 1\/81?\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.913021 weeks to minutes.\nAnswer: 19283.25168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271570*g**3 - 229855*g**3 + 501479*g**3.\nAnswer: 54*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4479 + 4478.7. What is the nearest to 0.1 in 4.9, j, 5, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 + f**4 - f**2 + (-15 + 6*f + 15)*(-2 - 2*f**3 + 2).\nAnswer: -11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20480130 and 1155?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -21386 (b) 2\/47 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q + 0*q - 3*q + (0*q + q + 2*q)*(2 - 1 - 2)*(5 - 6 - 2).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25949 - -25951. Solve -19 = -u - a*n - 21, -5 = -5*n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3 + 11. Let z be (4\/10 - i\/35)\/(-2). Suppose 2*s - 6*s + 132 = z. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65342509 to the nearest integer?\nAnswer: 8083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 11 = 2*s + 5, 5*u + 4*s = -35 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, -0.4, -2493?\nAnswer: -2493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaan when four letters picked without replacement from ooonnonnonoaaaanjac?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 193695 and 649489.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19478241 to the power of 1\/2, to the nearest integer?\nAnswer: 4413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 19*q - 34. Let j(u) = 77*u - 154. Give 6*j(o) - 26*x(o).\nAnswer: -32*o - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (12 + -78 + 15)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, 119, 272, 445, 644?\nAnswer: 875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*((-75250)\/(-9) + (-4)\/36)?\nAnswer: 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*h, n + h = 4*h + 48. What is the lowest common multiple of n and 14?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -15. Suppose m + i = -2*m. Calculate the remainder when 26 is divided by 120\/9 - 6\/m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7464969 and 6.\nAnswer: 14929938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2613780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 99)\/23 - -10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -3.859962849\nAnswer: 0.859962849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139552.9 litres to millilitres.\nAnswer: 139552900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 401 - 3*o + 378 - 1290 in the form q*o + z and give z.\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 23\/(-7) + 6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**3 - 3*l**2 + 3*l**2 + 0*l**3 + l**3 + l**3 + (-5*l**3 + 2*l**3 + 4*l**3)*(-3 + 2 + 3) as s*l**2 + n*l + x*l**3 + o and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 3)*(-4*i**2 - i**2 + 2*i**2).\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m + 0*m**2 + 6*m**2 - 3*m**2.\nAnswer: 3*m**2 - 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 1 - 8*n + 2*n)*(-n + 2 - 2).\nAnswer: 6*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 20 = 5*d, -2*d - 31 = -4*o + 1. Suppose -2*p + 7*p = o. Suppose 2*c + 0 + p = -2*q, 3*c - 9 = q. Solve -c*k - 4 = -12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21845016.\nAnswer: 2, 3, 127, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*q + 4193 - 3194 + 4311 = 0 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -826 = -4*q - 270. Let j = 214 - q. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 221*a + 9602. What is s(-43)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3\/g)**(-1\/4))**(3\/17)*(g**(1\/12)\/g**(-9))\/(g*g**1)**(-21) assuming g is positive.\nAnswer: g**(10403\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 1. Suppose m*b = -21 + 348. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 161*i**4 + i**3 - 426 wrt i.\nAnswer: 644*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + sqrt(684)*-2)*6 + sqrt(684)*5*-5 + sqrt(684) + -2 + -3 + sqrt(684) + sqrt(684) + sqrt(684) + 2 + sqrt(684) + sqrt(684) + -2)**2.\nAnswer: 1500*sqrt(19) + 427525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -77*r**3 + 2*r**2 + 35*r + 5. Let v(q) = 116*q**3 - 3*q**2 - 56*q - 8. What is 8*i(w) + 5*v(w)?\nAnswer: -36*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*2\/(-10)*-2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16961.0158 + -16964. What is p rounded to one dp?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -433, 2, 11 in increasing order.\nAnswer: -433, -4, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/(((-8)\/4)\/(-12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 4*t**2 - 42*t - 136. Determine x(-8).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56673\/25 - -2267. Find the common denominator of -1\/26 and r.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 4*b**5\/35 + 6*b**4\/7 - 64*b**2\/7 + 295. Let s(a) = 0. What is a?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646252 smaller than 646257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1096 - 536. Suppose -7*h + 0*h = -f. What is the remainder when h is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103080 by 6872.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 263839?\nAnswer: -1319195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 4*v - v)*((1 - 2 + 2)*(0 + 0 - v) - 4*v + v - 16*v).\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 228*f + 3967. Determine o(-17).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - l + 2. Let d be b(-2). Suppose d = -z + 6*z + 30. Let j = z - -18. What is the highest common factor of 36 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/600 and -47\/16?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllllllflllllllfl. What is prob of sequence lf?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.07 and -124.27.\nAnswer: -124.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/6954860 and 69\/34430?\nAnswer: 6954860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.9 - -6. Suppose 0 = 5*r + r. Which is the closest to l? (a) r (b) 0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**2\/7 + 14796*r\/7 + 177264\/7 = 0.\nAnswer: -7386, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s**2 + 25*s**2 - 19*s**2.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 713664718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 1. Let a(c) = -c - 4. Calculate a(k) + 5*x(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 556?\nAnswer: 20016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10, -16, -20, -22, -22, -20?\n\"Answer: y**2 - 9*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9261 - 2239. Which is smaller: i or -11501?\nAnswer: -11501","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t + 5. Let m(r) = -r**2 - 21*r + 24. Let w be m(-23). Let j be -1*8\/(-16) + w\/4. Let d(v) = -v + 1. What is j*d(q) + g(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2525 and 5.\nAnswer: 2525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**2 - 21*j + 1. Let q(w) = 3*w**2 + 11*w - 1. Let t(f) = 4*g(f) + 7*q(f). Let s be t(8). Solve -s*y = a + 15, 0*a = -4*a + 4*y + 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 470*o**2 + 13*o. What is the remainder when f(-2) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 6:27 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2540*s**5 + 162*s**3 - 4*s**2 - 8871839*s wrt s.\nAnswer: -50800*s**3 + 972*s - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 5707.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**2 + 4*i**2 + 9*i - i**2 + 0*i - 19*i to p + c*i**2 + l*i and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/4*27*4. Suppose -4*b + 262 = -2*h, -5*b + 98 + u = 2*h. Let c = 119 - b. Is 26 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Let r be q(-5). Let o(m) = -8*m + 31. Let g be o(4). Let v(f) = -f**2 + 4*f - 5. Let t be v(4). Put r, t, g in increasing order.\nAnswer: t, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2881356 divided by -2881356?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -149427901.\nAnswer: -3\/149427901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 388 - 377 + 182.\nAnswer: -3*j**2 - 583","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15.3 - -12\nAnswer: 27.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59765 is divided by 138?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44430040 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z + z)*(-173 + 44 - 16).\nAnswer: -290*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*s + 20. What is the derivative of -5 - 8 - 1 + 7*o**s + 3 wrt o?\nAnswer: 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -196*j + 4123. Let u be t(21). Is 8 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 12:42 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.6863 to 0 dps.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 250 = 5*k, -4*k + 4*c + 6 = 242. Let r(m) = 15*m - 3. Let d be r(4). Let i = d + k. Solve -i = q - 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*n + 1718 + 352 = -320*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -12. Let f = 7 + o. Find the second derivative of -3*z**4 + 2*z + 0*z + f*z wrt z.\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, and 2 a when four letters picked without replacement from zzztaazaaaazaaazza.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (252\/15)\/6*-1960. Let k = 9999 - h. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (104\/(-13))\/((-8)\/1028)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, -7, -3\/305 in increasing order.\nAnswer: -7, -4, -3\/305, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y + 10. Let r be 0\/y - (-2 + 2). Solve 6 = -r*q + 2*q + 3*o, 3*q + 10 = 5*o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 541466 rounded to the nearest one thousand?\nAnswer: 541000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 10 (b) -284299 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*n - 24. Solve -3*z - n = 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-3*g - 3*g + 5*g + 4 + 3*g - 4 + (-2*g - 2*g + 6*g)*(-5 + 0 + 3)) + 26*g + 39 - 41 + 127*g.\nAnswer: 157*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 133078*s**4 - 126094*s wrt s?\nAnswer: 1596936*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*o = -9*o - 344 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 522 - 1932 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/152420103 or 0?\nAnswer: 2\/152420103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9828924593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174489?\nAnswer: 3, 7, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -40*a + 7 + 12 - 2 - 2*a**2 - 3 + 1. Calculate b(-20).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 - 16*t + 3. Let l(p) = -14*p**2 + 110*p - 21. Determine -4*l(z) - 27*m(z).\nAnswer: 2*z**2 - 8*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/175 - 2\/7. Let d = -0.02 + 2.02. Let u = 1.9 - d. Which is greater: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 24. Let v = -11 + 22. Let i be c(v). Which is greater: -15 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158360 - 100192 = -3648*h - 888*h for h.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - u = 7, 6*u + 4354 = 4348 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxffbxfbb. Give prob of sequence bxxb.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from {l: 3, r: 1, y: 3, a: 6}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -3 - -1) + -1. Suppose g*y - 7*y - 22 = -u, 4*u - 13 = 5*y. Let i(p) = p**3 + 6*p**2 + 6*p + 7. Let s be i(y). Solve -5 + 3 = s*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30210 + 2303?\nAnswer: -21301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -583*n + 1683*n + 1000*n + (5 + 2 - 5)*(n + 4*n - n) - n + 2 - 2 in the form s + t*n and give t.\nAnswer: 2107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -302 * 31.1.\nAnswer: -9392.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g + g - 2 + 2. Let k(l) = 2*l. Determine -8*k(t) - 3*w(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/((-77)\/132). Put u, 5, 6 in descending order.\nAnswer: 6, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 9812*d - 78465. Determine f(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -295 and -510.\nAnswer: 150450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 29120.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 - -97. Calculate the highest common divisor of h and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 11*j**2 - 4682*j - 1710. Give i(426).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222501 (base 7) to base 16.\nAnswer: 99b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297.2407nm to millimeters.\nAnswer: 0.0002972407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -2, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 - 3. Let s be z(4). Suppose 10*w - 14*w = -80. Let d = s - w. What is the highest common factor of 81 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -4 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 26372\nAnswer: -1\/13186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 286498055577093 - 0.4?\nAnswer: 286498055577092.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - (-2)\/(-1))*2\/(-6). Suppose -g*m = 6, 5*t + 24*m - 4378 = 28*m. List the prime factors of t.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + (8 + -8 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)*i**11)**(1\/11)\/((i**(3\/2)*i)\/(i*i**(-6\/11))*i**(-2\/9)\/i**6) assuming i is positive.\nAnswer: i**(343\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49632*g**2 - 49629*g**2 + 2 + 99345*g**2.\nAnswer: 84*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 0.1, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14305*t - 8540 = -12996*t + 3241 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17864192 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h + 5. What is y(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-586 + 586 - 30*m)*(-85 - 3*m + 4*m + 69) + (3*m - m - m)*(m + 3 - 3).\nAnswer: -29*m**2 + 480*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*k + 3*d, -14*k + 3*d - 9 = -15*k. Is k smaller than 36\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.69 - 21.49. Let j = -19.7 - a. Which is smaller: j or 170?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 59?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b06 + 4?\nAnswer: -b02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 988179401 plus 2249?\nAnswer: 988181650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27152 and 24512.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12670 = 71*d - 161*d - 3670 for d.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - a = -3, -4*f + 12*a + 20 = 8*a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.131004163 + 0.13101. Round k to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/132 and (138\/(-88))\/((-72)\/(-40)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**5\/x)\/x)\/x**2)**(13\/2) assuming x is positive.\nAnswer: x**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 + 4) - -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (579*j - 581*j + 8*j**2 - 36*j**2)*(1 - 2 + 2) as k*j**2 + x*j + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/588*-464)\/((-54)\/(-21))*-9?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5873939796 and 7724.\nAnswer: 7724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11b31d3 (base 14) to base 15\nAnswer: -b2d14e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2823181 or -2823290?\nAnswer: -2823181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v**3 - v**2 + v + 2. Let d be j(-1). Let i(z) = -z - 4. Let k be i(d). Calculate the common denominator of 79\/16 and (75\/40)\/((-2)\/k).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7643991?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 10)\/((-3)\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 1137*m**5\/20 + m**4\/4 - 127*m**3\/6 + 2*m**2 - 298*m. What is the second derivative of z(s) wrt s?\nAnswer: 6822*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o = -25*o + 968. Let u be o\/154 - (-1)\/2. What is the smallest value in u, 0.06, -2\/5, 0.03?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 20*a - 6. Let r(v) = -7*v + 2. Suppose d + 5 = 2*d, -5*c - 4*d = -45. Give c*x(u) + 14*r(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5079?\nAnswer: 3, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 243*f + 2104. What is the remainder when p(-6) is divided by 207?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/(l**(-1\/3)*l))\/l)*l)**(-25)\/(l\/(l**5\/l)*l*l\/(l**(-9)\/l)))**(-34) assuming l is positive.\nAnswer: l**(7718\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -890 + 891. Let w(r) = -26*r**3 - 2*r**2 + r. What is w(m)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97*k + 203*k - 1802 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 419, 971, 1985, 3539, 5711, 8579, 12221?\n\"Answer: 13*y**3 + 153*y**2 + 2*y + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1074*a = -1064*a + 30 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -813, 0, -0.5 in decreasing order.\nAnswer: 4, 0, -0.5, -813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/4 and -101\/52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t + 11. Let j be c(-8). Let g = j - -31. Solve 6 = g*o - 4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/50 - (-33)\/10*-2. Let s be (30\/9 + -3)*30. What is the common denominator of d\/s + 162\/(-60) and -19\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 181149, 724614, 1630387, 2898462, 4528833?\n\"Answer: -f**3 + 181160*f**2 - 8*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**2. Let t(d) = 6*d + 27. Let p be t(-4). Let g(o) be the first derivative of 0*o**2 + 5\/3*o**p + 0*o + 5. Determine -11*c(i) - 6*g(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8074858109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 60 = -4*w, -4*a - 2*w - 102 = -8*a. Solve 7*g = g + a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + 4 + ((sqrt(19) + sqrt(1539)*-1)**2 - (sqrt(228)*-2)\/sqrt(12)) + 5.\nAnswer: 2*sqrt(19) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45538*x = -46911*x - 59039 for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 6 = c, 5*c - 3319 = -2*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620.94 rounded to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-468)\/195)\/((81\/(-30))\/9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.1151844 nanometers?\nAnswer: 0.0000000000001151844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d. Let h(j) = 29*j - 2. Let v(f) = 68*f - 7. Let c(m) = 5*h(m) - 2*v(m). What is s(c(z))?\nAnswer: -54*z - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -96, 1, -4.32, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, z: 10, p: 1, b: 3, d: 2}. Give prob of sequence zi.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 + 2\/12*65 and (-2 - (-2 - -1)) + 387\/66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3332301 (base 4) to base 11\nAnswer: -11283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 641335 - 14?\nAnswer: 641321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*sqrt(3)*4 - sqrt(1728) - (4 + (sqrt(3)*-3)**2 + 4)*3).\nAnswer: 88*sqrt(3) + 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3622167 and 5715?\nAnswer: 18110835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (187 - 58) + -145 - (-89 - (2 - 1))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -11*b**5\/5 + b**4\/2 + b**2 - 21*b + 27. Find the second derivative of n(p) wrt p.\nAnswer: -132*p**2 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 40.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 422*x - 8467 - 8671 = 0 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.233 in -0.222, -4, 2\/5, 0.064?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50.506 + -50.5. Let s = -60089.0060013 + 60089. Let x = s + g. Round x to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -0.5. Let j = 23.11 + -0.11. Let a = 18 - j. Put 1, a, u in decreasing order.\nAnswer: 1, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z - 16. Let s be w(-5). Let f be (s\/(-35))\/((-4)\/50). Solve f*d = t + 21, t - 4*t - 7 = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16700 - 16700.1. Sort 1\/5, 0.06, x, 9\/19 in decreasing order.\nAnswer: 9\/19, 1\/5, 0.06, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 262, -592, -1520, -2522?\n\"Answer: -37*g**2 - 743*g + 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from {k: 3, a: 11}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + g - g)*(3442*g**3 + 3420*g**3 - 10269*g**3 + 196*g + 3418*g**3).\nAnswer: 11*g**5 + 196*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12299 is divided by 246?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250 times 64?\nAnswer: 80000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**3 + 3*h - 3*h)*(-27*h + 30*h - 14*h) in the form y*h + b*h**4 + c*h**3 + o + k*h**2 and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31149152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20.6 + -16. Let w = 16.6 - p. Let i = -0.01 + -1.99. Is i < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7089 or 7091?\nAnswer: 7091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {f: 10, e: 2, g: 6}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t**2 + 11*t**2 + t - 5 + 4 - 1. Calculate the remainder when j(2) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-20) + 62\/4. Suppose 4*a = -a + 5*j - 35, 3*j + t = 0. Calculate the common denominator of (-4)\/a - (-218)\/(-36) and -13\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1115498 * 1\nAnswer: 1115498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 2*j**2 + j + 1. Let l(d) = 8*d**3 + 110*d**2 - 2*d - 2. Let n(h) = -2*g(h) - l(h). Find the third derivative of n(a) wrt a.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-3)*819\/7. Let r = i + 521. List the prime factors of r.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:31 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czcc when four letters picked without replacement from {c: 4, p: 2, t: 3, y: 1, z: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.13 + -147.87. Let d = 151.77 + u. Let n = d - 0.769999555. What is n rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -9. Let u = -2 + -3. Sort v, 4\/3, u.\nAnswer: u, 4\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + 104\/17 - (-15)\/306. Suppose 0 + 1\/6*i**2 + y*i = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 > 353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3364529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-18)\/(-16))\/3)\/((-17)\/(-34)). Which is the third biggest value? (a) -1 (b) f (c) -1\/2 (d) 47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-1)\/y*y)**(9\/7)\/(y**3\/((((y\/(y\/(y*((y*y\/(y\/((y\/(y*(y\/(y*y\/y**6))\/y))\/y)))\/y)\/y*y*y)))\/y*y)\/y)\/y)))**(-19) assuming y is positive.\nAnswer: y**(893\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 0*u + 60. Calculate the highest common divisor of 75 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.075121 tonnes in kilograms?\nAnswer: 6075.121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1213421 - 0.08898\nAnswer: -1213421.08898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 18 = 90. Is 907 - ((-4)\/y + 20\/90) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155 - 19*o**3 - 155 + (-5*o**2 - o**2 + 4*o**2)*(4*o + 2*o - 4*o))*(2 - 2 - 2).\nAnswer: 46*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211, -1669, -5625, -13327, -26023, -44961?\nAnswer: -71389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/11))**(5\/8) assuming z is positive.\nAnswer: z**(-5\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*d - 100*d + 37 = 5*l, -2*d - 18 = -2*l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106.5 + 106. What is the nearest to 0.1 in 0.5, y, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 222561, 890113, 2002693, 3560295, 5562913, 8010541, 10903173, 14240803?\n\"Answer: -r**3 + 222520*r**2 - r + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3 - 5090\/30. Let c = o - -307. Suppose -3*a = 2*f - c, -4*a + 0*a = 16. Is f a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -507 - -877. What are the prime factors of w?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**3\/5 - 236642*g**2\/5 + 236641*g\/5 = 0.\nAnswer: 0, 1, 236641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.91 * 98.\nAnswer: -89.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(((-150)\/(-6))\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -10*z + 136. Let p be u(0). What is the common denominator of 62\/(-36) + (p\/36 - 4) and -52\/33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*m. Suppose -2*z + 6 + 14 = -4*g, 5*g + 20 = m. Suppose -z*d - i + 24 = 0, -3*d = 4*i - 2*i - 38. Solve -5*l - d = -0*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 2*h**2 + 2*h - 35. What is q(-7)?\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(300))\/(sqrt(16)\/(sqrt(32)\/sqrt(8))).\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 779 and 369.\nAnswer: 7011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 152\/20 + (-2)\/(-5). Let b(i) = 3 - 18*i + v*i + 9*i. Let l be b(4). Is l bigger than -4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*h + 49 = 0, -n - 2*h + h + 7 = 0. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 6*y**2 - 6*y + 7. Suppose 3*m = -4*u - 130 + 588, 3*m = 4*u + 418. Suppose 0 = 7*b + m - 608. Let z = -61 + b. Determine s(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -752, 0, -4, 4, -38 in increasing order.\nAnswer: -752, -38, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -7*u**5\/20 + 12*u**2 - 10*u. Differentiate b(t) wrt t.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 11:46 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -5, 0, -4, 4141 in decreasing order.\nAnswer: 4141, 0, -4, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2556239*j**3 + 1013048?\nAnswer: -7668717*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**2*v**3 - 26*h**2*v - 3136*v**3 + 182*v**2 wrt v?\nAnswer: -18*h**2 - 18816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 103, 21930 in decreasing order.\nAnswer: 21930, 103, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -820*a**3 + 2*a**2 + 0*a - 2*a + 0*a**2.\nAnswer: -820*a**3 + 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 517.31891 * -2\nAnswer: -1034.63782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*((-562)\/(-42) + 5 - 1570\/942).\nAnswer: 78\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*o**2*r + 62275*o*r - 2*o - 2790*r + 58 wrt o.\nAnswer: 12*o*r + 62275*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 327 + 1574. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwwwvwkkwwvkbkkbbww. What is prob of sequence vwb?\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-552 - 38 - 132 + 11)*(1 - 1 - p) to o*p + l and give o.\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 117*b**2 + 225*b - 20625.\nAnswer: 3*(b - 11)*(b + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 2*j**3\/3 - 2*j**2 + 8. Let y(a) = 3*a**2 - 5*a. Calculate -5*d(k) + 4*y(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - s + 1 = -3*r, r = -s. Let t be (9\/(-18)*-10)\/(r + 0). What is the closest to 4 in -1\/10, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 3:59 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3294*f + 3348*f - 918 = 0 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 1\/3*c**3 - 2*c**2 + 0*c**4 - 1\/12*c**5 + 0*c + 0. Differentiate v(z) wrt z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**2 + 194141595*x + 194141590 = 0 for x.\nAnswer: -38828318, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -237.317 - -236.3. Round k to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121 + -18. Let p = 509\/5 - u. What is the second smallest value in -1\/4, p, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z + 20 = 0. Let a be (z\/(-21))\/((-2)\/3). Let t be 12508\/1416 + (-16)\/3 + 0. Are a and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 - -1. Let r = -0.4 + i. Let d = 16 + -14. Sort d, 3, r in decreasing order.\nAnswer: 3, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*n = 6*n + 179055. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*k**2 + 3*k + 63*k**2 + 69*k**2 + 54.\nAnswer: 162*k**2 + 3*k + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etettgzreeese. Give prob of picking 1 t and 1 z.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**2\/7 - 782*r\/7 + 152881\/7 = 0?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 1, 674, 2, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99818*l - 99938*l + 480 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/465 and 17\/45.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 + 1) - 364\/(-637)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (3 + (161 - 7)). Let u = c + 158. Solve 15 = -3*d + u*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -20234\/1915?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(833) + 4*sqrt(17)*-2.\nAnswer: -22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 149 = j - 3*j, 81 = -2*t + 5*j. Let h = 55 + t. Suppose -36 = -h*u - 28. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732220 is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*m**3\/4 - 121*m**2\/4 - 160*m - 125.\nAnswer: (m - 10)*(m + 1)*(19*m + 50)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:18 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6\/11, 0.3, -0.3, 115, -11\/5, -26?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -6. Suppose x = -4*y + 92 + 328. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4296645 rounded to the nearest 100000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 72149259 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21.098879 and -3?\nAnswer: 24.098879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 613058022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t**2 - 5*t**2 + t**2)*(2*t**2 + 2229 - 11*t**2 - 2231) as n + z*t**2 + u*t**3 + v*t + r*t**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 61302 (base 7) to base 5\nAnswer: 434043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1430878?\nAnswer: 2, 715439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2373*m + 2377*m - 30 = 2, -4*m + 40 = 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**2 - 9*f**3 - 7*f**3 + 15*f**3 to the form r*f**2 + z*f + l + s*f**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2318, -1207, 638, 3217, 6530, 10577, 15358?\n\"Answer: 367*q**2 + 10*q - 2695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) 7 (c) 0.5 (d) -21 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 51 = -71 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 738 + 3582 = 0. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p**3 - 11*p**3 - 8*p**3 + 39*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 119.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 5:24 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(117) + 2.\nAnswer: 2 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 2762*d - 1907161.\nAnswer: -(d + 1381)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 22. Let j be n(9). Let k be j\/(-8) - (4 - 1). Determine p so that -4\/9*p + 0 + 2\/9*p**k = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36790823.\nAnswer: 23, 1599601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(183719\/(7474\/74)).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226661*g**2 + 1 + 22649*g**2 - 11*g + 738699*g**2 + 10*g.\nAnswer: 988009*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 290914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*1\/((-1)\/4). Suppose 4*n - 2*k = 90, -w*k + 97 + 9 = 5*n. Suppose -2*c + 10 = -n. Calculate the remainder when 46 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**11*r*(r**(-21\/2)\/r)\/r assuming r is positive.\nAnswer: sqrt(r)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/3 + 7*n**3\/3 - 3*n**2 - 7*n\/3 + 8\/3.\nAnswer: (n - 1)**2*(n + 1)*(n + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 12:30 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46566.\nAnswer: 2, 3, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 5 - 4)*(u + 45*u**3 - 32*u**3 - 46*u**3) to the form q*u**3 + h*u + f*u**2 + o and give q.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 25. Suppose 5 = 5*d - f. Factor -s + s**3 + 3*s**d - 2*s - 2*s + 7*s.\nAnswer: s*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxixr. What is prob of sequence iii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.64488852 to 4 decimal places.\nAnswer: -5.6449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 203547\/5537 less than 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (6 - (5 + 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*((q*q**(-1\/8))\/q)\/q*(q*q**14)\/q)\/(q*q**(1\/2)*q**(8\/3)*q))**(22\/7) assuming q is positive.\nAnswer: q**(2563\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-30) + 7 + 6\/((-648)\/(-4878))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 5*d + 4*d - 9, 2*b - 4*d = 8. Let x(n) = 3*n - 16. Let r be x(7). Let t = b + r. Solve 2*a = -t*a - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from qsqssqpsp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805992667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*v**2 + 80 + 8*v**2 - 61*v**2 + 111*v**2 + 3*v**3.\nAnswer: 3*v**3 + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110011100100001 (base 2) in base 12?\nAnswer: 77169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = h - 7270002, 0 = 3*t - h - 29772 + 5482274. Let l be 4\/(-3 - 5452499\/t). What is l rounded to the nearest 100000?\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3459460 to the nearest ten thousand.\nAnswer: -3460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/4 in -0.07, -0.02, -4\/9, -0.4, 5, 4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2)*(-75 - -1). What is the lowest common multiple of 2\/(-4)*(9 - b) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 1\/15*r**6 + 0*r**5 + 0*r**2 + 241\/6*r**3 + 221*r + 15\/4*r**4 + 0. What is the second derivative of d(o) wrt o?\nAnswer: 24*o**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/3 + 469*c**2\/6 + 1037*c\/6 + 115\/3.\nAnswer: (c + 2)*(c + 115)*(4*c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**7\/2520 - n**4\/12 - 9*n**3\/2 - 68*n. Let o(m) be the third derivative of h(m). Let a(j) = 45*j**2 + 4. What is a(o(q))?\nAnswer: 45*q**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 107*z**2 - 3*z + 101. Is k(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -2\/237, -0.2 in decreasing order.\nAnswer: 5, -2\/237, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2786197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in decades?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**7\/6 + d**5\/60 + 17*d**4\/4 - 140*d**2. What is the second derivative of r(t) wrt t?\nAnswer: -420*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 159 = -21*v. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(408)\/((-1*sqrt(40))\/sqrt(5)))\/(sqrt(15)\/(sqrt(140)\/sqrt(7))).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 658025 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 28973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-2)\/1 - -2. What is the third derivative of -y - 5*z**2 + 5*z**4 + 5 - 1 wrt z?\nAnswer: 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -145*c**4 - 2260747*c + 2260747*c + 4*c**5 + (0*c**3 - c**3 + 2*c**3)*(-2*c + 2*c - c**2).\nAnswer: 3*c**5 - 145*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3894176 and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(5\/(-6)) - 2. Let v(h) = 3*h - 13. Let m be v(6). Suppose 15 = 5*u - m*b, 30 = n*u - b + 6*b. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 64955*d**4 + 3*d**3*y**3 - y**3 - 7857*y**2 + 3*y wrt d?\nAnswer: 259820*d**3 + 9*d**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 206*h**2 + 201*h - 304. Let v be n(-102). Suppose o + 4 = 3*o. Solve 0*w - 8 = v*w + 2*m, 0 = -o*m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4566 + -4286. What is the greatest common factor of r and 1260?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43.894 + -0.106. Let w = m - -23. Let v = 18 + w. Put -0.2, 3, v, -2 in descending order.\nAnswer: 3, -0.2, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 261*v + 6. Let k(g) = 520*g + 11. Let s(a) = -6*k(a) + 11*p(a). Let m(l) = l**2. Give s(m(u)).\nAnswer: -249*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v*v**(-10)))\/(v\/(v*v**7)))\/((v*v\/(((v**(4\/7)\/v)\/v)\/v))\/v)**(5\/13) assuming v is positive.\nAnswer: v**(1245\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 16*k**2 - 14*k + 20. What are the prime factors of g(15)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j + 7*j - 4*j + j + 2 - 2 + (-5 + 2 + 2)*(-5*j + j + 2*j) + 0*j + 3*j - j - j + 5*j - 3*j + (3 + 0 - 5)*(2*j - 4*j + j).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 19*f**3 - 26*f**2 + 5*f - 284. Let t(b) = -20*b**3 + 26*b**2 - 6*b + 283. Let g(h) = 4*r(h) + 3*t(h). Differentiate g(u) with respect to u.\nAnswer: 48*u**2 - 52*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**1)**(9\/5)\/(w*w**(2\/7))**19)**(-35))**(-17) assuming w is positive.\nAnswer: w**(-12393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*(-160)\/100.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.598 times -3398?\nAnswer: -2032.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 559625 and 3515?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 12:12 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 3. Suppose -4*l + 16 = 32. Let z be 7 + (l + 4 - 4). Let y(d) = -2*d - 2. Let v(t) = z*s(t) - 2*y(t). Calculate v(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p + p + 9*p)*(-4 - 1 + 4) + (11 - 4 + 5)*(-p + 2*p + 3*p) in the form i + g*p and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -3*v + 507. List the prime factors of v.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**6\/780 + 7*s**5\/195 + 61*s**4\/156 + 28*s**3\/13 + 7103*s**2. Factor f(u).\nAnswer: 2*(u + 3)*(u + 4)*(u + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-63)*(696\/24 + -36) + 194\/(-12).\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 2299*h - 53408. Give b(-23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -649, -2647, -5981, -10651?\n\"Answer: -668*a**2 + 6*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10821533257 to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 2*g + 2. Let w be p(2). Suppose -w*m = -m - 15. What is the remainder when (-1 - -3)*(5 - 1) is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 + 630 = 22*p. Solve -r = -12*r + p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(76) + (sqrt(76) - (sqrt(76) - 1*sqrt(76))))*-4 + ((sqrt(76) + -1)*1)**2).\nAnswer: -40*sqrt(19) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -192 + 203. Solve 5*c + 3*b - 14 = 0, 3*c - 5 = 2*b + r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**5\/12 - 3*n**4\/8 + n**3\/6 - 12*n**2. Let h = 19 + -13. Is w(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -928, -930, -934, -940, -948, -958, -970?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187618, -751419, -1691406, -3007579, -4699938, -6768483, -9213214?\nAnswer: -12034131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 7 + 22 + 38)*(-4 + 0 + 3)*(2*c**2 + 6*c**2 + 14*c**2).\nAnswer: -1870*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, g: 2, m: 1, o: 4, t: 2, c: 1}. What is prob of picking 2 o and 2 g?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 449574463 to the power of 1\/3, to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48268 smaller than 48268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-3500))\/(51\/(-255)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553820547?\nAnswer: 3, 7, 26372407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*v**3 - v - 2*v**4 - 2*v**2 + 70*v**3 + 3*v - 17*v**3 - 23*v**3 in the form g*v**2 + o*v + u + n*v**3 + f*v**4 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + x**2 + 2*x**2 + 45*x**2 - 1113*x**2 - 200*x**2 + (0*x + 0*x - 2*x)*(-4*x - 7*x + 5*x).\nAnswer: -1255*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**2 + 41*c + 1. Is 11 a factor of l(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.51 - -1.49. Which is the closest to 2\/5? (a) -15 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*s = 3*n - 9, -s = -2*n + 18. Let r be 10\/(-14) - 2\/n. Is -0.1 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 7*q**2 - 10*q - 12. Let i be o(9). Let f = -33 - -48. What is the greatest common factor of i and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1723 + -1184. What is the tens digit of 1796\/30 - (t\/(-105) + 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500535 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/11 - 78*d**2\/11 + 630*d\/11 + 2646\/11.\nAnswer: 2*(d - 21)**2*(d + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 5, 1.72 in decreasing order.\nAnswer: 5, 1.72, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -9. Let t be -90 + (4\/4 - a). Let c = t - -139. Is c a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 v when three letters picked without replacement from pwvwrirh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5926, -5925, -5924, -5923?\nAnswer: -5922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 7*g**3 - g. Let k be 1*(-3)\/(-6)*-2. Let o be x(k). Let n be 75\/(-27) - o\/2. Is n at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54130643, -108261287, -162391929, -216522569, -270653207, -324783843?\nAnswer: -378914477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17551.\nAnswer: 17551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 2*q. Let g be y(-2). Let s be 10\/g*(-6)\/20. Let m = -6 - -7. Which is the closest to 1? (a) s (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 15220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 2:21 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 1 + 108 + -136?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxxcxxzczcccccczzzcc. What is prob of picking 4 z?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + n - 4081 = 0, 32*n - 28*n = -x + 1009. Solve 0 = 6*l - 1075 + x for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10158b (base 14) to base 5.\nAnswer: 114313141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000045929 rounded to 7 decimal places?\nAnswer: 0.0000459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 2*j**2 + 2*j + 43. Let l be m(0). Find the first derivative of 22 + l*f + 27 - 2 wrt f.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 51. Solve 4*a - 3*n = -z - 10, 17 = -5*a + 4*n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -324131, 21 in ascending order.\nAnswer: -324131, -3, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.165 + 101.165. Let q = z - 101.5. Which is the fourth smallest value? (a) -0.09 (b) q (c) -1 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + 1516)\/(-14*(-6)\/1176).\nAnswer: 2, 7, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + 6*t**2 - 3*t**2 - 2*t + 3 - 3*t**3. Let m be g(2). Is (-1)\/m + 1146\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -138*h + 1516. Let p be k(11). What is the fourth biggest value in -17, -0.1, p, -0.2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 53\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*r + 21. Let o be 915\/r - (-4)\/7. Let l = 2 - o. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13013, 26044, 39093, 52160, 65245?\nAnswer: 78348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 44*o = 43*o + 174, m - 48 = -2*o. Calculate the least common multiple of 1355 and m.\nAnswer: 16260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -76*m**3\/3 - 66466*m**2\/9 - 11162*m - 34220\/9 = 0.\nAnswer: -290, -1, -59\/114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfl when three letters picked without replacement from tttypptflplltfffpp?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/1)\/((-90)\/(-27))*(-15)\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5221*v**2 + 3517*v**2 - 2846*v**2 in the form s*v + r + u*v**2 and give u.\nAnswer: -4550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 - 14 - 2*s**2 + 7*s**2 + 0*s**2 as c*s + x*s**2 + m and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*8\/(-2)*322\/(-56).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -302*w - 20*w - 788*w + 113220 for w.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1168c (base 16) to base 4\nAnswer: 101122030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 178542392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 b, and 1 h when three letters picked without replacement from qqbrhup?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 26 = -2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c + 3. Let g(x) = -22*x - 9. Suppose 115*p - 510 = -50. Determine p*g(t) + 14*r(t).\nAnswer: 10*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**3\/2 - 7*y**2\/2 - 61*y. Is j(-15) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4205009587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-294525)\/2261)\/(-165))\/(3*1)?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3 - w**2 + 6*w + 3 - 4. Let u = -2 - -8. What is k(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/sqrt(2) + sqrt(5) + -3 + -2)*-5*-2)**2.\nAnswer: -2000*sqrt(5) + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w + 60*w + 2*w**4 - 1025 - 55*w as d + h*w**2 + v*w**3 + i*w + z*w**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -288 + 291. Solve -y + n = 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 4:11 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4014*f*r**2*y + 7079*f*r + 3*r**2 + 3*r*y with respect to y.\nAnswer: -4014*f*r**2 + 3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 1. Let q(b) = b**2 + 19*b + 72. Let j be q(-6). Let y(u) = -8*u + 6. Determine j*w(v) + y(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1152*n = 2640 - 165 + 5091 + 498 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1250997)\/198)\/(10\/(-60))?\nAnswer: 167, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251723347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -692, -693, -694, -695, -696, -697?\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1797.541ns?\nAnswer: 0.000001797541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 162.\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -692, -3056\/7?\nAnswer: -3056\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + 0.3. Let b = 0.2 + x. Let z be (-4)\/10*25\/15. Which is bigger: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 8. Let g be m(6). Suppose -4*i + 7 + 13 = 0. Let w = -10 + i. Sort w, g, -1 in decreasing order.\nAnswer: g, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**4 - 20048825*g**3 + 180439695*g**2 - 541319355*g + 541319490 = 0. Calculate g.\nAnswer: -4009774, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 0 + 17*o**3.\nAnswer: 17*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 3*x - 192. Let g be (-568)\/x + 2\/12. Suppose -5*s + g = -2*s. Solve 3*y = s*b + 5 + 6, 5*y = -b + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*q + 116 - 26*q - 345*q**2 + 347*q**2.\nAnswer: 2*q**2 + 224*q + 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98.07 + 0.93. Let b = 98.8 - a. Sort -1\/4, -2, b, -1 in decreasing order.\nAnswer: b, -1\/4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*d**2 + 56*d**2 - 25*d**2 - 717893 - 14*d**2 - 577151 - 2276*d = 0. What is d?\nAnswer: -1138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -14*r - 874. Let h be i(-65). Let n = -31 - -49. What is the highest common factor of n and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(513)*2)\/sqrt(9))\/(sqrt(363)*1 - sqrt(3)) + (sqrt(304) + 2 - (-1*sqrt(76) - sqrt(19))) + 4 + 2.\nAnswer: 8 + 36*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10017 and 763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 + 47*g - 103. Let q be ((-2 - -2)\/(-3))\/2. Suppose q = n - 20 - 13. What is the lowest common multiple of j(-26) and n?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -33585?\nAnswer: -33581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**2\/11 + 490584*o\/11 + 30084082632\/11 = 0.\nAnswer: -122646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 6*z**2 + 6*z + 8. Suppose i - 4*q = -5, 4*i + 4*q = 44 - 4. Let u be a(i). Is u - 3 - (-5 - 408) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + -3.06. Let p = 5 + v. Which is the nearest to 0? (a) p (b) 2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60 - 60 - 5*b - 2*b + 0 + 0 + (3 - 2 + 0)*(-3*b - b + 5*b).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 295.1 + -294.3. Sort 0.4, 5, a, -0.11, -0.2.\nAnswer: -0.2, -0.11, 0.4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 2, 3, 1 in descending order.\nAnswer: 30, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from venveneev. Give prob of picking 2 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37\/5 of a centimeter?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*r**2 - 10\/9*r**5 + 8\/3*r**4 + 0 - 2*r**3 + 0*r.\nAnswer: -2*r**2*(r - 1)**2*(5*r - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iduu when four letters picked without replacement from {d: 1, g: 7, i: 2, u: 7}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -34. Let r be 4\/1 + 58651090\/(4 - a). Suppose 27229778 = 4*f - r. Round f to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 45*b + 29 = 48*b, 5*b = -5*k + 35. Solve 5*w - 25 = 3*s, 2*s = -4*w + k + 12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -712, 0.03, -2?\nAnswer: -712","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -6. Suppose 0 = -5*n + z*y + y + 10, y + 7 = 2*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 + 102. Let j = -29.8 + p. Let o be (-1)\/20*5\/2. Which is the third smallest value? (a) 2 (b) j (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17024 and 1120.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, l: 4, t: 2, e: 4, i: 1}. What is prob of sequence eitl?\nAnswer: 1\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 34 = -p, -3*x - 151 = 29*p - 33*p. What is the smallest common multiple of p and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -428555 - 5?\nAnswer: -42855a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -130, -132, -132, -130, -126?\n\"Answer: g**2 - 5*g - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 655.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -439 + 436.641. What is z rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 3*r + 4. Let z be w(-5). Let p(a) = -3 + 0*a - 9*a - a**3 - 7*a**2 - 5 + 2. Let c be p(z). Calculate the highest common factor of c and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 * -8155.\nAnswer: 497455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 6 - 4 = 0, 10*p + 14 = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.073 + 0.027. Let i = 0.06 + 0.34. What is the biggest value in -1.1, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1474 + 1475 - 183*i - 2947 to g*i + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-74)\/48 + 5\/(-40). Let o(r) = -3*r + 76. Let n be o(24). Suppose 8*i + 20 = n*i + 4*z, 5*i = -5*z + 15. Sort i, a, 1\/2.\nAnswer: a, i, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05739 and -11.3423?\nAnswer: 11.28491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 1 = 29590*j - 29593*j - 3, -5*j + 4*j = 24*f - 50 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**3 - 3*b**2 - 2*b + 2. Let l(k) be the first derivative of k**4\/4 - k**3\/3 - k**2\/2 - k + 8846. Calculate -c(f) + 3*l(f).\nAnswer: -f**3 - f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 23*z - 8. Calculate the least common multiple of y(-25) and 5.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174119, -4, 1, -16.\nAnswer: -16, -4, 1, 174119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53250933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/68160 and -67\/72.\nAnswer: 204480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -31*m**3 - 5*m**2 - 107. Suppose -9 = -26*l + 43. Let v(h) = 2*h**3 + h**2 + 2. Let b(g) = l*v(g) + c(g). Differentiate b(t) wrt t.\nAnswer: -81*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 30 = -4*a, 2285*a - 2288*a + 16 = -4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 742 - 742. Let w be (9 - (8 + 4)) + (f - -159). Calculate the greatest common divisor of 416 and w.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719987549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 12. Let l(g) = 3*g. Let b be l(1). Suppose p*a + 650 = 3*o, -b*o - 2*a + 1073 = 2*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2336*l**2 - 984*l**2 - 1170*l**2.\nAnswer: 182*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -11305\/33209?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v + 3. Let d(o) = 33*o - 316. Determine d(g) + 6*n(g).\nAnswer: -3*g - 298","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/2624 and 199\/4867200?\nAnswer: 199555200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5858302?\nAnswer: 2, 17, 53, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15, -287, -1025, -2463, -4835?\n\"Answer: -39*j**3 + j**2 - 2*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 12:24 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 986892703 to the nearest integer?\nAnswer: 31415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 3 - 2*i - 3*i)*(3 - 5 + 0 + 4 - 3 - 4 + 3 + 4 - 5 + 2 + 2 - 3 + (1 + 2 - 1)*(-4 + 4 - 2)).\nAnswer: 12*i + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 9:46 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 292 or 241?\nAnswer: 292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 - (20 - 59) - 31?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (0 + 1\/(-2)). Let s = -173 + 136.4. Let t = -37 - s. Which is the closest to o? (a) 4 (b) -0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k. Let b(l) = -18*l. Let i(y) = -3*b(y) + 14*s(y). Let z(f) = 271*f**2. Calculate z(i(c)).\nAnswer: 1084*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15227473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucmt when four letters picked without replacement from uutnumtcnucuuc?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1457*d + 1466*d - 197649. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o - 3*o + o)*(-44*o - 67*o - 26*o) to z + s*o + k*o**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 327 + 302 = x, 4*x + 15 = 3*k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*y + 1 - 185*y**2 - 191*y**2 + 396*y**2 to u*y + d*y**2 + m and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 6*q**2 - 7*q + 4. Give x(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (63\/(-14) + 1\/2)*46. Let m = f + 401. Does 65 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/390)\/((3\/15)\/1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*1\/((-4)\/(-12)*3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 11*s - 37. Let f be g(4). Suppose 34 = -f*r + 139. What is the lowest common multiple of r and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 divided by 141295?\nAnswer: -93\/141295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.23258454 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (94\/((-1410)\/30))\/((8\/(-68))\/1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 148.9 + -134. Let a = -15 + q. Let d = -3 - -3. What is the closest to a in 1, d, 2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 13 = -4*w - 3, -w = -5*v - 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*d + 14 = 60*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35270005*h**5 - 37688342*h**2 + h.\nAnswer: 2116200300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/(k**(-10)*k))))\/(k*k*k**(-7\/2)*k) assuming k is positive.\nAnswer: k**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -8*a + 246. Suppose 3*g - 32 = -c, -3*g - 240 = -4*c - a. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -18 - (-4 + -21 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -21, -2, 2.1, 2\/3, -0.5.\nAnswer: -21, -12, -2, -0.5, 2\/3, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 32 = -5*x, 2 - 10 = -4*h + 2*x. Let t(s) = s + 1. Let n = -11 + 12. Let u be t(n). Solve l - 3*l = -u*o - 14, 4 = 4*o + h*l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162194715 divided by -45.\nAnswer: -3604327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2.4. Let x = -0.7 - t. Let k = -16781.1 - -16781. What is the closest to k in -4\/7, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -251\/8, 4\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 173, -3, -34 in ascending order.\nAnswer: -34, -3, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 2*v + 5*c - 23, -60 = -2*v - 2*c. What is the smallest common multiple of 9 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 29013, 1, 8, -1\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4704 + -107.2\nAnswer: 4596.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1367951 - 1367951 - 881*x**3)*(-1 + 2 + 1) to o*x + q + z*x**3 + s*x**2 and give z.\nAnswer: -1762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8+-131782162810\nAnswer: -131782162818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 7:38 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 10 - 2 - 8 - 4. Let a = 34 - -4. Let o = a + -36. Let v(h) = -h**2 + h - 1. What is o*v(f) - t(f)?\nAnswer: -2*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6138 by -6905.\nAnswer: -6138\/6905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = g, 964 = -5*q - 0*g - g. Let x = q + 189. Which is the biggest value? (a) 0.4 (b) -3 (c) -0.03 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -22*l + 1. Let p(u) = 5*u**2. Calculate p(f(r)).\nAnswer: 2420*r**2 - 220*r + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 8*z + 2*j + 2 = 0, 4*z + 2*j + 4 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-3) + 2)\/1. Suppose 2*n + 14 = -5*b + b, g = 5*n + 2*b + 3. Let t be 0 - (n - (8 + 1)). Solve 3*k - t = 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3 + 43 = 0. Let h be (64\/(-12))\/(0 - 1\/(-3)). Let d = g - h. What is the remainder when 29 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 + (-682)\/(-22) - -37?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7*w + 8. Let r be j(-3). Suppose r*p - 22*p = -14. Sort -3, p, 3, 7 in decreasing order.\nAnswer: 7, 3, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.699 - 365.699. Let p = l - -370. What is the nearest to 1 in 0.3, -9, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10+-18125915.59\nAnswer: -18125925.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -156\/11, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -356 (b) 1\/8 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**5 - 3*q**5 - q**5 + (4*q**5 - 2*q**5 - 4*q**5)*(2 + 0 - 1) + 0*q**5 + 3*q**5 - 5*q**5 + (4*q**2 - 2*q**2 - 3*q**2)*(4*q**3 + 13*q**3 - 14*q**3).\nAnswer: -8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9678 * -107\nAnswer: 1035546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-12)*15\/(-9)*-1. What is the closest to -0.1 in -0.8, -0.6, h, -2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343735?\nAnswer: 5, 7, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 1*-5*-1. Suppose 0 = 3*m, -y - 3*m = -m - 3. Suppose -5*c - 105 = -t*b, c = -3*b + y*c + 60. What is the smallest common multiple of 14 and b?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, o: 1, u: 5, a: 1}. Give prob of sequence ou.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 94, -0.3 in decreasing order.\nAnswer: 94, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3936\/369)\/(8\/(-12))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(84\/18)*28\/(-6). Let i(m) = 12*m - 15. What is the tens digit of i(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 40594 = 4*k, 0 = -5*k - 44*w + 50*w + 50723. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -6, 5 in descending order.\nAnswer: 5, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*n - 29*n - 82 - 233 = 0. Let t be 27*(-1)\/(0 + -1). Let k be 210\/(-84)*3*2\/(-5). Solve 12 = -k*c - w, -2*w - 2*w = -n*c - t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of o**8\/1176 - o**2 - 5. Let t(z) be the second derivative of w(z). Determine f so that t(f) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((6\/8)\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43576 is divided by 3563?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**5\/5 - 553*q**4\/5 - 20731*q**3\/5 - 198159*q**2\/5 + 1008243*q\/5 - 635796\/5 = 0.\nAnswer: -84, -29, 3\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 12:14 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m**2 + m**3 - 2 - m - 2 + 5*m. Suppose 0 = c + 2 - 3. Suppose -c - 4 = -t. Give q(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 10*z = 39 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a factor of 261706653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 231*o + 121. Let w(g) = -g**2. Give w(m(y)).\nAnswer: -53361*y**2 - 55902*y - 14641","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4910 + 4053. Put j, 5, 2 in decreasing order.\nAnswer: 5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q = -12*q. Which is the nearest to q? (a) -7\/23 (b) -0.1 (c) 1\/5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least -163\/102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24.5 in -10307, 1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -221*u**4\/12 + u**3\/6 + 11*u**2 + 31*u + 6. What is the second derivative of w(g) wrt g?\nAnswer: -442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/20 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -5*w - 5*d, -11*d = w - 8*d + 33. Let t = 10\/647 - 27871\/3235. Which is smaller: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 20*m**2 - 13*m - 1. What is the tens digit of q(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**3 - 37*u**2 + 29*u**2 + 3*u - u**3 to the form v + q*u**2 + y*u + h*u**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 11*g**2 - 8*g + 3. Let z(n) = -n**2 - n. Let x(j) = l(j) + z(j). Let s be x(3). What is the tens digit of (2222\/s)\/(2\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 21*k**2 + 3*k - 4. List the prime factors of g(-2).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -5*w**4\/12 + 115*w**3 - 23805*w**2\/2 - 4*w + 125. Let i(q) be the first derivative of z(q). Factor i(k).\nAnswer: -5*(k - 69)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, u: 4}. Give prob of sequence ttut.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 1)*((0 + 0 + 1)*(-3*o + 0*o + o) - 20*o - 27*o + 7*o)*(o - o - 3*o**2 + (0*o + 2*o - 3*o)*(3*o - 46*o - 28*o)).\nAnswer: 2856*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 13. Let l(f) be the first derivative of -f**3\/3 + 11*f**2\/2 - 7*f + 3. What is the units digit of l(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/10, 0, 4?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -19*q**6\/360 - 11*q**4\/12 + 6*q**3 - 15. Let l(t) be the third derivative of j(t). Differentiate l(x) wrt x.\nAnswer: -38*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -346414 (base 7) to base 14.\nAnswer: -189b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f - 3*u = 42*f + 18, 0 = 3*u + 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12021 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, h: 1, t: 1, e: 3, u: 4}. What is prob of sequence thug?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (1 - (-28 - -8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(99))\/(sqrt(144)*6).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 1:05 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.07 (c) 7127 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-1)*v)*v**5)\/((v**(-1\/2)\/v*v)\/(v\/(v*v**(-2)*v*v)))*((v**(-2)*v)\/v**(-5))**12 assuming v is positive.\nAnswer: v**(107\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 3*c + 3*c - 332 = 0, -6*y = -7*y - 4*y + 5*c - 270 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -58*s - 5 + 446 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -7*y**4\/2 + y**3\/3 - 191*y**2\/2 - 172*y. What is the derivative of m(l) wrt l?\nAnswer: -84*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k - 7*k - 16*k**2 + 20*k**2 in the form f + q*k + y*k**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*p - 78 + 70 + 45*p - 7 in the form t*p + w and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, f: 4, b: 10, u: 1}. Give prob of sequence fbb.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 4 + 0 - 0. Let v(g) = 0*g + 8*g + d*g. Let s(p) = 2*p**2 - 649 + 328 + 321. Give v(s(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925\/28 - 2\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s = 180 + 84. Let r(z) = z**3 - 7*z**2 - 9*z - 10. Give r(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16045, 34817, 53589, 72361, 91133?\n\"Answer: 18772*i - 2727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4 = -8. Solve p*r + 5*i = 2*r - 1, -5*r - 17 = -2*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 7, z: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 4. Let t be h(-11). Let v be (6\/(-2))\/(1\/(-10)). Let q = v + t. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 654, 5512, 18762, 44604, 87238, 150864?\nAnswer: 239682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 4, v: 2, i: 2}. What is prob of picking 2 i?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2. Let g(f) = -16930655*f**2. Calculate t(g(s)).\nAnswer: 286647078729025*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 2219 + 2333. List the prime factors of r.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(6)\/(sqrt(3) - (1*sqrt(3) + sqrt(3))))**2.\nAnswer: 8*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010001000010 + 10?\nAnswer: -1011010001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1449 or -1?\nAnswer: 1\/1449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -118*s**3 + s**2 - 782*s?\nAnswer: -708*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + 25*t - 10. Let f be z(12). Let o be (1 - f)\/(15 - 16). What is the common denominator of 161\/56 + (-1 - o) and 27\/77?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 2:05 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -29*d + 236. Let j(x) = -35*x + 235. Calculate -5*j(a) + 6*q(a).\nAnswer: a + 241","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(2\/3)*t))**(-17\/2)*(t**(-3)*t)\/t**(-3)*t**(-1)\/(t*(t*t**0)\/t)*t*t**(-1\/8)*t*t**(-1\/3)*t assuming t is positive.\nAnswer: t**(173\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -189 + 190. Is h less than or equal to 1\/56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3440590194?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 17510400.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 16. Let l = 0.076 + 3.264. Let w = l + -0.34. Which is the smallest value? (a) w (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1061*j + 2062 + 3038 = 856 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000 + -1020?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (24 - 14)) + (1 + 1 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnwnnnnnnnnwnwnwnnn. Give prob of sequence wn.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*c**3 + 1644 + 146*c**3 - 1644 + 208*c**3.\nAnswer: 610*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134179 + 5*k + 134179.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 8*d + 24. Let a = 29 - 39. Let z be q(a). Solve -z = 2*k - 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 893272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1. Let l(j) = 12*j - 3. Determine -l(n) - 5*w(n).\nAnswer: -12*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2852, 19153, 62346, 145877, 283192, 487737, 772958, 1152301?\n\"Answer: 2241*u**3 + 614*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3335788 is divided by 1082?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-5\/3)*p))\/p**(-1\/8)*(p\/(p\/(((p**(3\/23)\/p)\/p*p*p*p)\/p)))\/(p\/(p\/(p*p\/((p*p**(-4\/17)*p*p)\/p))*p*p)) assuming p is positive.\nAnswer: p**(25213\/9384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {z: 2, n: 3, s: 3, p: 1, t: 2, i: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -4 + -1 + 7 + -8 + 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k**(-1\/8)*k))\/k)\/(k\/k**(3\/2)))**38)**22 assuming k is positive.\nAnswer: k**(-627\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 197\/2758 + (-498621)\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*q, 9*q - 4*q - 5*y - 15 = 0. Which is greater: 3 or q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -2 (c) 127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*x**5 + 1752364*x**3 + 1225607*x**2 - 17.\nAnswer: -420*x**2 + 10514184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = -5*l - i - 128, 13 = 3*i + 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11\/58 + 20\/29. Let y(s) be the second derivative of 0*s**2 - c*s**3 - 2\/5*s**5 + 0 + 0*s**4 - 2*s. Find the second derivative of y(u) wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -308*d - 2. Let o(l) = -6*l**2. Calculate n(o(q)).\nAnswer: 1848*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwppqpww. What is prob of sequence qwp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {d: 6, p: 1, a: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.9081905 to 3 decimal places.\nAnswer: -3.908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - ((-60702)\/(-5))\/(10\/(-900)). Suppose -304*p + 291*p = -z. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 49*s**5\/6 - 511*s**4\/6 + 363*s**3\/2 + 741*s**2\/2 - 783*s - 972 = 0.\nAnswer: -9\/7, 3, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h + 5 - 71. Let p be 3 - 34\/h - -3 - -1. Put p, 0.3, 19 in ascending order.\nAnswer: 0.3, p, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*l - 10788 = -78*l. Let r = -684 - l. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02 + 0.18. Let j = 0.1 + -3.1. What is the closest to -2\/9 in j, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**4 - 4*j**3 - 1 + 3*j**3 + j**4 - j**2 + 2*j**4 to the form z*j**2 + d*j**3 + k*j**4 + m + a*j and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1334477 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 7:40 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2679 (b) 6 (c) 3\/8 (d) 0.05 (e) -5 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -137, -286, -447, -626, -829, -1062, -1331, -1642?\n\"Answer: -k**3 - 142*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -130.7 and 4636?\nAnswer: -605925.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(10)*1*-2.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2144 take away -15.8?\nAnswer: -2128.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 217*b. Let v(u) be the second derivative of -u**3\/6 - 4*u + 46. What is v(w(n))?\nAnswer: -217*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 16*g**3 + 55*g**2 + 302*g + 5230. Let l(n) = 3*n**3 + 10*n**2 + 60*n + 1046. Let m(d) = -11*l(d) + 2*w(d). Differentiate m(q) wrt q.\nAnswer: -3*q**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 304*r*t + 3*r*w - 1895*r - 10*t**4*w + t*w + 2 wrt t?\nAnswer: 304*r - 40*t**3*w + w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -17*r - 6. Let a(k) = 16*k + 5. Calculate -6*a(y) - 5*u(y).\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**4 - 36*z**3\/5 - 93*z**2\/5 - 18*z\/5 + 24\/5 = 0?\nAnswer: -1, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/14)\/3 + (-1888)\/(-826). Let a = -4 + 7. Let w(n) = n + a*n + i + 8. Give w(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/257 < -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/1*12\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 8*u + 1 = -5*v + 12*u, 19*u = 6*v - 92 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 23*i**3 + 5*i**2 + 5*i - 5. Let z(m) = -57*m**3 - 12*m**2 - 12*m + 12. Let q be 12 + 12\/30 + (-8)\/20. Give q*n(v) + 5*z(v).\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 27 - (5 - 1 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + sqrt(1300) + 0 + 5 + -4)**2 + 4.\nAnswer: -140*sqrt(13) + 1353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14520 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 176332 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 0*h + 5\/336*h**8 - 5\/2*h**4 + 38*h**2 + 0 - 1\/24*h**6 - 11\/12*h**5 + 1\/14*h**7 - 10\/3*h**3. Factor q(u).\nAnswer: 5*(u - 2)*(u + 1)**3*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*q - 25 = 0. Let r = -4 + 7. Suppose -r*p = -3, p = -4*j + 4*p - 7. Put q, j, 3 in descending order.\nAnswer: q, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 6:09 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -8. Let j = a + 4. Sort j, -3, -4 in decreasing order.\nAnswer: j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 8*m + 22. Suppose -7 = u + 4*d - d, 0 = -2*u - 3*d - 11. Let a be l(u). Solve 2*x - 4 = a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 9:53 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4627, -21, 4, -5, 3 in descending order.\nAnswer: 4627, 7, 4, 3, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2278, -4446, -6604, -8746, -10866, -12958?\n\"Answer: l**3 - l**2 - 2172*l - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 6*f - 3*a + 38 = 0, -5 + 1 = -2*a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 6*p**4 - 2*p - p**3 + 11365*p**2 - 11363*p**2 - 16*p**4 in the form b + v*p**4 + g*p**2 + f*p**3 + i*p and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87483822 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10381953+-17.5023\nAnswer: 10381935.4977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 79, 100, 183, 358, 655, 1104, 1735?\n\"Answer: 5*k**3 + k**2 - 17*k + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*l**3 - 526038*l**2 - 45412609.\nAnswer: -87*l**2 - 1052076*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*n - 290*n = -78 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 4.09113958?\nAnswer: 3.99113958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, 4, 11 in decreasing order.\nAnswer: 11, 4, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(5)*2 + sqrt(5) + sqrt(5) - sqrt(5)) + 5.\nAnswer: 3*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlcd when four letters picked without replacement from {d: 2, c: 4, i: 2, l: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119187.\nAnswer: 3, 17, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 5*g**2 + 9*g + 3. Calculate s(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 4:06 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933882?\nAnswer: 2, 3, 317, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -101590187 to the nearest 1000000.\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 38 = k, 0 = -5*d + 2*d - 4*k + 62. Suppose -37 = -3*q + 2*q + a, 0 = -3*q - a + 95. Calculate the remainder when q is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-2)*24\/(-40).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u - 11. Let k(c) = c**3 - 5*c**2 + 10*c - 17. Let t be k(5). Let n = t + -28. Let j(m) = -2*m - 7. Calculate n*v(w) - 8*j(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2 = u - 2, -5*z + 67 = 3*u. Suppose 2 = -2*b + u. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252 by 84.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*((-12)\/8 - 0). Let y(g) = -9*g**3 - 3*g**3 + 5*g**3 + 6 - 3*g**l. Let s(k) = k**3. Let w(t) = 3*s(t) + y(t). What is the derivative of w(b) wrt b?\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 123 - 0?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -300037 (c) -1\/8 (d) -1\/87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1355308, -1, 3 in increasing order.\nAnswer: -1, 2\/5, 3, 1355308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19037 + -11236. List the prime factors of q.\nAnswer: 29, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5*g - 17 = 0, 19 = w + 12*g - 6*g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.8 + 3.8. Let z = 3711.399 + -3696.4. Let d = n + z. Round d to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6871908 and 1884?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 + x**2 - x. Let i be f(1). Find the third derivative of -2*j**6 - 3*j**6 - 3*j**i + 7*j**6 wrt j.\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 94754*b**4*z**2 + 202*b*z**2 - 15*z**2 - 13613*z wrt b.\nAnswer: 379016*b**3*z**2 + 202*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-315)\/135*2\/(-28). Let f = 906 + -904. Factor -g*c**4 - 1\/2*c + 0 - 5\/6*c**3 - 7\/6*c**f.\nAnswer: -c*(c + 1)**2*(c + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 90606, 93372, 96136, 98898?\n\"Answer: -l**2 + 2769*l + 87838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40735, 325027, 1096665, 2599321, 5076667, 8772375, 13930117, 20793565?\n\"Answer: 40612*f**3 + f**2 + 5*f + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 257986661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 909 and 13635?\nAnswer: 13635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 - 4.91. Let t = -1.8 + 1.9. Let v = -0.8 - -0.3. Sort d, t, v in ascending order.\nAnswer: d, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*70090.5\nAnswer: 210271.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.49415 rounded to 1 dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9476\/1030 + (-9 - -1).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 145 + 145.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by 97?\nAnswer: -35\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 - 14 - 19 + 34 + (-b**3 + 2*b**3 + 0*b**3)*(-1 + 4 - 1) in the form v*b + a*b**2 + t + d*b**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chhhs. What is prob of picking 3 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - 33. Let g(t) = t**3 + 5*t**2 - 4*t - 4. Let b be g(-6). Let p = b - l. What is the highest common factor of 10 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -38976628.99 to the nearest one hundred thousand.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(190) + 1*2*sqrt(190))\/(sqrt(480)\/sqrt(3)))**2.\nAnswer: -855\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u + 3. Let o be c(-8). Suppose 8 + 4 = -4*k. Let f = o - k. Is 19 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2224356885?\nAnswer: 3, 5, 19, 647, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + -4 + (sqrt(275))**2 + 3*(sqrt(110)\/(sqrt(20)\/sqrt(2)) + sqrt(44) + sqrt(132)\/sqrt(3)) + 1 + 4.\nAnswer: 15*sqrt(11) + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 6*l - 4*l + (-1 + 4 - 2)*(3*l - 3*l + l) + 1 - 1 + 2*l)*(-l - 4*l + 4*l)*(571 - 571 + 68*l).\nAnswer: -340*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Suppose 3*y + 3 = 0, 2*y - y = s*k - 67. What is the remainder when k is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*r**2 + 0 - 1052\/3*r = 0.\nAnswer: -526, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*r + b, -5*r - 5*b = -r + 4. Solve 3*n = r*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144743792 = -3*x + 44097154. Suppose 4*t - x = -7746982. Round t to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22597750 and 1295.\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06174 + -5?\nAnswer: -5.06174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 6*k - 34. Let f be x(10). Suppose q - 2*r - 126 = 0, 2*q - 4*r = f*q - 528. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3490649 is divided by 18180?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 435408 and 6?\nAnswer: 435408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -19. Suppose p - q = 9. Let b = p - 18. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4202\/97 - -1485215\/34144. What is the common denominator of t and 13\/64?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 27020*j - 243097. Let d be p(9). Determine q so that 22\/13*q**d + 0 - 10\/13*q - 4\/13*q**3 = 0.\nAnswer: 0, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -10*o + 8. Let h(q) = -6*q + 5. Let y(j) = -8*h(j) + 5*k(j). Let b(f) = -8*f - 14*f + f + 2*f. Calculate b(y(n)).\nAnswer: 38*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - ((-5 - -3) + -1). Solve 0 = -4*d + p*n - 2, -n + 10 = d + 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*x - 2*j, -5*x - 19 = -0*x + j. Let a = 45 + -45.5. Let v be (-8)\/(-6) - 1\/3. Put v, x, a in descending order.\nAnswer: v, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 8*m**2 + 9*m + 5. Let o be q(-9). Suppose 0 = -4*u + o - 1. Suppose 3*t = t - 6. Put u, -4, t in decreasing order.\nAnswer: u, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -419 + 420. Sort -1, 0.4, j.\nAnswer: -1, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kdkkuaaikkidqiudukk. Give prob of sequence aaq.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3556s to nanoseconds.\nAnswer: 355600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2406 and 5.\nAnswer: 12030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (sqrt(500) + 0)**2) + 1 - ((-2*sqrt(500))**2 + -2) - (sqrt(360)\/(sqrt(32)\/sqrt(4)) + 3).\nAnswer: -2500 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 684123863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4213\/76 or 56?\nAnswer: 4213\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 880*s - 4430. Determine h(-5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -3*w**2 + 3. Let v be h(2). Let d be 63\/v + (-2)\/(-8). Which is the third biggest value? (a) 1\/2 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 = -28*i + 35265 + 24259. Calculate the remainder when i is divided by 27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42544 = 4*h + 2*j, -5*j = -152*h + 149*h + 31960. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9728 - 4651. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.5395829 less than -0.161?\nAnswer: -42.7005829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 51, 73, 93, 111?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 93 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.515 to the nearest integer.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 - 5212*f\/3 - 1737.\nAnswer: -(f + 1)*(f + 5211)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1406 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 722606 to the power of 1\/2, to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 680*o - 674*o - 14664 = 0. What is the greatest common divisor of o and 940?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 8)*(-2)\/(-4). Let t = 0 - l. Let a be (7 - 8)\/(2\/(-4)). Solve -2*y - 6 = u - t*u, 0 = a*u + 4*y + 24 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or 226\/51?\nAnswer: 226\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 322538\/5 or 64509?\nAnswer: 64509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -1 - 1)*2. Let u be (h + 0)\/(-2) + 2. Solve u = -3*g - 5, 3*x - 12 = 5*g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 5\/10)\/(-5)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -22021220 (base 4) to base 10\nAnswer: -41576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1+12716638.3\nAnswer: 12716637.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*((-2)\/161)\/(216\/252).\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 - 19*z + 46*z - 27*z.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-6) - 1)*2. Suppose -9*m = -7*m - 6. Suppose m*f = 3*g + 3, 0 = f - 3*f - 5*g - 5. Which is the closest to f? (a) k (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -523, -1039, -1547, -2041, -2515, -2963, -3379?\nAnswer: -3757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - (-6*(sqrt(95) + sqrt(95)*-1) + sqrt(95)))\/(3*sqrt(45)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -11. Let q = 61\/4 - 31\/2. Which is the closest to -0.1? (a) 2 (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 297.\nAnswer: -891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 170 = 5*h, -2*h = 2*h - b - 133. Suppose 0 = -d - 2*d + h. Suppose j = d + 8. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 6134 + 6136 = -x, 3*x + 8 = 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35141*c**4 - 2*c**2 - 6930*c?\nAnswer: 843384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 82, 88, 96?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 10:08 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 919 = 4*o + o, -f - 2*o + 459 = 0. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 5, 2\/11, -387, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -692*h. Let g(o) = -5*o**2. Determine x(g(s)).\nAnswer: 3460*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3125449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*(0 + sqrt(275) - sqrt(275))*2*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**2 + 160895*p + 89006560 = 0. What is p?\nAnswer: -544, 32723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/23 and (-384)\/5152*(-42)\/(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*v + 1352, -b - 65 + 423 = 3*v. Which is smaller: b or 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 329556648 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*v**2 - 228*v**2 - 233*v**2 - 8*v**2.\nAnswer: -608*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -186 - -198. Solve 4 = -14*g + u*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f + 43. Determine a(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*l + 8 = 0, 0 = -2*k - 2*k - 5*l + 16. Suppose 98 = 3*c + 2*c + k*z, 0 = 5*c + z - 107. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1017690 and 5040?\nAnswer: 170971920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 797.9 + -798. Is d less than -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onljlnolkllnl. Give prob of picking 1 n and 1 o.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/m**(-4)*m)\/(m*m**1\/m))\/(m**0)**(1\/6))\/((m**0*m)**11\/(m\/(m\/(m**(-1\/7)\/m))*m**0)) assuming m is positive.\nAnswer: m**(-43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -7*i + 20. Suppose 0 = -3*d + 2*x + 218, 3*x + 389 = i*d + 99. What is the highest common factor of d and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -747, -2376, -5115, -8964, -13923, -19992?\nAnswer: -27171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5679.\nAnswer: 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396165967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) -1\/6 (b) -0.25 (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16933 + 26940. What is y rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 268655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**2 + 11*k + 4. Let m(v) = -8*v**2 - 17*v - 2. Let n(c) = -17*c**2 - 36*c - 4. Let s(p) = 13*m(p) - 6*n(p). Determine 5*s(d) + 2*w(d).\nAnswer: -2*d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + sqrt(99)*-1)\/sqrt(9) - (sqrt(11) + 4 + 0))*3.\nAnswer: -12 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3513 is divided by 1160.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 79, 180, 321?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*(-18)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15772, 31413, 47054, 62695, 78336, 93977?\nAnswer: 109618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 10*y**2 + 14*y - 1. Let r be j(11). Let w = -290\/9 + r. Sort -4, w, 1 in decreasing order.\nAnswer: 1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 387 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(22)*1*6)\/(-1*sqrt(1100)*4 + sqrt(1100) + sqrt(1100) - sqrt(1100)) + 3.\nAnswer: 2*sqrt(2)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93515, -4, 3 in descending order.\nAnswer: 3, -4, -93515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*r - 3*r + 23 + 40 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*d + 2012, -400 = -17*d + 16*d - f. Calculate the remainder when 807 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 1.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 - (12 - (2 + -11 - -20)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6675 or -3477682\/521?\nAnswer: -6675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90733299 to the nearest integer?\nAnswer: 9525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43.1 + -100.9. Let g = -141 - w. Let z = 66.71 + -67. Put g, 4, z in descending order.\nAnswer: 4, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/50? (a) 0.06 (b) -49\/27 (c) 2 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 7*p**2 + 18*p - 118. Determine w(5).\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -54452\nAnswer: 217808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**6\/120 - j**5\/10 + j**3\/3 + 3*j**2. Let o be q(-6). Let m(v) = -5*v**2 - 2*v - 2 + 5*v**o + 3*v**2. Give m(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97121?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 8:40 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 10*o**2 + 3*o - 3. Let k(c) = -29*c**2 - 9*c + 8. Let b(p) = -17*j(p) - 6*k(p). What is the units digit of b(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -38*v - 1. Let o(i) = -13*i. Calculate -7*o(m) + 2*y(m).\nAnswer: 15*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 3 (c) -5 (d) -133 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1012\/3*6\/(-4). Let a = h + 289. Let m = -133 - a. Calculate the greatest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -15, 5*p - q = -12 + 17 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38598 in -2, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - w**2 - 3*w + 1257. Let h be z(0). Let f = -578 + h. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 2*g**2 + 0*g**4 + 0 + 1\/30*g**5 + 0*g + 0*g**7 + 0*g**3 + 0*g**6 - 1\/168*g**8. Find the third derivative of r(f) wrt f.\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 4*r - 1 - r)*(-1 - 3 + 3 + 4 - 2 + 0 + (1 + 3 - 5)*(1 - 5 + 6) - 1 + 1 + 1 + 0 - 8 + 3).\nAnswer: -5*r + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 96897078553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5\/6 - 17*c**4\/3 - 167*c**3\/6 + 92*c**2 + 114*c = 0 for c.\nAnswer: -6, -1, 0, 3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 631.755 + -631. Let v = n + -0.755. What is the closest to v in 2, 20, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128 - -132. Let q be 0 + o + (-772256 - (-6)\/(-3)). Let a = 597746 - q. What is a rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 1) + (-46)\/(-4). Let s = 11 - o. Let w = 277 - 3049\/11. Which is the second smallest value? (a) 0 (b) w (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29312800 to the power of 1\/2, to the nearest integer?\nAnswer: 5414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + (-3)\/(12\/28).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 844 (b) 1 (c) -62\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/2105 - -9684\/2105. Find the common denominator of k and 26\/115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 16*s**2 - 17*s + 32. Let v be m(15). Is (-14)\/v - -3251 - 5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -38 - 1\/4*x**4 + 2*x**2 - x**3 - 5*x. What is y(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8062 + -8000. What is the remainder when 1038 is divided by f?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**12\/f*f*f*f*f**(-3\/5)*f)**(1\/23)\/((f\/(f*f\/(f**7\/f*f))*f)\/(f*f**(3\/8)))**(6\/17) assuming f is positive.\nAnswer: f**(-10629\/7820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -146 - -1461\/10. Which is the closest to -0.1? (a) -0.1 (b) -3\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -117 (b) -0.13 (c) -0.039 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 118*t + 1851. Let y be k(13). Calculate the highest common factor of y and 1739.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1131556, 4526288, 10184194, 18105274, 28289528, 40736956, 55447558?\n\"Answer: 1131587*m**2 - 29*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/5*(2730\/(-52))\/(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + -1)*5*-2*6)**2.\nAnswer: -57600*sqrt(17) + 3920400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -3*h - 2*p + 16, 5*h + 4*p = 30. Factor 10*u - 2*u**2 - 9*u - u**2 + 2*u**h.\nAnswer: -u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1933 + 1.\nAnswer: -1932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (9\/156)\/(964\/(-96) - (-90 - -80))\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*w + 13 = 0, -2 = 4*y - 4*w - 6. Suppose 0 = y*t + 4 - 20. Suppose 0*i + i = t. Solve -2*n + i = -2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*k**4 + 25*k**4 - 13*k**4 + (3*k - k - k)*(2*k**2 + 2*k**3 - 2*k**2).\nAnswer: 33*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + 2 + (4 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 3 + (-6 - ((-16 - -11) + 2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**3 - 4*a**3 - 518*a + 518*a + a**3 - 5*a**2 - 152. Let y(t) = -2*t**2. Calculate y(o(h)).\nAnswer: -72*h**4 - 240*h**3 - 200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**5*g*g)**(-16))**5\/((g\/(g**(-2)\/g))**(-3\/31)*g**2*g**2) assuming g is positive.\nAnswer: g**(-17472\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205987.\nAnswer: 29, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -12*h**2. Let x(u) be the third derivative of 0*u**4 + 0*u**3 - 1\/60*u**5 + 0*u + 0 - 3*u**2. Give x(r(i)).\nAnswer: -144*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 3 (b) -3\/7 (c) -3 (d) -1094 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2302 - 1202. Is j a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39467446 times 0.3?\nAnswer: 11840233.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 59*r**2 - 3828*r + 590. Give m(98).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 3*x - 3 - 2, 0 = -2*s + 2*x - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 6. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 763 and 10248616.\nAnswer: 10248616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 28*b + 329. Let s be c(12). Find the first derivative of 66*v + 219 + s*v + 111 + 80*v wrt v.\nAnswer: 283","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = -43*v + 65*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide (-2)\/(5\/(-908640)*12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a gram in milligrams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -13\/3. Let d(b) be the first derivative of -b**4 - 1 + 0*b**2 - f*b**3 + 0*b. What is the third derivative of d(q) wrt q?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 526*f**4*x**3 - 338*f**3*x**3 - 20240*f**2*x**2 - 8*f*x**3 wrt f.\nAnswer: 12624*f*x**3 - 2028*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-498)\/(-102) + 26\/221?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -1\/3*g**4 + 0*g**3 + 0*g**2 - 2*g + 0. Let n(c) = -2*c. Determine n(r(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 21. Let c be p\/(0 - -3) - -7. Suppose -n = c*n - 216. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 1, z: 1, p: 1, i: 1}. Give prob of picking 1 i and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39\/10? (a) 2\/11 (b) 0.2 (c) 9 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58417.51nm to meters.\nAnswer: 0.00005841751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 58703, 60371, 62039?\n\"Answer: 1668*j + 57035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epc when three letters picked without replacement from {c: 1, p: 7, i: 2, e: 5, b: 3}.\nAnswer: 35\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 + -8.42. Let m = 83 + -75. Let t = m + q. Do t and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 1, d: 6, a: 1, q: 5, p: 3}. What is prob of sequence qi?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-14) - 400\/(-5376). Let x = 1\/48 + k. Factor 2*v**3 + x*v**4 - 2*v - 4\/3 + 2\/3*v**2.\nAnswer: 2*(v - 1)*(v + 1)**2*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1321*y**3 - y**2 - 296*y + 34628094.\nAnswer: 3963*y**2 - 2*y - 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -5*u + 2*f, 0 = 4*f - 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 25*p**2 - 4288*p - 31142. Calculate t(-7).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (42\/70)\/((-2)\/(-10)). Let v = 0.079 - -0.921. What is the closest to v in m, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 - 200 = -52*q - 7*q. Let -5\/3*m**4 - 32\/3*m**3 - 64\/3*m - 24*m**q - 16\/3 = 0. Calculate m.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4d124 (base 14) to base 5\nAnswer: 22031224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + 24*u + 4. Let q be p(12). Solve -1 = -q*g - 5*o + 16, 5*g + 3*o - 5 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -312, 4, -3, 1283, 5, -5 in decreasing order.\nAnswer: 1283, 5, 4, 2, -3, -5, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*z - 3*z - 5 = 0, -2*y - 4*z = -8. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - 2*u - 1. Let q be j(-1). Let g = -1 + q. Let b be g + -2966666*(-6)\/(-2). Round b to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15181699847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.13603 + 11646807.\nAnswer: 11646809.13603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3501 at least -11\/345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/5 - (511624\/(-20) - 8). Suppose -d = z + o, 4*d + 0*z - 2*z + 102360 = 0. What is d rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 3:08 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2487 smaller than -2488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r - 5. Let w(y) = y - 2. Let f(l) = c(l) - 3*w(l). Let h(q) = 2*q + 3. Let g = 5 + -4. Let v be -3 + 5 - 1\/g. Calculate v*h(n) - 4*f(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11 - -1) + -4 + 2. Let r = q - 7. Determine n so that -1\/2*n**2 - 1\/2*n + 1\/2*n**r + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2, -3, 1\/3, 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - ((-28)\/3 - 6\/(-18)). Let y(d) = -d**2 + 16*d - 52. Let o be y(w). Suppose 16 = -0*f + 4*f. Solve -2*s = 5*i + 9, 0 = o*s + f*i + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 201833908.0828\nAnswer: 201833912.0828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-6) + 1\/(-2). Let a = r - -7. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209260?\nAnswer: 2, 5, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -6316300?\nAnswer: 6316306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-5) - 14\/(-10). Suppose -50 = -4*p - o. Calculate the remainder when 34 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/16600 and -32\/425.\nAnswer: 282200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 14*p**2 + 10*p - 20. Let l be h(-13). Let f = l - 11. Sort -5, f, 3 in descending order.\nAnswer: f, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-744)\/104 - (-4)\/26 - (-1170)\/3. Which is greater: f or 382?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**4 + 159*w**3 - 2331*w**2 + 5925*w - 3750 = 0.\nAnswer: 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 22*i**3 + 17*i**2 - 431*i + 22. Let f(k) = -7*k**3 - 6*k**2 + 143*k - 8. Calculate -4*c(r) - 11*f(r).\nAnswer: -11*r**3 - 2*r**2 + 151*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q + 15. Let o(w) = 31*w + 1. Determine x(o(a)).\nAnswer: -62*a + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a factor of 17305460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9703 + -9701. Sort -2, -1153, f.\nAnswer: -1153, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 17934052\nAnswer: -3\/8967026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from xghggghx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/124 and -41\/18.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 times 0.4?\nAnswer: -57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 387001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 319 + -309. Solve -13*v = -r*v + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2. Let k(u) be the first derivative of 17*u**4\/12 + 2*u**2 + 8. Let f(j) be the second derivative of k(j). Calculate h(f(b)).\nAnswer: -1156*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8786 (b) -2 (c) -10\/829 (d) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.33 in -1\/2, -3, -4\/3, -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20725 + 4027 = 7*u. Factor -3*p**2 + 16*p**3 - u - 14*p - p**2 - 2*p**5 + 3544 - 4*p**4.\nAnswer: -2*(p - 1)**3*(p + 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 12 = 2*p, -p = -2*j + 5*j - 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -x - 0. Let k(b) = 14*b**2 - 17*b - 3. Let f be k(4). Let u be (-187)\/f - 2\/(-9). Sort u, x, 1, 2 in ascending order.\nAnswer: x, u, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 7571*q**5\/20 + 3995*q**3\/3 - 3*q + 377. Find the second derivative of y(o) wrt o.\nAnswer: 45426*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 3*p + 18 - 2*p)*(1 - 2 + 6)*(-p + p - 2*p).\nAnswer: 50*p**2 + 70*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2*d - 81. Suppose -3*g + d + 3 = 0. Suppose 4*a - 5*u + 1 = a, g = 2*a + 2*u. Let i(r) = -r**3 + 4*r**2 - 4*r + 3. Give i(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)\/b)**(1\/19)\/((b*b**(-15)*b)\/(b*b\/(b\/(b*b**(2\/19))))) assuming b is positive.\nAnswer: b**(282\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 630215293 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-45) - 0\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + -12. Let u be (-6 + t)\/((-2)\/44). What is u rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -704*n - 1. Let i(f) = -f. Give l(i(w)).\nAnswer: 704*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1\/2 (b) 0.1 (c) -11 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32525\/46 or 707?\nAnswer: 32525\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.4? (a) 6 (b) -1 (c) 10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**2 - 4*x + 3. Let c be m(3). Calculate the greatest common factor of 18 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 2*v - 5. Is o(-8) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/15132 and -113\/60.\nAnswer: 75660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + l = -0 + 7, 4*l = 12. Suppose -w*u = -2*p + 10, 0 = -2*p + 4*u + 14. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5607 and -4.3.\nAnswer: 24110.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 397*n + 295 wrt n?\nAnswer: 397","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**3 + 4 - 4 + (4*l**2 - 5*l**2 + 0*l**2)*(0 + 0 - l) - 3*l**2 + 2*l**2 - 5*l**3 + 4*l**3 as w*l**3 + t + y*l**2 + q*l and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k + 6. List the prime factors of d(3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**5 - 477*i**4 + 1927*i**3 + 1433*i**2 - 4818*i - 3848 = 0.\nAnswer: -481, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from bbyiny.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfwf when four letters picked without replacement from wfwif?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 + i**5 + 0*i**2 - 3*i**2 + (2*i**2 + 2*i - 2*i)*(3*i**3 + 0*i**3 + 2*i**3).\nAnswer: 11*i**5 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (91 - 122 - 162 - 23 - 96)*(-14*b**2 + 10*b**2 + 39*b**2) to the form v*b**2 + k*b + p and give v.\nAnswer: -10920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -6. Let m be (h\/(-24))\/(9\/(-4)). What is the second biggest value in 1\/2, m, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4075*g + 621*g - 2281*g to i*g + y and give i.\nAnswer: -5735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 0 - k**2 + 1\/2*k**3 + 3*k. Differentiate f(z) wrt z.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492995743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 + 11*u**2 - 11*u + 3. Let f be a(8). Let g be 9\/3 + f + 2. Round g to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*o + 9*o + 56. Calculate the lowest common multiple of o and 178.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-21)*(1 - 0)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 243 - 417. Let y = -165 - b. Solve 0 = -8*p + 11*p - y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24114 + 36955. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (12 + -1)) + (1 - 5) - -23.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 716*z + 626*z - 2000*z to o + m*z and give m.\nAnswer: -658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**3 + 3*q**2 + 4*q + 2. Let x(k) = -7*k**3 + 7*k**2 + 9*k + 5. Let n(f) = 2*f + 1. Let y be n(-3). Determine y*v(c) + 2*x(c).\nAnswer: c**3 - c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -56 + -154?\nAnswer: -1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 5*j - 76. Calculate x(7).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 22883.999 to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 67.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(77)*-1)\/(sqrt(11) + 6*sqrt(11)*3).\nAnswer: 6*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (-17 - -19) - -73?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -266804.49 to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1382390149?\nAnswer: 7, 53, 83, 44893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/2, 2\/3, 0.03, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44146320.1956 - -7.\nAnswer: -44146313.1956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 1. Let z(o) = 4*o**2 + 2*o + 2. Let h(s) = -5*v(s) - z(s). Let k = 7 + -5. Let a be h(k). Solve t - 18 = 4*m, 0 = a*t - 5*t + 4*m + 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q - 6. Let s be i(11). Suppose 9756000 = 9*a - s*a. Round a to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.26669 rounded to 2 decimal places?\nAnswer: -1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 2*a**2 - 3*a. Let r be h(3). Let m = r - -20. Calculate the smallest common multiple of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22033 - 22068.002. Let y = 0.002 + r. Let p = -35.3 - y. Sort 0.03, 4, p.\nAnswer: p, 0.03, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k\/(k\/k**(3\/4)))\/k)*k**0*(k**1)**(-7\/12)*(k*k**(1\/3))**(-2\/79)*(k**(1\/4))**(20\/3) assuming k is positive.\nAnswer: k**(545\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 4 = -6*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 443747586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*w + 2*t, -8 + 23 = w - 4*t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0 = 4*z - 14, -2*z = -5*p + 26. Calculate the remainder when 27 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 47456*b + 281508992.\nAnswer: 2*(b - 11864)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -58, -85, -112, -139?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -29*g**2 - 120*g - 20. Let m be v(-4). Sort m, -2, -3, 0, 4 in increasing order.\nAnswer: m, -3, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 0.047 (b) 0.5 (c) -552 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -23*h**2\/2 + 886. Let j(u) = -28*u. What is v(j(s))?\nAnswer: 644*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1433*s**5 + 101*s**2 + s?\nAnswer: 85980*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-9))\/i*i)\/(i*i\/(i**(-2\/63)*i*i)*i)*(i**0*i)**(1\/12) assuming i is positive.\nAnswer: i**(-2255\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 209.9 - -2916.32?\nAnswer: 3126.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 676791.1 milligrams?\nAnswer: 676791100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16222 + -9021. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**3)\/z*z**(1\/3))\/((z*z**(2\/7)*z)\/(z*z*z*z**3\/z)) assuming z is positive.\nAnswer: z**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -1064*d + 28. Let g(l) = -530*l + 13. Determine 11*g(f) - 5*s(f).\nAnswer: -510*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*q + 12254, 2*k = -3*q - 466 + 8647. Is k a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3333000 to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8\/7, 3, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2181*f**3 + 9*f**2 + 3*f - 2171. Let w(q) = 2181*q**3 - 6*q**2 - 2*q + 2165. Let m(v) = 2*s(v) + 3*w(v). Find the first derivative of m(o) wrt o.\nAnswer: 6543*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 146 - 141. Let b(z) = 8*z + y*z + 10 - z + 5. Let c(a) = 3*a + 4. Determine -4*b(o) + 15*c(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 5*n**4\/4 - n**3\/3 + n**2 + 4*n - 350. Let h(b) = 4*b**3 + 2*b + 3. Give -4*h(v) + 3*r(v).\nAnswer: -v**3 - 3*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -884 times 267289\nAnswer: -236283476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 + -76b6?\nAnswer: -769b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 651, 2574, 5773, 10248, 15999?\n\"Answer: 638*w**2 + 9*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6091, -6092, -6093, -6094, -6095?\n\"Answer: -t - 6090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -11*s**2 - 3*s. Let x(p) = 4*p**2 + p. Suppose -3*w = 5*u - 4, u + 0 + 13 = 4*w. Give w*i(b) + 8*x(b).\nAnswer: -b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 = 0, 2*h - 3*x + 20 = x. Let v = 44 + h. Determine g, given that 44*g**3 - 22*g**3 + v*g**3 + 72*g**2 + 16*g - 50*g**4 = 0.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bfbbkbzfkkfkzkf. Give prob of picking 1 b, 2 f, and 1 k.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by -18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3554 and 0.4.\nAnswer: -3553.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c*s*t - c*s + 32*c*t - 78904*s*t - 41496878*s + 3*t wrt t.\nAnswer: 2*c*s + 32*c - 78904*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 148302 and 41160546.\nAnswer: 452766006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, 5, -3, -17, -37, -63, -95?\n\"Answer: -3*g**2 + 7*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -316?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -15. What is the closest to 0.06 in -2, x, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 + 7*r + 6. Let j be t(-5). Let y = -230 - -213. Let c = j + y. Calculate the greatest common divisor of c and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -24. Let m(g) = -2*g**2 + 64*g - 1 + 20*g - 84*g + 3*g**2. Let f(t) = 15*t**2 - 6. What is l*m(a) + f(a)?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9770304 by 50887.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**5 - 2*g**4 + 4*g**3 + 8*g**2 = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b - 6. Let a(g) = 8*g + 15. Let k(v) = -2*a(v) - 5*c(v). Let o(d) be the first derivative of 0*d**2 + 8\/3*d**3 + 0*d - 4. Give k(o(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.57? (a) -0.8443 (b) 4 (c) 0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-302 + 302 + 6*i**2)*(7*i - i + 0*i) + (2*i**2 - 2*i**2 + 5*i**2)*(-5*i + 0*i + 6*i) in the form x*i + o + y*i**2 + f*i**3 and give f.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 40 = 22*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 216963081\/4380 - 1\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190948443417 + 190948443417 + 5*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 + -47. Let k(a) = c - 4 + 0 + a**2 + 0. Let f(v) = 8*v**2 - 27. Let p(i) = f(i) + k(i). What is the first derivative of p(q) wrt q?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m = -18*m - 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580578*v - 4*q + 42 = 580580*v, -4*v - q + 21 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 105 = 4*q. Let u(g) = -g**3 - 14*g**2 + 5*g - 40. Let n be u(q). List the prime factors of n - 3\/(12\/8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7, 0, 4, 4\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 22*t**2 + 16*t - 211. Give r(-23).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/55 - -163\/110. Let p = -4000 + 3995. Which is the third smallest value? (a) p (b) 0.2 (c) 2\/3 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhff when four letters picked without replacement from fhhjjffjhfhfffjjhjh?\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*z + 142*z**2 + 1119*z**2 + 1 + 19*z + 1094*z**2 in the form y*z**2 + f*z + m and give y.\nAnswer: 2355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114447620*w**4 + 91617825*w**2.\nAnswer: -2746742880*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*m = 1660. Suppose -m = -5*l - 2*q, -4*l - 5*q + 1645 = l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 986076 and 70.\nAnswer: 4930380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (58\/(-145))\/(2\/(-90)). Solve -3*h = 3, -4*s + z = -5*h + 3*h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 806190919?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.16 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*13\/(-104)*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 300, -2, 94 in ascending order.\nAnswer: -2, 94, 300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -119299\nAnswer: -1\/119299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223 + -100203?\nAnswer: -101032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 116350287 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcoozzocpop. What is prob of picking 2 z?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(24 + -19)*5. Solve w - 24 = q*s - 21, -4*w - s = -12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57035339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2 + 584*c + 508618 = 0. Calculate c.\nAnswer: -379, 671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/14*(-2)\/2. Let m be (9\/(-27))\/(3\/9). Is m < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36) + sqrt(108)\/sqrt(3))\/sqrt(2))\/((sqrt(324) + sqrt(36))\/sqrt(4) - sqrt(9))*-1)**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 80*g - 75.\nAnswer: -5*(g - 15)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 486116888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -67449888 divided by 148896\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 176\/(-495)*3 + 4\/6\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17787631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * -2850347\nAnswer: -228027.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, z: 1, o: 2, b: 1, c: 1, h: 1}. What is prob of sequence bo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-6)*(-16)\/6. What is the smallest common multiple of 11 and (-3)\/(-6) - 2\/b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406903790.\nAnswer: 2, 5, 53, 271, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 20*f + 135. Suppose -2*g + 4*b + 14 = 0, 14 = 5*g - 3*b - 0. Let z = g - 1. Which is smaller: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (0 - -2 - 3)) + 2 + 7 + 53.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 2, t: 1, r: 3}. Give prob of sequence qq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -40*m - 31. What is the closest to m in 0.7, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 28. Which is the nearest to -5? (a) r (b) -1\/2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23034755*c*r**3 - 1776595*c*r**2 wrt r?\nAnswer: -138208530*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(6\/7)*o*o*o*((o*o**(-3))\/o)\/o*o*o*o)**(4\/5) assuming o is positive.\nAnswer: o**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:18 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 + -74. Calculate the least common multiple of 82 and (0 - j) + (0 - -2 - 3).\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2\/5 (b) 6\/5 (c) 24645\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*j**3 - 55*j**3 + 7*j - 165*j**3 - j**3 + 67*j.\nAnswer: -303*j**3 + 74*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -981.798\nAnswer: -2945.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 416*s**4 - 417*s**4 - 4*s**2 + 2*s + 231 + 4*s**3 + s**3 - s**3 to w*s + p*s**2 + f*s**4 + l + m*s**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(931) + sqrt(19))*-1)**2.\nAnswer: -16*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(475) + 2)**2.\nAnswer: 40*sqrt(19) + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = r + 2, x = r + 4. Let t be (3 - -1)*1\/x. What is the units digit of 3\/t*30\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -9*i**3 - 3. Let o(r) = r**3 - 1. Give -12*o(f) + 4*p(f).\nAnswer: -48*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -0*o. Let r = 176 + -68. Suppose o*z - r = -3*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260864 is divided by 909.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1608)*32\/24. Let g = i + -7225\/13266. Which is smaller: g or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2042*v - 2053*v = -319. Solve -50 = 4*q - v*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 984 is divided by 66.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.095681437 - -0.095622. Round r to 6 decimal places.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 7*a**2 - 13*a - 36. Let x be f(-8). Suppose x*d - 768 = 2*p - 0*p, 5*d + 4*p = 934. What are the prime factors of d?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46205 - 13555. Calculate the greatest common factor of s and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 193*b**3 - 23*b**2 - 13*b - 9. What is the smallest common multiple of 51 and s(3)?\nAnswer: 84252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 301148 and 13351?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 1\/4)\/((-2)\/4). Which is smaller: -13 or f?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**8\/56 - 3*q**7\/14 + 11*q**4\/4 + 20*q. Find the third derivative of f(y) wrt y.\nAnswer: -120*y**3 - 540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*v + 21 = -3*r - 76*v, 0 = -8*r + 5*v - 9*v + 14 + 50 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61712 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/5)\/1 - (-55 - -57).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/3*(-228)\/16. Calculate the highest common factor of 1045 and n.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 102*d**2 - 2*d + 6. Let p be y(4). Let l = 14148698\/9 - 1573706. Let b = p + l. Find the common denominator of 37\/6 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 100 = -4*x. What is the remainder when 380\/8 + (-3)\/(-4 - 2) is divided by x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98955.43 tonnes in grams?\nAnswer: 98955430000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32281030 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*((2 - -1) + -1). Let h(v) = -2*v**2 + 2. Determine h(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 247? (a) 2 (b) 1\/2 (c) 54.6 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261, -133, -5?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 8. Let q(h) = 3*h + 31. Let t be q(-14). Is t >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -147 (base 8) to base 10.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**2 + 2*i + 14. Let n(t) = 6*t**2 - 5*t - 29. Let j(y) = 5*a(y) + 2*n(y). Solve j(p) = 0 for p.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 54?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) 4 (c) 1\/4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10479460?\nAnswer: 2, 5, 331, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -43\/722 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002908706173 to seven decimal places.\nAnswer: 0.0029087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5b + -1?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -2) + -6 + 0 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 18 = 4*s. Is s + -3*298\/(-6) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -431011 - -15?\nAnswer: -430552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 341 - 98 = 0. Let h(d) = g + 51*d + 2 - 14. Let w be h(3). What is the highest common factor of 21 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l**2*n**2*o**3 - 7*l**2*n**2 + 11*l**2*o**3 + 13*l**2*o**2 + 2*l*n*o**2 - 2*l*n*o + 3*o**4 wrt o.\nAnswer: -18*l**2*n**2 + 66*l**2 + 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3218.7 - -2085649\nAnswer: 2082430.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*p + p**3 - 99*p + 16 - 126*p as u*p**2 + a*p + i + z*p**3 and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -54*(-3 + (6 - -2)). Let m be 10 - ((-2)\/3 - (-70)\/15). Let h be 2\/10 - m\/o. What is the second smallest value in h, -2, 0, 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-27)\/((-7)\/(63\/27)). Let j be (h\/((-27)\/15240))\/(11\/220). Round j to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -3*(-4)\/20. Put p, 0.5, -2\/9 in descending order.\nAnswer: 0.5, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/1)\/((-12)\/144*8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-19 - -25 - 18).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 8:32 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 131\/254 + (-2)\/4. Does g = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (42\/(-49))\/((-1)\/7). Suppose 5*l + s = 14346, 2*s = 4*l + o*s - 11464. Suppose -l = -4*x - 762. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 174 - 176. Sort -3, 5, -4, i.\nAnswer: -4, -3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 3*s = -36. 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: How many minutes are there between 4:08 PM and 8:47 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2406 - -2407. Let g(f) = 3*f - 7. Let b(x) = 1. Determine k*g(u) + 5*b(u).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -645, -1493, -2927, -4941, -7529, -10685, -14403?\n\"Answer: y**3 - 299*y**2 + 42*y - 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {h: 2, n: 2, s: 2, q: 4, f: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 162*r**5 + 8*r**4 - 6*r**3 + 101*r**2 + 4*r. Let k(b) = b**4 - b**3 - b**2. Let z(a) = 6*k(a) - p(a). What is the third derivative of z(d) wrt d?\nAnswer: -9720*d**2 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -317 - -336. Is b less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 17. Suppose 0 = -b*d + 10, 5*k - 2*d - 40 = d. Let w(v) = -5*v**2 + 2*v**2 - k*v**2. Let q(a) = a. Give w(q(t)).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -0.33 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 33, 63, 81, 81, 57, 3, -87?\n\"Answer: -t**3 + 37*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 37 = -3*i, o + 86 = -4*i + 3*o. Let y = i - -19. Let x be (-8)\/28 - (y + 60\/(-14)). Which is smaller: x or 7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8111277 + -0.132\nAnswer: 1.6791277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010110110 (base 2) in base 4?\nAnswer: 122312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11899\/56 + 1701\/8. Let y = -46 - -323\/7. Factor 0 - y*i + x*i**2.\nAnswer: i*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1*-3)\/(-118*18\/(-12036))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2333010 (base 5) to base 8.\nAnswer: -123600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 88918 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -9, -18\/7, -5, -1323?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 1056.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 243506664 and 10314.\nAnswer: 730519992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7398*m + 3696*m + 3699*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299634010 and 2210?\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(637) + 1 - -5*(sqrt(325) - (sqrt(325) + sqrt(325) + 0)))*-6 + -1.\nAnswer: -12 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (45\/(-2))\/5 + (-3)\/6. Let d(v) = 2*v - 1. Let m be d(1). Sort 4, i, m in increasing order.\nAnswer: i, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26104784 is divided by 1613.\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47868 is divided by 7967?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1760144079004 - -0.14?\nAnswer: -1760144079003.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 956 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -956*w + 39. Let f(a) = 1912*a - 87. Give 4*f(m) + 9*v(m).\nAnswer: -956*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -689 = -6*x + 223. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24160269.\nAnswer: 3, 7, 1150489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 19353 = 4*u + 2*c, 0 = 4*c - 4. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 u when four letters picked without replacement from rrrrrrrrrrrrrrurrr?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*i - 3*w + 324 = 136*i, i + 0*i - 4*w = 36 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence slqe when four letters picked without replacement from {q: 4, s: 2, l: 4, e: 1}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -222.759 + -0.241. Let g = -158 - x. Which is the smallest value? (a) g (b) -3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.01 and -1.\nAnswer: 7.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*g + 283*c + 40 = -293*c + 581*c, -4*g - 3*c = 88 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 - 7*c - 25. Does 7 divide s(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 346994601 from -9726.\nAnswer: -347004327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -12*b - 3*q, 56*q - 54*q + 8 = -252*b + 249*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + 0 + (0 - -1). Let z be (-3)\/(0\/(-1) - g). Let c = -0.07 - 0.03. What is the biggest value in 5, c, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((-6)\/(-4) + -1). Suppose -3*x + 5*j = -27, s*x + 0*x - 62 = -2*j. What is the units digit of x\/(2\/(-21)*-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245382, 981498, 2208360, 3925968, 6134322, 8833422, 12023268?\nAnswer: 15703860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 216\/35 (b) 0.0097 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.07 + -8. Let x = v + -0.17. Which is the closest to 0.1? (a) x (b) 3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 15. Suppose 1440 = 27*t + 93*t. What is the second derivative of 12*g**a + g + 13*g + t*g + 14*g**4 wrt g?\nAnswer: 312*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**5*l - 1833*d**3*l - 72*d**3 - 8600004*d*l wrt d.\nAnswer: 60*d**3*l - 10998*d*l - 432*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15484)\/(-2) - (-164 - -154)?\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 + 21*f - 786. Determine g(-26).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.051 - -0.349. Sort t, 0.1, 0, 0.07.\nAnswer: 0, 0.07, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d - 5*d - 2*d + 12*d**2 as i*d + b + t*d**2 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3599 - -3684. Suppose 5*l - 11 + 1 = 0. Suppose l*c = -3*c + o. What is the remainder when 46 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 7*o - 140. Suppose -s = 4*k + 13, 10*s - 8*s + 34 = -4*k. List the prime factors of 414\/s*o\/(-4).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*z**2 - 27*z**2 - 37*z**2 + 0*z + 3*z + 3*z.\nAnswer: 24*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, y: 2, m: 2, t: 8, x: 2, h: 1}. Give prob of sequence xh.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 452916 + -254455. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = t - 10, -2*m - 3*m + 10 = 0. Factor -b**2 - 20 + 6*b**2 - 5*b**t - 4*b**2 + 24*b.\nAnswer: -4*(b - 5)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - a + 11*a - 7 + a. Let b be w(10). Let c(s) = -3 + 2 - s + s**3 + 0*s**b. Determine c(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 9:14 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*f - 0, 0 = -v + 2*f - 9. Let p = v - -20. Suppose 99 = 4*w - 33. What is the remainder when w is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 264*b + 157*b - 4*b**2 - 159*b**5 + 1 - 3 + 5*b**2 + 1 wrt b.\nAnswer: -3180*b**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((13 - 3) + 43 + (-31 - -9)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -29109\/27242 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.42 to 1 decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 - 6 + 12*d**3 - 43*d**2 - 4*d**3 + 7*d**3 + 29*d.\nAnswer: (d - 1)*(4*d - 3)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**4\/4 + u**3 + u**2\/2 - 2*u - 1. Let g be t(-2). Let c(z) = -z**2 - z + 9. Give c(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from {c: 2, e: 2, x: 10}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 - -46. Suppose 9 = b - 0. Let i(z) = 2*z**3 + 4*z**2 + 2*z + 1. Let w(r) = 4*r**3 + 9*r**2 + 4*r + 2. Give b*i(l) + v*w(l).\nAnswer: 2*l**3 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*l - 3*l**2 - 2*l**4 + l**4 - 2*l**3 + 2*l**3 + l**3 to q*l**3 + d*l + b*l**4 + y*l**2 + g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/sqrt(4)*4)**2 + (1*sqrt(99))\/sqrt(9))*-5.\nAnswer: -880 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 499 and 5.7.\nAnswer: 2844.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28714550 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 506*w + 8. Let z(t) = 2*t**2 - 507*t + 6. Give -3*y(a) + 4*z(a).\nAnswer: 2*a**2 - 510*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -52 - 253567?\nAnswer: -253609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2198 and 174304697?\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 103\/5 + ((-12)\/5)\/(-6). Let z be (-9)\/j + (-402)\/(-7). Let r = -57 + z. Solve v + r*v = 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6479 minus 145.763?\nAnswer: -6624.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -1, 1 in increasing order.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.076 - 0.276. Let z(l) = l**2 + 2*l - 1. Let n be z(-3). Which is the closest to n? (a) d (b) 5 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((96\/60)\/(6\/(-5)))\/(-1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 - -1.32. Let p = -1.3 + 1. Let x = p + m. Which is the closest to x? (a) 0.5 (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 348312 and 8.\nAnswer: 348312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 83224573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6326436?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20755000 rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -10 - -11 - -3 - (2 + -2) - -84.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -766*b - 38320. Calculate j(-50).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 998 + -1085. Sort a, 1, 3 in increasing order.\nAnswer: a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -934*c**2 + 4*c**4 - 4*c**4 + 297*c**3 - 2108*c**3 - c**4 wrt c.\nAnswer: -24*c - 10866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442835449?\nAnswer: 7, 71, 891017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -509 and -0.1?\nAnswer: 50.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79357875?\nAnswer: 3, 5, 431, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1477712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15026 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -13*q**3\/3 + 52330*q**2 - 181127*q\/3 + 8050 = 0.\nAnswer: 2\/13, 1, 12075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -160110 divided by -3\nAnswer: 53370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/2)\/(-1 - 1). Let m(x) be the third derivative of -x**6\/120 - x**5\/60 - x**4\/24 + x**3 + 21*x**2. Determine m(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 4*l + 11. Calculate q(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 25*q = -27*q + 7, -2*z = 2*q - 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 0*t + 6*t**3 + 4 + 1\/2*t**2. What are the prime factors of n(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 11, 4\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 813 divided by -11992\nAnswer: -813\/11992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u. Let r(q) = q + 2. Let l(a) = a. Let s(g) = -2*l(g) + r(g). Let f(c) = 24*c - 36. Let o(j) = 2*f(j) + 36*s(j). Give 2*o(n) - 28*v(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**5\/13 - 56*m**4\/13 - 516*m**3\/13 - 1808*m**2\/13 - 2282*m\/13 - 72 = 0.\nAnswer: -13, -9, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/31628652 and -41\/20.\nAnswer: 158143260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012091 rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 7*u + 4. Let v = 2 + -9. Let f be n(v). Suppose -f*h + 40 - 16 = 0. Solve -4*j - h = -2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -12052*g**3 - g. Let f be p(2). Let x = -28415 - f. Suppose -4*r = 2*z - z - 17004, -x = -4*z - 3*r. What is z rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/4))\/((y*y*(y\/y**(5\/2))\/y)\/y))\/(y*y\/(y\/y**13)*y*y**(7\/6)) assuming y is positive.\nAnswer: y**(-167\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 237.9 - 223. Let h = -14.5 + s. What is the fourth smallest value in 1, -3, h, -7\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 445750 and 445750.\nAnswer: 445750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -0.21 in increasing order.\nAnswer: -2, -0.21, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5158880 is divided by 819.\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -277 times 0.1?\nAnswer: -27.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14 or -202\/15?\nAnswer: -202\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25389628*q**2 + 17062049*q.\nAnswer: 50779256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 + 7*p**2 + 10*p + 8. Let j(d) = d**3 + 2*d + 0*d**2 - 3*d + d**2. Let i(h) = 3*j(h) + x(h). Does 13 divide i(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 369 + -369.407. What is a rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-12) + (-30679)\/(-396). Which is smaller: 77 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3862.\nAnswer: 2, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -12. Let c(u) = 10*u**2 - 3*u + 7. Let p(w) = 3*w**2 - w + 2. What is s*p(t) - 4*c(t)?\nAnswer: 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 116\/5 - 11\/55. Let b be (91 - p)\/(1*2). Solve -3*z = 5*s + b, 5*s - 4*s + 5 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3, -151, 1831, 2\/3, 0.2, 2, -1\/2?\nAnswer: 1831","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**4\/5 - 1666*z**3\/5 - 7*z**2\/5 + 11668*z\/5 - 9996\/5 = 0.\nAnswer: -3, 1, 2, 1666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11148.67117 and -0.4?\nAnswer: 11149.07117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 83 - 7*j - 42 + j - 23 to the form v*j + p and give p.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c**3 - 4. Let g(f) = 9*f**3 - 5. Suppose 2 + 48 = 10*j. What is j*o(p) - 4*g(p)?\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x = 52 + 108 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 - 210 = 10*u - 132. Solve -8*b - 23*b = u*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 130094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 - r + 4*r**2 + 3*r**2 - 6*r**2 as l*r**2 + b*r**3 + d*r + o and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 8 + -3 - 3. Calculate the greatest common divisor of 30 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*6\/(-63)*3\/((-12)\/(-28))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 4:53 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - 6\/((-4)\/2). Let q = i - 6. Suppose q*c + 2*c - 75 = 0. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 3*d - o, -3 = -2*d + 6*o - 3*o for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140218.\nAnswer: 2, 13, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*n + 2 + 2, k - 2*n + 4 = 0. Let g(o) = -2*o - 5. Let u(a) be the second derivative of -a**3\/3 - 3*a**2 + 3*a. Determine k*u(h) - 5*g(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311 - -330?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x. What is p(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-2 + 0) - -2 - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 - 34*q**2 + 9*q - 5. Let r(l) = l**3 - 20*l**2 + 5*l - 2. Let t(m) = 4*a(m) - 7*r(m). Give t(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2 + 7*q + 0*q - 3*q + 3*q. Suppose -5*z + 3*u + u + 26 = 0, -2*z = -5*u - 24. Calculate the least common multiple of z and l(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 8:07 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 - 0)*21\/6. Suppose -y + 3*k + 748 = 4*y, -k = 5*y - 764. Suppose y = 2*c + w. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 351*g**2 + 65. Let x be 2\/2*(-2 - 2) + -61. Let b(n) = -11*n**2 - 2. What is x*b(o) - 2*w(o)?\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 3.759153?\nAnswer: -2.6314071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 53\/4 of a meter?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*d)*(d + 2 - 2)*(-113 - 34*d**2 + 113) as m*d + y + l*d**4 + w*d**2 + p*d**3 and give l.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*3\/(-30))\/(1410\/30550).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i*l + 2529573*i + 629327*l**2 wrt l.\nAnswer: -2*i + 1258654*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 14510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -36, -4 in descending order.\nAnswer: 3, 1, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -2303.\nAnswer: 4606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 4, 2, -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -179 + 145*b + 118*b - 264*b in the form u + r*b and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 0*g**2 + g - 3*g**2 + 124 - 59 - 75. Let f(b) = 2*b**2 - b + 7. Suppose -9*n + 18 = 63. Give n*i(q) - 7*f(q).\nAnswer: q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -10.4. Let c = 38 + -38.58. Let k = 0.18 + c. What is the biggest value in -4, k, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 + 5*a - 5. Let k(d) = 4*d**2 + 4*d - 4. Give -4*h(x) + 5*k(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0 - 5*i - 3 - 4*i + 0*i. Let s(o) = 2*o**2 - 8*o - 17. Let p be s(12). Let c be p\/(-63) - 4\/18. Let u(r) = -5*r - 2. Give c*m(h) + 5*u(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 21*q - 16*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4682.392+-1.4449046\nAnswer: 4680.9470954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 28. Suppose 0*t + 2*t - a = 0. Solve 0 = t*u + 4*d + 35, 4*u = 3*u + 2*d + 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.5 + 4. Let u = 2.5 + z. Let a = -610\/9 + 68. Is u bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 252161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 230 - 210. Solve -w = t - 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 8*h**2 + 6*h + 6. Suppose -4*j = -0*l + 2*l + 42, -12 = 4*j. Let f = 22 + l. Calculate s(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4\/5 + 24*o**3\/5 + 589*o**2\/5 + 2004*o\/5 + 288 = 0. What is o?\nAnswer: -12, -3, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h. Let f = -76 - -74. Let a be r(f). Let b(z) = 2*z**3 - 4*z**2 - z + 6. Let o be b(a). Solve -o*l = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t*t**(4\/3)*t)\/t)*t\/t**(-13\/2))\/(t\/(((t*t*t*t**(-5)*t*t)\/t)\/t))**0)**(-37) assuming t is positive.\nAnswer: t**(-1147\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((736\/138)\/8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127370.\nAnswer: 2, 5, 47, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353*t + 349*t - 1399*t + 348*t - 57 + 348*t - 52.\nAnswer: -t - 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - -0.42. Let x = o + 0.04. What is the third biggest value in 1\/10, x, 5\/2, -4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**3 + 66*g**2 - 27*g + 21. What is p(-14)?\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**5\/6 + 2251*y**4 + 14782603*y**3\/2 - 4271444194*y**2\/3 - 10239787480*y - 17705647008 = 0.\nAnswer: -6844, -4, -3, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-6))\/2*(-531)\/(-3). Let k = u + 61. Suppose 0 = -k*z + 1 + 13. What is the remainder when 39 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j - 30. Let b be g(18). Suppose 0 = -7*d + 2*d. Solve 4*l - q = -13, d = 2*l - 2*q + b*q + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 3.2, -0.0497?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85414?\nAnswer: 2, 7, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88031644 and 2589166?\nAnswer: 88031644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2638 = 150*k - 139*k - 23773. What is the remainder when k is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467640662?\nAnswer: 2, 233820331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5109450.\nAnswer: 2, 3, 5, 23, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 24\/7*d**2 + 43\/14*d**4 + 87\/70*d**5 + 1\/49*d**7 - 2*d + 9\/35*d**6 + 1 + 30\/7*d**3. Factor h(p).\nAnswer: 6*(p + 1)**3*(p + 2)*(p + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 324008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 499 divide 11234848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 1\/24*g**4 - 4 + 38\/3*g**3 + 0*g - 1\/60*g**6 + 5*g**2 + 0*g**5. Differentiate w(k) wrt k.\nAnswer: -6*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7217 = -138*i - 170*i + 3361 - 2920 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 432\/4104 - -1*2*(-393)\/(-114).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - h - 1. Suppose 43 = 6*o + 13. Suppose -5*a = -o*z, 4*z - 1 = z + 2*a. Let x(u) = -3*u**3 + 2*u + 2. What is z*x(g) + 2*c(g)?\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2042663 by -4.\nAnswer: -2042663\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 62*u**2 + 564*u + 272. Let y be b(-70). Let x(l) = l**2 + 11*l + 31. What is x(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -117709341*t**2 + 97067024 wrt t?\nAnswer: -235418682*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -129 (b) 1\/109 (c) 0.4 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/1 - 2) + (11 - 9). Suppose a + 12 = -2*y, 120 = -l*a - 3*a + 2*y. Let q = a - -93. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 20*j + 14. Let z be (-1 + 6)*(-24)\/10. Let h be g(z). Let v = -10 - -20. Calculate the greatest common factor of h and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-3)\/1) + 1. Let i be (-4)\/w*(-24)\/3. Solve b + i = -3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 0 (b) -62 (c) 2 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nannanapaa. Give prob of picking 2 a and 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -540716 (base 8) to base 16.\nAnswer: -2c1ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002894113923 rounded to four dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3820 is divided by 142?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**3 - 2*g - 1. Let t be k(-1). Let x be -1 + (0 + (-8)\/(-1))\/2. Let i = t - x. Which is greater: -0.1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((16 + -11)\/5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-2) - (-1 - -2 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j**3 + 15*j**3 + 5*j**3 + 16*j**3 - 3*j - 31*j**3.\nAnswer: 18*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 56 = 251. Suppose -t = -5*u + 31. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 2:17 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7140 = 230*g - 18*g + 145*g for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-5) + (-1602)\/(-45). Let v = -25 + z. Suppose -2*o + 20 = 5*b - 4*o, -4*o = 5*b + v. Solve -5*w + l + 23 = 0, -b*w - 5*l - 3 = 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-3 - 0) + (-1 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - -10002?\nAnswer: 4433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 4, j: 6}. What is prob of picking 1 c and 1 u?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxyttjkkjktkjjxkxet. What is prob of sequence te?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -0.1. Let u = -0.2 - -0.1. Let v = u + -0.9. Sort -3, l, v.\nAnswer: -3, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1923887 divided by 71?\nAnswer: 27097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*l**2 + 94*l**2 - 933*l**3 + 1853*l**3 - 932*l**3.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117766905?\nAnswer: 3, 5, 17, 61, 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/11, 9, 2, -2\/17?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kobq when four letters picked without replacement from uqouqkbx.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 5 - 38)*(-2*t**5 - 2*t**5 + t**5 + (-3 - t + 3)*(-t**4 + 2*t**4 + 0*t**4)).\nAnswer: 236*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 27029 * 0.08\nAnswer: 2162.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.836642 rounded to three dps?\nAnswer: -2.837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 17*k - 54. Suppose -15*l = k*l - 1920. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 306 = -5*l, -2*l - 5*a = 3*l - 315. Suppose 2*u = l + 8. Suppose 13 = -x + u. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-446)\/(-8) + 4\/16. Suppose -5*y + k + 134 = 0. Let l = -411\/11 + y. Find the common denominator of l and -43\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(44)\/sqrt(4)*5 + 1)**2.\nAnswer: 40*sqrt(11) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -251432122 (base 6) in base 2?\nAnswer: -10010011101111001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -222501*l**2 - 3*l - 2. Let k = 3 - 5. Let o be i(k). Round o to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c38a - 3?\nAnswer: -c38d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 20 = 10*q. Suppose -q*p + 8*p = 288. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.034.\nAnswer: 0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.190885313 rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from {h: 2, w: 1, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4961 + 4518 - 9835)*(-t - 2*t + 5*t) in the form k + y*t and give y.\nAnswer: -712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**2 + 134*f**3 + 97*f**3 + 64*f + 2*f**2 - 60*f as p*f + r + h*f**2 + d*f**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k - 4. Let v(g) = 13*g + 6. Let j(r) = -33*r - 15. Let u(w) = 2*j(w) + 5*v(w). Determine n(p) + 2*u(p).\nAnswer: p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 99 (c) -140 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -347.0000168 + 347. Round w to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233131 + 2012121?\nAnswer: 1112330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = 21*y + 98 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -5*a**7\/17 + 418*a**6\/255 - 311*a**5\/85 + 4*a**4 - 97*a**3\/51 - 2*a**2\/17 + 7599*a. What is x in u(x) = 0?\nAnswer: -2\/105, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4147.338 millennia to months.\nAnswer: 49768056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a**3 - 3*a**3 + 2*a**3)*(72 + 67 - 27) in the form j + d*a**3 + o*a + v*a**2 and give d.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -8\/3*q**3 + 0*q + 6 + 0*q**2. Let x(a) = 2*a**2. What is t(x(l))?\nAnswer: -32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 21. Let b(l) = 3*l. What is b(r(a))?\nAnswer: -3*a + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -667 divided by 2.\nAnswer: -667\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a hour in minutes?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 24. Suppose 2*n - 58 + t = 0. Suppose 5*c - 45 = 4*l, -c + l + n = -3*l. Solve 0*s = -5*s + c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 9 = 4*c. Let x = 16 - c. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/719, 1, -2 in descending order.\nAnswer: 1, 3\/719, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**2 - 3257*l + 25732. Calculate i(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/10008 and -43\/26373304.\nAnswer: 237359736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 3*i + 3. List the prime factors of j(4).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*j + 473 = -345*j - 519 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -9)\/(-6) - -3. Let y(h) = h**3 + 8*h**2 + 2*h. Let s be y(-6). Differentiate s*w - 7 - u*w**3 - 60*w wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + s = 27, 0 = 2*j + s + 4*s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 232 - 239. Let c(p) = 12*p**3 - 55*p - 7. Let t(n) = -4*n**3 + 18*n + 2. Let a(m) = u*t(m) - 2*c(m). Find k such that a(k) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 1019007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3342 + 13295\/4. Calculate the common denominator of 0 - 82\/20*-3 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84d43 (base 14) to base 8\nAnswer: 1162617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 23*u**3 - 2*u**2. Let m(g) = g**3 + g**2. Give -6*m(n) - 3*x(n).\nAnswer: -75*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*w - 35*w + 2457 = -71*w - 1503 for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -405*o**3 + 12240*o**2 - 2705*o + 150 = 0.\nAnswer: 1\/9, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1505 - 5?\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w + 242 = 38. Let q be w\/(-2) - (8 + 217\/(-21)). Let a be (34\/(-15) - -2)\/2. What is the second biggest value in a, 0, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prpp. What is prob of sequence ppr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + 1. Let f(u) = -u**2 + 19*u + 89. Calculate the remainder when f(21) is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170776 is divided by 364?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -593.892 - -596. Let z = f + -2. Round z to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/9 + 72*v**2 + 5704*v.\nAnswer: 2*v*(v + 138)*(v + 186)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 2540\/(-6 + 1). Calculate the greatest common factor of a and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2\/9, 16205.9228?\nAnswer: 16205.9228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 + 23*p - 50. Let c be k(9). Let q = -2\/11 + -7\/22. What is the nearest to q in 2.1, c, 5?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, r: 2, k: 2, q: 6}. Give prob of sequence rbk.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 7 - 9 = t, 3*z + 4*t + 34 = 0. Let s be z\/(-45) + (-686)\/(-30). Let x = s - 20. Solve 8*o - x*o = 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1494719895252 + 3.\nAnswer: 1494719895255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 64253192 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 2*h = 0, -5*q + 40 = 2*h + 3*h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (270\/(-12))\/15 + (-13)\/(-2). Suppose -o - h = -1. Is 14 a factor of ((-29)\/o)\/(-5 + (-246)\/(-48))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**4\/24 + 19*b**3\/12 + 2*b + 9. Factor r(a).\nAnswer: -a*(a - 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -41 (c) -0.3 (d) -1\/6 (e) -36 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 57, 1, 0.03, -2, -2392\/9?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbywwwwokokkbw. Give prob of picking 1 o and 2 k.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -250*m + 262*m - 204 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h + 5*h + 2*h + (-3 + 2 - 1)*(-4*h + 0*h + 0*h + (0 + h + 0)*(1 + 0 + 2) - 3*h + 4 - 4 + 5*h - 3*h - 4*h) in the form b*h + o and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15127881 to the power of 1\/2, to the nearest integer?\nAnswer: 3889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 0*i - 20. Let m(d) = -d**2 - 11*d + 6. Let z be m(i). Let x be z\/72 - 50\/(-18). Solve -4*b - 3*f = 8, x*b - 2*f = -2 + 13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 12592\/4433?\nAnswer: 12592\/4433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -475\/66534 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3485 times 2031\nAnswer: -7078035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*i**2 - 5 + 5)*(3 - 4 - 1).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -8255*y**2\/2 + 12806*y - 9618. Differentiate z(n) wrt n.\nAnswer: -8255","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/1349 and 67\/26412.\nAnswer: 501828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 432700 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 294, 234, 172, 108, 42, -26?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 9. Let i(a) = -10*a - 44. Let g(q) = -14*d(q) + 3*i(q). Let b be 5\/45 + (-2)\/18. Determine g(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 3\/2 (c) -0.0545\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/6486*-47*-312.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.2 and 604.9.\nAnswer: -4960.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, z: 1, t: 2, y: 1}. What is prob of picking 1 y, 1 z, and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.01 - 0.01. Let f = -40.063 + 0.063. Let z = 43 + f. Put r, 0.2, z in ascending order.\nAnswer: 0.2, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 16. Suppose -6 = t*i - 180. Let y = 122 - i. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4837371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*g - o - 14, 3*g - o - 20 = 0. Suppose g*f - 180 - 612 = 0. Does 33 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Rearrange 7*w**2 + 5*w - 2*w + 51*w**2 to the form v*w**2 + b*w + l and give v.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6969360+48\nAnswer: 6969408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.24.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 4906 = 4*f. What are the prime factors of f?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1225953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/3803 or -1?\nAnswer: -4\/3803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 51816, 103531, 155242, 206949, 258652, 310351?\n\"Answer: -2*r**2 + 51721*r + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {m: 3, a: 7, g: 2, c: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/9)*q*q)\/(q\/(q*q*q**(2\/27)*q)*q)*(q*q**(5\/3))\/(q*q\/(q*q*q**(1\/27))*q))**(2\/17) assuming q is positive.\nAnswer: q**(12\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 15 = 0, -13*i + 4*w - 16 = -17*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -200 - -200. Solve w = y + 3 - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1460979 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**3\/3 + r**2\/2 - 2*r. Let f be q(-1). Suppose 0 = f*a + 4*v - 0*v - 98, 0 = 4*a - 3*v - 114. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.4 + 5.3. Is -32 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 42, 56, 60, 48, 14, -48?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001901 to five dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -302, -595, -1064, -1703, -2506, -3467?\nAnswer: -4580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**3 - h**2 + 3*h. Let g(q) = -16*q**3 - 6*q**2 + 16*q. Suppose -2269*d = -2265*d + 8. Calculate d*g(z) + 11*n(z).\nAnswer: -z**3 + z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/14, -62, 2, 2\/91, -10 in decreasing order.\nAnswer: 2, 1\/14, 2\/91, -10, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**7\/2520 + v**6\/720 + v**5\/40 - v**4\/8 - 2*v**2. Let d(a) be the second derivative of u(a). Is d(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - 1 - (1 - 2). Let g(s) = -s**3 + 12*s**2 + 29 - 11*s**2 + 23 - 54 - 3*s**2 + 0*s**3 - 6*s. Give g(n).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*u + 1035*u - 551*u.\nAnswer: 247*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + t + 0*t = 10, t = 2*d - 2. Suppose 2*i + 18 = d. Let n(u) = -u**2 - 11*u - 15. Does 2 divide n(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18429.95433 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, 4, 12\/197 in ascending order.\nAnswer: -0.5, 12\/197, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/3)\/v)**(-3\/5)\/(v*v*v*v**(1\/3)*v\/(v**8*v)))\/(v**(-1\/10)\/v**7)**(4\/11) assuming v is positive.\nAnswer: v**(1262\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 525629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**6 + 105*l**5 + 319*l**2.\nAnswer: 240*l**3 + 6300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -11. Is (-4)\/((6\/8)\/z) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -3607?\nAnswer: -3607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/8*-6 + 5. Let l be (-25133 - (0 + 0))\/(g\/(-972)). Suppose l = -4*w - 11865362. What is w rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 5:22 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 685 and -591749227.\nAnswer: -591748542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 3674 = -6*c - r, 4*c = 3*r + 2937. Is c a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*f = -f + 3, 4*f + 2 = 2*v. Suppose 3*a + 0 = -v*y + 28, 2*a - 12 = -5*y. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*o + 4*l + l, 4*o + 3*l = 20. Suppose 2*j - 16 = -o*j. Suppose 5 = z + j*z. Solve -2*h - 12 = -2*w, h = 2*w - 9 - z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b. Let z(f) be the second derivative of f**4\/12 + 42*f. What is z(d(a))?\nAnswer: 64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370 divided by -8557?\nAnswer: -1370\/8557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - -37. What are the prime factors of j?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 3*c + 13 = -18, -4*c - 17 = 5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 3*q + 2, -2*b - 25*q + 27*q + 12 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**8\/336 + p**7\/210 + 2*p**2 - 4*p. Let v(d) be the first derivative of f(d). Determine g, given that v(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g**(3\/8)*g)*g**(-5\/14)\/g assuming g is positive.\nAnswer: g**(-41\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a hour in minutes?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.3 (c) 637.4 (d) 48 (e) -4\/7 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r**2. Let f(m) = m**2 + 2*m + 2. Let b be f(-2). Let x(n) = 2*n**b - 56*n + 56*n + n**2. What is j(x(a))?\nAnswer: -63*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**4\/66 - 4*r**3\/33 + 19*r. Let g(t) = 0. Calculate t.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 11*v = 1. Suppose 0 = k + 5, -k = -c + 2*c + 5. Let h = v - c. Solve n + 6 = h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 476.797 + -477. Round m to two decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -52*f + 11111. Give d(214).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6385 and 0.059?\nAnswer: 6384.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23309847?\nAnswer: 3, 11, 173, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 7:42 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.17 - 16. Let k = z - -0.03. What is the nearest to -0.1 in -1\/9, k, 2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppbpppbppppbpp. What is prob of sequence bbp?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 237221169 to the nearest integer?\nAnswer: 15402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1070*t + 11768. Calculate j(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -17. Let x = -96 - -149. Let r = x - o. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -5*y + 4*r + 1, -4*r - 68 = 4*y. Let k = 1 - y. Calculate the remainder when (-845)\/(-8) + ((-3780)\/(-224))\/45 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055 at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfrirvuiv. What is prob of picking 1 r and 1 i?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 10*o - 50. Suppose 5*w + n = -2*n - 5, o*n = 2*w - 29. Is (w - -131)*(2 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -11. Let p = r + 24. Sort 9\/7, p, 4 in increasing order.\nAnswer: 9\/7, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33794303?\nAnswer: 33794303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cznt when four letters picked without replacement from cnhcztc.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -651*d + 1. Let l be m(-1). What is the units digit of l\/28 + 2\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118746592, 118746597, 118746606, 118746619, 118746636, 118746657, 118746682?\nAnswer: 118746711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 19*k**2 + 20*k + 5. Let v(f) = 3*f - 10. Let n be v(10). Let b be j(n). Solve -4*c + 0 + 21 = -5*p, -b*p + 7 = 3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2 + sqrt(500))*6 - sqrt(500)) + 1 + -2*(1 + sqrt(605) - sqrt(15)\/(sqrt(18)\/sqrt(6)))**2.\nAnswer: -1073 - 340*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98204.\nAnswer: 2, 24551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.315 + 4.315. What is the closest to 4 in -1\/5, -3\/5, -16, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9033 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - u**2 - u + 13. Let w be s(0). Let a be w\/3 + 6\/9. Suppose 0*r + 26*r = -3*r. Put a, r, 9 in decreasing order.\nAnswer: 9, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78594\/13 - 550080\/91. Factor 9\/7*z**2 - 3\/7*z**4 + o*z**3 - 12\/7 - 12\/7*z.\nAnswer: -3*(z - 2)**2*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10797.02 rounded to the nearest one hundred?\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 + -419\/6. Let v(f) be the first derivative of -x*f**6 + 0*f + 0*f**4 + 0*f**5 - 1 - 1\/3*f**3 + 0*f**2. What is the third derivative of v(j) wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 5*y**2 - 2*y - 2. Let m(q) = -2*q - 10. Let x be m(-7). Let s be g(x). Suppose -k + s*k - 20 = 0. Solve k*t - 18 = -6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9408153 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 381 - 134 = -j, -193 = -n + 5*j. What is the remainder when n is divided by (-247)\/(-7) + 4\/(-14)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*l**3 + 20*l**3 + 48*l**3 + (-2 + 3 + 1 + 2*l)*(-1 + 1 + l**2) to the form h*l**2 + n*l**3 + y + d*l and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - 19. What is the remainder when s is divided by (-16)\/(-72) + 176\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-21) - 3 - (-7)\/49.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-52)\/130)\/(1 + -3) + 63374\/5 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/5, 1\/28, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 + 3320*i**3 + 6655*i**2 + 3330*i.\nAnswer: -5*i*(i - 666)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15756 + 1409. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491732363.\nAnswer: 67, 311, 23599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3729.1 and -2?\nAnswer: 3727.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b**3 - 4*b. Let g(j) = 1. Let p(u) = d(u) - g(u). List the prime factors of p(-2).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 95*f + 413*f + 56*f)*(-13 - 14 + 25).\nAnswer: -1128*f + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 7:54 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + z + 5*n - 27, -2*z - 2*n = -14. What is the second derivative of 66*a**z - 26*a + 22*a**5 - 66*a**4 wrt a?\nAnswer: 440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 3)*(-5 - 1 + 3)*(-5 + 2 + 1)*(-16 - 14 + 10)*(-2*u**3 + 0*u**3 + 3*u**3) to i*u**2 + t*u**3 + x + w*u and give t.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 4*o**2 + 2*o - 13. Let z be r(3). What is the derivative of 746*b**4 - 3*b**2 - b**z - 162 - 20 - 751*b**4 wrt b?\nAnswer: -20*b**3 - 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/((-665)\/(-70)))\/(138\/(-2))?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*n - 2. Suppose -n*u = -u. Suppose -2*l - 2*z + 97 - 23 = u, -90 = -3*l + 4*z. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96254 and 153.\nAnswer: 866286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 67 + -2419.207299\nAnswer: -2352.207299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + (-36 + 19 - -19)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/15564 and -91\/176?\nAnswer: 684816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 135241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*p + 4*p. Suppose 14*v - 16*v - 34 = 0. Put v, -5, p in increasing order.\nAnswer: v, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 18*v + 643. Let k be 27\/15*v\/(-18). Solve 4*m + 3 = -z, -4*z - k*m + 3 = 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/11 - 350*w**2\/11 + 40273*w\/11 - 1527696\/11.\nAnswer: (w - 144)*(w - 103)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**18\/k*k)\/k)**(-2)*(k\/k**(-11))**(1\/46) assuming k is positive.\nAnswer: k**(-776\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10573 + 10712. Solve 14*h = -111 + n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -149, -2, -0.2, -0.16 in decreasing order.\nAnswer: -0.16, -0.2, -2, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 142760.\nAnswer: 142760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1551035 + 66.\nAnswer: 1551101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.4 or -6.787075?\nAnswer: -6.787075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 10*v**2 - v - 7. Let m be b(-10). Let g(o) = 3*o - 3*o + 5*o + o - 5*o + 1. What is g(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2097*l**2 - 24607 - 2097*l**2 + 4192*l**2 + 2*l.\nAnswer: -2*l**2 + 2*l - 24607","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130\/(-92) + 9*(-1)\/(-6).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*d + 7, 25*l - 27*l - 3*d = 7. Solve l*y = 11*y - 2*b - 26, -5*b = 3*y + 13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-45)*c**34\/c*(c\/c**(-9)*c)\/((c**(-35)\/c)\/c))**50 assuming c is positive.\nAnswer: c**1800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 241, 950, 2133, 3790?\n\"Answer: 237*t**2 - 2*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-59 + 59 + 114*q)*(-4*q**2 - 3*q**2 - 4*q**2) as s + m*q**3 + k*q + t*q**2 and give m.\nAnswer: -1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o + 1 - 1 + o - 1 + 1 + 4*o + o - 3*o + (4 - 3 + 1)*(3 - 3 + o) - 5477*o + 2615690 - 2615690 in the form b + r*o and give r.\nAnswer: -5469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-49)\/(-3) - 4\/(-6). Suppose 0 = 3*d - 4*d - w. Let g be (3 + d\/5)*5. Put -1, 3, g in decreasing order.\nAnswer: 3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g\/(g\/(g\/(g\/(g*(g\/g**(-1\/5))\/g))))))\/g)\/g)**17)**(-2\/65)*((g\/(g**(2\/7)*g*g))**(10\/17))**(-13\/5) assuming g is positive.\nAnswer: g**(120556\/38675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 + 85. Which is the fourth smallest value? (a) s (b) -2\/5 (c) -4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4059*s**3 - 492*s**2 - 164*s. Let t(c) = 4*c**3 + 3*c**2 + c. Determine -164*t(y) - u(y).\nAnswer: -4715*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 29. Let y be (29\/i - 5)*(-20 - 0). Determine g so that 2*g**2 + 0 - 4\/3*g + y*g**3 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 5*y - 112 + 312, 11*r = -2*y + 21 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13023258 to the power of 1\/2, to the nearest integer?\nAnswer: 3609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -185 - -17410. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 - -2.93. Let j = -11 - -20. Let w be j\/324 - (-2)\/9. Which is the second biggest value? (a) p (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (2 - 19) - (-4 - -2 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.0314299 years?\nAnswer: 0.3771588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0473 - 0.0527. What is the second biggest value in 31, 2\/5, -3, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkv. What is prob of picking 1 v and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 0*l**2 + 4\/3*l**3 + 5 + 0*l. Suppose -5*a - 4 - 1 = 0. Let u(b) = -b**2 + b. Determine a*d(c) - 2*u(c).\nAnswer: -2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4647.976s in milliseconds?\nAnswer: 4647976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z. Suppose z = -3*x + 117 - 12. What are the prime factors of x?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from ememmeememem?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 + f - 4. Let s = 0 - 2. Let g(w) be the second derivative of -w**3\/6 + w**2\/2 - 53*w. Calculate s*g(z) - u(z).\nAnswer: 2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42.02 - -40.02. Sort 0.1, 2, i, 0.05 in decreasing order.\nAnswer: 2, 0.1, 0.05, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 35935 - 19084. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -800 - -816. Let d = 130 + -146.6. Let t = s + d. Round t to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -25 (b) 2\/21 (c) -3 (d) -129 (e) -32\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 30420758.5 to the nearest ten thousand.\nAnswer: 30420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 4*u - 5*n, -5*u + 193 = -4*n + 84. Solve 2*p - 3*d = -u, -3*d + 32 = -3*p + 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*i**2)*(i + 57*i**2 + 486 - 484 + 0*i) to q + a*i**4 + m*i**3 + l*i**2 + h*i and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4081*k**3*q**2 - 5653*k**3*q wrt q?\nAnswer: 8162*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 81.10144 days?\nAnswer: 7007164416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 0*u - 2*u)*(-3*u**2 + 3*u**2 - u**2) - 2*u**2 - u**3 + 2*u**2 + 595*u - 595*u + 69*u**3.\nAnswer: 67*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7021 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1357 + -1324. Solve -b = 5*a - 15, -h + 8 = -5*b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62298151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 9*f + 7. Let c be u(-8). Suppose 2*a = -5*r + 5, -2*r + 10 = 2*a - 4. Calculate the highest common factor of c and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 915 - 594. Let p be -2 + v + (1 - 1). Suppose p - 24 = l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j - 4. Let m = 22192 - 66574\/3. Let d(a) be the second derivative of m*a**3 + 10*a + 0 - 3\/2*a**2. Give 4*d(u) - 3*f(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 97*x**3 - x - 806*x**3 + 332*x**3 + 2623 - 733*x**3 wrt x.\nAnswer: -3330*x**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 414341 = -3*h, -15*h - 207181 = -2*x - 10*h. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8009774?\nAnswer: 2, 4004887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 77?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -45852.161 to the nearest one thousand.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*q - q**3 + 21*q + 16*q - 10*q + 2.\nAnswer: -q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Let a = -46 - -46. Let g = 2.4 + -0.4. What is the nearest to u in a, g, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Suppose 2*l = -d*l - 16. Let u(q) = q**2 + 8*q + 11. Let i be u(l). What is i rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 7:02 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + -2.6. Let o = 75\/2 - 36. What is the closest to -1 in o, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 + 2*x**2 - 6*x**2 + 7*x**2 to v*x + h*x**3 + m + p*x**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 25*x - 21. Let v be o(24). Suppose -3*y + 17 = -2*g, -v*y = -7*y - 5*g + 15. Solve -29 = -y*w - 19 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 1.9.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 2*k**3 - 13*k**2 - 2 + 0 - 1 - 3 - 13*k**2 as c*k**3 + n*k + v*k**2 + h and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 27*q. Let z(m) be the first derivative of -2*m**3 + 54. Determine l(z(a)).\nAnswer: -162*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/242 and -63\/35992?\nAnswer: 395912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 5*m**2 - 2*m - 6. What is p(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/403340 and -45\/80668?\nAnswer: 403340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 5*r + 3. Let k(l) = 2*l**2 + 7*l - 4. Determine -5*k(o) - 7*w(o).\nAnswer: -3*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 + 2*c**2 - 4*c. Determine d(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52640 = 3*t - o + 3*o, -t + 3*o = -17554. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r + 3. Suppose -8 = b + 3*b. Let q(z) = 15*z + 13. Let d(c) = c. Let n(m) = b*d(m) + q(m). Let u be 4 + 5 + 3 + -3. Calculate u*o(v) - 2*n(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77 + 77 - 25*t**2)*(-1 + 6 - 3)*(5*t**3 - 6*t**3 - t**3).\nAnswer: 100*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*d - 22*d - 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/37)*(w*w*w\/(w*w**(-26)*w)*w)\/w*w*w*w\/(((w**(2\/13)*w)\/w)\/w)*w**(-7) assuming w is positive.\nAnswer: w**(11457\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-152 - 1) + (363 - (172 + 150))?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -202*d + 406*d + 181 - 168*d**4 - 4933*d**4 - 211*d wrt d.\nAnswer: -61212*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -4, -90, -2 in ascending order.\nAnswer: -90, -4, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3, -2*h + 8*m = 9*m + 1433. Is -2 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1734371, 3468717, 5203065, 6937415, 8671767, 10406121, 12140477?\n\"Answer: h**2 + 1734343*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**2 + 92956852*w + 185913720 = 0.\nAnswer: -2, 23239215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqgggixxg. Give prob of picking 1 g and 2 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i. Let f(l) be the third derivative of l**6\/360 - 31*l**4\/24 - 23*l**2. Let v(u) be the second derivative of f(u). What is v(a(r))?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 6 = 6, -4*z - h = 3. Let a = -1 + 14. Suppose -o + 20 = -3*b, z = 2*b + a - 5. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**3. Let o be t(-1). Let j(w) = -w + 16. Let g be j(o). What is the greatest common divisor of 231 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 676809 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 2*i**3 + 4*i**4 + 1 + 2*i**3)*(-5 + 1 - 2).\nAnswer: -24*i**4 - 6*i**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 12*q**2 + 9*q + 30. What is v(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 12 + 8 + 2*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 751*o - 4969 + 29001 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {o: 5, s: 4, c: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 7) + 4 + (0 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-9)\/18*10\/175.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2. Suppose 3*n = -1 + 10. Suppose -2*f = -n*f + 3. Let z(o) = 53 - f*o - 53. What is z(g(p))?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -9. Suppose 8 + 1 = x. Calculate the remainder when l is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - 12 + 12 to the form h + n*t and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 11*s = 3*g - 23, 2*g = 4*s + 26. Sort -2, s, -6, 13.\nAnswer: -6, s, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5*(1 - (-6)\/(-3)) + 16.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(36)*3)\/sqrt(12))**2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(3)*2 + 0 + -1.\nAnswer: -3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*n + 19, 5*z = 10*z + 5*n - 40. Solve 3*v + z = -4*r - 6, 2*r - 5*v = 13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1352?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.172 - -8.828. Let z = 5 - -1. Let l = g - z. Which is the nearest to l? (a) 2 (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3236, -57, 7 in descending order.\nAnswer: 3236, 7, -1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -10. Let g(v) = 3*v**2 - v - 10. Let a be g(l). Calculate the highest common factor of 40 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 93015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9+-2880725217387\nAnswer: -2880725217396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31.3 + -28.744. Let f = -1.24 + g. Round f to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1846.305 nanometers in kilometers?\nAnswer: 0.000000001846305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 229505 - 1140757\/5. Let s = 1359 - v. Calculate the common denominator of s and (1\/(-10))\/((-2)\/(-152)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpy when three letters picked without replacement from ggpptcuty?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 32.7 times -0.023\nAnswer: -0.7521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i - 24. Let p(w) = -w + 1. Give o(c) + 4*p(c).\nAnswer: 2*c - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3107\/11 or -281?\nAnswer: -3107\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11324 (base 8) in base 3?\nAnswer: -20121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-7) - 222\/(-42). Let w = -1 + n. Suppose -w*y - 8*o + 80 = -3*o, 2*y - 42 = -3*o. What is y rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2011*m + 9988. Determine g(-5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-14)*(-4)\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -25*d**3 + 2*d**2 - d. Determine c(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a micrometer in nanometers?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u - 14. What is the units digit of q(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/140 - 213\/140. Which is smaller: -6 or j?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -38074, -38117, -38170, -38221, -38258, -38269, -38242?\n\"Answer: 2*o**3 - 17*o**2 - 6*o - 38053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 8) in base 12?\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-9\/2)*x\/(x\/(x\/x**(-1\/6)))*x**8\/(x*x**(1\/6)) assuming x is positive.\nAnswer: x**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*p - 10940 = 0, -22*c - p + 10934 = -19*c. Calculate the lowest common multiple of c and 4.\nAnswer: 3644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 2 + 0)*(0 - 1 - 1) - 4 + 313 + 135)*(-3*l**3 - l**3 + 5*l**3) in the form n + i*l**3 + b*l**2 + o*l and give i.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 19 = -2*u, -2*u + 0*u - 2*n = -16. Let w(o) = o + 1. Let t(z) = 7*z + 4. Let g(p) = u*w(p) - t(p). List the prime factors of g(-9).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 3:47 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 1 + 1 - 2 + 1 to w*f + r and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -0.4 (c) -251 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 7)*(j**3 - j**3 - 2*j**3)*(1 + 0 + 0) - 90925 - 46*j + 90925 - 13*j**3 in the form f*j**3 + w*j**2 + r + n*j and give n.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 219*q**2 + 6*q**5 - 14*q**5 + 5*q**5 + 22*q**3 - 4*q**3 wrt q?\nAnswer: -180*q**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2 - 485*i**3 - 378*i**3 - 136*i**3 + 3*i - 2. Let u = 3 - 1. Let y be z(u). What is y rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -28*i - 61. Let u be y(-2). Let n(b) = -6*b**3 - b**2 - 16*b + 4. List the prime factors of n(u).\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59138581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*s**2 - 10013*s - 4219 wrt s.\nAnswer: -6*s - 10013","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**(-2)*q)\/q)**(2\/9) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/4 + -2 + 427\/(-14). Let v(s) = -7*s - 25. Is v(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + o + 2*c = -26, -16 = -2*o + c. Suppose o*y = 2*y + 220. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 s, and 1 k when three letters picked without replacement from {r: 1, k: 1, s: 2, w: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110052 and 8424.\nAnswer: 8584056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*y - 200 + 338 = -1137 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15038 is divided by 3756.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (60\/(-28) - -2)*-7. Sort s, 3, 4.\nAnswer: s, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + q**3 + 0*q**3)*(-9*q - 17*q + 7*q) + (-166 + 42*q**4 + 166)*(0 + 0 + 1).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a*a**(1\/3)*a)\/a)\/a))**(-1\/3)*(a**(-4\/5))**(-50) assuming a is positive.\nAnswer: a**(358\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2107 - -4082. Suppose 4 + 16 + t*x**2 - 1980*x**2 = 0. What is x?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6*b + 20. Suppose y = b*i + 3771, 20 - 8 = -3*y. What is i rounded to the nearest 10?\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38.61 - -39.01. Sort y, 187, 1 in increasing order.\nAnswer: y, 1, 187","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2359934341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -8251733 less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/43, 1, -286?\nAnswer: -286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1\/683, 3\/2, -1, -0.068?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/142 and 33\/2698.\nAnswer: 2698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39321405301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppnnnnn. Give prob of sequence ppn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*n + 327*n - 35 = -v, 3*v + 11 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 439 - 340. Suppose 0*p = 9*p - w. Put -10, 1, p in ascending order.\nAnswer: -10, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**4 - 5*x**4 - 2*x**5 + (1 + 1 - 7)*(5*x**5 - 9*x**5 + 0*x**5).\nAnswer: 18*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -0.2, 2\/33 in increasing order.\nAnswer: -0.2, 2\/33, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(2\/9)\/v)\/(v*v**(1\/2)))\/(v\/((v*v**1)\/v))**(5\/7))**14 assuming v is positive.\nAnswer: v**(-287\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -67, -2\/43, 5, 0, -170 in descending order.\nAnswer: 5, 0, -2\/43, -0.4, -67, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5530242 (base 6) in base 11?\nAnswer: -179522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8008 times -0.1402?\nAnswer: -1122.7216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034979 to the power of 1\/2, to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.3. Let d = i + 2. Let o = 2671\/11 + -243. What is the closest to -0.1 in d, o, -2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (217 + -103)) + 154?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6831339, -13662714, -20494089, -27325464, -34156839, -40988214?\n\"Answer: -6831375*d + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3776364 milligrams to grams.\nAnswer: 0.0003776364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-30))\/(63\/(-105)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.049247?\nAnswer: 0.0098494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19505 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 91 = 3*a, 4*j + 0*a = -2*a + 66 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 8:14 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 d when three letters picked without replacement from vivmdviivvdvsvvvvu?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 13. Determine j(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (l**2 + 6*l**2 - 31*l**2)*(l - 2*l + 2*l + (0*l + l + l)*(-2 + 3 - 2) + l + 0*l - 4*l) as n*l + k + d*l**3 + b*l**2 and give d.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45.73 + -46. Let r = 4.1435 + -3.8435. Which is the nearest to -1? (a) 0.2 (b) r (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1340768212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 n when four letters picked without replacement from {n: 5, t: 3, p: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 + -112. Let l = f + 87. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 223 + -223.000000584. Round r to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 8) in base 12?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 13*x**2 + 181*x + 160. Let d be s(-13). Solve -d*y + 201 - 173 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/10, 1\/6, -1, 30?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3685550977573 and 6?\nAnswer: 3685550977579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1112364, 2224729, 3337094, 4449459, 5561824?\nAnswer: 6674189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8))**(-2\/13)\/((n**(-6)\/n)\/n*n\/(n\/(n\/(n*n**(-11)\/n)))) assuming n is positive.\nAnswer: n**(-36\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + 0.2999892. What is y rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/998104 and 27\/109?\nAnswer: 108793336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3910)\/(-1700) - (-4)\/10. Let t(k) be the first derivative of 2*k**3 - 9\/20*k**4 - 17 - u*k**2 + 6\/5*k. Factor t(a).\nAnswer: -3*(a - 2)*(a - 1)*(3*a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-663)\/26)\/(1\/(-2)). Calculate the highest common divisor of 34 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 391715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 8. Let h(g) = 47 - g - 47. Let w(t) = -4*h(t) - v(t). What is the units digit of w(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + 4. Let d = j + -23.1. Let r = 1.6 + d. What is the nearest to -1 in 0, 0.2, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -651\/67699 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330228798?\nAnswer: 2, 3, 109, 504937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/3 + 8\/(-12). Let g(n) = 22*n + 1. Let d be g(4). Suppose -36 = -5*t + d. Solve s + t = h*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 898 + -1793\/2. Let x(y) be the first derivative of -b*y**2 + 1 + y. Calculate x(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78.99 + -80. Let d = z + 1. Let x = -0.0132 - d. Round x to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-18) + -1 - 34850\/1224. Let t = f - -367\/12. Which is bigger: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-20)\/t**13*t**(-3\/2)\/(t*t\/t**(-11)*t) assuming t is positive.\nAnswer: t**(-97\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 9. Let x(r) = -r + 2. Let l be x(0). Solve 4*n**4 + n**5 + 0*n + n**5 - n**l - q*n**2 - 2*n = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/34205 and -25\/1614476.\nAnswer: 8072380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -5. Suppose -2*c + 6 = 3*b, b = -c + 5*b + 3. Calculate the smallest common multiple of 8 and 18*m\/(-18)*c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -579183 or -579182?\nAnswer: -579182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -662.993544 - -663. What is f rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40258121*w**3 - 4*w**2 + 9*w + 897784.\nAnswer: -241548726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 7580 = -2*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2. Let w(b) = -b**2 - 3*b - 4. Let r be w(-3). Let j(l) = 8*l + 2. Let s(c) = -81*c - 21. Let a(k) = r*s(k) - 42*j(k). Determine a(g(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 19*d**3 - 19*d + 19. Let x(m) = m - 1. Determine 6*r(o) + 114*x(o).\nAnswer: 114*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + t**2 - 142*t + 8. What is k(11)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -385 divided by 1?\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3}. Give prob of sequence gg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m + 600 = 3*z - 29*m, -3*z - m + 580 = 0. Calculate the least common multiple of 15 and z.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.247259 to 3 dps.\nAnswer: 0.247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n + 6*n + 3*n. Let h(t) = -2*t. Determine q(h(v)).\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 381434 + -381461.8309. Let j = o + 28.3309325. Let s = j + -0.5. What is s rounded to six dps?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-4*sqrt(144))\/sqrt(12))\/(sqrt(6) - 4*sqrt(294)))**2.\nAnswer: 32\/243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 6 - 2 = 4*q, 5*r + 5*q - 40 = 0. Let j be 86\/6 - r\/(-6). Solve 0 = -2*w - w + j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(50) + 2 + (-3*-1*sqrt(100))\/sqrt(2))**2.\nAnswer: 160*sqrt(2) + 816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 > -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*r - 80*r + 1360 = 0. Solve 13 = -3*d + l, -4*d - r*l + 4 = -4*l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19732993*n + 3884444 wrt n.\nAnswer: 19732993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278110723.\nAnswer: 11, 25282793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 60. Let q be w(-29). Differentiate -200*v**2 + 212 - 23*v + 23*v - q*v**2 with respect to v.\nAnswer: -462*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -636*l**5 - 71*l**3 - 3388502*l**2 + 3 wrt l.\nAnswer: -38160*l**2 - 426","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Expand 16*i**4 - 4*i**4 + 2*i**3 - 9*i**4 + (-2 - 3 + 1)*(-6*i**4 + 45*i**3 - 45*i**3).\nAnswer: 27*i**4 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/12 + 22850\/(-72). Let b = 5315\/18 + t. Find the common denominator of 47\/5 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -11*x**2 + 7*x + 23. Let h(t) = t**2 - t - 2. Determine 18*h(c) + 2*m(c).\nAnswer: -4*c**2 - 4*c + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atoa when four letters picked without replacement from totoatoaatsasaatsos?\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4659180 a multiple of 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92713496 is divided by 125?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262944.\nAnswer: 2, 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2 + 4. Suppose 0 = 3*d + 2*t - 1511 - 2520, -2*t = -w*d + 2694. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-8)*480\/36?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -97.2243256 to 2 decimal places.\nAnswer: -97.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 354 - 107. Let b(n) = -211*n**2 - 4*n - 223*n**2 - n**3 - 13 + 443*n**2. Let j be b(8). What is the greatest common factor of q and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 - 3*y + 4. Let t be x(3). Let h = -4 + t. Suppose 0 = 5*m + 4*q - h, 3*m + 2 = 5*q - 2. Sort m, 1, 0 in increasing order.\nAnswer: 0, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58.56 - 58. Let d = o + 1.44. Let j be 1 + -2 - 1\/(-2). What is the closest to j in 5, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, n: 1, l: 3, m: 6}. What is prob of sequence tn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 394715.7025 to the nearest ten.\nAnswer: 394720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 82, 66292 in descending order.\nAnswer: 66292, 82, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 188563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 89 = 2*i, -4*y + 120 = 2*i - 14. Solve -62*s + 15 = -i*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 35.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/9*w**4 - 50\/3*w**2 + 0 + 40\/9*w**3 + 0*w = 0. What is w?\nAnswer: 0, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3 = 5*o - 2*v, 2*v = 2*o - 6. Let u(h) = 2*h - 3. What is the remainder when 2 - ((1 - 5) + o) is divided by u(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}